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
Modelling the movement of interacting cell populations
KJ Painter, JA Sherratt
Journal of Theoretical Biology 225 (3), 327-339, 2003
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 cell migration strategies in the extracellular matrix
KJ Painter
Journal of mathematical biology 58 (4), 511-543, 2009
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
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
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
Pattern formation in a generalized chemotactic model
MR Myerscough, PK Maini, KJ Painter
Bulletin of Mathematical Biology 60 (1), 1-26, 1998
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
Continuous models for cell migration in tissues and applications to cell sorting via differential chemotaxis
KJ Painter
Bulletin of Mathematical Biology 71 (5), 1117, 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
A nonlocal model for contact attraction and repulsion in heterogeneous cell populations
KJ Painter, JM Bloomfield, JA Sherratt, A Gerisch
Bulletin of mathematical biology 77 (6), 1132-1165, 2015
A chemotactic model for the advance and retreat of the primitive streak in avian development
KJ Painter, PK Maini, HG Othmer
Bulletin of Mathematical Biology 62 (3), 501-525, 2000
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