Cell differentiation and neurogenesis in evolutionary large scale chaos

Abstract

This paper reports dynamic phenomena analogous to cell differentiation. The model used in this paper is based on evolutionary large scale chaos, a large numbers of coupled chaotic elements whose logistic map is evolutionary acquired. The logistic map function itself may change dynamically according to chemical concentration in each cell by regulating its gene. Each individual starts from a single cell which can cause cell division, successfully evolved individual can form a cell cluster of the substantial size. It can form a neural network by growing axons from cells differentiated to neurite. We have observed that even such a simple dynamical system, phenomena similar to cell differentiation takes place, and creates characteristic patterns which may be observed in actual biological systems. Some of temporal patterns of axon growth observed were similar to actual growth patterns.