Analytical Description of the Diffusion in a Cellular Automaton with the Margolus Neighbourhood in Terms of the Two-Dimensional Markov Chain [PDF]
Mathematics, 2023 The one-parameter two-dimensional cellular automaton with the Margolus neighbourhood is analyzed based on considering the projection of the stochastic movements of a single particle. Introducing the auxiliary random variable associated with the direction
Anton E. Kulagin +1 more
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An in silico FSHD muscle fiber for modeling DUX4 dynamics and predicting the impact of therapy [PDF]
eLife, 2023 Facioscapulohumeral muscular dystrophy (FSHD) is an incurable myopathy linked to the over-expression of the myotoxic transcription factor DUX4. Targeting DUX4 is the leading therapeutic approach, however, it is only detectable in 0.1–3.8% of FSHD ...
Matthew V Cowley +4 more
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Simple stochastic cellular automaton model for starved beds and implications about formation of sand topographic features in terms of sand flux [PDF]
Progress in Earth and Planetary Science, 2016 A simple stochastic cellular automaton model is proposed for simulating bedload transport, especially for cases with a low transport rate and where available sediments are very sparse on substrates in a subaqueous system.
Noritaka Endo
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On Two Non-Ergodic Reversible Cellular Automata, One Classical, the Other Quantum [PDF]
Entropy, 2023 We propose and discuss two variants of kinetic particle models—cellular automata in 1 + 1 dimensions—that have some appeal due to their simplicity and intriguing properties, which could warrant further research and applications.
Tomaž Prosen
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Remarks on the cellular automaton global synchronisation problem: deterministic versus stochastic models [PDF]
Natural Computing, 2018 In the global synchronisation problem, one is asked to find a cellular automaton which has the property that every initial condition evolves into a homogeneous blinking state. We study this simple inverse problem for the case of one-dimensional systems with periodic boundary conditions.
Nazim Fatès
semanticscholar +7 more sources
Derivation of a stochastic cellular automaton model for the dynamics of bistable units with global and asymmetric local interactions [PDF]
Progress of Theoretical and Experimental Physics, 2014 Shousuke Ohmori, Yoshihiro Yamazaki
semanticscholar +4 more sources
Phase diagrams of bone remodeling using a 3D stochastic cellular automaton
bioRxivWe propose a 3D stochastic cellular automaton model, governed by evolutionary game theory, to simulate bone remodeling dynamics. The model includes four voxel states: Formation, Quiescence, Resorption, and Environment.
Anna-Dorothea Heller +2 more
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, 2015 CellLab-CTS 2015: a Python library for continuous-time stochastic cellular automaton modeling using Landlab G. E. Tucker, D. E. J. Hobley, E. Hutton, N. M. Gasparini, E. Istanbulluoglu, J. M. Adams, and S. S. Nudurupati Cooperative Institute for Research
Gregory E. Tucker +6 more
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Phase diagrams of bone remodeling using a 3D stochastic cellular automaton [PDF]
PLOS ONE, 2023 AbstractWe propose a 3D stochastic cellular automaton model, governed by evolutionary game theory, to simulate bone remodeling dynamics. The model includes four voxel states:Formation, Quiescence, Resorption, andEnvironment. We simulate theResorptionandFormationprocesses on separate time scales to explore the parameter space and derive a phase diagram ...
Anna-Dorothea Heller +2 more
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, 2017 The aim of this work was to simulate the growth and spatial structure of the fungal mycelium using a cellular automaton based on the synthesis of various model approaches.
Anatoliy Sergeevich Shumilov +1 more
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