Kevin J Painter

Summary

Affiliation: Heriot-Watt University
Country: UK

Publications

  1. doi request reprint Continuous models for cell migration in tissues and applications to cell sorting via differential chemotaxis
    Kevin 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 71:1117-47. 2009
  2. doi request reprint The impact of adhesion on cellular invasion processes in cancer and development
    Kevin 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 264:1057-67. 2010
  3. ncbi request reprint From a discrete to a continuous model of biological cell movement
    Stephen 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
  4. pmc A continuum approach to modelling cell-cell adhesion
    Nicola J Armstrong
    Department of Mathematics, Heriot Watt University, Edinburgh, EH14 4AS, UK
    J Theor Biol 243:98-113. 2006
  5. doi request reprint Adding adhesion to a chemical signaling model for somite formation
    Nicola 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 71:1-24. 2009
  6. ncbi request reprint Modelling the movement of interacting cell populations
    Kevin J Painter
    Department of Mathematics, Centre for Theoretical Modelling in Medicine, Heriot Watt University, Edinburgh EH14 4AS, UK
    J Theor Biol 225:327-39. 2003

Detail Information

Publications6

  1. doi request reprint Continuous models for cell migration in tissues and applications to cell sorting via differential chemotaxis
    Kevin 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 71:1117-47. 2009
    ..These new phenomena include temporal dynamics consisting of a traveling wave composed of spatially sorted subpopulations reminiscent of Dictyostelium slugs...
  2. doi request reprint The impact of adhesion on cellular invasion processes in cancer and development
    Kevin 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 264:1057-67. 2010
    ....
  3. ncbi request reprint From a discrete to a continuous model of biological cell movement
    Stephen 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...
  4. pmc A continuum approach to modelling cell-cell adhesion
    Nicola J Armstrong
    Department of Mathematics, Heriot Watt University, Edinburgh, EH14 4AS, UK
    J Theor Biol 243:98-113. 2006
    ..While cell sorting behaviour has been captured previously with discrete approaches, it has not, until now, been observed with a fully continuous model...
  5. doi request reprint Adding adhesion to a chemical signaling model for somite formation
    Nicola 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 71:1-24. 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...
  6. ncbi request reprint Modelling the movement of interacting cell populations
    Kevin J Painter
    Department of Mathematics, Centre for Theoretical Modelling in Medicine, Heriot Watt University, Edinburgh EH14 4AS, UK
    J Theor Biol 225:327-39. 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...