Phenotypic plasticity trade-offs in an age-structured model of bacterial growth under stress
arxiv(2024)
摘要
Under low concentrations of antibiotics causing DNA damage,
Escherichia coli bacteria can trigger stochastically a stress response
known as the SOS response. While the expression of this stress response can
make individual cells transiently able to overcome antibiotic treatment, it can
also delay cell division, thus impacting the whole population's ability to grow
and survive. In order to study the trade-offs that emerge from this phenomenon,
we propose a bi-type age-structured population model that captures the
phenotypic plasticity observed in the stress response. Individuals can belong
to two types: either a fast-dividing but prone to death “vulnerable” type, or
a slow-dividing but “tolerant” type. We study the survival probability of the
population issued from a single cell as well as the population growth rate in
constant and periodic environments. We show that the sensitivity of these two
different notions of fitness with respect to the parameters describing the
phenotypic plasticity differs between the stochastic approach (survival
probability) and the deterministic approach (population growth rate). Moreover,
under a more realistic configuration of periodic stress, our results indicate
that optimal population growth can only be achieved through fine-tuning
simultaneously both the induction of the stress response and the repair
efficiency of the damage caused by the antibiotic.
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