The Mathematical Institute, University of Oxford, Eprints Archive

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Number of items: 407.

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.

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.

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.

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 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.

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.

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.

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.

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

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.

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

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).

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.

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.

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).

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.

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.

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

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.

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).

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.

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.

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.

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

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.

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.

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 and mechanism of adult skeletal
muscle stem cell migration.
Stem Cells .

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.

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.

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

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.

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.

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

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.

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

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

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.

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.

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.

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

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.

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.

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).

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.

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.

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.

Aragón, J. L. and Barrio, R. A. and Woolley, T. E. and Baker, R. E. and Maini, P. K. (2012) Non-linear effects on Turing patterns: time oscillations and chaos. Physical Review Letters . (Submitted)

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

Connor, A. J. and Cooper, J. and Byrne, H. M. and Maini, P. K. and McKeever, S. (2012) Object-Oriented Paradigms for Modelling Vascular
Tumour Growth: a Case Study.
In: SIMUL2012. (Submitted)

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.

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.

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

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.

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.

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

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. 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.

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).

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

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.

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

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.

Murphy, K. E. and Hall, C. L. and Maini, P. K. and McCue, S. W. and McElwain, D. L. S. (2011) A fibrocontractive mechanochemical model of dermal wound
closure incorporating realistic growth factor kinetics.
Bulletin of Mathematical Biology . (Submitted)

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

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.

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.

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

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.

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

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.

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

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.

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.

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.

Murphy, K. E. and Hall, C. L. and Maini, P. K. and McCue, S. W. and McElwain, D. L. S. (2011) A two-compartment mechanochemical model of the roles of
transforming growth factor β and tissue tension in dermal wound healing.
Journal of Theoretical Biology . (Submitted)

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

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 .

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.

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.

Klingbeil, G. and Erban, R. and Giles, M. B. and Maini, P. K. (2010) Fat vs. thin threading approach on GPUs: application to stochastic simulation of chemical reactions. IEEE Transactions on Parallel & Distributed Systems . (Submitted)

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.

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

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.

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.

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.

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.

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.

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.

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.

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.

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

Klingbeil, G. and Erban, R. and Giles, M. B. and Maini, P. K. (2010) STOCHSIMGPU Parallel stochastic simulation for the Systems
Biology Toolbox 2 for MATLAB.
Bioinformatics . (Submitted)

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.

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.

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.

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.

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.

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 Whiteley, J. P. and Byrne, H. M. and Gavaghan, D. J. (2009) Chaste: a test-driven approach to software development for physiological modelling. Not specified . (Submitted)

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.

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.

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.

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. Not specified . (Submitted)

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.

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.

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 .

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.

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.

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

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.

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.

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.

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.

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.

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.

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

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.

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

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.

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

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.

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

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.

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.

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.

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.

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.

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.

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.

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

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

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.

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

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.

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

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.

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

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

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.

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.

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.

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.

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

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.

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

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

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.

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.

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

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

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.

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

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.

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

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

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

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 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

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.

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

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.

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.

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.

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.

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.

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.

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

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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

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.

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.

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

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.

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

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.

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.

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.

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.

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.

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.

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.

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.

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.

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

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

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.

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

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.

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

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.

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.

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.

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

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

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.

Madzvamuse, A. and Maini, P. K. and Wathen, A. J. (2004) A moving grid finite element method for the simulation of pattern generation by Turing models on growing domains. Technical Report. Unspecified. (Submitted)

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.

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.

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

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.

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.

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.

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.

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.

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.

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.

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.

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.

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

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)

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.

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.

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.

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.

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

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.

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

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 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.

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.

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.

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.

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.

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)

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)

Madzvamuse, A. and Thomas, R. D. K. and Sekimura, T. and Wathen, A. J. and Maini, P. K. (2002) The moving grid finite element method applied to biological problems. Technical Report. Unspecified. (Submitted)

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)

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)

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.

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.

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.

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

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.

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.

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.

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

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.

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.

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.

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

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.

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.

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

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.

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.

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.

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)

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.

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.

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.

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.

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.

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.

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.

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.

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.

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)

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.

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.

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.

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

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.

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.

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.

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.

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

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

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

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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

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.

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.

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.

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

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

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.

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.

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.

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.

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.

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

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.

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.

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

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.

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.

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.

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

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

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

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.

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.

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.

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 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.

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.

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

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

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

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

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.

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

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

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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

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.

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.

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.

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

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.

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

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.

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.

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.

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.

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

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. 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 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.

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.

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.

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

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

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

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

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

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.

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.

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.

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

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.

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.

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

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.

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.

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.

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.

This list was generated on Mon Oct 20 10:32:52 2014 BST.