The Kinetic Basis of Self-Organized Pattern Formation
Formal Languages and Automata Theory
2014-06-03 v2 Systems and Control
Abstract
In his seminal paper on morphogenesis (1952), Alan Turing demonstrated that different spatio-temporal patterns can arise due to instability of the homogeneous state in reaction-diffusion systems, but at least two species are necessary to produce even the simplest stationary patterns. This paper is aimed to propose a novel model of the analog (continuous state) kinetic automaton and to show that stationary and dynamic patterns can arise in one-component networks of kinetic automata. Possible applicability of kinetic networks to modeling of real-world phenomena is also discussed.
Cite
@article{arxiv.1404.1283,
title = {The Kinetic Basis of Self-Organized Pattern Formation},
author = {Yuri Shalygo},
journal= {arXiv preprint arXiv:1404.1283},
year = {2014}
}
Comments
8 pages, submitted to the 14th International Conference on the Synthesis and Simulation of Living Systems (Alife 14) on 23.03.2014, accepted 09.05.2014