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- Diffusion , Mathematisches Modell , Zellularer Automat (1) (remove)
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A variety of methods have been used to describe natural systems and cellular functions. Most use continuous systems with differential equations. Based upon the neighbourhood relations in graphs and the complex interactions in cellular automata a mathematical model was designed and implemented as an application user interface. This discrete approach called graph automata was utilised to simulate diffusion processes and chemical kinetics. The progression of diffusion in cellular environments was described and resulted in a discrepancy of 20% in comparison to experimental results. Different chemical kinetics were simulated and found to be as accurate as their continuous counterparts. The proposed model appears to be a highly scalable and modular
approach to simulate natural systems.