Modeling Uniaxial Nonuniform Cell Proliferation
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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.
KeywordsNonuniform growth Discrete model Cellular automata
BJB contribution was supported by the Australian Research Council’s Discovery Project DP160102644.
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