Computational Modelling of Nonlinear Calcium Waves

Details Computational Modelling of Nonlinear Calcium Waves Computational Modelling of Nonlinear Calcium Waves

2010-03-28

arxiv.org/abs/1003.5370v1

X. S. Yang, Computational modelling of nonlinear calcium waves, Applied Mathematical Modelling, Vol. 30(2), 200-208 (2006).

Nonlinear Sciences

Pattern Formation and Solitons

Scientific paper

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.

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