Computational Modelling of Nonlinear Calcium Waves
Pattern Formation and Solitons
2010-03-30 v1 Analysis of PDEs
Adaptation and Self-Organizing Systems
Biological Physics
Subcellular Processes
Abstract
The calcium transport in biological systems is modelled as a reaction-diffusion process. Nonlinear calcium waves are then simulated using a stochastic cellular automaton whose rules are derived from the corresponding coupled partial differential equations. Numerical simulations show self-organized criticality in the complex calcium waves and patterns. Both the stochastic cellular automaton approach and the equation-based simulations can predict the characteristics of calcium waves and complex pattern formation. The implication of locality of calcium distribution with positional information in biological systems is also discussed.
Cite
@article{arxiv.1003.5370,
title = {Computational Modelling of Nonlinear Calcium Waves},
author = {Xin-She Yang},
journal= {arXiv preprint arXiv:1003.5370},
year = {2010}
}