Stochastic multi-scale models of competition within heterogeneous cellular populations: Simulation methods and mean-field analysis

@article{Cruz2016StochasticMM,
  title={Stochastic multi-scale models of competition within heterogeneous cellular populations: Simulation methods and mean-field analysis},
  author={R. D. L. Cruz and Pilar Guerrero and F. Spill and T. Alarc{\'o}n},
  journal={Journal of Theoretical Biology},
  year={2016},
  volume={407},
  pages={161 - 183}
}
  • R. D. L. Cruz, Pilar Guerrero, +1 author T. Alarcón
  • Published 2016
  • Medicine, Physics, Biology
  • Journal of Theoretical Biology
  • We propose a modelling framework to analyse the stochastic behaviour of heterogeneous, multi-scale cellular populations. We illustrate our methodology with a particular example in which we study a population with an oxygen-regulated proliferation rate. Our formulation is based on an age-dependent stochastic process. Cells within the population are characterised by their age (i.e. time elapsed since they were born). The age-dependent (oxygen-regulated) birth rate is given by a stochastic model… CONTINUE READING

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