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arXiv · 1806.00213

Fitness response relation of a multi-type age-structured population dynamics

Yuki Sughiyama·So Nakashima·Tetsuya J. Kobayashi
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Abstract

We construct a pathwise formulation for a multi-type 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 trade-off 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 stationary population growth rate, in which statistics on a retrospective history work as the response coefficients. These results contribute to predicting and controlling growing populations based on experimentally observed cell-lineage information.

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Yuki Sughiyama, So Nakashima, Tetsuya J. Kobayashi. 2018-12-15. Fitness response relation of a multi-type age-structured population dynamics. https://doi.org/10.1103/physreve.99.012413

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