A new mechanism of aggregation in a lattice-gas cellular automaton model

Mathematical and Computer Modelling

Volumn 31, Issue 4-5, 2000, Pages 35-40

  Deutsch, A ^a  

^a MAX PLANCK INSTITUT FÜR PHYSIK KOMPLEXER SYSTEME   (Germany)

Author keywords

Aggregation; Bacteria; Lattice gas cellular automaton; Mean field analysis; Swarming

Indexed keywords

EID: 0034143373     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0895-7177(00)00019-4     Document Type: Conference Paper

References (10)

1. M. Dworkin and D. Kaiser, Editors, Myxobacteria II, American Society for Microbiology, Washington, (1993).
2. W. Alt, A. Deutsch and G. Dunn, Editors, Dynamics of Cell and Tissue Motion, Birkhäuser, Basel, (1997).
3. G. Doolen, U. Frisch, B. Hasslacher, S. Orszag and S. Wolfram, Editors, Lattice-gas Methods for Partial Differential Equations, Addison-Wesley, Redwood City, (1990).
4. J.P. Boon, D. Dab, R. Kapral and A. Lawniczak, Lattice gas automata for reactive systems, Phys. Rep. 273 (2), 55-148 (1996).
5. A. Deutsch, Lattice-gas approach to collective transport phenomena in biological pattern formation, In Non-linear Physics of Complex Systems - Current Status and Future Trends, (Edited by J. Parisi, S.C. Müller and W. Zimmermann) pp. 353-362, Springer, Berlin (1996).
6. A. Deutsch, Towards analyzing complex swarming patterns in biological systems with the help of lattice-gas cellular automata, J. Biol. Syst. 3 (4), 947-955 (1995).
7. A. Deutsch, Orientation-induced pattern formation: Swarm dynamics in a lattice-gas automaton model, Int. J. Bifurc. Chaos 6 (9), 1735-1752 (1996).
8. H. Bussemaker, A. Deutsch and E. Geigant, Mean-field analysis of a dynamical phase transition in a cellular automaton model for collective motion, Phys. Rev. Lett. 78, 5018-5027 (1997).
9. A. Deutsch, Manuscript in Preparation.
10. H. J. Bussemaker, Analysis of a pattern forming lattice gas automaton: Mean field theory and beyond, Phys. Rev. E 53, 1644 (1996).