Physics – Biological Physics
Scientific paper
2006-01-30
Physics
Biological Physics
15 pages, 7 figures
Scientific paper
10.1103/PhysRevE.73.051901
The Cellular Potts Model (CPM) has been used for simulating various biological phenomena such as differential adhesion, fruiting body formation of the slime mold Dictyostelium discoideum, angiogenesis, cancer invasion, chondrogenesis in embryonic vertebrate limbs, and many others. In this paper, we derive continuous limit of discrete one dimensional CPM with the chemotactic interactions between cells in the form of a Fokker-Planck equation for the evolution of the cell probability density function. This equation is then reduced to the classical macroscopic Keller-Segel model. In particular, all coefficients of the Keller-Segel model are obtained from parameters of the CPM. Theoretical results are verified numerically by comparing Monte Carlo simulations for the CPM with numerics for the Keller-Segel model.
Alber Mark
Chen Nan
Glimm Tilmann
Lushnikov Pavel M.
No associations
LandOfFree
Multiscale dynamics of biological cells with chemotactic interactions: from a discrete stochastic model to a continuous description does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Multiscale dynamics of biological cells with chemotactic interactions: from a discrete stochastic model to a continuous description, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Multiscale dynamics of biological cells with chemotactic interactions: from a discrete stochastic model to a continuous description will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-14610