Authors
Simon Syga, Josué Manik Nava-Sedeño, Andreas Deutsch
Published in
The European physical journal. Special topics. Volume 235. Issue 31. Pages 8869-8877. Epub Feb 24, 2026.
Abstract
Cellular automaton models have long been used to study cellular processes, but may be challenging for incorporating synchronization, migratory, and high-density effects. In this work, we introduce an extension of the classic lattice-gas cellular automata, a framework which allows to consider changes in cell numbers, cell-cell interactions, migration, and evolution of genotypic and phenotypic heterogeneity. To demonstrate the utility of our approach, we consider a growing population of cells whose genotype-passed on at birth from the mother cell and subject to stochastic mutations-determines their individual proliferation rates. Using spatial simulations, we show that the model exhibits traveling-wave invasion patterns, where the fastest-growing cells accumulate at the leading edge, accelerating population expansion. We predict this behavior using a mathematical analysis based on a mean-field assumption.
The online version contains supplementary material available at https://doi.org/10.1140/epjs/s11734-026-02186-1.
PMID:
42999759
Bibliographic data and abstract were imported from PubMed on 08 Nov 2026.
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