Self-Organization, Active Brownian Dynamics, and Biological Applications

Abstract

After summarizing basic features of self-organization such as entropy export, feedbacks and nonlinear dynamics, we discuss several examples in biology. The main part of the paper is devoted to a model of active Brownian motion that allows a stochastic description of the active motion of biological entities based on energy consumption and conversion. This model is applied to the dynamics of swarms with external and interaction potentials. By means of analytical results, we can distiguish between translational, rotational and amoebic modes of swarm motion. We further investigate swarms of active Brownian particles interacting via chemical fields and demonstrate the application of this model to phenomena such as biological aggregation and trail formation in insects.

22 pages, 9 multipart figures (minor changes after vers.1), For related papers see http://www.ais.fraunhofer.de/~frank/papers.html

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• Novel type of phase transition in a system of self-driven particles
• Brownian Particles far from Equilibrium
• Noise-induced breakdown of coherent collective motion in swarms
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Cited by in corpus (5)

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• An agent-based framework of active matter with applications in biological and social systems
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• Multi-Agent Approach to the Self-Organization of Networks
• Modeling tropotaxis in ant colonies: recruitment and trail formation