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Modeling Uniaxial Nonuniform Cell Proliferation

  • Alexander Lai De Oliveira
  • Benjamin J. BinderEmail author
Article
  • 29 Downloads

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

Nonuniform growth Discrete model Cellular automata 

Notes

Acknowledgements

BJB contribution was supported by the Australian Research Council’s Discovery Project DP160102644.

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Copyright information

© Society for Mathematical Biology 2019

Authors and Affiliations

  • Alexander Lai De Oliveira
    • 1
  • Benjamin J. Binder
    • 1
    Email author
  1. 1.School of Mathematical SciencesUniversity of AdelaideAdelaideAustralia

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