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TU Dresden
Dept. for Innovative
Methods of Computing

Cellular Automata

Cellular automata are discrete dynamical systems. They were introduced by J. von Neumann and S. Ulam in the 1950s in an attempt to model biological self-reproduction. Since then, it has become clear that CA have a much broader potential as models for physical, chemical and biological self-organization. We develop cellular automata and further cell-based models (e.g. Cellular Potts model) for studying the emergence of collective macroscopic behavior emerging from the microscopic interaction of individual components, such as molecules, cells or organisms.

Simulation of Brownian Motion with Cellular Automata. The used simulation enviroment CASim is available online (see below).

Key Publications:

H. Hatzikirou, A. Deutsch
Lattice-Gas Cellular Automaton Modeling of Emergent Behavior in Interacting Cell Populations
In: Simulating Complex Systems by Cellular Automata
301-331, 2010 [DOI]

H. Hatzikirou, L. Brusch, A. Deutsch
From cellular automaton rules to an effective macroscopic mean-field description
Acta Physica Polonica B Proceedings Supplement, 3, 399-416, 2010 [PDF]

Cellular Automaton Modeling of Biological Pattern Formation: Characterization, Applications, and Analysis
A. Deutsch, S. Dormann
Birkhäuser, Boston, 2005


Prof. Niloy Ganguly (Department of Computer Science and Engineering, Kharagpur, India)
Dr. Haralambos Hatzikirou
Prof. Dr. Dieter Wolf-Gladrow (Alfred Wegener Institute, Bremerhaven)


CA Sim is an interactive simulation environment for cellular automaton models that accompanies the book Cellular Automaton Modeling of Biological Pattern Formation by A. Deutsch and S. Dormann (Birkhauser, Boston, 2005).

CAsim offers you:

  • a Java Applet with a selection of implemented automaton rules and geometries
  • adjustable parameter values and full control over the simulation
  • visualisation of the simulated dynamics and formation of patterns

Please find CAsim here