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Symmetry of integrable cellular automaton
Journal of Physics A: Mathematical and General, 2001The paper shows how various discretization methods applied to the equation \[ {dv_n\over dt}=v_n \sum^M_{j=0}(v_{n+j} -v_{n-j}) \] lead to cellular automata structures and to soliton solutions (which are explicitly written down).
Kazuhiro Hikami, Rei Inoue
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Immiscible cellular-automaton fluids
Journal of Statistical Physics, 1988zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jeffrey M. Keller, Daniel H. Rothman
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A cellular automaton model of cellular signal transduction
Computers in Biology and Medicine, 2000On the basis of cellular automata models, a software specifically tailored to model biochemical reactions involved in cellular signal transduction was implemented on a personal computer. Recent data regarding desensitization processes in mouse Leydig cells are used to simulate the underlying reactions of signal transduction. Pretreatment of real Leydig
Jens U. Würthner +2 more
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Attractor vicinity decay for a cellular automaton
Chaos: An Interdisciplinary Journal of Nonlinear Science, 1993The temporal decay of an attractor’s vicinity for a domain-wall dominated cellular automaton (CA) is studied. Using selected initial pattern ensembles, state space structures in this high-dimensional nonlinear spatial system can be identified via the resulting decay to its attractors.
James P. Crutchfield, James E. Hanson
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Kinetic limits of the HPP cellular automaton
Journal of Statistical Physics, 1992We study the Boltzmann-Grad limit in various versions of the two-dimensional HPP cellular automaton. In the completely deterministic case we prove convergence to an evolution that is not of kinetic type, a well-known phenomenon after Uchyiama's paper on the Broadwell gas, whereas the limiting equation becomes of kinetic type in the model with random ...
DE MASI, Anna, ESPOSITO R, PRESUTTI E.
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The Sandpile Cellular Automaton
2018This is a short introduction to the sandpile cellular automaton. It is aimed at non-specialist, who may not be familiar with statistical physics models. Technicalities are kept to a minimum and the emphasis is on motivation, clear definitions, key properties and some of the challenges.
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Overview of Cellular Automaton Models for Corrosion
2014A review of corrosion process modeling using cellular automata methods is presented. This relatively new and growing approach takes into account the stochastic nature of the phenomena and uses physico-chemical rules to make predictions at a mesoscopic scale. Milestone models are analyzed and perspectives are established.
Pérez-Brokate, Cristian Felipe +4 more
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Avalanches in a cellular automaton
Physical Review E, 1995E. Morales-Gamboa +3 more
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Cellular Automaton Modeling of Tumor Invasion
2009Haralambos Hatzikirou +2 more
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