Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1707336 | Applied Mathematical Modelling | 2006 | 9 Pages |
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.
Keywords
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Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Xin-She Yang,