Fitness landscape adaptation in open replicator systems with competition: application to cancer therapy

Igor Samokhin; Tatiana Yakushkina; Dmitry Markin; Alexander S. Bratus

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arXiv · 2111.14964

Fitness landscape adaptation in open replicator systems with competition: application to cancer therapy

Igor Samokhin·Tatiana Yakushkina·Dmitry Markin·Alexander S. Bratus

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Abstract

This study focuses on open quasispecies systems with competition and death flow, described by modified Eigen and Crow-Kimura models. We examine the evolutionary adaptation process as a reaction to changes in rates. One of the fundamental assumptions, which forms the basis of our mathematical model, is the existence of two different timescales: internal dynamics time and evolutionary time. The latter is much slower and exhibits significant adaptation events. These conditions allow us to represent the whole evolutionary process through a series of steady-state equations, where all the elements continuously depend on the evolutionary parameter.

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Igor Samokhin, Tatiana Yakushkina, Dmitry Markin, Alexander S. Bratus. 2021-11-29. Fitness landscape adaptation in open replicator systems with competition: application to cancer therapy. https://arxiv.org/abs/2111.14964

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