Fitness response relation of a multitype age-structured population dynamics.

  title={Fitness response relation of a multitype age-structured population dynamics.},
  author={Yuki Sughiyama and So Nakashima and Tetsuya J. Kobayashi},
  journal={Physical review. E},
  volume={99 1-1},
We construct a pathwise formulation for a multitype age-structured population dynamics, which involves an age-dependent cell replication and transition of gene- or phenotypes. By employing the formulation, we derive a variational representation of the stationary population growth rate; the representation comprises a tradeoff relation between growth effects and a single-cell intrinsic dynamics described by a semi-Markov process. This variational representation leads to a response relation of the… 
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