A user’s guide to PDE models for chemotaxis T Hillen, KJ Painter Journal of Mathematical Biology 58 (1), 183-217, 2009 | 1741 | 2009 |
Volume-filling and quorum-sensing in models for chemosensitive movement KJ Painter, T Hillen Canadian Applied Mathematics Quarterly 10 (4), 501-543, 2002 | 683 | 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 | 415 | 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 | 387 | 2001 |
A continuum approach to modelling cell-cell adhesion NJ Armstrong, KJ Painter, JA Sherratt Journal of Theoretical Biology 243 (1), 98-113, 2006 | 383 | 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 | 300 | 1999 |
Spatio-temporal chaos in a chemotaxis model KJ Painter, T Hillen Physica D: Nonlinear Phenomena 240 (4-5), 363-375, 2011 | 218 | 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 | 177 | 2013 |
Modelling the movement of interacting cell populations KJ Painter, JA Sherratt Journal of Theoretical Biology 225 (3), 327-339, 2003 | 160 | 2003 |
Modelling cell migration strategies in the extracellular matrix KJ Painter Journal of mathematical biology 58, 511-543, 2009 | 149 | 2009 |
Mathematical models for chemotaxis and their applications in self-organisation phenomena KJ Painter Journal of theoretical biology 481, 162-182, 2019 | 131 | 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 | 130 | 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 | 124 | 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 | 122 | 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 | 121* | 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 | 117 | 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 | 115 | 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 | 113 | 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 | 113 | 2007 |
Pattern formation in a generalized chemotactic model MR Myerscough, PK Maini, KJ Painter Bulletin of Mathematical Biology 60 (1), 1-26, 1998 | 110 | 1998 |