The Mathematical Institute, University of Oxford, Eprints Archive

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Number of items: 33.

Article

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.

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.

Kershaw, S. K. and Byrne, H. M. and Gavaghan, D. J. and Osborne, J. M. (2012) Colorectal Cancer Through Simulation and Experiment. IET Systems Biology . (Submitted)

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.

Davit, Y. and Byrne, H. M. and Osborne, J. M. and Pitt-Francis, J. M. and Gavaghan, D. J. and Quintard, M. (2012) Solute transport within porous biofilms: diffusion or dispersion? Physical Review E . (Submitted)

Davit, Y. and Osborne, J. M. and Byrne, H. M. and Gavaghan, D. J. and Pitt-Francis, J. M. (2012) Validity of the Cauchy-Born rule applied to discrete cellular-scale models of biological tissues. Physical Review E . (Submitted)

Pathmanathan, P. and Chapman, S. J. and Gavaghan, D. J. and Whiteley, J. P. (2010) Cardiac Electromechanics: The effect of contraction model on the mathematical problem and accuracy of the numerical scheme. Quaterly Journal of Mechanics and Applied Mathematics . (Submitted)

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

Pathmanathan, P. and Bernabeu, M O and Bordas, R. and Cooper, J and Garny, A. and Pitt-Francis, J. M. and Whiteley, J. P. and Gavaghan, D. J. (2010) A numerical guide to the solution of the bidomain equations of
cardiac electrophysiology.
Progress in Biophysics and Molecular Biology, 102 (No. 2-3). pp. 136-155.

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)

Pathmanathan, P. and Whiteley, J. P. and Gavaghan, D. J. (2009) A Comparison of Numerical Methods used for
Finite Element Modelling of Soft Tissue
Deformation.
Not specified . (Submitted)

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 .

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 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

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

Technical Report

Harriman, Kathryn and Gavaghan, D. J. and Suli, Endre (2004) Application of hpDGFEM to mechanisms at channel microband electrodes. Technical Report. Unspecified. (Submitted)

Harriman, Kathryn and Gavaghan, D. J. and Suli, Endre (2004) Approximation of linear functionals using an hp-adaptive discontinuous Galerkin finite element method. Technical Report. Unspecified. (Submitted)

Harriman, Kathryn and Gavaghan, D. J. and Suli, Endre (2004) Finite element solution of a membrane covered electrode problem. Technical Report. Unspecified. (Submitted)

Harriman, Kathryn and Gavaghan, D. J. and Suli, Endre (2004) The importance of adjoint consistency in the approximation of linear functionals using the discontinuous Galerkin finite element method. Technical Report. Unspecified. (Submitted)

Harriman, Kathryn and Gavaghan, D. J. and Houston, P. and Kay, David and Suli, Endre (2000) Adaptive Finite Element Simulation of Currents at Microelectrodes to a Guaranteed Accuracy. Application to Channel Microband Electrodes. Technical Report. Unspecified. (Submitted)

Harriman, Kathryn and Gavaghan, D. J. and Houston, P. and Suli, Endre (1999) Adaptive Finite Element Simulation of Steady State Currents at Microdisc Electrodes to a Guaranteed Accuracy. Technical Report. Unspecified. (Submitted)

This list was generated on Thu Apr 24 13:24:56 2014 BST.