Monte Carlo approach to tissue-cell populations
- 1 December 1995
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 52 (6) , 6635-6657
- https://doi.org/10.1103/physreve.52.6635
Abstract
We describe a stochastic dynamics of tissue cells with special emphasis on epithelial cells and fibro- blasts and fibrocytes of the connective tissue. Pattern formation and growth characteristics of such cell populations in culture are investigated numerically by Monte Carlo simulations for quasi-two-dimensional systems of cells. A number of quantitative predictions are obtained which may be confronted with experimental results. Furthermore we introduce several biologically motivated variants of our basic model and briefly discuss the simulation of two dimensional analogs of two complex processes in tissues: the growth of a sarcoma across an epithelial boundary and the wound healing of a skin cut. As compared to other approaches, we find the Monte Carlo approach to tissue growth and structure to be particularly simple and flexible. It allows for a hierarchy of models reaching from global description of birth-death processes to very specific features of intracellular dynamics. (c) 1995 The American Physical SocietyKeywords
This publication has 36 references indexed in Scilit:
- Isotropic cellular automaton for modelling excitable mediaNature, 1990
- Tumor growth simulationComputers & Graphics, 1990
- Effects of pollution on critical population dynamicsPhysical Review A, 1989
- Mathematical BiologyPublished by Springer Nature ,1989
- Molecular quasi-speciesThe Journal of Physical Chemistry, 1988
- On the stationary state analysis of reaction-diffusion mechanisms for biological pattern formationJournal of Theoretical Biology, 1988
- Recent progress in modelling and simulation of three-dimensional tumor growth and treatmentBiosystems, 1985
- Diffusion-Limited Aggregation, a Kinetic Critical PhenomenonPhysical Review Letters, 1981
- Dynamics of Skeletal Pattern Formation in Developing Chick LimbScience, 1979
- The chemical basis of morphogenesisPhilosophical Transactions of the Royal Society of London. B, Biological Sciences, 1952