Article | REF: AF1520 V1

Biomathematics, from the discrete to the continuous, at the service of modeling living systems

Author: Jacques DEMONGEOT

Publication date: October 10, 2012

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2. Discrete biomathematics for life modeling

2.1 An example of a discrete approach: cellular automata theory

Deterministic or random cellular automata theory , is based on the definition of a finite set (called a network) of n dynamic systems (called automata) A i , i varying from 1 to n, whose state x i (t) (i = 1,..., n) at the t ith iteration depends on the state of the automata at iteration (t - 1), through a transition function F :

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Discrete biomathematics for life modeling