## Research Topics- dictyostelium
- body patterning
- morphogenesis
- chemotaxis
- cell movement
- extracellular fluid
- energy transfer
- diffusion
- statistical models
- computer simulation
- cell proliferation
- algorithms
- extracellular matrix
- neoplasms
- neoplasm invasiveness
- cell adhesion
- second messenger systems
- cell aggregation
- somites
- embryonic induction
- probability
- cell communication
| ## Kevin J Painter## SummaryAffiliation: Heriot-Watt University Country: UK ## 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*71:1117-47. 2009 - 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*264:1057-67. 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 - A continuum approach to modelling cell-cell adhesionNicola J Armstrong
Department of Mathematics, Heriot Watt University, Edinburgh, EH14 4AS, UK*J Theor Biol*243:98-113. 2006 - 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*71:1-24. 2009 - Spatio-temporal Models of Lymphangiogenesis in Wound HealingArianna Bianchi
Department of Mathematics and Maxwell Institute for Mathematical Sciences, Heriot Watt University, Edinburgh, EH14 4AS, Scotland, UK*Bull Math Biol*78:1904-1941. 2016 - A mathematical model for lymphangiogenesis in normal and diabetic woundsArianna Bianchi
Department of Mathematics and Maxwell Institute for Mathematical Sciences, Heriot Watt University, Edinburgh, Scotland, EH14 4AS, UK Electronic address*J Theor Biol*383:61-86. 2015 - 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*225:327-39. 2003
| ## Collaborators |

## Detail Information

### 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*71:1117-47. 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*264:1057-67. 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 cell-cell adhesionNicola 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... - 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*71:1-24. 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... - Spatio-temporal Models of Lymphangiogenesis in Wound HealingArianna Bianchi

Department of Mathematics and Maxwell Institute for Mathematical Sciences, Heriot Watt University, Edinburgh, EH14 4AS, Scotland, UK*Bull Math Biol*78:1904-1941. 2016..The models are then solved numerically and the results are compared with the available biological literature... - A mathematical model for lymphangiogenesis in normal and diabetic woundsArianna Bianchi

Department of Mathematics and Maxwell Institute for Mathematical Sciences, Heriot Watt University, Edinburgh, Scotland, EH14 4AS, UK Electronic address*J Theor Biol*383:61-86. 2015..It is hoped the findings of this paper may be considered in the development of future experiments investigating novel lymphangiogenic therapies. .. - 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*225:327-39. 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...