The Mathematical Institute, University of Oxford, Eprints Archive

Items where Subject is "A - C > Biology and other natural sciences"

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Al-Shammari, A A and Gaffney, E. A. and Egginton, S (2012) Re-evaluating the use of voronoi tessellations in the assessment of oxygen supply from capillaries in muscle. Bulletin of Mathematical Biology, 74 (9). pp. 2204-2231.

Rao, Arni S.R. Srinivasa and Thomas, K. and Sudhakar, K. and Maini, P. K. (2009) HIV/Aids epidemic in India and predicting the impact of the national response: mathematical modeling and analysis. Mathematical Biosciences & Engineerig, 6 . pp. 779-813.

A

Addison-Smith, B. and McElwain, D. L. S. and Maini, P. K. (2008) A simple mechanistic model of sprout spacing in tumour-associated angiogenesis. Journal of Theoretical Biology, 250 (1). pp. 1-15.

Agarwal, S and Deane, C M and Porter, M A and Jones, N S (2010) Revisiting date and party hubs: novel approaches to role assignment in protein interaction networks. PLOS Computational Biology, 6 (6). e1000817.

Alarcon, T. and Byrne, H. M. and Maini, P. K. (2003) A cellular automaton model for tumour growth in inhomogeneous environment. Journal of Theoretical Biology, 225 (2). pp. 257-274.

Alarcon, T. and Byrne, H. M. and Maini, P. K. (2005) A design principle for vascular beds: the effects of complex blood rheology. Microvascular Research, 69 (3). pp. 156-172.

Alarcon, T. and Byrne, H. M. and Maini, P. K. (2004) A mathematical model of the effects of hypoxia on the cell-cycle of normal and cancer cells. Journal of theoretical Biology, 229 (3). pp. 395-411.

Alarcon, T. and Byrne, H. M. and Maini, P. K. (2005) A multiple scale model for tumor growth. Multiscale Model Simulation, 3 (2). pp. 440-475.

Alarcon, T. and Byrne, H. M. and Maini, P. K. (2004) Towards whole-organ modelling of tumour growth. Progress in Biophysics and Molecular Biology, 85 (2-3). pp. 451-472.

Alarcon, T. and Byrne, H. M. and Maini, P. K. and Panovska, J. (2006) Mathematical modelling of angiogenesis and vascular adaptation. In, Multidisciplinary Approaches to the Theory of Medicine, R. Paton and L.A. McNamara (eds) Studies in Multidisciplinarity,, 3 . pp. 369-387.

Alarcon, T. and Owen, M. R. and Byrne, H. M. and Maini, P. K. (2006) Multiscale modelling of tumour growth and therapy: the influence of vessel normalisation on chemotherapy. Computational & Mathematical Methods in Medicine, 7 (2-3). pp. 85-119.

Alber, M and Maini, P. K. and Niebur, G (2013) Biomedical modeling: the role of transport and mechanics. Bulletin of Mathematical Biology, 75 (8). pp. 1233-1237. ISSN 0092-8240

Allena , R and Maini, P K (2014) Reaction-diffusion finite element model of lateral line primordium migration to explore cell leadership. Bulletin of Mathematical Biology, 76 (12). pp. 3028-3050.

Aragón, J. L. and Barrio, R. A. and Woolley, T. E. and Baker, R. E. and Maini, P. K. (2012) Nonlinear effects on Turing patterns: time oscillations and chaos. Physical Review E, 86 (2). 026201-1. ISSN 1063-651X

Aragón, J. L. and Naumis, G. G. and Bai, M. and Torres, M. and Maini, P. K. (2008) Turbulent luminance in impassioned van Gogh paintings. Journal of Mathematical Imaging and Vision, 30 (3). pp. 275-283.

Aragón, J. L. and Torres, M. and Gil, D. and Barrio, R. A. and Maini, P. K. (2002) How to generate pentagonal symmetry using Turing systems. Physical Review E, 65 (5). 051913-1-051913-9.

Aragón, J. L. and Varea, C. and Barrio, R. A. and Maini, P. K. (1998) Spatial patterning in modified Turing systems: Application to pigmentation patterns on marine fish. FORMA, 13 (3). pp. 213-221. ISSN 0911-6036

B

Bai, F and Branch, R W and Nicolau jr, D. V. and Pilizota, T and Steele, B C and Maini, P. K. and Berry, R M (0210) Conformational spread as a mechanism for cooperativity in the bacterial flagellar switch. Science, 327 (5966). pp. 685-689.

Baker, R. E. and Simpson, M J Correcting mean-field approximations for birth-death-movement processes. Physical Review E, 82 (4). 041905. ISSN 1063-651X

Baker, R. E. and Simpson, M J (2012) Models of collective cell motion for cell populations with different aspect ratio: diffusion, proliferation & travelling waves. Physica A, 391 (14). pp. 3729-3750.

Baker, Ruth E. (2005) Periodic pattern formation in developmental biology: a study of the mechanisms underlying somitogenesis. PhD thesis, University of Oxford.

Baker, Ruth E. and Gaffney, E. A. and Maini, P. K. (2008) Partial differential equations for self-organization in cellular and developmental biology. Nonlinearity, 21 (11). R251-R290.

Baker, Ruth E. and Maini, P. K. (2007) A mechanism for morphogen-controlled domain growth. Journal of Mathematical Biology, 54 (5). pp. 597-622.

Baker, Ruth E. and Maini, P. K. (2007) Travelling gradients in interacting morphogen systems. Mathematical Biosciences, 209 (1). pp. 30-50.

Baker, Ruth E. and Schnell, S. and Maini, P. K. (2006) A clock and wavefront mechanism for somite formation. Developmental Biology, 293 (1). pp. 116-126.

Baker, Ruth E. and Schnell, S. and Maini, P. K. (2003) Formation of vertebral precursors: Past models and future predictions. Journal of Theoretical Medicine, 5 (1). pp. 23-35.

Baker, Ruth E. and Schnell, S. and Maini, P. K. (2007) A mathematical basis for the clock and wavefront model for somitogenesis. Developmental Biology, 306 . p. 400.

Baker, Ruth E. and Schnell, S. and Maini, P. K. (2006) A mathematical investigation of a clock and wavefront model for somitogenesis. Journal of Mathematical Biology, 52 (4). pp. 458-482.

Baker, Ruth E. and Schnell, S. and Maini, P. K. (2007) Mathematical models for somite formation. Current Topics in Developmental Biology, 81 (1). pp. 183-203.

Baker, Ruth E. and Schnell, S. and Maini, P. K. (2009) Waves and patterning in developmental biology: vertebrate segmentation and feather bud formation as case studies. International Journal of Developmental Biology, 53 (5/6). pp. 783-794.

Baker, Ruth E. and Yates, C. A. and Erban, R. (2010) From Microscopic to Macroscopic Descriptions of Cell Migration on Growing Domains. Bulletin of Mathematical Biology . ISSN 0092-8240 (In Press)

Bampfylde, C. J. (1999) Modelling rainforests. Masters thesis, University of Oxford.

Bampfylde, C. J. and Brown, N. D. and Gavaghan, D. J. and Maini, P. K. (2006) Achieving coexistence - Comment on "Modelling rain forest diversity:The role of competition by Bampfylde et al. (2005). Ecological Modelling, 195 (3-4). pp. 407-408.

Bampfylde, C. J. and Brown, N. D. and Gavaghan, D. J. and Maini, P. K. (2001) Explaining rain forest diversity. Journal of Agricultural Science Cambridge, 137 (1). pp. 115-116.

Bampfylde, C. J. and Brown, N. D. and Gavaghan, D. J. and Maini, P. K. (2005) Modelling rain forest diversity: the role of competition. Ecological Modelling, 188 (2-3). pp. 253-278.

Bampfylde, C. J. and Brown, N. D. and Gavaghan, D. J. and Maini, P. K. (2004) The role of small-scale spatial interactions on the coexistence of rain forest species: using neighbourhood techniques and simulation models. Journal of Agricultural Science Camb, 142 (2). p. 245.

Band, L. R. and Cummings, L. J. and Waters, S. L. and Wattis, J A D (2009) Modelling crystal aggregation and deposition
in the catheterised lower urinary tract.
Mathematical Biology .

Barrass, I. and Crampin, E. J. and Maini, P. K. (2006) Mode transitions in a model reaction-diffusion system driven by domain growth and noise. Bulletin of Mathematical Biology, 68 (5). pp. 981-995.

Barrio, R. A. and Baker, Ruth E. and Vaughan, JR., B. and Tribuzy, K. and de Carvalho, M. R. and Bassanezi, R. and Maini, P. K. (2009) Modeling the skin pattern of fishes. Physical Review E, 79 (3). 031908-1-031908-11.

Barrio, R. A. and Maini, P. K. and Aragón, J. L. and Torres, M. (2002) Size dependent symmetry breaking in models for morphogenesis. Physica D, 168-169 (1). pp. 61-72.

Barrio, R. A. and Varea, C. and Aragón, J. L. and Maini, P. K. (1999) A two-dimensional numerical study of spatial pattern formation in interacting Turing systems. Bulletin of Mathematical Biology, 61 (3). pp. 483-505.

Barrio, R. A. and Zhang, L. and Maini, P. K. (1997) Hierarchically coupled ultradian oscillators generating robust circadian rhythms. Bulletin of Mathematical Biology, 59 (3). pp. 517-532.

Barry Cooper, S and Maini, P. K. (2012) The mathematics of nature at the Alan Turing centenary. Interface Focus, 2 . pp. 393-396.

Basanta, D and Scott, J G and Fishman, M N and Ayala, G and Hayward, S W and Anderson, A R A (2012) Investigating prostate cancer tumour-stroma interactions - clinical and biological insights from an evolutionary game. British Journal of Cancer, 106 (1). pp. 174-181. ISSN 0007-0920

Bassett, D S and Porter, M A and Wymbs, N F and Grafton, S T and Carlson, J M and Mucha, P J (2013) Robust detection of dynamic community structure in networks. Chaos, 23 (1). 013142.

Bassett, D S and Wymbs, N F and Porter, M A and Dawkins, M S (2014) Cross-linked structure of network evolution. Chaos, 24 (1). 013112.

Bassett, D S and Wymbs, N F and Porter, M A and Mucha, P J and Carlson, J M and Grafton , S T (2011) Dynamic reconfiguration of human brain networks during learning. Proceedings of the National Academy of Sciences of the USA, 118 (18). pp. 7641-7646.

Bassett, D S and Wymbs, N F and Rombach, M P and Porter, M A and Mucha, P J and Grafton, S T (2013) Task-based core-periphery organization of human brain dynamics. PLOS Computational Biology, 9 (9). e1003171.

Bell, C. G. and Breward, C. J. W. and Howell, P. D. and Penfold, J. and Thomas, R. K. (2007) Macroscopic modelling of the surface tension of polymer-surfactant systems. Langmuir . (In Press)

Bellomo, N. and Li, N. K. and Maini, P. K. (2008) On the foundations of cancer modelling: selected topics, speculations, & perspectives. Mathematical Models and Methods in Applied Sciences, 18 (4). pp. 593-646.

Bellomo, N. and Maini, P. K. (2006) Preface. Mathematical Models and Methods in Applied Sciences, 16 (7S). iii-vii.

Bellomo, N. and Maini, P. K. (2005) Preface. Mathematical Models and Methods in Applied Sciences, 15 (11). iii-viii.

Bellomo, N. and Maini, P. K. (2007) Preface. Mathematical Models and Methods, 17 (1S). pp. 1641-1645.

Belmonte-Beitia, J and Woolley, T. E. and Scott, J G and Maini, P. K. and Gaffney, E. A. (2013) Modelling biological invasions: individual to population scales at interfaces. Journal of Theoretical Biology, 334 . pp. 1-12.

Benazeraf, B and Francois, P and Baker, R. E. and Little, C D and Pourquie, O L (2010) A random cell motility gradient downstream of FGF controls elongation of amniote embryos. Nature, 466 (7303). pp. 248-252.

Benson, D. L. and Maini, P. K. and Sherratt, J. A. (1993) Analysis of pattern formation in reaction diffusion models with spatially inhomogeneous diffusion coefficients. Mathematical and Computer Modelling, 17 (12). pp. 29-34.

Benson, D. L. and Maini, P. K. and Sherratt, J. A. (1993) Pattern formation in heterogeneous domains. In: Experimental and Theoretical Advances in Biological Pattern Formation. n/a, n/a (n/a). Plenum Press, New York, USA, pp. 29-32.

Benson, D. L. and Maini, P. K. and Sherratt, J. A. (1998) Unravelling the Turing bifurcation using spatially varying diffusion coefficients. Journal of Mathematical Biology, 37 (5). pp. 381-417.

Benson, D. L. and Sherratt, J. A. and Maini, P. K. (1993) Diffusion driven instability in an inhomogeneous domain. Bulletin of Mathematical Biology, 55 (2). pp. 365-384.

Betteridge, R. and Owen, M. R. and Byrne, H. M. and Alarcon, T. and Maini, P. K. (2006) The impact of cell crowding and active cell movement on vascular tumour growth. Networks and Heterogeneous Media, 1 (4). pp. 515-535.

Bloch, K and Smith, H and van Hamel Parsons, V and Gavaghan, D. J. and Kelly, C and Fletcher, A G and Maini, P. K. and Callaghan, R (2014) Metabolic alterations during the growth of tumour spheroids. Cell Biochemistry and Biophysics, 68 (3). pp. 615-628.

Boston, E A J and Gaffney, E. A. (2011) The influence of toxicity constraints in models of chemotherapeutic protocol escalation. Mathematical Medicine & Biology, 28 (4). pp. 357-384.

Bowden, L and Simpson, M J and Baker, R. E. (2013) Design and interpretation of cell trajectory assays. Journal of the Royal Society Interface, 10 (88). pp. 1742-1755.

Bowden, L G and Maini, P K and Moulton, D E and Tang, J B and Wang, X T and Liu, P Y and Byrne, H M (2014) An ordinary differential equation model for full thickness wounds and the effects of diabetes. Journal of Theoretical Biology, 361 (1). pp. 87-100.

Breward, C. J. W. and Byrne, H. M. and Lewis, C. E. (2003) A multiphase model describing vascular tumour growth. Bulletin of Mathematical Biology, 65 . pp. 609-640.

Breward, C. J. W. and Byrne, H. M. and Lewis, C. E. (2002) The role of cell-cell interactions in a two-phase model for avascular tumour growth. Journal of Mathematical Biology, 45 (2). pp. 125-152.

Bron, A J and Gaffney, E. A. and Tiffany , J M and Yokoi, N (2011) A solute gradient in the tear meniscus I. A hypothesis to explain Marx's line. The Ocular Surface, 9 (2). pp. 70-91.

Bron, A J and Yokoi, N and Gaffney, E. A. and Tiffany , J M (2009) Predicted phenotypes of dry eye - proposed consequences of its natural history. The Ocular Surface, 7 (2). pp. 78-92.

Bron, A J and Yokoi, N and Gaffney, E. A. and Tiffany , J M (2011) A solute gradient in the tear meniscus II. implications for lid margin disease, including meibomian gland dysfunction. The Ocular Surface, 9 (2). pp. 92-97.

Brook, B S and Waters, S. L. (2008) Mathematical challenges in integrative physiology. J. Math. Biol. .

Burke, M. A. and Maini, P. K. and Murray, J. D. (1990) On the kinetics of suicide substrates. Biophysical Chemistry, 37 (1-3). pp. 81-90.

Burke, M. A. and Maini, P. K. and Murray, J. D. (1993) Suicide substrate reaction-diffusion equations: varying the source. Journal of Mathematics Applied Medicine & Biology, 10 (2). pp. 97-114.

Byrne, H. M. and Alarcon, T. and Maini, P. K. (2005) Cancer modelling: Getting to the heart of the problem. Journal of Physiology, 561P, SA9 . 4P.

Byrne, H. M. and Alarcon, T. and Owen, M. R. and Webb, S. D. and Maini, P. K. (2006) Modelling aspects of cancer dynamics: a review. Philosophical Transactions of the Royal Society A, 364 (1843). pp. 1563-1578.

Byrne, H. M. and Owen, M. R. and Alarcon, T. and Maini, P. K. (2006) Cancer disease: integrative modelling approaches. 3rd IEEE International Symposium on Biomedical Imaging (1). pp. 806-809.

Byrne, H. M. and Owen, M. R. and Alarcon, T. and Murphy, J. and Maini, P. K. (2006) Modelling the response of vascular tumours to chemotherapy: A multiscale approach. Mathematical Models and Methods in Applied Sciences, 16 (7S). pp. 1219-1241.

Byrne, H. M. and van Leeuwen, I. M. M. and Owen, M. R. and Alarcon, T. and Maini, P. K. (2008) Multiscale modelling of solid tumour growth. In: Selected Topics in Cancer Modeling. Genesis, Evolution, Immune Competition, & Therapy, n/a (n/a). Birkhauser, Boston, USA, pp. 449-473. ISBN 978-0-8176-4712-4

C

Carvalho, G D and Miranda, J A and Gadelha, H (2013) Interfacial elastic fingering in Hele-Shaw cells: a weakly nonlinear study. Physical Review E, 88 (5). 053006.

Casati, B. (2000) Sampling the sensitivity of climate models. Masters thesis, University of Oxford.

Chang, C. and Wu, P. and Baker, Ruth E. and Maini, P. K. and Alibardi, L. and Chuong, C. M. (2009) Reptile scale paradigm: Evo-Devo, pattern formation and regeneration. International Journal of Developmental Biology, 53 (5/6). pp. 813-826.

Chaplain, M. A. J. and Benson, D. L. and Maini, P. K. (1994) Nonlinear diffusion of a growth inhibitory factor in multicell spheriods. Mathematical Biosciences, 121 (1). pp. 1-13.

Chapman, S. J. Derivation of the bidomain equations for a beating heart with a general microstructure. SIAM Journal of Applied Mathematics . ISSN 0036-1399 (Submitted)

Chernova, A. A. and Armitage, J. P. and Maini, P. K. (2003) Response kinetics of tethered bacteria to stepwise changes in nutrient concentration. BioSystems, 1-2 (71). pp. 51-59.

Chirat, R. and Moulton, D. E. and Goriely, A. (2013) Mechanical basis of morphogenesis and convergent evolution of spiny seashells. Proceedings of the National Academy of Sciences, 110 (15). pp. 6015-6020. ISSN 1091-6490

Cho, S W and Kwak, S W and Woolley, T. E. and Lee, M J and Kim, E J and Baker, R. E. and Kim, H J and Shin, J S and Tickle, C and Maini, P. K. and Jung, H S (2011) Interactions between Shh, Sostdc1 and Wnt signaling and a new feedback loop for spatial patterning of the teeth. Development , 138 (9). pp. 1807-1816.

Chuong, C. M. and Dhouailly, D. and Gilmore, S. and Forest, L. and Shelly, W. B. and Stenn, K. S. and Maini, P. K. and Michon, F. and Parimoo, S. and Cadau, S. and Demongeot, J. and Zheng, Y. and Paus, R. and Happle, R. (2006) What is the biological basis of pattern formation of skin lesions? Experimental Dermatology, 15 (7). pp. 547-564.

Clavez, V. and Korobeinikov, A. and Maini, P. K. (2005) Cluster formation for multi-strain infections with cross-immunity. Journal of Theoretical Biology, 233 (1). pp. 75-83.

Coleman, K. D. and Fowler, A. C. (1984) A mathematical model of exoprotein production in bacteria. IMA J. Math. Appl. Med. Biol., 1 . pp. 77-94.

Colijn, Caroline and Fowler, A. C. and Mackey, Michael C. (2006) High frequency spikes in long period blood cell oscillations. J. Math. Biol., 53 . pp. 499-519.

Collier, J. R. and McInerney, D. and Schnell, S. and Maini, P. K. and Gavaghan, D. J. and Houston, P. and Stern, C. D. (2000) A cell cycle model for somitogenesis: mathematical formulation and numerical simulation. Journal of Theoretical Biology, 207 (3). pp. 305-316.

Collier, J. R. and Monk, N. A. M. and Maini, P. K. and Lewis, J. H. (1996) Pattern formation by lateral inhibition with feedback: a mathematical model of Delta-Notch intercellular signalling. Journal of Theoretical Biology, 183 (4). pp. 429-446.

Collins-Hooper, H. and Woolley, T. E. and Dyson, L and Patel, A. and Potter, P. and Baker, R. E. and Gaffney, E. A. and Maini, P. K. and Dash, P. R. and Patel, K. (2012) Age-related changes in speed & mechanism of adult skeletal muscle stem cell migration. Stem Cells, 30 (6). pp. 1182-1195.

Cominetti, Ornella and Matzavinos, Anastasios and Samarasinghe, Sandhya and Kulasiri, Don and Liu, Sijia and Maini, P. K. and Erban, R. (2010) DifFUZZY: A fuzzy clustering algorithm for complex data sets. International Journal of Computational Intelligence in Bioinformatics & Systems Biology, 1 (4). 402-417 .

Connor, A. J. and Cooper, J and Byrne, H. M. and Maini, P. K. and McKeever, S. (2012) Object-oriented paradigms for modelling vascular tumor growth: a case study. In: The Fourth International Conference on Advances in Systems Simulation. Simul 2012 . Iaria, Lisbon, pp. 74-83.

Cook, P. R. and Hieda, M. and Winstanley, H. and Maini, P. K. and Iborra, F. J. (2005) Different populations of RNA polymerase II in living mammalian cells. Chromosome Research, 13 (2). pp. 135-144.

Cotter, S L and Vejchodsky, T. and Erban, R. (2013) Adaptive finite element method assisted by stochastic simulation of chemical systems. Siam Journal on Scientific Computing, 35 (1). B107-B131.

Crampin, E. J. and Gaffney, E. A. and Maini, P. K. (2002) Mode doubling and tripling in reaction-diffusion patterns on growing domains: A piece-wise linear model. Journal of Mathematical Biology, 44 (2). pp. 107-128.

Crampin, E. J. and Gaffney, E. A. and Maini, P. K. (1999) Reaction and diffusion on growing domains: Scenarios for robust pattern formation. Bulletin of Mathematical Biology, 61 (6). pp. 1093-1120.

Crampin, E. J. and Hackborn, W. W. and Maini, P. K. (2002) Pattern formation in reaction-diffusion models with nonuniform growth. Bulletin of Mathematical Biology, 64 (4). pp. 747-769.

Crampin, E. J. and Maini, P. K. (2001) Modelling biological pattern formation: The role of domain growth. Comments in Theoretical Biology, 6 (3). pp. 229-249.

Crampin, E. J. and Maini, P. K. (2001) Reaction-diffusion models for biological pattern formation. Methods and Applications of Analysis, 8 (3). pp. 415-428.

Cropp, R. A. and Norbury, John (2005) Simulating the impacts of climate change on ecosystems: the importance of mortality. In: MODSIM 2005 International Congress on Modelling and Simulation. Modelling and Simulation Society of Australia and New Zealand, pp. 2068-2074. ISBN 0-9758400-2-9

Cropp, R. A. and Norbury, John and Braddock, R. D. (2007) Process-dependence of biogenic feedback effects in models of plankton dynamics. MODSIM 2007: Proceedings of the International Congress on Modelling and Simulation . (Submitted)

Cropp, Roger and Norbury, John (2006) Investigations into a plankton population model: Mortality and its importance in climate change scenarios. Ecological Modelling . (In Press)

Cropp, Roger and Norbury, John and Braddock, Roger D. (2007) Dimethylsulphide, clouds, and phytoplankton: Insights from a simple plankton ecosystem feedback model. Global Biogeochemical Cycles, 21 . ISSN 0886-6236

Cruywagen, G. C. and Maini, P. K. and Murray, J. D. (1994) Bifurcating spatial patterns arising from travelling waves in a tissue interaction model. Applied Mathematics Letters, 7 (3). pp. 63-66.

Cruywagen, G. C. and Maini, P. K. and Murray, J. D. (1997) Biological pattern formation on two-dimensional domains: A nonlinear bifurcation analysis. SIAM Journal of Applied Mathematics, 57 (6). pp. 1485-1509.

Cruywagen, G. C. and Maini, P. K. and Murray, J. D. (2000) An envelope method for analysing sequential pattern formation. SIAM Journal of Applied Mathematics, 61 (1). pp. 213-231.

Cruywagen, G. C. and Maini, P. K. and Murray, J. D. (1993) Sequential and synchronous skin pattern formation. In: Experimental and Theoretical Advances in Biological Pattern Formation. n/a, n/a (n/a). Plenum Press, New York, USA, pp. 61-64.

Cruywagen, G. C. and Maini, P. K. and Murray, J. D. (1992) Sequential pattern formation in a model for skin morphogenesis. IMA Journal Mathematics Applied in Medicine & Biology, 9 (4). pp. 227-248.

Cruywagen, G. C. and Maini, P. K. and Murray, J. D. (1994) Travelling waves in a tissue interaction model for skin pattern formation. Journal of Mathematical Biology, 33 (2). pp. 193-210.

Curtis , M P and Gaffney, E A (2013) The three sphere swimmer in a nonlinear viscoelastic medium. Physical Review E, 87 (4). 043006.

D

Dale, P. D. and Maini, P. K. and Sherratt, J. A. (1994) Mathematical modelling of corneal epithelium wound healing. Mathematical Biosciences, 124 (2). pp. 127-147.

Dale, P. D. and Olsen, L. and Maini, P. K. and Sherratt, J. A. (1995) Travelling waves in wound healing. FORMA, 10 (3). pp. 205-222.

Dale, P. D. and Sherratt, J. A. and Maini, P. K. (1995) Corneal epithelial wound healing. Journal of Biological Systems, 3 (4). pp. 957-965.

Dale, P. D. and Sherratt, J. A. and Maini, P. K. (1996) A mathematical model for collagen fibre formation during foetal and adult dermal wound healing. Proceedings of the Royal Society London B, 263 (1370). pp. 653-660. ISSN 0962-8452 (Paper) 1471-2954

Dale, P. D. and Sherratt, J. A. and Maini, P. K. (1997) The role of fibroblast migration in collagen fibre formation during foetal and adult dermal wound healing. Bulletin of Mathematical Biology, 59 (6). pp. 1077-1100.

Dale, P. D. and Sherratt, J. A. and Maini, P. K. (1994) The speed of corneal epithelial wound healing. Applied Mathematics Letters, 7 (2). pp. 11-14.

Dallon, J. C. and Othmer, H. G. and Van Oss, C. and Panfilov, A. and Hogeweg, P. and Hofer, T. and Maini, P. K. (1997) Models of Dictyostelium discoideum aggregation. In: Dynamics of Cell and Tissue Motion. n/a (n/a). Birkhauser Verlag, Basel, pp. 193-202.

Dallon, J. C. and Sherratt, J. A. and Maini, P. K. (1999) Mathematical modelling of extracellular matrix dynamics using discrete cells: Fiber orientation and tissue regeneration. Journal of Theoretical Biology, 199 (4). pp. 449-471.

Dallon, J. C. and Sherratt, J. A. and Maini, P. K. and Ferguson, M. (2000) Biological implications of a discrete mathematical model for collagen deposition and alignment in dermal wound repair. IMA Journal of Mathematics Applied in Medicine & Biology, 17 (4). pp. 379-393.

Dallon, J. C. and Sherratt, J. A. and Maini, P. K. (2001) Modelling the effects of Transforming Growth Factor-β on extracellular matrix alignment in dermal wound repair. Wound Repair and Regeneration, 9 (4). pp. 278-286.

Daugherty, D and Roque-Urrea, T and Urrea-Roque, J and Troyer, J and Wirkus, S and Porter, M A (2009) Mathematical models of bipolar disorder. Communications in Nonlinear Science and Numerical Simulations, 14 (7). pp. 2897-2908.

De Young, G. and Maini, P. K. and Nakamaye, M. (1991) Analysis of a risk based model for the growth of AIDS infection. Mathematical Biosciences, 106 (1). pp. 129-150.

Denman, P. K. and McElwain, D. L. S. and Norbury, John (2006) Analysis of travelling waves associated with the modelling of aerosolised skin grafts. Bulletin of Mathematical Biology . (In Press)

Di Garbo , A and Johnston, M. D. and Chapman, S. J. and Maini, P. K. (2010) Variable renewal rate and growth properties of cell populations in colon crypt. Physical Review E, 81 (6). 061909 (12 pages). ISSN 1063-651X

Di Garbo , A and Johnston, M. D. and Chapman, S. J. and Maini, P. K. (2010) Variable renewal rate and growth properties of cell populations in colon crypts. Physics Review E, 81 (6). 061909-1.

Dillon, R. and Maini, P. K. and Othmer, H. G. (1994) Pattern formation in generalised Turing systems: I. Steady-state patterns in systems with mixed boundary conditions. Journal of Mathematical Biology, 32 (4). pp. 345-393.

Drasdo, D and Fell, D and Ferrell, J and Gallahan, D and Gatenby, R. A. and Guenther, U and Herzel, H. and Junghanss, C and Kunz, M and Laplace, F and van Leeuwen, I. M. M. and Lenormand, P and Levi, F and Linnebacher, M and Lowengrub, J and Maini, P. K. and Marcus, F and Malik, A and Rateitschak, K and Sansom, O and Schafer, R and Schurrle, K and Sers, C and Schnell, S. and Harms, B and Shibata, D and Tyson, J and Vera, J and White, M and Zhivotovsky, B and Jaster, R and Wolkenhauer, O and Auffray, C and Baltrusch, S and Bluthgen, N and Byrne, H. M. and Cascante, M and Ciliberto, A and Dale, T (2010) Systems biologists seek fuller integration of systems biology approaches in new cancer research programs. Cancer Research, 70 (1). pp. 12-13.

Drobnjak, Ivana and Fowler, A. C. and Mackey, Michael C. (2006) Oscillations in a maturation model of blood cell production. SIAM J. Appl. Math., 66 (6). pp. 2027-2048.

Dunn, S J and Fletcher, A G and Chapman, S. J. and Gavaghan, D. J. and Osborne, J. M. (2012) Modelling the role of the basement membrane beneath a growing epithelial monolayer. Journal of Theoretical Biology, 298 (1). pp. 82-91.

Durringer, Clement and Hauser, Raphael and Matzinger, Heinrich (2006) Approximation to the mean curve in the LCS problem. Technical Report. Unspecified. (Submitted)

Dyson, L and Maini, P. K. and Baker, R. E. (2012) Macroscopic limits of individual-based models for motile cell populations with volume exclusion. Physical Review E, 86 (3). 031903-1-031903-5.

E

Egginton, S and Gaffney, E. A. (2010) Tissue capillary supply - it's quality not quantity that counts! Experimental Physiology, 95 (8). pp. 971-979.

Erban, R. and Chapman, S. J. (2007) Time scale of random sequential adsorption. Physical Review E, 75 (4). 041116-041120. ISSN 1539-3755

Erban, R. and Chapman, S. J. and Fisher, K D and Kevrekidis, I. G. and Seymour, L W (2007) Dynamics of polydisperse irreversible adsorption: a pharmacological example. Mathematical Models and Methods in Applied Sciences, 17 (5). pp. 759-781.

Erban, Radek and Chapman, S. J. (2007) Reactive boundary conditions for stochastic simulations of reaction-diffusion processes. Physical Biology, 4 (1). pp. 16-28. ISSN 1478-3975

Escudero, C. and Yates, C. A. and Buhl, J. and Couzin, I. D. and Erban, R. and Kevrekidis, I. G. (2010) Ergodic directional switching in mobile insect groups. Physical Review E, 82 (1). 011926 (6 pages).

F

Flach, E. H. and Schnell, S. (2006) Use and abuse of the quasi-steady-state approximation. IEE Proceedings Systems Biology, 153 (4). pp. 187-191.

Flegg, M. B. and Rudiger, S and Erban, R. (2013) Diffusive spatio-temporal noise in a first-passage time model for intracellular calcium release. Journal of Chemical Physics, 138 (15). p. 154103.

Fletcher, A G and Breward, C. J. W. and Chapman, S. J. (2012) Mathematical modeling of monoclonal conversion in the colonic crypt. Journal of Theoretical Biology, 300 (1). pp. 118-133.

Fletcher, A G and Osborne, J. M. and Maini, P. K. and Gavaghan, D. J. (2013) Implementing vertex dynamics models of cell populations in biology within a consistent computational framework. Progress in Biophysics and Molecular Biology, 113 . pp. 299-326.

Fowler, A. C. (1981) Approximate solution of a model of biological immune responses incorporating delay. J. Math. Biol., 13 . pp. 23-45.

Fowler, A. C. (1977) Convective diffusion of an enzyme reaction. SIAM J. Appl. Math., 33 . pp. 289-297.

Fowler, A. C. and Kalamangalam, G. P. (2003) Periodic breathing at high altitude. IMA J. Appl. Math. Med. Biol., 19 (4). pp. 293-313.

Fowler, A. C. and Kalamangalam, G. P. (2002) Periodic breathing at high altitude. IMA J. Appl. Math. Med. Biol., 19 . pp. 293-313.

Fowler, A. C. and Kalamangalam, G. P. (2000) The role of the central chemoreceptor in causing periodic breathing. IMA J. Appl. Math. Med. Biol., 17 . pp. 147-167.

Fowler, A. C. and Mackey, M. C. (2002) Relaxation oscillations in a class of delay-differential equations. SIAM J. Appl. Math., 63 (1). pp. 299-323.

Fowler, A. C. and McGuinness, M. J. (2005) A delay recruitment model of the cardiovascular control system. J. Math. Biol., 51 (5). pp. 508-526.

Franz, B. and Flegg, M. B. and Chapman, S. J. and Erban, R. (2013) Multiscale reaction-diffusiion algorithms: PDE-assisted Brownian dynamics. SIAM Journal of Applied Mathematics, 73 (3). pp. 1224-1247.

Frenzen, C. L. and Maini, P. K. (1988) Enzyme kinetics for a two-step enzymic reaction with comparable initial enzyme-substrate ratios. Journal of Mathematical Biology, 26 (6). pp. 689-703.

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Gadelha, H (2013) On the optimal shape of magnetic swimmers. Regular and Chaotic Dynamics, 18 (1-2). pp. 75-84.

Gadelha, H and Gaffney, E. A. and Goriely, A. (2013) The counterbend phenomenon in flagellar axonemes and cross-linked filament bundles. PNAS, 110 (30). pp. 12180-12185.

Gadelha, H and Gaffney, E. A. and Smith, D J and Kirkman-Brown, J C (2010) Nonlinear instability in flagellar dynamics: a notel modulation mechanism in sperm migration. Journal of the Royal Society Interface, 7 (6). pp. 1689-1697.

Gaffney, E. A. and Gadelha, H and Smith, D J and Blake, J R and Kirkman-Brown, J C (2011) Mammalian Sperm Motility: Observation and Theory. Annual Review of Fluid Mechanics, 43 (2). pp. 501-528.

Gaffney, E. A. and Heath, J K and Kwiatkowska, M Z (2008) A mass action model of a fibroblast growth factor signaling pathway and its simplification. Bulletin of Mathematical Biology, 70 (8). pp. 2229-2263. ISSN n/a

Gaffney, E. A. and Maini, P. K. and McCaig, C. D. and Zhao, M. and Forrester, J. V. (1999) Modelling corneal epithelial wound closure in the presence of physiological electric fields via a moving boundary formalism. IMA Journal of Mathematics Applied in Medicine and Biology, 16 (4). pp. 369-393.

Gaffney, E. A. and Maini, P. K. and Sherratt, J. A. and Dale, P. D. (1997) Wound healing in the corneal epithelium: biological mechanisms and mathematical models. Journal of Theoretical Medicine, 1 (1). pp. 13-23.

Gaffney, E. A. and Maini, P. K. and Sherratt, J. A. and Tuft, S. (1999) The mathematical modelling of cell kinetics in corneal epithelial wound healing. Journal of Theoretical Biology, 197 . pp. 15-40.

Gaffney, E. A. and Monk, N. A. M. (2006) Gene expression time delays & Turing pattern formation systems. Bulletin of Mathematical Biology, 68 (1). pp. 99-130.

Gaffney, E. A. and Pugh, K. and Maini, P. K. and Arnold, F. (2002) Investigating a simple model of cutaneous wound healing angiogenesis. Journal of Mathematical Biology, 45 (4). pp. 337-374.

Gaffney, E. A. and Tiffany , J M and Yokoi, N and Bron, A J (2010) A mass and solute balance model for tear volume & osmolarity in the normal and the dry eye. Progress in Retinal & Eye Research, 29 (1). pp. 59-78.

Garcia-Ramos, G. and Sánchez-Garduño, F. and Maini, P. K. (2000) Dispersal can sharpen parapatric boundaries on a spatially varying environment. Ecology, 81 (3). pp. 749-760.

Garcia-Ramos, G. and Sánchez-Garduño, F. and Maini, P. K. (1996) Spatial dynamics in speciation. Journal of Agricultural Science Cambridge, 127 . p. 132.

Garvie, M R and Maini, P. K. and Trenchea, C (2010) An efficient and robust numerical algorithm for estimating parameters in turing systems. Journal of Computational Physics, 229 (19). 7058-7071.

Gatenby, R. A. and Maini, P. K. (2003) Mathematical oncology: Cancer summed up [Concepts article]. Nature, 421 (6921). p. 321.

Gatenby, R. A. and Maini, P. K. (2002) Modelling a new angle on understanding cancer. Nature, 420 . p. 462.

Gatenby, R. A. and Maini, P. K. and Gawlinski, E. T. (2002) Analysis of tumor as an inverse problem provides a novel theoretical framework for understanding tumor biology and therapy. Applied Mathematics Letters, 15 (3). pp. 339-345.

Gatenby, R. A. and Smallbone, K. and Maini, P. K. and Rose, F. and Averill, J. and Nagle, R. B. and Worrall, L. and Gillies, R. J. (2007) Cellular adaptations to hypoxia and acidosis during somatic evolution of breast cancer. British Journal of Cancer, 97 (5). pp. 646-653. ISSN 0007-0920

Gavaghan, D. J. and Brady, J. M. and Behrenbruch, C. P. and Highnam, R. P. and Maini, P. K. (2002) Breast Cancer: Modelling and Detection. Journal of Theoretical Medicine, 4 (1). pp. 3-20.

Gavaghan, D. J. and Garny, A. and Maini, P. K. and Kohl, P. (2006) Mathematical models in physiology. Philosophical Transactions of the Royal Society A, 364 (1842). pp. 1099-1106.

Gilmore, S J and Vaughan, B J and Madzvamuse, A. and Maini, P. K. (2012) A mechanochemical model of striae distensae. Mathematical Biosciences, 240 (2). pp. 141-147.

Gilmour, I. (1995) Coupled fluctuations of blood pressure and heart rate time series. Masters thesis, University of Oxford.

Goldwasser, L. and Maini, P. K. and Murray, J. D. (1989) Splitting of cell clusters and bifurcation of bryozoan branches. Journal of Theoretical Biology, 137 (3). pp. 271-279.

Green, J E F and Waters, S. L. and Shakesheff, K M and Byrne, H. M. (2009) A Mathematical Model of Liver Cell Aggregation In Vitro. Bulletin of Mathematical Biology .

Guerreiro-Lucas, Luciano A and Pop, S Rares and Machado, Maria J C and Ma, Ying Liang and Waters, Sarah L and Richardson, Giles and Saetzler, Kurt and Jensen, Oliver E and Mitchell, Christopher A (2008) Experimental and theoretical modelling of blind-ended vessels within a developing angiogenic plexus. Microvascular Research .

H

Hajek, D. and Kolar, P. and Maini, P. K. and Starha, P. (2005) Extracellular volume regulation and growth. Medical Hypotheses, 64 (2). pp. 303-306.

Hall, R. (2000) A mathematical model for longitudinal bone growth. Masters thesis, University of Oxford.

Hamadeh, A. and August, E. and Roberts, M and Maini, P K and Armitage, J P and Ingalls, B and Papachristodoulou, A. (2011) Feedback control architecture of the R. sphaeroides
chemotaxis network.
In: 50th IEEE Conference on Decision and Control and European Control Conference, 12th-15th December 2011, Orlando Florida.

Hamadeh, A. and Roberts, M.A.J. and August, E. and McSharry, P. E. and Maini, P. K. and Armitage, J. P. (2011) Feedback control architecture & the bacterial chemotaxis network. PLOS Computational Biology , 7 (5). 15 pages.

Hauser, Raphael and Martinez, Servet and Matzinger, Heinrich (2003) Large deviation based upper bounds for the LCS-problem. Technical Report. Unspecified. (Submitted)

Hauser, Raphael and Matzinger, Heinrich (2013) Letter Change Bias and Local Uniqueness in Optimal Sequence Alignments. Technical Report. Unspecified.

Heaton, L L M and Lopez, E and Maini, P. K. and Fricker, M D and Jones, N S (2012) Advection, diffusion, and delivery over a network. Physical Review E, 86 (2). 021905-1-021905-10.

Heaton, L L M and Lopez, E and Maini, P. K. and Fricker, M D and Jones, N S (2010) Growth-induced mass flows in fungal networks. Proceedings of the Royal Society B , 277 (1698). pp. 3265-3274.

Hinch, R. and Chapman, S. J. (2005) Exponentially slow transitions on a Markov chain: the frequency of Calcium Sparks. European Journal of Applied Mathematics, 16 (4). pp. 427-446. ISSN 0956-7925

Hofer, T. and Maini, P. K. (1996) Aggregation territory formation and cell streaming in a model of the cellular slime mould Dictyostelium discoideum. ZAMM Z. angew. Journal of Applied Mathematics & Mechanics, 76 (4). pp. 225-228.

Hofer, T. and Maini, P. K. (1996) Interplay of cell-cell signalling and multicellular morphogenesis during Dictyostelium aggregation. In: In Computation in Cellular and Molecular Biological Systems. n/a, n/a (n/a). World Scientific, London, UK, pp. 15-28. ISBN n/a

Hofer, T. and Maini, P. K. (1997) Streaming instability of slime mold amoebae: An analytical model. Physical Review E, 56 (2). pp. 2074-2080.

Hofer, T. and Maini, P. K. (1996) Turing patterns in fish skin? Nature, 380 (6576). p. 678.

Hofer, T. and Maini, P. K. and Sherratt, J. A. (1994) A mathematical model for chemotactic movement and aggregation in cellular slime moulds. Journal of Agricultural Science Cambridge, 123 . pp. 150-151.

Hofer, T. and Maini, P. K. and Sherratt, J. A. and Chaplain, M. A. J. and Chauvet, P. and Metevier, D. and Montes, P. C. and Murray, J. D. (1994) A resolution of the chemotactic wave paradox. Applied Mathematics Letters, 7 (2). pp. 1-5.

Hofer, T. and Maini, P. K. and Sherratt, J. A. and Chaplain, M. A. J. and Murray, J. D. (1995) Resolving the chemotactic wave paradox: A mathematical model for chemotaxis of Dictyostelium amoebae. Journal of Biological Systems, 3 (4). pp. 967-973.

Hofer, T. and Maini, P. K. and Sherratt, J. A. and Chaplain, M. A. J. and Murray, J. D. (1995) Resolving the chemotactic wave paradox: A mathematical model for chemotaxis of Dictyostelium amoebae. Journal of Biological Systems, 3 (4). pp. 967-973.

Hofer, T. and Sherratt, J. A. and Maini, P. K. (1995) Cellular pattern formation during Dictyostelium aggregation. Physica D, 85 (3). pp. 425-444.

Hofer, T. and Sherratt, J. A. and Maini, P. K. (1995) Dictyostelium discoideum: Cellular self-organisation in an excitable medium. Proceedings of the Royal Society London B, 259 (1356). pp. 249-257. ISSN 0962-8452

Hollingsworth, T. D. (1999) Modelling rhizomania in sugar beet. Masters thesis, University of Oxford.

I

Iber, D. (2001) Modelling affinity maturation in the immune system. Masters thesis, University of Oxford.

Iber, D. and Gruhn, T. and Maini, P. K. and Lipowsky, R. (2005) B cell activation and affinity discrimination by receptor segregation? Immunobiology, 210 (6-8). p. 539.

Iber, D. and Maini, P. K. (2002) A mathematical model for germinal centre kinetics and affinity maturation. Journal of Theoretical Biology, 219 (2). pp. 153-175.

Ioio, I D and Galinha, C and Fletcher, A G and Grigg, S P and Molnar, A and Willemsen, V and Scheres, B and Maini, P. K. and Tsiantis, M (2012) A PHABULOSA/cytokinin feedback loop controls root growth in arabidopsis. Current Biology, 22 (18). pp. 1699-1704.

Ishimoto, K and Gaffney, E A (2013) Squirmer dynamics near a boundary. Physical Review E, 88 (6). 062702.

J

Johnston, M. D. and Edwards, C. M. and Bodmer, W. F. and Maini, P. K. and Chapman, S. J. (2007) Examples of mathematical modeling tales from the crypt. Cell Cycle, 6 (17). pp. 2106-2112. ISSN 1538-4101

Johnston, M. D. and Edwards, C. M. and Bodmer, W. F. and Maini, P. K. and Chapman, S. J. (2007) Examples of mathematical modeling tales from the crypt. Cell Cycle, 6 (17). pp. 2106-2112. ISSN 1538-4101

Johnston, M. D. and Edwards, C. M. and Bodmer, W. F. and Maini, P. K. and Chapman, S. J. (2007) Mathematical modeling of cell population dynamics in the colonic crypt and in colorectal cancer. Proceedings of the National Academy Science, 104 (10). pp. 4008-4013.

Johnston, M. D. and Edwards, C. M. and Bodmer, W. F. and Maini, P. K. and Chapman, S. J. (2007) Mathematical modeling of cell population dynamics in the colonic crypt and in colorectal cancer. Proceedings of the National Academy of Sciences, 104 (10). pp. 4008-4013. ISSN 1091-6490

Johnston, M. D. and Maini, P. K. and Chapman, S. J. and Edwards, C. M. and Bodmer, W. F. (2010) On the proportion of cancer stem cells in a tumour. Journal of Theoretical Biology , 266 (4). pp. 708-711.

K

Kalamangalam, G. P. (1995) Nonlinear oscillations and chaos in chemical cardiorespiratory control. PhD thesis, University of Oxford.

Kefala, M and Papageorgiou, S G and Kontos , C K and Economopoulou, P and Tsanas, A and Panayiotides, I G and Gorgoulis, V G and Patsouris, E and Foukas, P G (2013) Increased expression of phosphorrylated NBS1, a key molecule of the DNA damage response machinery, is an adverse prognostic factor in patients with de novo myelodysplastic syndromes. Leukemia Research, 37 (11). pp. 1576-1582.

Kelly, S and Kramer, S and Schwede, A and Maini, P. K. and Gull, K and Carrington, M (2012) Genome organization is a major component of gene expression control in response to stress and during the cell division cycle in trypanosomes. Open Biology, 2 . p. 120033.

Kelly, S and Maini, P. K. (2013) DendroBlast: approximate phylogenetic trees in the absence of multiple sequence alignments. Plos One, 8 (3). e58537-(11 pages).

Kelly, S and Wickstead, B and Maini, P. K. and Gull, K (2011) Ab initio identification of novel regulatory elements in the genome of Trypanosma brucei by Bayesioan inference on sequence segmentation. PLOs One, 6 (10). e25666 (11 pages).

Klika, V and Baker, R. E. and Headon, D and Gaffney, E. A. (2012) The influence of receptor-mediated interactions on reaction-diffusion mechanisms of cellular self-organisation. Bulletin of Mathematical Biology, 74 (4). pp. 935-957.

Klingbeil, G. and Erban, R. and Giles, M. B. and Maini, P. K. (2012) Fat versus thin threading approach on GPUs: application to stochastic simulation of chemical reactions. IEEE Transactions on Parallel & Distributed Systems, 23 (2). pp. 280-287.

Klingbeil, G. and Erban, R. and Giles, M. B. and Maini, P. K. (2011) STOCHSIMGPU: parallel stochastic simulation for the sytems biology toolbox 2 for matlab. Bioinformatics, 27 (8). pp. 1170-1171.

Kooner, P. and Maini, P. K. and Gavaghan, D. J. (2006) Mathematical modelling of the HIF-1 mediated hypoxic response in tumours. Proceedings of the 2005 International Symposium on Mathematical & Computational Biology BIOMAT 2005 E-papers Servicos Editoriais Ltda, . pp. 281-315.

Korobeinikov, A. and Maini, P. K. (2004) A Lyapunov function and global properties for SIR and SEIR epidemiological models with nonlinear incidence. Mathematical Biosciences and Engineering, 1 (1). pp. 57-60.

Korobeinikov, A. and Maini, P. K. (2005) Nonlinear incidence and stability of infectious disease models. Mathematical Medicine and Biology, 22 (2). pp. 113-128.

Korobeinikov, A. and Maini, P. K. and Walker, M. J. (2003) Estimation of effective vaccination rate for pertussis in New Zealand as a case study. Journal of Theoretical Biology, 224 (2). pp. 269-275.

Korobeinikov, A. and Maini, P. K. and Walker, W. J. (2008) Non-linear transmission, mortality and stability of discrete-time infectious disease models. In: Mathematical Biology Research Trends. n/a, n/a (n/a). Nova Science Publishers Inc, New York, USA, pp. 237-259. ISBN 978-1-60456-141-8

Kotov, N. V. and Baker, Ruth E. and Platov, K. V. and Valeyev, N. V. and Skorinkin, A. I. and Maini, P. K. (2007) A study of the temperature dependence of bienzyme systems and enzymatic chains. Computational and Mathematical Methods in Medicine, 8 (2). pp. 93-112.

Kulesa, P. M. and Cruywagen, G. C. and Lubkin, S. R. and Maini, P. K. and Sneyd, J. S. and Ferguson, M. W. J. and Murray, J. D. (1996) On a model mechanism for the spatial patterning of teeth primordia in the Alligator. Journal of Theoretical Biology, 180 (4). pp. 287-296.

Kulesa, P. M. and Cruywagen, G. C. and Lubkin, S. R. and Maini, P. K. and Sneyd, J. S. and Murray, J. D. (1995) Modelling the spatial patterning of the primordia in the lower jaw of alligator mississippiensis. Journal of Biological Systems, 3 (4). pp. 975-985.

Kulesa, P. M. and Schnell, S. and Rudloff, S. and Baker, Ruth E. and Maini, P. K. (2007) From segment to somite: segmentation to epithelialization analyzed within quantitative frameworks. Developmental Dynamics, 236 (6). pp. 1392-1402.

Kursawe, J and Schulz, J and Metzler, R (2013) Transient aging in fractional Brownian and Langevin-equation motion. Physical Review E, 88 . 062124.

L

Lai, Y M and Porter, M A (2013) Noise-induced synchronization desychronization and clustering in globally coupled nonidentical oscillators. Physical Review E, 88 (1). 012905.

Lee, S Seirin and Baker, R E and Gaffney, E. A. and White, S M (2013) Optimal barrier zones for stopping the invasion of Aedes aegypti mosquitoes via transgenic or sterile insect techniques. Journal of Theoretical Ecology, 6 (4). pp. 427-442.

Lee, S Seirin and Gaffney, E. A. and Monk, N. A. M. (2010) Aberrant behaviours of reaction diffusion self-organisation models on growing domains in the presence of gene expression time delays. Bulletin of Mathematical Biology, 72 (8). pp. 2139-2160. ISSN 0092-8240

Leeuwen, I M M and Mirams, G R and Walter, A and Fletcher, A and Murray, P J and Osborne, J and Varma, S and Young, S J and Cooper, J and Doyle, B and Pitt-Francis, J and Momtahan, L and Pathmanathan, P. and Whiteley, J. P. and Chapman, S. J. and Gavaghan, D. J. and Jensen, O E and King, J. R. and Maini, P. K. and Waters, S. L. and Byrne, H. M. (2009) An integrative computational model for intestinal tissue renewal. Cell Proliferation .

Lemon, Greg and Howard, Daniel and Tomlinson, Matthew J and Buttery, Lee D and Rose, Felicity R A J and Waters, Sarah L and King, John R (2009) Mathematical modelling of tissue-engineering angiogenesis. Mathematical Biosciences .

Lever, M and Dushek, O and van der Merwe, A and Lim, H-S and Maini, P. K. (2013) Systems biology of T-cell signalling. Immunology, 140 (1). p. 210.

Lever, M and Maini, P. K. and P, Anton van der Merwe and Dushek, O (2014) Phenotypic models of t cell activation. Nature Reviews Immunology, 14 (9). pp. 619-629.

Lewis, A C F and Jones, N S and Porter, M A and Deane, C M (2010) The function of communities in protein interaction networks at multiple scales. BMC Systems Biology, 4 (7). p. 100.

Lewis, A C F and Jones, N S and Porter, M A and Deane, C M (2012) What evidence is there for the homology of protein-protein interactions? PLOS Computational Biology, 8 (9). e1002645.

Lewis, M A and Maini, P. K. and Petrovskii, S V (2013) Preface. In: Lecture Notes in Mathematics: Mathematical Biosciences Subseries, 2071. Springer, ix-xi.

Li, C. and Maini, P. K. (2005) Complex networks generated by the Penna bit-string model: emergence of small-world and assortative mixing. Physical Review E, 72 (4). 045102-1.

Li, C. and Maini, P. K. (2005) An evolving network model with community structure. Journal of Physics A: Mathematical and General, 38 (45). pp. 9741-9749.

Lim, A G and Maini, P. K. (2014) HTLV-1 infection: a dynamic struggle between viral persistence and host immunity. Journal of Theoretical Biology, 352 (1). pp. 92-108.

Lin, C. and Jiang, T. and Baker, Ruth E. and Maini, P. K. and Hughes, M. and Widelitz, R. B. and Chuong, C. (2008) Periodic patterning stem cells and induction of skin appendages: p-ERK-dependent mesenchymal condensation is coupled with Turing mechanism to convert stripes to spots. Journal of Investigative Dermatology, 128 (S1). S156.

Lin, C.M and Jiang, T.X. and Baker, Ruth E. and Maini, P. K. and Widelitz, R. B. and Chunong, C.M. (2009) Spots & stripes: pleomorphic patterning of stem cells via p-ERK-depenendent cell chemotaxis shown by feather morphogenesis & mathematical simulation. Developmental Biology , 334 (2). pp. 369-382.

Liu, R. T. and Liaw, S. S. and Maini, P. K. (2007) Oscillatory Turing Patterns in a Simple Reaction-Diffusion System. Journal of the Korean Physical Society, 50 (1). pp. 234-238.

Liu, R. T. and Liaw, S. S. and Maini, P. K. (2006) Two-stage Turing model for generating pigment patterns on the leopard and the jaguar. Physical Review E, 74 (1). 011914-1-011914-8.

Lloyd-Lewis, B and Fletcher, A G and Dale, T C and Byrne, H M (2013) Toward a quantitative understanding of the Wnt/beta-catenin pathway through simulation and experiment. Wires Systems Biology and Medicine, 5 (4). pp. 391-407.

Lubkin, S. R. and Gullberg, R. G. and Logan, B. K. and Maini, P. K. and Murray, J. D. (1996) Simple vs. sophisticated models of breath alcohol exhalation profiles. Alcohol and Alcoholism, 31 (1). pp. 61-67.

M

Ma, Q and Nicolau jr, D. V. and Maini, P. K. and Berry, R M and Bai, F (2012) Conformational spread in the flagellar motor switch: a model study. PLOS Computational Biology, 8 (5). pp. 1-16.

Maclaren, O J and Sneyd, J. S. and Crampin, E J (2012) Efficiency of primary saliva secretion: an analysis of parameter dependence in dynamic single-cell and acinus models, with application to aquaporin knockout studies. Journal of Membrane Biology, 245 (1). pp. 29-50.

Maclaren, O J and Sneyd, J. S. and Crampin, E J (2013) What do aquaporin knockout studies tell us about fluid transport in epithelia? Journal of Membrane Biology, 246 (4). pp. 297-305.

MacNamara, S and Baker, R. E. and Maini, P. K. (2011) Distinguishing graded & ultrasensitive signalling cascade kinetics by the shape of morphogen gradients in Drosophila. Journal of Theoretical Biology, 285 (1). pp. 136-146.

Madzvamuse, A. and Gaffney, E. A. and Maini, P. K. (2010) Stability analysis of non-autonomous reaction-diffusion systems: the effects of growing domains. Journal of Mathematical Biology, 61 (1). pp. 133-164. ISSN n/a

Madzvamuse, A. and Maini, P. K. (2007) Velocity-induced numerical solutions of reaction-diffusion systems on continuously growing domains. Journal of Computational Physics, 225 (1). pp. 100-119.

Madzvamuse, A. and Maini, P. K. and Wathen, A. J. (2005) A moving grid finite element method for the simulation of pattern generation by Turing models on growing domains. Journal of Scientific Computing, 24 (2). pp. 247-262.

Madzvamuse, A. and Maini, P. K. and Wathen, A. J. and Sekimura, T. (2002) A Predictive Model for Color Pattern Formation in the Butterfly Wing of Papilio dardanus. Technical Report. Unspecified. (Submitted)

Madzvamuse, A. and Maini, P. K. and Wathen, A. J. and Sekimura, T. (2002) A predictive model for color pattern formation in the buttery wing of Papilio dardanus. Hiroshima Mathematical Journal, 32 (2). pp. 325-336.

Madzvamuse, A. and Thomas, R. D. K. and Maini, P. K. and Wathen, A. J. (2002) A numerical approach to the study of spatial pattern formation in the ligaments of arcoid bivalves. Bulletin of Mathematical Biology, 64 (3). pp. 501-530.

Madzvamuse, A. and Thomas, R. D. K. and Maini, P. K. and Wathen, A. J. (2001) A numerical approach to the study of spatial pattern formation in the ligaments of arcoid bivalves. Technical Report. Unspecified. (Submitted)

Madzvamuse, A. and Thomas, R. D. K. and Sekimura, T. and Wathen, A. J. and Maini, P. K. (2003) The moving grid finite element method applied to biological problems, In Morphogenesis and Pattern Formation in Biological Systems: Experiments and Models. Proceedings of Chubu 2002 Conference (T. Sekimura, S. Noji, N. Ueno and P.K. Maini, eds), Springer-Verlag Tokyo, N/A (N/A). pp. 59-65.

Madzvamuse, A. and Wathen, A. J. and Maini, P. K. (2003) A moving grid finite element method applied to a model biological pattern generator. Journal of Computational Physics, 190 (2). pp. 478-500.

Madzvamuse, A. and Wathen, A. J. and Maini, P. K. (2002) A moving grid finite element method applied to a model biological pattern generator. Technical Report. Journal of Computational Physics. (Submitted)

Maini, P. K. (2011) Editorial. Bulletin of Mathematical Biology, 73 (1). p. 1. ISSN 0092-8240

Maini, P K and Baker, R. E. (2014) Modelling Collective Cell Motion in Biology. In: Gulf International Conference on Applied Maths, 2013, Kuwait.

Maini, P. K. and Gatenby, R. A. and Smallbone, K. (2010) Modelling of tumour metabolism. In: Proceedings of the International Congress of Mathematicians, Hyderbad, 19th-27th August. Hindustan Book Agency, New Delhi, pp. 3091-3104.

Maini, P. K. (2001) Applications of mathematical modelling to biological pattern formation,. In, Coherent Structures in Complex Systems, D. Reguera, L.L. Bonilla, J.M. Rubi (eds), Springer (Lecture Notes in Physics), 567 . pp. 205-217.

Maini, P. K. (1997) Bones, feathers, teeth and coat marking: a unified model. Science Progress, 80 (3). pp. 217-229.

Maini, P. K. (1991) A comparison of reaction diffusion and mechanochemical models for limb development. In: Developmental Patterning of the Vertebrate Limb. n/a, n/a (n/a). Plenum Press, New York, USA, pp. 161-163.

Maini, P. K. (1994) Coupled models for spatial organization in development. Ber Bunsenges Physical Chemistry, 98 (9). pp. 1172-1175.

Maini, P. K. (1997) Discrete mathematics and its application to ecology. In: In Mathematics Masterclasses: Stretching the Imagination,. n/a, n/a (n/a). Oxford University Press, Oxford, UK, pp. 89-102.

Maini, P. K. (2006) Editorial. Bulletin of Mathematical Biology, 68 (1). p. 1.

Maini, P. K. (2002) Editorial. Bulletin of Mathematical Biology, 64 (1). p. 1.

Maini, P. K. (2012) Foreward. Computers and Mathematics with Applications, 64 (3). p. 163. ISSN 0898-1221

Maini, P. K. (1996) Foreword. Computers and Mathematical Applications, 32 (11). xiii.

Maini, P. K. (2005) Foreword, Cellular Automaton Modeling of Biological Pattern Formation. In: Cellular Automaton Modeling of Biological Pattern Formation. Birkhauser, Boston, vii-viii. ISBN 987654321

Maini, P. K. (1995) Hierarchical models for spatial pattern formation in biology. Journal of Biological Systems, 3 (4). pp. 987-997.

Maini, P. K. (2003) How the mouse got its stripes. PNAS, 100 (17). pp. 9656-9657.

Maini, P. K. (2004) The impact of Turing's work on pattern formation in biology. Mathematics Today, 40 (4). pp. 140-141.

Maini, P. K. (2002) Making sense of complex phenomena in biology,. 'In Silico' Simulation of Biological Processes, Novartis Symposium, 247 . pp. 53-59.

Maini, P. K. (2000) Mathematical modelling in the biosciences. European Mathematical Society, 37 (n/a). pp. 16-18.

Maini, P. K. (2000) Mathematical modelling in the life sciences: Applications in pattern formation and wound healing. Peyresq Lecture Notes on Nonlinear Phenomena, n/a (n/a). World Scientific, Singapore. ISBN 9810243154

Maini, P. K. (1999) Mathematical models for biological pattern formation, In On Growth and Form. In: Spatio-temporal Patterning in Biology. n/a, n/a (n/a). John Wiley & Sons Ltd, Chichester, West Sussex, pp. 111-128.

Maini, P. K. (1999) Mathematical models in morphogenesis, In Mathematics Inspired by Biology. Springer-Verlag Lecture Notes in Mathematics, 1714 . Springer, Heidelberg.

Maini, P. K. (2008) Modelling aspects of solid cancer growth. Comparative Biochemistry and Physiology, 50 (3). S47.

Maini, P. K. (2005) Morphogenesis, Biological, Encyclopedia of Nonlinear Science. Encyclopedia of Nonlinear Science, n/a (n/a). pp. 587-588.

Maini, P. K. (2002) Pattern formation and wound healing. Theoria et Historia Scientiarum, VI (2). pp. 161-175.

Maini, P. K. (1997) Propagating patterns in morphogenesis and wound healing. Pitman Research Notes in Mathematics, 370 (n/a). Addison Wesley Longman, Harlow, UK.

Maini, P. K. (1989) Spatial and spatio-temporal patterns in a cell-haptotaxis model. Journal of Mathematical Biology, 27 (5). pp. 507-522.

Maini, P. K. (1996) Spatial and spatiotemporal pattern formation in generalised Turing systems. Mathematical and Computational Modelling, 32 (11). pp. 71-77.

Maini, P. K. (1990) Superposition of modes in a caricature of a model for morphogenesis. Journal of Mathematical Biology, 28 (3). pp. 307-315.

Maini, P. K. (2012) Turing's mathematical theory of morphogenesis. Asia Pacific Mathematics Newsletter, 2 (1). pp. 7-8. ISSN ISSN 2010-3492 ISSN 2010-3492

Maini, P. K. (2013) Turing's theory of morphogenesis. In: Alan Turing -- His Work and Impact. Elsevier, pp. 684-688.

Maini, P. K. (2004) Using mathematical models to help understand biological pattern formation. Comptes Rendus Biologies, 327 (3). pp. 225-234.

Maini, P. K. and Alarcon, T. and Byrne, H. M. (2006) Modelling aspects of vascular cancer development. Proceedings of the International Symposium on Mathematical and Computational Biology, R.P. Mondaini and R. Dilao (eds), World Scientific . 1 -12.

Maini, P. K. and Alarcon, T. and Byrne, H. M. and Owen, M. R. and Murphy, J. (2007) Structural adaptation in normal and cancerous vasculature. In: In: MathEverywhere: Deterministic and Stochastic Modelling in Biomedicine, Economics and Industry. Springer, Berlin, Germany, pp. 165-178. ISBN 3-540-44445-9

Maini, P. K. and Alarcon, T. and Byrne, H. M. and Owen, M. R. and Murphy, J. (2007) Structural adaptation in normal and cancerous vasculature. In: In: MathEverywhere: Deterministic and Stochastic Modelling in Biomedicine, Economics and Industry. Springer, Berlin, Germany, pp. 165-178. ISBN 3-540-44445-9

Maini, P. K. and Alarcon, T. and Byrne, H. M. and Owen, M. R. and Murphy, J. (2007) Structural adaptation in normal and cancerous vasculature. In: In: MathEverywhere: Deterministic and Stochastic Modelling in Biomedicine, Economics and Industry. Springer, Berlin, Germany, pp. 165-178. ISBN 3-540-44445-9

Maini, P. K. and Baker, Ruth E. (2009) Preface, Morphogenesis issue. Mathematical Modelling of Natural Phenomena, 4 (4). pp. 1-2. ISSN N/A

Maini, P. K. and Baker, Ruth E. and Chuong, C. M. (2006) The turing model comes of molecular age. Science, 314 (5804). pp. 1397-1398.

Maini, P. K. and Benson, D. L. and Sherratt, J. A. (1992) Environmental instability in heterogeneous domains. Journal of Agricultural Science (Cambridge), 119 . pp. 138-139.

Maini, P. K. and Benson, D. L. and Sherratt, J. A. (1992) Pattern formation in reaction diffusion models with spatially inhomogeneous diffusion coefficients. IMA Journal of Mathematics Applied in Medicine & Biology, 9 (3). pp. 197-213.

Maini, P. K. and Burke, Meghan and Murray, J. D. (1991) On the quasi-steady state assumption applied to Michaelis-Menten and suicide substrate reactions with diffusion. Philosophical Transactions of the Royal Society A, 337 (1646). pp. 299-306. ISSN 0962-8428

Maini, P. K. and Chaplain, M. A. J. and Dosanjh, A. (2007) Editorial. Bulletin of Mathematical Biology, 69 (1). pp. 1-2.

Maini, P. K. and Crampin, E. J. and Madzvamuse, A. and Wathen, A. J. and Thomas, R. D. K. (2003) Implications of domain growth in morphogenesis. In Mathematical Modelling & Computing in Biology and Medicine, Proceedings 5th ECMTB Conference 2002 (ed. V. Cappasso), n/a (n/a). pp. 67-73.

Maini, P. K. and Crampin, E. J. and Madzvamuse, A. and Wathen, A. J. and Thomas, R. D. K. (2002) Implications of domain growth in morphogenesis. Technical Report. Unspecified. (Submitted)

Maini, P. K. and Dallon, J. C. and Sherratt, J. A. (2005) A multiscale model for collagen alignment in wound healing. Journal of Physiology, 561P, SA11 . 5P.

Maini, P. K. and Dillon, R. and Othmer, H. G. (1993) Pattern formation in Turing systems with mixed boundary conditions. In: 2nd International Conference on Biomathematics, 5-6-7 October 1992, San Marino, Italy.

Maini, P. K. and Dillon, R. and Othmer, H. G. (1993) Steady-state patterns in a reaction diffusion system with mixed boundary conditions. In: In Experimental and Theoretical Advances in Biological Pattern Formation. n/a, n/a (n/a). Plenum Press, New York, USA, pp. 231-236. ISBN n/a

Maini, P. K. and Gatenby, R. A. (2006) Some mathematical modelling challenges and approaches in cancer. Cancer Bioinformatics: From Therapy Design to Treatment, S. Nagl (ed), John Wiley & Sons, Ltd,, n/a . pp. 95-107.

Maini, P. K. and Malaguti, L. and Marcelli, C. and Matucci, S. (2007) Aggregative movement and front propagation for bi-stable population models. Mathematical Models Methods Applied Sciences, 17 (9). pp. 1351-1368.

Maini, P. K. and Malaguti, L. and Marcelli, C. and Matucci, S. (2007) Aggregative movement and front propagation for bi-stable population models. Mathematical Models Methods Applied Sciences, 17 (9). pp. 1351-1368.

Maini, P. K. and Malaguti, L. and Marcelli, C. and Matucci, S. (2006) Diffusion-aggregation processes with mono-stable reaction terms. Discrete and Continuous Dynamical Systems Series B, 6 (5). 1175 -1189.

Maini, P. K. and McElwain, S. and Leavesley, D. (2004) A travelling wave model to interpret a wound healing migration assay for human peritoneal mesothelial cells. Tissue Engineering, 10 (3/4). pp. 475-482.

Maini, P. K. and McElwain, S. and Leavesley, D. (2004) Travelling waves in a wound healing assay. Applied Maths Letters, 17 (5). pp. 575-580.

Maini, P. K. and Murray, J. D. (1988) A nonlinear analysis of a mechanical model for pattern formation. SIAM Journal on Applied Mathematics, 48 (5). pp. 1064-1072.

Maini, P. K. and Murray, J. D. and Oster, G. F. (1986) An analysis of one- and two-dimensional patterns in a mechanical model for morphogenesis. Nonlinear Oscillations in Biology and Chemistry, Proceedings 1985 Salt Lake City Conference. Lect. Notes - Biomath, 66 (n/a). Springer-Verlag, Heidelberg, Germany. ISBN n/a

Maini, P. K. and Murray, J. D. and Oster, G. F. (1985) A mechanical model for biological pattern formation: A nonlinear bifurcation analysis. Ordinary and Partial Differential Equations, Proceedings 1984 Dundee Conference. Lecture Notes - Mathematics 1151, n/a (n/a). Springer-Verlag, Heidelberg, Germany. ISBN 0075-8434

Maini, P. K. and Myerscough, M. R. (1997) Boundary-driven instability. Applied Mathematics Letters, 10 (1). pp. 1-4.

Maini, P. K. and Myerscough, M. R. and Murray, J. D. and Winters, K. H. (1991) Bifurcating spatially heterogeneous solutions in a chemotaxis model for biological pattern formation. Bulletin of Mathematical Biology, 53 (5). pp. 701-719. ISSN 0092-8240

Maini, P. K. and Myerscough, M. R. and Murray, J. D. and Winters, K. H. (1991) Bifurcating spatially heterogeneous solutions in a chemotaxis model for biological pattern formation. Bulletin of Mathematical Biology, 53 (5). pp. 701-719. ISSN 0092-8240

Maini, P. K. and Okubo, A. and Williamson, M. H. and Murray, J. D. (1991) The spatial spread of the grey squirrel in Britain. Journal of Agricultural Science Cambridge, 117 . p. 131.

Maini, P. K. and Olsen, L. and Sherratt, J. A. (2002) Mathematical models for cell-matrix interactions during dermal wound healing. International Journal of Bifurcation and Chaos, 12 (9). pp. 2021-2029.

Maini, P. K. and Painter, K. J. and Chau, H. N. P. (1997) Spatial pattern formation in chemical and biological systems. Faraday Transactions, 93 (20). pp. 3601-3610.

Maini, P. K. and Sánchez-Garduño, F. (1993) Travelling waves in density-dependent dispersion models. Journal of Agricultural Science Cambridge, 121 . p. 284.

Maini, P. K. and Schnell, S. and Jolliffe, S. (2004) Bulletin of Mathematical Biology - facts, figures and comparisons. Bulletin of Mathematical Biology, 66 (4). pp. 595-603.

Maini, P. K. and Solursh, M. (1991) Cellular mechanisms of pattern formation in the developing limb. International Review of Cytology, 129 . pp. 91-133.

Maini, P. K. and Wei, J. and Winter, M. (2007) Stability of spikes in the shadow Gierer-Meinhardt system with Robin boundary conditions. Chaos, 17 (3). 037106-1-037106-16. ISSN n/a

Maini, P. K. and Winters, K. H. and Myerscough, M. R. and Murray, J. D. (1993) Bifurcating spatial patterns in a cell-chemotaxis model. In: Proceedings first European Conference of Mathematics Applied to Biology and Medicine. n/a, n/a (n/a). Wuerz Publishing Ltd, Winnipeg, Canada, pp. 467-471.

Maini, P. K. and Woolley, T. E. and Baker, R. E. and Gaffney, E. A. and Seirin Lee, S (2012) Turing's model for biological pattern formation and the robustness problem. Interface Focus, 2 (4). pp. 487-496.

Mantzaris, A V and Bassett, D S and Wymbs, N F and Estrada, E and Porter, M A and Mucha, P J and Grafton, S T (2013) Dynamic network centrality summarizes learning in the human brain. Journal of Complex Networks, 1 (1). pp. 83-92.

Marchant, Ben P. and Norbury, John and Byrne, H. M. (2006) Biphasic behaviour in malignant invasion. Mathematical Medicine and Biology, 23 (3). pp. 173-196.

Markham, D C and Baker, R. E. and Maini, P. K. (2014) Modelling collective cell behaviour. Discrete and Continuous Dynamical Systems , 34 (12). pp. 5123-5133.

Markham, D C and Simpson, M J and Maini, P. K. and Gaffney, E. A. and Baker, R. E. (2014) Comparing methods for modelling spreading cell fronts. Journal of Theoretical Biology, 353 (1). pp. 95-103.

Markham, D C and Simpson, M J and Maini, P. K. and Gaffney, E. A. and Baker, R. E. (2013) Incorporating spatial correlations into multispecies mean-field models. Physical Review E, 88 . 052713-(9 pages).

Martin, N K and Gaffney, E. A. and Gatenby, R A and Gillies, R. J. and Robey, I F and Maini, P. K. (2011) A mathematical model of tumour & blood pHe regulation: The HCO-3/CO2 buffering system. Mathematical Biosciences, 230 (1). pp. 1-11.

Martin, N K and Gaffney, E. A. and Gatenby, R A and Maini, P. K. (2010) Leaky vessels as a potential source of stromal acidification in tumours. Journal of Theoretical Biology, 267 (3). pp. 454-460.

Martin, N K and Gaffney, E. A. and Gatenby, R. A. and Maini, P. K. (2010) Tumour-stromal interactions in acid-mediated invasion: a mathematical model. Journal of Theoretical Biology, 267 (3). pp. 461-470.

Martin, N K and Robey, I F and Gaffney, E. A. and Gatenby, R. A. and Maini, P. K. (2012) Predicting the safety and efficacy of butter therapy to raise tumour pHe: an integrative modelling study. British Journal of Cancer, 106 (7). pp. 1280-1287. ISSN 0007-0920

McDougall, S. and Dallon, J. C. and Sherratt, J. A. and Maini, P. K. (2006) Fibroblast migration and collagen deposition during dermal wound healing: mathematical modelling and clinical implications,. Philosophical Transactions of the Royal Society A, 364 (1843). pp. 1385-1405.

Mcgillen, J B and Gaffney, E. A. and Martin, N K and Maini, P. K. (2014) A general reaction-diffusion model of acidity in cancer invasion. Journal of Mathematical Biology, 68 (5). pp. 1199-1224.

Mcgillen, J B and Kelly, C and Martinez-Gonzalez, A and Martin, N K and Gaffney, E A and Maini, P. K. and Perez-Garcia, V (2014) Glucose-lactate metabolic cooperation in cancer: insights from a spatial mathematical model and implications for targeted therapy. Journal of Theoretical Biology, 361 (1). pp. 190-203.

Mcgillen, J B and Martin, N K and Robey, I F and Gaffney, E. A. and Maini, P. K. (2012) Applications of mathematical analysis to tumour acidity modelling. RIMS Kokyuroku Bessatsu, B31 . pp. 31-59.

McInerney, D. and Schnell, S. and Baker, Ruth E. and Maini, P. K. (2004) A mathematical formulation for the cell-cycle model in somitogenesis: analysis, parameter constraints and numerical solutions. Mathematical Medicine & Biology, 21 (2). pp. 85-113.

McLennan, R and Dyson, L and Prather, K W and Morrison, J A and Baker, R. E. and Maini, P. K. and Kulesa, P. M. (2012) Multiscale mechanisms of cell migration during development: theory and experiment. Development, 139 (16). pp. 2935-2944.

McSharry, P. E. and McGuinness, M. J. and Fowler, A. C. (2005) Confronting a cardiovascular system model with heart rate and blood pressure data. Comput. Cardiol., 32 . pp. 587-590.

Meyer-Hermann, M. E. and Maini, P. K. (2005) Cutting edge: back to "one-way" germinal centers. The Journal of Immunology, 174 (5). pp. 2489-2493.

Meyer-Hermann, M. E. and Maini, P. K. (2005) Interpreting two-photon imaging data of lymphocyte motility. Physical Review E, 71 (6). 061912-1.

Meyer-Hermann, M. E. and Maini, P. K. and Iber, D. (2006) An analysis of B cell selection mechanisms in germinal centres. Mathematical Medicine & Biology, 23 (3). pp. 255-277.

Meyer-Hermann, M. E. and Maini, P. K. and Iber, D. (2005) Analysis of B cell selection mechanisms in the adaptive immune response. Immunobiology, 210 (6-8). p. 372. ISSN n/a

Mirams, G R and Arthurs, C J and Bernabeu, M O and Bordas, R and Cooper, J and Corrias, A and Davit, Y. and Dunn, S J and Fletcher , A G and Harvey, D G and Marsh , M E and Osborne, J M and Pathmanathan, P. and Pitt-Francis, J and Southern, J. and Zemzemi, N and Gavaghan, D J (2013) Chaste: an open source C++ library for computational physiology and biology. PLOS Computational Biology, 9 . e1002970.

Mirams, G R and Fletcher, A G and Maini, P. K. and Byrne, H. M. (2012) A theoretical investigation of the effect of proliferation & adhesion on monoclonal conversion in the colonic crypt. Journal of Theoretical Biology, 312 (2). pp. 143-156.

Miura, T. and Maini, P. K. (2004) Periodic pattern formation in reaction-diffusion systems -an introduction for numerical simulation. Anatomical Science International, 79 (3). pp. 112-123.

Miura, T. and Maini, P. K. (2004) Speed of pattern appearance in reaction-diffusion models: Implications in the pattern formation of limb bud mesenchyme cells. Bulletin of Mathematical Biology, 66 (4). pp. 627-649.

Miura, T. and Shiota, K. and Morriss-Kay, G. and Maini, P. K. (2006) Mixed mode pattern in Doublefoot mutant mouse limb - Turing reaction-diffusion model on a growing domain during limb development. Journal of Theoretical Biology, 240 (4). 562 -573.

Monro, H C and Gaffney, E. A. Modelling chemotherapy resistance in palliation and failed cure. Journal of Theoretical Biology, 257 (2). pp. 292-302.

Monro, H C and Gaffney, E. A. (2009) Modelling chemotherapy resistance in palliation and failed cure. Journal of Theoretical Biology, 257 (2). pp. 292-302.

Moulton, D E and Goriely, A. (2014) Surface growth kinematics via local curve evolution. Journal of Mathematical Biology, 68 (1-2). pp. 81-108.

Moulton, D E and Lega, J (2013) Effect of disjoining in a thin film equation with non-uniform forcing. European Journal of Applied Mathematics, 24 (6). pp. 887-920.

Mukhopadhyay, H and Cordoba, S P and Maini, P. K. and van der Merwe, A and Dushek, O (2013) Systems model of T cell receptor proximal signaling reveals emergent ultrasensitivity. PLOS Computational Biology, 9 (3). e1003004-8 pages.

Murphy, K. E. and Hall, C. L. and Maini, P. K. and McCue, S. W. and D L Sean, McElwain (2012) A fibrocontractive mechanochemical model of dermal wound closure incorporating realistic growth factor kinetics. Bulletin of Mathematical Biology, 74 (5). pp. 1143-1170. ISSN 0092-8240

Murray, J. D. and Cruywagen, G. C. and Maini, P. K. (1994) Pattern formation in tissue interaction models. In: Lecture Notes in Biomathematics. n/a, 100 (n/a). Springer Verlag,, Heidelberg, Germany, pp. 104-116.

Murray, J. D. and Maini, P. K. (1986) A new approach to the generation of pattern and form in embryology. Science Progress, 70 . pp. 539-553.

Murray, J. D. and Maini, P. K. (1989) Pattern formation mechanisms - a comparison of reaction diffusion and mechanochemical models. n/a, n/a (n/a). Academic Press, London, UK. ISBN n/a

Murray, J. D. and Maini, P. K. and Tranquillo, R. T. (1988) Mechanochemical models for generating biological pattern and form in development. Physics Reports, 171 (2). pp. 59-84.

Murray, P J and Edwards, C. M. and Tindall, M. J. and Maini, P. K. (2009) From a discrete to a continuum model of cell dynamics in one dimension. Physical Review E, 80 (3). 031912-1.

Murray, P J and Edwards, C. M. and Tindall, M. J. and Maini, P. K. (2012) Classifying general nonlinear force laws in cell-based models via the continuum limit. Physical Review E, 85 (2). 021921-(11 pages). ISSN 1063-651X

Murray, P J and Kang, J W and Mirams, G R and Shin, S Y and Byrne, H. M. and Maini, P. K. and Cho, K H (2010) Modelling spatially regulated B-catenin dynamics & invasion in intestinal crypts. Biophysical Journal , 99 (3). pp. 716-725.

Murray, P J and Maini, P. K. and Baker, R. E. The clockfront and wavefront model revisited. Journal of Theoretical Biology, 283 (1). 227`-238.

Murray, P J and Maini, P. K. and Baker, R. E. (2013) Modelling delta-notch perturbations during zebrafish somitogenesis. Developmental Biology, 373 (2). pp. 407-421.

Murray, P J and Maini, P. K. and Baker, R. E. (2013) Modelling Oscillator synchronisation during vertebrate axis segmentation. In: Springer Proceedings in Mathematics. Pattern Formation in Morphogenesis, 15 . Springer-Verlag Berlin Heidelberg, Heidelberg, pp. 95-105. ISBN 978-3-642-20164-6

Murray, P J and Maini, P. K. and Plikus, M. V. and Chuong, C. M. and Baker, R. E. (2012) Modelling hair follicle growth dynamics as an excitable medium. PLOs Computational Biology, 8 (12). e1002804-(19 pages).

Murray, P J and Walter, A and Fletcher, A G and Edwards, C. M. and Tindall, M. J. and Maini, P. K. (2011) Comparing a discrete and continuum model of the intestinal crypt. Physical Biology, 8 (2). 026011 (11 pages. ISSN 1478-3975

Myerscough, M. R. and Maini, P. K. and Murray, J. D. and Winters, K. H. (1990) Two dimensional pattern formation in a chemotactic system. In: Dynamics of Complex Interconnected Biological Systems. n/a, n/a (n/a). Birkhauser, Boston, USA, pp. 65-83. ISBN n/a

Myerscough, M. R. and Maini, P. K. and Painter, K. J. (1998) Pattern formation in a generalised chemotactic model. Bulletin of Mathematical Biology, 60 (1). pp. 1-26.

N

Neiman, B. (2000) A mathematical model of chronic myelogenous leukemia. Masters thesis, University of Oxford.

Ngwa, G. A. and Maini, P. K. (1995) Spatio-temporal patterns in a mechanical model for mesenchymal morphogenesis. Journal of Mathematical Biology, 33 (5). pp. 489-520.

Nicolau, D. and Maini, P. K. (2007) Pomitaxis: Computing with a bacterial-inspired algorithm. In: Proceedings of the Seventh International Workshop on Information Processing in Cells and Tissues, 29th-31st Aug 2007, Oxford, United Kingdom.

Nicolau jr, D. V. and Armitage, J. P. and Maini, P. K. (2009) Directional persistence & the optimality of run-and-tumble chemotaxis. Computational Biology and Chemistry, 33 (4). pp. 269-274.

Nicolau jr, D. V. and Burrage, K. and Nicolau, D. V. and Maini, P. K. (2008) 'Extremotaxis': Computing with a bacterial-inspired algorithm. Biosystems, 94 (1-2). pp. 47-54.

Nicolau jr, D. V. and Nicolau, D. V. and Maini, P. K. (2007) A biomimetic algorithm for the improved detection of microarray features,. In Imaging, Manipulation, and Analysis of Biomolecules, Cells and Tissues V, 64411C (n/a). The International Society for Optical Engineering, USA. ISBN 10.1117/12.725769

Nijhout, H. F. and Maini, P. K. and Madzvamuse, A. and Wathen, A. J. and Sekimura, T. (2003) Pigmentation pattern formation in butterflies - Experiments and Models -. Technical Report. COMPTES RENDUS. (Submitted)

Nijhout, H. F. and Maini, P. K. and Madzvamuse, A. and Wathen, A. J. and Sekimura, T. (2003) Pigmentation pattern formation in butterflies: experiments and models. C.R. Biologies, 326 (8). pp. 717-727.

O

O'Dea, R. D. and Waters, S. L. and Byrne, H. M. (2008) A two-fluid model for tissue growth within
a dynamic flow environment.
Euro. Jnl of Applied Mathematics .

O'Keeffe, S.G. and Moulton, D. E. and Waters, S. L. and Goriely, A. (2013) Growth-induced axial buckling of a slender elastic filament embedded in an isotropic elastic matrix. International Journal of Nonlinear Mechanics, 56 . pp. 94-104.

Okubo, A. and Maini, P. K. and Williamson, M. H. and Murray, J. D. (1989) On the spatial spread of the grey squirrel in Britain. Proceedings of the Royal Society London B, 238 (1291). pp. 113-125. ISSN 0080-4649

Olsen, L. and Maini, P. K. and Sherratt, J. A. (1997) A mechanochemical model for normal and abnormal dermal wound repair. Nonlinear Analysis Theory, Methods & Applications, 30 (6). pp. 3333-3338.

Olsen, L. and Maini, P. K. and Sherratt, J. A. (1998) Spatially varying equilibria of mechanical models: Application to dermal wound contraction. Mathematical Biosciences, 147 (1). pp. 113-129.

Olsen, L. and Maini, P. K. and Sherratt, J. A. and Dallon, J. C. (1999) Mathematical modelling of anisotropy in fibrous connective tissue. Mathematical Biosciences, 158 (2). pp. 145-170.

Olsen, L. and Maini, P. K. and Sherratt, J. A. and Marchant, B. (1998) Simple modelling of extracellular alignment in dermal wound healing. I Cell ux induced alignment. Journal of Theoretical Medicine, 1 . pp. 175-192.

Olsen, L. and Maini, P. K. and Sherratt, J. A. and Marchant, B. (1998) Simple modelling of extracellular alignment in dermal wound healing. I Cell ux induced alignment. Journal of Theoretical Medicine, 1 . pp. 175-192.

Olsen, L. and Sherratt, J. A. and Maini, P. K. (1996) A mathematical model for fibro-proliferative wound healing disorders. Bulletin of Mathematical Biology, 58 (4). pp. 787-808.

Olsen, L. and Sherratt, J. A. and Maini, P. K. (1995) A mechanochemical model for adult dermal wound contraction. Journal of Biological Systems, 3 (4). pp. 1021-1031.

Olsen, L. and Sherratt, J. A. and Maini, P. K. (1995) A mechanochemical model for adult dermal wound contraction. Journal of Biological Systems, 3 (4). pp. 1021-1031.

Olsen, L. and Sherratt, J. A. and Maini, P. K. (1995) A mechanochemical model for adult dermal wound contraction: On the permanence of the contracted tissue displacement profile. Journal of Theoretical Biology, 177 (2). pp. 113-128.

Olsen, L. and Sherratt, J. A. and Maini, P. K. and Arnold, F. (1997) A mathematical model for the capillary endothelial cell-extracellular matrix interactions in wound-healing angiogenesis. IMA Journal of Mathematics Applied Medicine & Biology, 14 (4). pp. 261-281.

Onnela, J P and Fenn, D J and Reid, S and Porter, M A and Mucha, P J and Fricker, M D and Jones, N S (2012) Taxonomies of networks from community structure. Physical Review E, 86 (3). 036104.

Osborne, J and Walter, A and Kershaw, S. K. and Mirams, G R and Fletcher, A G and Pathmanathan, P. and Gavaghan, D. J. and Jensen, O E and Maini, P. K. and Byrne, H. M. (2010) A hybrid approach to multi-scale modelling of cancer. Philosophical Transactions of the Royal Society A, 368 (1930). pp. 5013-5028. ISSN 0962-8428

Oshmyansky, A. R. and Maini, P. K. (2008) A new neurosurgical tool incorporating differential geometry and cellular automata techniques. In: Proceedings of the International Symposium on Mathematical and Computational Biology. BIOMAT, 3 (1/2). World Scientific, London, pp. 119-127.

Oster, G. F. and Murray, J. D. and Maini, P. K. (1984) Forces and pattern in limb morphogenesis. Journal of Embryology and Experimental Morphology, 82 (n/a). p. 98.

Oster, G. F. and Murray, J. D. and Maini, P. K. (1985) A model for chondrogenic condensations in the developing limb. Journal of Embryology and experimental Morphology, 89 . pp. 93-112.

Owen, M. R. and Alarcon, T. and Maini, P. K. and Byrne, H. M. (2009) Angiogenesis and vascular remodelling in normal and cancerous tissues. Journal of Mathematical Biology, 58 (4-5). pp. 689-721.

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Page, K. and Maini, P. K. and Monk, N. A. M. (2003) Pattern formation in spatially heterogeneous Turing reaction-diffusion models. Physica D, 181 (1-2). pp. 80-101.

Page, K. M. and Maini, P. K. and Monk, N. A. M. (2005) Complex pattern formation in reaction diffusion systems with spatially-varying parameters. Physica D, 202 (1-2). pp. 95-115.

Page, K. M. and Maini, P. K. and Monk, N. A. M. and Stern, C. D. (2001) A model of primitive streak initiation in the chick embryo. Journal of theoretical Biology, 208 (4). pp. 419-438.

Page, K. M. and Monk, N. A. M. and Maini, P. K. (2007) Speed of reaction diffusion in embryogenesis. Physical Review E, 76 (1). 011902-1. ISSN n/a

Painter, K. J. and Maini, P. K. and Othmer, H. G. (2000) A chemotactic model for the advance and retreat of the primitive streak in avian development. Bulletin of Mathematical Biology, 62 (3). pp. 501-525.

Painter, K. J. and Maini, P. K. and Othmer, H. G. (2000) Development and applications of a model for cellular response to multiple chemotactic cues. Journal of Mathematical Biology, 41 (4). pp. 285-314.

Painter, K. J. and Maini, P. K. and Othmer, H. G. (1999) Stripe formation in juvenile Pomacanthus explained by a generalised Turing mechanism with chemotaxis. Proceedings of the National Academy of Science, 96 (10). pp. 5549-5554.

Palk, L and Sneyd, J. S. and Patterson, K and Shuttleworth, T J and Yule, D I and Maclaren, O J and Crampin, E J (2012) Modelling the effects of calcium waves and oscillations on saliva secretion. Journal of Theoretical Biology, 305 . pp. 45-53.

Pandey, A and Moulton, D E and Vella, D. and Holmes, D P (2014) Dynamics of snapping beams and jumping poppers. Europhysics Letters, 105 (2). p. 24001.

Panovska, J. and Byrne, H. M. and Maini, P. K. (2007) Mathematical modelling of vascular tumour growth and implications for therapy. In: Mathematical Modeling of Biological Systems. Modeling and Simulation in Science, Engineering and Technology, I (n/a). Birkhauser, Boston, pp. 205-216. ISBN n/a

Panovska, J. and Byrne, H. M. and Maini, P. K. (2008) A theoretical study of the response of vascular tumours to different types of chemotherapy. Mathematical and Computer Modelling, 47 (5-6). pp. 560-579.

Pearson, John W. and Stoll, Martin (2012) Fast iterative solution of reaction-diffusion control problems arising from chemical processes. Technical Report. SIAM. (Submitted)

Perelson, A. S. and Maini, P. K. and Murray, J. D. and Hyman, J. M. and Oster, G. F. (1986) Nonlinear pattern selection in a mechanical model for morphogenesis. Journal of Mathematical Biology, 24 (5). pp. 525-541.

Perfahl, H and Byrne, H. M. and Chen, T and Estrella, V and Alarcon, T. and Lapin, A and Gatenby, R. A. and Gilles, R and Lloyd, M C and Maini, P. K. and Reuss, M and Owen, M. R. (2011) Multiscale modelling of vascular tumour growth in 3D: the roles of domain size & boundary condition. PLOs One, 6 (4). 17 pages.

Perfahl, H and Byrne, H. M. and Chen, T and Estrella, V and Alarcon, T. and Lapin, A and Gatenby, R. A. and Gillies, R. J. and Lloyd, M C and Maini, P. K. and Reuss, M and Owen, M. R. (2013) 3D Multiscale modelling of angiogenesis and vascular tumour growth. In: Micro and Nano Flow Systems Flow Systems for Bioanalysis. Bioanalysis, 2 . Springer, New York, pp. 29-48.

Perumpanani, A. J. and Sherratt, J. A. and Maini, P. K. (1995) Phase differences in reaction-diffusion-advection systems and applications to morphogenesis. IMA Journal of Applied Mathematics, 55 (1). pp. 19-33.

Piltz, S and Porter, M A and Maini, P. K. (2014) Prey switching with a linear preference trade-off. SIAM Journal on Applied Mathematics, 13 (2). pp. 658-682. ISSN 1095-712X

Pitt-Francis, J and Pathmanathan, P. and Bernabeu, M O and Bordas, R and Cooper, J and Fletcher, A G and Mirams, G R and Murray, P J and Osbourne, J and Walter, A and Chapman, S. J. and Garny, A. and van Leeuwen, I. M. M. and Maini, P. K. and Rodriguez, B and Waters, S. L. and Whiteley, J. P. and Byrne, H. M. and Gavaghan, D. J. (2009) Chaste: a test-driven approach to software development for biological modelling. Computer Physics Communications, 180 (12). pp. 2452-2471.

Plaza, R. and Sánchez-Garduño, F. and Padilla, P. and Barrio, R. A. and Maini, P. K. (2004) The effect of growth and curvature on pattern formation. Journal of Dynamics and Differential Equations, 16 (4). pp. 1093-1121.

Plikus, M. V. and Baker, R. E. and Chen, C C and Fare, C and de La Cruz, D. and Andl, T and Maini, P. K. (2011) Self-organizing & stochastic behaviors during the regeneration of hair stem cells. Science, 332 (6029). p. 586.

Plikus, M. V. and Baker, Ruth E. and Mayer, J. and Maini, P. K. and Chuong, C. (2007) BMB activity defines refractory and competent hair follicle populations during the propagation of regenerative waves. Journal of Investigative Dermatology, 127 (S1). S107.

Plikus, M. V. and Mayer, J. A. and de La Cruz, D. and Baker, Ruth E. and Maini, P. K. and Maxson, R. and Chuong, C. M. (2008) Cyclic dermal BMP signalling regulates stem cell activation during hair regeneration. Nature, 451 (7176). pp. 340-345.

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Ribba, B. and Alarcon, T. and Marron, K. and Maini, P. K. and Agur, Z. (2004) The use of hybrid cellular automaton models for improving cancer therapy, In Proceedings, Cellular Automata: 6th International Conference on Cellular Automata for Research and Industry, ACRI 2004, Amsterdam, The Netherlands, eds P.M.A. Sloot, B. Chopard, A.G. Hoekstra. Lecture Notes in Computer Science, 3305 . pp. 444-453.

Ribba, B. and Marron, K. and Agur, Z. and Alarcon, T. and Maini, P. K. (2005) A mathematical model of Doxorubicin treatment efficacy on non-Hodgkin’s lymphoma: Investigation of current protocol through theoretical modelling results. Bulletin of Mathematical Biology, 67 (1). pp. 79-99.

Roberts, M.A.J. and August, E. and Hamadeh, A. and Maini, P. K. and McSharry, P. E. and Armitage, J. P. and Papachristodoulou, A. (2009) A model invalidation-based approach for elucidating biological signalling pathways, applied to the chemotaxis pathway inR. sphaeroides. BMC Systems Biology, 3 (3). pp. 1-14.

Rodríguez-González, J. G. and Santillán, M. and Fowler, A. C. and Mackey, M. C. (2007) The segmentation clock in mice: Interaction between the Wnt and Notch signalling pathways. J. Theor. Biol., 248 . pp. 37-47.

Roose, T. (2000) Mathematical model of plant nutrient uptake. PhD thesis, University of Oxford.

Roose, T. and Chapman, S. J. and Maini, P. K. (2006) A mathematical model for simultaneous spatio-temporal dynamics of calcium and inositol 1,4,5-trisphosphate in Madin-Darby canine kidney epithelial cells. Bulletin Mathematical Biology, 68 . pp. 2027-2051.

Roose, T. and Chapman, S. J. and Maini, P. K. (2005) Mathematical models of avascular cancer. SIAM Review . (In Press)

Roose, T. and Chapman, S. J. and Maini, P. K. (2007) Mathematical models of avascular cancer. SIAM Review, 49 (2). pp. 179-208. ISSN 0036-1445

Roose, T. and Chapman, S. J. and Maini, P. K. (2007) Mathematical models of avascular tumor growth. Siam Review, 49 (2). pp. 179-208.

Roose, T. and Fowler, A. C. (2004) A mathematical model for water and nutrient uptake by plant root systems. J. Theor. Biol., 228 (2). pp. 173-184.

Roose, T. and Fowler, A. C. (2004) A model for water uptake by plant roots. J. Theor. Biol., 228 (2). pp. 155-171.

Roose, T. and Fowler, A. C. and Darrah, P. R. (2001) A mathematical model of plant nutrient uptake. J. Math. Biol., 42 . pp. 347-360.

Roose, T. and Maini, P. K. and Cory, J. and Hails, R S (1995) The spread of viral infection in moths,. Journal of Agricultural Science (Cambridge), 125 . p. 161.

Roose, Tiina and Fowler, A. C. (2008) Network development in biological gels: role in lymphatic vessel development. Bull. Math. Biol. .

Roose, Tiina and Fowler, A. C. (2008) Network development in biological gels: role in lymphatic vessel development. Bull. Math. Biol., 70 . pp. 1772-1789.

Rosser, G and Fletcher, A G and Maini, P. K. and Baker, R. E. (2013) The effect of sampling rate on observed statistics in a correlated random walk. The Journal of the Royal Society Interface, 10 (83). pp. 1742-5662.

Rosser, G and Fletcher, A G and Wilkinson, D A and de Beyer, J A and Yates, C A and Armitage, J P and Maini, P. K. and Baker, R. E. (2013) Novel methods for analysing bacterial tracks reveal persistence in rhodobacter sphaeroides. PLOs Computational Biology, 9 (10). e1003276-(18 pages).

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Satnoianu, R. A. and Maini, P. K. and Menzinger, M. (2001) Parameter domains for Turing and stationary flow-distributed waves: I. The influence of nonlinearity. Physica D, 160 (1-2). pp. 79-102.

Satnoianu, R. A. and Maini, P. K. and Sánchez-Garduño, F. and Armitage, J. P. (2001) Travelling waves in a nonlinear degenerate diffusion model for bacterial pattern formation. DCDS B, 1 (3). pp. 339-362.

Satnoianu, R. A. and Menzinger, M. and Maini, P. K. (2000) Turing instabilities in general systems. Journal of Mathematical Biology, 41 (6). pp. 493-512.

Sánchez-Garduño, F. and Kappos, E. and Maini, P. K. (1996) A shooting argument approach to a sharp type solution for nonlinear degenerate Fisher-KPP equations. IMA Journal of Applied Mathematics, 57 (3). pp. 211-221.

Sánchez-Garduño, F. and Maini, P. K. (1994) An approximation to a sharp type solution of a density-dependent diffusion equation. Applied Mathematics Letters, 7 (1). pp. 47-51.

Sánchez-Garduño, F. and Maini, P. K. (1994) Existence and uniqueness of a sharp travelling wave in degenerate non-linear diffusion Fisher-KPP equations. Journal of Mathematical Biology, 33 (10.1007/BF00160178). pp. 163-192.

Sánchez-Garduño, F. and Maini, P. K. (1997) Travelling wave phenomena in non-linear diffusion degenerate Nagumo equations. Journal of Mathematical Biology, 35 (6). pp. 713-728.

Sánchez-Garduño, F. and Maini, P. K. (1994) Travelling wave phenomena in some degenerate reaction-diffusion equations. Journal of Differential Equations, 114 (2). pp. 434-475.

Sánchez-Garduño, F. and Maini, P. K. (1993) Wave patterns in one-dimensional nonlinear degenerate diffusion equations. In: Experimental and Theoretical Advances in Biological Pattern Formation. Plenum Press, New York, USA, pp. 83-86.

Sánchez-Garduño, F. and Maini, P. K. and Kappos, E. (1996) A review on travelling wave solutions of one-dimensional reaction diffusion equations with non-linear diffusion term. FORMA, 11 (1). pp. 45-59.

Sánchez-Garduño, F. and Maini, P. K. and Kappos, E. (1996) A review on travelling wave solutions of one-dimensional reaction diffusion equations with non-linear diffusion term. FORMA, 11 (1). pp. 45-59.

Sánchez-Garduño , F and Maini, P. K. and Pérez-Velázquez, J (2010) A non-linear degenerate equation for direct aggregation and traveling wave dynamics. Discrete and Continuous Dynamical Systems Series B, 13 (2). pp. 455-487.

Scheerlinck, N. and Escudero, C. and Baker, Ruth E. and Maini, P. K. (2007) Modelling spatio-temporal starch degradation patterns in apples during fruit growth. Journal of Agricultural Science, 145 (6). pp. 645-646.

Schlackow, M and Marguerat, S and Proudfoot, N and Bahler, J and Erban, R. and Gullerova, M (2013) Genome-wide analysis of poly(A) site selection in schizosaccharomyces pombe,. RNA, 19 . pp. 1-15.

Schnell, S. and Grima, R. and Maini, P. K. (2007) Multiscale modeling in biology. American Scientist, 95 (1). pp. 134-142.

Schnell, S. and Maini, P. K. (2003) A century of enzyme kinetics. Should we believe in the Km and vmax estimates? Comments in Theoretical Biology, 8 (2-3). pp. 169-187.

Schnell, S. and Maini, P. K. (2000) Clock and induction model for somitogenesis. Developmental Dynamics, 217 (4). pp. 415-420.

Schnell, S. and Maini, P. K. (2000) Enzyme kinetics at high enzyme concentrations. Bulletin of Mathematical Biology, 62 (3). pp. 483-499.

Schnell, S. and Maini, P. K. (2002) Enzyme kinetics far from the standard quasi-steady-state and equilibrium approximations. Mathematical and Computer Modelling, 35 (1-2). pp. 137-144.

Schnell, S. and Maini, P. K. and McInerney, D. and Gavaghan, D. J. and Houston, P. (2002) Models for pattern formation in somitogenesis: a marriage of cellular and molecular biology. C.R. Biologies, 325 (3). pp. 179-189.

Schnell, S. and Maini, P. K. and Newman, S. A. and Newman, T. J. (2007) Introduction. Current Topics in Developmental Biology, 81 (1). xvii-xxv.

Schnell, S. and Painter, K. J. and Maini, P. K. and Othmer, H. G. (2001) Spatiotemporal pattern formation in early development: A review of primitive streak formation and somitogenesis. The IMA Volumes in Mathematics and its Applications, 121 (10: 0-387-95103-2). Springer, Heidelburg, pp. 11-37.

Schnepf, Andrea (2005) Phosphorus nutrition of mycorrhizal plants. A mathematical model. Masters thesis, University of Oxford.

Schofield, J W and Gaffney, E. A. and Gatenby, R A and Maini, P. K. (2011) Tumour angiogenesis: The gap between theory and experiment. Journal of Theoretical Biology, 274 (1). pp. 97-102.

Schumacher, L J and Woolley, T E and Baker, R E (2013) Noise-induced temporal dynamics in Turing systems. Physical Review E, 87 (4). 042719.

Scott, J G (2012) Phase i trialist. The Lancet Oncology, 13 (3). p. 236.

Scott, J G and Fletcher, A G and Maini, P. K. and Anderson, A R A and Baker, R. E. (2014) A filter-flow perspective of haematogenous metastasis offers a non-genetic paradigm for personalised cancer therapy. European Journal of Cancer, 50 (17). pp. 3068-3075.

Scott, J G and Gerlee, P and Basanta, D and Fletcher, A G and Maini, P. K. and Anderson, A R A (2013) Mathematical modeling of the metastatic process. In: Experimental Metastasis: Modeling and Analysis. Springer, Dordrecht, pp. 189-208.

Scott, J G and Kuhn, P and Anderson, A R A (2012) Unifying metastasis--Integrating intravasation, circulation and end organ colonization. Nature Reviews Cancer, 12 (7). p. 445.

Seirin Lee, S and Baker, R E and Gaffney, E. A. and White , S M (2013) Optimal strategies for Aedes aegypti mosquito control via transgenic and sterile insect techniques: endemics and emerging outbreaks. Journal of Theoretical Biology, 331 (1). pp. 78-90.

Seirin Lee, S and Gaffney, E. A. and Monk, N. A. M. (2010) The influence of gene expression time delays on Gierer-Meinhardt pattern formation systems. Bulletin of Mathematical Biology, 72 (8). pp. 2139-2160.

Sekimura, T. and Madzvamuse, A. and Maini, P. K. (2007) Pigmentation pattern formation in butterfly wigns: Global patterns on fore- and hind-wing. In: Mathematical Modeling of Biological Systems. Modeling & Simulation in Science, Engineering and Technology, 1 (n/a). Birkhauser, Boston, pp. 141-148. ISBN n/a

Sekimura, T. and Madzvamuse, A. and Wathen, A. J. and Maini, P. K. (2000) A Model for Colour Pattern Formation in the Butterfly Wing of Papilio dardanus. Technical Report. Unspecified. (Submitted)

Sekimura, T. and Madzvamuse, A. and Wathen, A. J. and Maini, P. K. (2000) A model for colour pattern formation in the buttery wing of Papilio dardanus. Proceedings of the Royal Society London B, 267 (1446). pp. 851-859.

Sekimura, T. and Madzvamuse, A. and Wathen, A. J. and Maini, P. K. (2002) Pigmentation of pattern formation in the butterfly wing of Papilio dardanus. Technical Report. Unspecified. (Submitted)

Sekimura, T. and Madzvamuse, A. and Wathen, A. J. and Maini, P. K. (2003) Pigmentation pattern formation in the buttery wing of Papilio dardanus. Mathematical Modelling & Computing in Biology and Medicine, Proceedings 5th ECMTB Conference 2002 (ed. V. Cappasso), n/a (n/a). pp. 558-563.

Sekimura, T. and Maini, P. K. and Nardi, J. B. and Zhu, M. and Murray, J. D. (1998) Pattern formation in Lepidopteran wings. Comments in Theoretical Biology, 5 (2-4). pp. 69-87.

Sekimura, T. and Roose, T. and Li, B. and Maini, P. K. and Hara, T. (2000) The effect of population density on shoot morphology of herbs in relation to light capture by leaves. Ecological Modelling, 128 (1). pp. 51-62.

Sekimura, T. and Zhu, M. and Cook, J. and Maini, P. K. (1999) Pattern formation of scale cells in Lepidoptera by differential origin-dependent cell adhesion. Bulletin of Mathematical Biology, 61 (5). pp. 807-827.

Sherratt, J. A. and Dallon, J. C. and Hofer, T. and Maini, P. K. (1999) Mathematical modelling of signalling in Dictyostelium discoideum. In: Microbial Signalling and Communication. n/a, n/a . Cambridge University Press, United Kingdom, pp. 241-254.

Sherratt, J. A. and Lewis, M. A. and Fowler, A. C. (1995) Ecological chaos in the wake of invasion. Proc. Natl. Acad. Sci. USA, 92 . pp. 2524-2528.

Sherratt, J. A. and Maini, P. K. and Jager, W. and Muller, W. A. (1995) A receptor based model for pattern formation in Hydra. FORMA, 10 (2). pp. 77-95.

Shum, H and Gaffney, E. A. and Smith, D J (2010) Modelling bacterial behaviour close to a no-slip plane boundary: the influence of bacterial geometry. Proceedings of the Royal Society of London A, 466 (8). pp. 1725-1748. ISSN 1364-5021

Shvartsman, S Y and Baker, R. E. (2012) Mathematical models of morphogen gradients and their effects on gene expression. Wires Developmental Biology .

Simpson, M J and Baker, R. E. (2011) Correcting mean-field approximations for spatially-dependent advection-diffusion-reaction processes. Physical Review E, 82 (4). 041905.

Simpson, M J and Baker, R. E. and McCue, S. W. (2011) Models of collective cell spreading with variable cell aspect ration: a motivation for degenerate diffusion models. Physical Review E, 83 (2). 021901. ISSN 1063-651X

Singer, A and Erban, R. and Kevrekidis, I. G. and Coifman, R (2009) Detecting intrinsic slow variables in stochastic dynamical systems by anisotropic diffusion maps. Proceedings of the National Academy of Sciences, 106 (38). pp. 16090-16095. ISSN 1091-6490

Smallbone, K. (2007) The role of acidity in tumour development. PhD thesis, University of Oxford.

Smallbone, K. and Gatenby, R. A. and Gillies, R. J. and Maini, P. K. and Gavaghan, D. J. (2007) Metabolic changes during carcinogenesis: Potential impact on invasiveness. Journal of Theoretical Biology, 244 (4). pp. 703-713.

Smallbone, K. and Gatenby, R. A. and Maini, P. K. (2008) Mathematical modelling of tumour acidity. Journal of Theoretical Biology, 255 (1). pp. 106-112.

Smallbone, K. and Gavaghan, D. J. and Gatenby, R. A. and Maini, P. K. (2005) The role of acidity in solid tumour growth and invasion. Journal of Theoretical Biology, 235 (4). pp. 476-484.

Smallbone, K. and Gavaghan, D. J. and Maini, P. K. and Brady, J. M. (2007) Quiescience as a mechanism for cyclical hypoxia and acidosis. Journal of Mathematical Biology, 55 (5-6). pp. 767-779. ISSN n/a

Smallbone, K. and Maini, P. K. and Gatenby, R. A. (2010) Episodic, transient systemic acidosis delays evolution of the malignant phenotype: Possible mechanism for cancer prevention by increased physical activity. Biology Direct, 5 (22). pp. 1-8.

Smith, A M and Baker, R. E. and Kay, D. and Maini, P. K. (2012) Incorporating chemical signalling factors into cell-based models of growing epithelial tissues. Journal of Mathematical Biology, 65 (3). pp. 441-463.

Smith, D J and Gaffney, E. A. and Blake, J R (2007) Discrete cilia modelling with singularity distributions. Bulletin of Mathematical Biology, 69 (5). pp. 1477-1510. ISSN n/a

Smith, D J and Gaffney, E. A. and Blake, J R (2008) Fluid mechanics of nodal flow due to embryonic primary cilia. Journal of the Royal Society Interface, 5 (22). pp. 567-573.

Smith, D J and Gaffney, E. A. and Blake, J R (2009) Mathematical modelling of cilia driven transport of biological fluids. Proceedings of Royal Society of London A, 465 (2108). pp. 2417-2439. ISSN 2006-1751

Smith, D J and Gaffney, E. A. and Blake, J R (2007) A model of tracer transport in airway surface liquid. Bulletin of Mathematical Biology, 69 (3). pp. 817-836.

Smith, D J and Gaffney, E. A. and Blake, J R (2008) Modelling mucociliary clearance. Respiratory Physiology & Neurobiology, 163 (1-3). pp. 178-188.

Smith, D J and Gaffney, E. A. and Blake, J R and Kirkman-Brown, J C (2009) Human sperm accumulation near surfaces: a simulation study. Journal of Fluid Mechanics, 621 (4). pp. 289-320.

Smith, D J and Gaffney, E. A. and Blake, J R and Lubkin, D J (2007) A viscoelastic traction layer model of mucociliary flow. Bulletin of Mathematical Biology, 69 (1). pp. 289-327. ISSN 0092-8240

Smith, D J and Gaffney, E. A. and Gadelha, H and Kapur, N and Kirkman-Brown, J C (2009) Bend propagation in the flagella of migrating human sperm. Cell Motility & the Cytoskeleton, 66 (4). pp. 220-336.

Smith, G. D. and Shaw, L. J. and Maini, P. K. and Ward, R. J. and Peters, T. J. and Murray, J. D. (1993) Mathematical modelling of ethanol metabolism in normal subjects and chronic alcohol misusers. Alcohol and Alcoholism, 28 (1). pp. 25-32. ISSN 0735-0414/93

Soto, A M and Sonnenschein, C and Maini, P. K. (2011) Systems biology and cancer, [Editorial]. Progress in Biophysics & Molecular Biology, 106 (2). pp. 337-339.

Stamper, I. J. and Byrne, H. M. and Maini, P. K. (2007) Modelling the role of angiogenesis and vasculogenesis in solid tumuour growth. Bulletin of Mathematical Biology, 69 (8). pp. 2737-2772. ISSN n/a

Stamper, I. J. and Owen, M. R. and Maini, P. K. and Byrne, H. M. (2010) Oscillatory dynamics in a model of vascular tumour growth -- implications for chemotherapy. Biology Direct, 5 (27). pp. 1-17.

Stoye, S and Porter, M A and Dawkins, M S (2012) Synchronized lying in cattle in relation to time of day. Livestock Science, 149 (1-2). pp. 70-73.

Sun, J and Bollt, E M and Porter, M A and Dawkins, M S (2011) A mathematical model for the dynamics and synchronization of cows. Physica D, 240 (19). pp. 1497-1509.

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Thomas, R. D. K. and Madzvamuse, A. and Maini, P. K. and Wathen, A. J. (2000) Growth patterns of noetiid ligaments: implications of developmental models for the origin of an evolutionary novelty among arcoid bivalves,. Evolutionary Biology of the Bivalvia, 177 . pp. 279-289. ISSN 1-86239-076-2

Thompson, R and Yates, C. A. and Baker, R. E. (2012) Modelling cell migration and adhesion during development. Bulletin of Mathematical Biology, 74 (12). pp. 2793-2809.

Tindall, M. J. and Dyson, L and Smallbone, K. and Maini, P. K. (2012) Modelling acidosis and the cell cycle in multicellular tumour spheroids. Journal of Theoretical Biology, 298 (1). pp. 107-115.

Tindall, M. J. and Gaffney, E. A. and Maini, P. K. and Armitage, J. P. (2012) Theoretical insights into bacterial chemotaxis. WIREs System Biology Med, 4 (3). pp. 247-259.

Tindall, M. J. and Maini, P. K. and Armitage, J. P. and Singleton, C. and Mason, A. (2008) Intracellular signalling during bacterial chemotaxis. In: Practical Systems Biology,. SEB Experimental Biology Series, 61 (8). Taylor & Francis Group, Abingdon, UK, pp. 161-174. ISBN 13: 9780415407809

Tindall, M. J. and Porter, S. L. and Maini, P. K. and Armitage, J. P. (2010) Modeling chemotaxis reveals the role of reversed phosphotransfer & a bi-functional kinase-phosphatase. PLO Computational Biology, 6 (8). 10 pages.

Tindall, M. J. and Porter, S. L. and Maini, P. K. and Gaglia, G. and Armitage, J. P. (2008) Overview of mathematical approaches used to model bacterial chemotaxis I: the single cell. Bulletin of Mathematical Biology, 70 (6). pp. 1525-1569.

Tindall, M. J. and Porter, S. L. and Maini, P. K. and Gaglia, G. and Armitage, J. P. (2008) Overview of mathematical approaches used to model bacterial chemotaxis II: bacterial populations. Bulletin of Mathematical Biology, 70 (6). pp. 1570-1607.

Tindall, M. J. and Porter, S. L. and Wadhams, G H and Maini, P. K. and Armitage, J. P. (2009) Spatiotemporal modelling of CheY complexes in escherichia coli chemotaxis. Progress in Biophysics Molecular Biology, 100 (1-3). pp. 40-46.

Trichas, G and Smith, A M and White, N and Wilkins, V and Watanabe, T and Moore, A and Joyce, B and Sugnaseelan, J and Rodriguez, T A and Kay, David and Baker, R. E. and Maini, P. K. and Srinivas, S (2012) Multi-cellular Rosettes in the mouse visceral endoderm facilitate the ordered migration of anterior visceral endoderm cells. PLos Biology, 10 (2). pp. 1-14.

Tsanas, A and Little, M A and Fox, C and Ramig, L O (2014) Objective automatic assessment of rehabilitative speech treatment in Parkinson's disease. IEE Transactions on Neural Systems and Rehabilitation Engineering, 22 (1). pp. 181-190.

Twomey, Aidan (2007) On the stochastic modelling of reaction-diffusion processes. Masters thesis, University of Oxford.

V

van Leeuwen, I. M. M. and Byrne, H. M. and Johnston, M. D. and Edwards, C. M. and Chapman, S. J. and Bodmer, W. F. and Maini, P. K. (2008) Modelling multiscale aspects of colorectal cancer. AIP Conference Proceedings, 971 (1). pp. 3-7.

van Leeuwen, I. M. M. and Mirams, G R and Walter, A and Fletcher, A G and Murray, P J and Osbourne, J and Varma, S and Young, S J and Cooper, J and Doyle, B and Pitt-Francis, J and Momtahan, L and Pathmanathan, P. and Whiteley, J. P. and Chapman, S. J. and Gavaghan, D. J. and Jensen, O E and King, J. R. and Maini, P. K. and Waters, S. L. and Byrne, H. M. (2009) An integrative computational model for intestinal tissue renewal. Cell Proliferation, 42 (5). pp. 617-636.

Vaughan, JR., B. and Baker, R. E. and Kay, D. and Maini, P. K. (2013) A modified Oster-Murray-Harris mechanical model of morphogenesis. Siam Journal of Applied Mathematics, 73 (6). pp. 2124-2142.

Venkatarman, C and Sekimura, T. and Gaffney, E. A. and Maini, P. K. (2011) Modeling parr-mark pattern formation during the early development of Amago trout. Physical Review E, 84 (4). 041923-1-049123-13. ISSN 1063-651X

Verhaegen, P D H M and Van Marle, J and Kuehne, A and Schouten, H J and Gaffney, E. A. and Maini, P. K. and Middlelkoop, E and Van Zuijlen, P P M (2012) Collagen bundle morphometry in skin & scar tissue: a novel distance mapping method provides superior measurements compared to Fourier analysis. Journal of Microscopy, 245 (1). pp. 82-89.

Vincent, J P and Fletcher, A G and Baena-Lopez, L A (2013) Mechanisms and mechanics of cell competition in epithelia. Nature Review Molecular Cellular Biology, 14 (9). pp. 581-591.

W

Ward, M. J. and McInerney, D. and Houston, P. and Gavaghan, D. J. and Maini, P. K. (2002) The dynamics and pinning of a spike for a reaction-diffusion system. SIAM Journal of Applied Maths, 62 (4). pp. 1297-1328.

White, S M and Burden, J P and Maini, P. K. and Hails, R S (2012) Modelling the within-host growth of viral infections in insects. Journal of Theoretical Biology, 312 (7). pp. 34-43.

Whittaker, Robert J and Booth, Richard and Dyson, Rosemary and Bailey, Clare and Chini, Louise Parsons and Naire, Shailesh and Payvandi, Sevil and Rong, Zimei and Woollard, Hannah and Cummings, Linda J and Waters, Sarah L and Mawasse, Lina and Chaudhuri, Julian B and Ellis, Marianne J and Michael, Vipin and Kuiper, Nicola J and Cartmell, Sarah (2009) Mathematical modelling of fibre-enhanced perfusion inside
a tissue-engineering bioreactor.
Journal of Theoretical Biology .

Widelitz, R. B. and Baker, Ruth E. and Plikus, M. V. and Lin, C. and Maini, P. K. and Paus, R. and Chuong, C. M. (2006) Distinct mechanisms underlie pattern formation in the skin and skin appendages. Birth Defects Research (Part C),, 78 (3). pp. 280-291.

Winters, K. H. and Myerscough, M. R. and Maini, P. K. and Murray, J. D. (1991) Tracking bifurcating solutions of a model biological pattern generator. Impact of Computing in Science and Engineering, 2 (4). pp. 355-371.

Wirth, Benedikt (2005) A mathematical model for hydrocephalus. Masters thesis, University of Oxford.

Wolkenhauer, O and Auffray, C and Brass, O and Clairambault, J and Deutsch, A and Drasdo, D and Gervasion, F and Preziosi, L. and Marciniak-Czochra, A and Kossow, C and Kuepfer, L and Rateitschak, K and Ramis-Conde, I and Ribba, B. and Schuppert, A and Smallwood, R and Stamatakos, G and Winter, F and Byrne, H M (2014) Enabling multiscale modeling in systems medicine. Genome Medicine, 6 . 21-(3 pages).

Wood, T and Yates, C A and Wilkinson, D and Rosser, G (2012) Simplified multitarget tracking using the PHD filter for microscopic video data. IEE Transactions on Circuits and Systems for Video Technology, 22 (5). pp. 702-713.

Woolley, T. E. and Baker, R. E. and Gaffney, E. A. and Maini, P. K. (2011) Power spectra methods for a stochastic description of diffusion on deterministically growing domains. Physical Review E, 84 (2). 021915-1-021915-15. ISSN 1063-651X

Woolley, T. E. and Baker, R. E. and Gaffney, E. A. and Maini, P. K. and Seirin Lee, S (2012) Effects of intrinsic stochasticity on delayed reaction-diffusion patterning systems. Physical Review E, 85 (5). 051914-1-051914-14. ISSN 1539-3755

Woolley, T. E. and Baker, R. E. and Maini, P. K. and Aragón, J. L. and Barrio, R. A. (2010) Analysis of stationary droplets in a generic Turing reaction-diffusion system. Physical Review E, 82 (5). ISSN 1063-651X

Woolley, T E and Baker, R. E. and Gaffney, E. A. and Maini, P. K. (2014) How long can we survive? In: In Mathematical Modelling of Zombies. University of Ottawa Press, Ottawa, pp. 93-115. ISBN ISBN 978-0-7766-2168-5

Woolley, T E and Baker, R. E. and Tickle, C and Maini, P. K. and Towers, M (2014) Mathematical modelling of digit specification by a sonic hedgehog gradient. Developmental Dynamics, 243 (2). pp. 290-298.

Woolley, T. E. and Baker, Ruth E. and Gaffney, E. A. and Maini, P. K. (2011) Influence of stochastic domain growth on pattern nucleation for diffusive systems with internal noise. Physical Review E, 84 (4). 041905-1. ISSN 1063-651X

Woolley, T E and Maini, P. K. and Gaffney, E. A. (2014) Is pigment cell pattern formation in zebrafish a game of cops and robbers? Pigment Cell & Melanoma Research, 27 (5). pp. 686-687.

Woolley , T. E. and Baker, R. E. and Gaffney, E. A. and Maini, P. K. (2011) Stochastic reaction & diffusion on growing domains: understanding the breakdown of robust pattern formation. Physical Review E, 84 (4). 046216-1. ISSN 1063-651X

Wymbs, N F and Bassett, D S and Mucha, P J and Porter, M A and Grafton, S T (2012) Differential recruitment of the sensorimotor putamen and frontoparietal cortex during motor chunking in humans. Neuron, 74 (5). pp. 936-946.

Y

Yamada, H. and Nakagaki, T. and Baker, Ruth E. and Maini, P. K. (2007) Dispersion relation in oscillatory reaction-diffusion systems with self-consistent flow in true slime mold. Journal of Mathematical Biology, 54 (6). pp. 745-760.

Yates, C A and Baker, R E (2013) Isotropic model for cluster growth on a regular lattice. Physical Review E , 88 (2). 023304.

Yates, C A and Baker, R. E. (2013) The importance of the Voronoi domain partition for position-jump reaction-diffusion processes on non-uniform rectilinear lattices. Physical Review E, 88 (5). 05471.

Yates, C A and Klingbeil, G. (2013) Recycling random numbers in the stochastic simulation algorithm. Journal of Chemical Physics, 138 (9). 094103.

Yates, C. A. and Baker, R. E. and Erban, R. and Maini, P. K. (2012) Going from microscopic to macroscopic on nonuniform growing domains. Physical Review E, 86 (2). 021921-1-02921-20.

Yates, C. A. and Baker, R. E. and Erban, R. and Maini, P. K. (2010) Refining self-propelled particle models for collective behaviour,. Canadian Applied Mathematics Quarterly, 18 (3). pp. 299-350.

Yates, C. A. and Burrage, K. (2011) Look before you leap: a confidence-based method for selecting species criticality while avoiding negative populations in $\tau$-leaping. The Journal of Chemical Physics, 134 (8). 084109-1.

Yates, C. A. and Erban, R. and Escudero, C. and Couzin, I. D. and Buhl, J. and Kevrekidis, I. G. and Maini, P. K. and Sumpter, D. J. T. (2009) Inherent noise can facilitate coherence in collective swarm motion. PNAS, 106 (14). pp. 5464-5469.

Z

Zhang, L. and Aguilar-Roblero, R. and Barrio, R. A. and Maini, P. K. (1995) Rhythmic firing patterns in SCN: The role of circuit interactions. International Journal of Bio-Medical Computing, 38 (1). pp. 23-31.

Zubkov, V S and Breward, C J W and Gaffney, E A (2013) Meniscal fluid dynamics near Marx's line. Bulletin of Mathematical Biology, 75 (9). pp. 1524-1543. ISSN n/a

This list was generated on Thu Dec 18 07:11:50 2014 GMT.