Kevin Painter
Kevin Painter
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A user’s guide to PDE models for chemotaxis
T Hillen, KJ Painter
Journal of Mathematical Biology 58 (1), 183-217, 2009
Volume-filling and quorum-sensing in models for chemosensitive movement
KJ Painter, T Hillen
Canadian Applied Mathematics Quarterly 10 (4), 501-543, 2002
Spatial pattern formation in chemical and biological systems
PK Maini, KJ Painter, HNP Chau
J. Chem. Soc., Faraday Trans. 93 (20), 3601-3610, 1997
Global existence for a parabolic chemotaxis model with prevention of overcrowding
T Hillen, K Painter
Advances in Applied Mathematics 26 (4), 280-301, 2001
A continuum approach to modelling cell-cell adhesion
NJ Armstrong, KJ Painter, JA Sherratt
Journal of Theoretical Biology 243 (1), 98-113, 2006
Stripe formation in juvenile Pomacanthus explained by a generalized Turing mechanism with chemotaxis
KJ Painter, PK Maini, HG Othmer
Proceedings of the National Academy of Sciences 96 (10), 5549-5554, 1999
Spatio-temporal chaos in a chemotaxis model
KJ Painter, T Hillen
Physica D: Nonlinear Phenomena 240 (4-5), 363-375, 2011
Mathematical modelling of glioma growth: the use of diffusion tensor imaging (DTI) data to predict the anisotropic pathways of cancer invasion
KJ Painter, T Hillen
Journal of theoretical biology 323, 25-39, 2013
Modelling the movement of interacting cell populations
KJ Painter, JA Sherratt
Journal of Theoretical Biology 225 (3), 327-339, 2003
Modelling cell migration strategies in the extracellular matrix
KJ Painter
Journal of mathematical biology 58, 511-543, 2009
Mathematical models for chemotaxis and their applications in self-organisation phenomena
KJ Painter
Journal of theoretical biology 481, 162-182, 2019
Convergence of a cancer invasion model to a logistic chemotaxis model
T Hillen, KJ Painter, M Winkler
Mathematical Models and Methods in Applied Sciences 23 (01), 165-198, 2013
Continuous models for cell migration in tissues and applications to cell sorting via differential chemotaxis
KJ Painter
Bulletin of Mathematical Biology 71, 1117-1147, 2009
Cryptic patterning of avian skin confers a developmental facility for loss of neck feathering
C Mou, F Pitel, D Gourichon, F Vignoles, A Tzika, P Tato, L Yu, DW Burt, ...
PLoS biology 9 (3), e1001028, 2011
Development and applications of a model for cellular response to multiple chemotactic cues
KJ Painter, PK Maini, HG Othmer
Journal of Mathematical Biology 41 (4), 285-314, 2000
From a discrete to a continuous model of biological cell movement
S Turner, JA Sherratt, KJ Painter, NJ Savill
Physical Review E 69 (2), 021910, 2004
The impact of adhesion on cellular invasion processes in cancer and development
KJ Painter, NJ Armstrong, JA Sherratt
Journal of theoretical biology 264 (3), 1057-1067, 2010
Hierarchical patterning modes orchestrate hair follicle morphogenesis
JD Glover, KL Wells, F Matthäus, KJ Painter, W Ho, J Riddell, ...
PLoS biology 15 (7), e2002117, 2017
Global existence for chemotaxis with finite sampling radius
T Hillen, K Painter, C Schmeiser
Discrete and Continuous Dynamical Systems Series B 7 (1), 125, 2007
Pattern formation in a generalized chemotactic model
MR Myerscough, PK Maini, KJ Painter
Bulletin of Mathematical Biology 60 (1), 1-26, 1998
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