Modeling u8niaxial nonuniform cell proliferation
Date
2019
Authors
Lai De Oliveira, A.
Binder, B.J.
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Journal article
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Bulletin of Mathematical Biology, 2019; 81(7):2220-2238
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Alexander Lai De Oliveira, Benjamin J. Binder
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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.
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© Society for Mathematical Biology 2019