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Type: Journal article
Title: Modeling u8niaxial nonuniform cell proliferation
Author: Lai De Oliveira, A.
Binder, B.J.
Citation: Bulletin of Mathematical Biology, 2019; 81(7):2220-2238
Publisher: Society for Mathematical Biology
Issue Date: 2019
ISSN: 0092-8240
Statement of
Alexander Lai De Oliveira, Benjamin J. Binder
Abstract: Growth in biological systems occurs as a consequence of cell proliferation fueled by a nutrient supply. In general, the nutrient gradient of the system will be nonconstant, resulting in biased cell proliferation. We develop a uniaxial discrete cellular automaton with biased cell proliferation using a probability distribution which reflects the nutrient gradient of the system. An explicit probability mass function for the displacement of any tracked cell under the cellular automaton model is derived and verified against averaged simulation results; this displacement distribution has applications in predicting cell trajectories and evolution of expected site occupancies.
Keywords: Cellular automata
Discrete model
Nonuniform growth
Rights: © Society for Mathematical Biology 2019
DOI: 10.1007/s11538-019-00601-4
Grant ID:
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Mathematical Sciences publications

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