D. Drasdo et al., MONTE-CARLO APPROACH TO TISSUE-CELL POPULATIONS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 52(6), 1995, pp. 6635-6657
We describe a stochastic dynamics of tissue cells with special emphasi
s on epithelial cells and fibroblasts and fibrocytes of the connective
tissue. Pattern formation and growth characteristics of such cell pop
ulations in culture are investigated numerically by Monte Carlo simula
tions for quasi-two-dimensional systems of cells. A number of quantita
tive predictions are obtained which may be cofronted with experimental
results. Furthermore we introduce several biologically motivated vari
ants of our basic model and briefly discuss the simulation of two-dime
nsional analogs of two complex processes in tissues: the growth of a s
arcoma across an epithelial boundary and the wound healing of a skin c
ut. 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 dy
namics.