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 Kevin J PainterSummaryAffiliation: HeriotWatt University Country: UK Publications
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Publications
 Continuous models for cell migration in tissues and applications to cell sorting via differential chemotaxisKevin J Painter
Department of Mathematics and Maxwell Institute for Mathematical Sciences, School of Mathematical and Computer Sciences, Heriot Watt University, Edinburgh, EH14 4AS, UK
Bull Math Biol 71:111747. 2009..These new phenomena include temporal dynamics consisting of a traveling wave composed of spatially sorted subpopulations reminiscent of Dictyostelium slugs...  The impact of adhesion on cellular invasion processes in cancer and developmentKevin J Painter
Department of Mathematics and the Maxwell Institute for Mathematical Sciences, School of Mathematical and Computer Sciences, Heriot Watt University, Edinburgh EH14 4AS, UK
J Theor Biol 264:105767. 2010....  From a discrete to a continuous model of biological cell movementStephen Turner
Centre for Theoretical Modelling in Medicine, Department of Mathematics, Heriot Watt University, Edinburgh EH14 4AS, Scotland
Phys Rev E Stat Nonlin Soft Matter Phys 69:021910. 2004..In so doing we develop some insights into how continuous models of physical systems can be based upon discrete models which describe the same system...  A continuum approach to modelling cellcell adhesionNicola J Armstrong
Department of Mathematics, Heriot Watt University, Edinburgh, EH14 4AS, UK
J Theor Biol 243:98113. 2006..While cell sorting behaviour has been captured previously with discrete approaches, it has not, until now, been observed with a fully continuous model...  Adding adhesion to a chemical signaling model for somite formationNicola J Armstrong
Department of Mathematics and the Maxwell Institute for Mathematical Sciences, School of Mathematical and Computer Sciences, Heriot Watt University, Edinburgh, EH14 4AS, UK
Bull Math Biol 71:124. 2009..Moreover, a further extension of the model to include separate subpopulations of cells is able to reproduce the observed differentiation of the somite into separate anterior and posterior halves...  Modelling the movement of interacting cell populationsKevin J Painter
Department of Mathematics, Centre for Theoretical Modelling in Medicine, Heriot Watt University, Edinburgh EH14 4AS, UK
J Theor Biol 225:32739. 2003..We illustrate the models we have developed via two examples. The first of these is a generic model for competing cell populations, and the second concerns aggregation in cell populations moving in response to chemical gradients...