Fitness Optimization and Evolution of Permanent Replicator Systems

Drozhzhin, Sergei; Yakushkina, Tatiana; Bratus, Alexander S.

doi:10.48550/arxiv.1911.02893

Cited by 1 publication

(4 citation statements)

References 18 publications

(45 reference statements)

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“…In this paper, following the previous studies on different classes of replicator systems [17,18], we propose the two main assumptions.…”

Section: Assumptions For Fitness Landscape Optimizationmentioning

confidence: 99%

“…In other words, the problem of evolutionary adaptation of the replicator system to environmental changes (in this particular case expressed in death rate variations) leads to choosing such system parameters as functions of τ , that they maximize the mean fitness (5). As it was shown in [18], it can be interpreted as searching for the combination of parameters that ensure the eigenvalue maximum (5). This class of problems is widespread in different areas of physics and mechanics, where leading eigenvalue defines first normal mode of oscillation or stability loss rate in dynamical systems.…”

Section: Assumptions For Fitness Landscape Optimizationmentioning

confidence: 99%

“…In this paper, we applied an algorithm for the fitness landscape evolution of quasispecies systems. The main hypothesis and maximization technique were developed in the previous studies [17,18] for general replicator systems and hypercycles. For these classes of systems, Fisher's theorem of natural selection gains a new mathematical interpretation.…”

Section: Numerical Examplementioning

confidence: 99%

“…This assumption leads to the significant fact that the evolutionary changes of the system parameters happen in steady-states of the corresponding dynamical systems. The approach was previously used for hypercycles [17] and later was applied to general replicator systems [18]. In the current research, we address the question how open quasispecies systems react on directed mortality.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Open Quasispecies Systems: New Approach to Evolutionary Adaptation

Samokhin¹,

Yakushkina²,

Bratus³

2020

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Consider a mathematical model of evolutionary adaptation of fitness landscape and mutation matrix as a reaction to population changes. As a basis, we use an open quasispecies model, which is modified to include explicit death flow. We assume that evolutionary parameters of mutation and selection processes vary in a way to maximize the mean fitness of the system. From this standpoint, Fisher's theorem of natural selection is being rethought and discussed. Another assumption is that system dynamics has two significant timescales. According to our central hypothesis, major evolutionary transitions happen in the steady-state of the corresponding dynamical system, so the evolutionary time is much slower than the one of internal dynamics. For the specific cases of quasispecies systems, we show how our premises form the fitness landscape adaptation process.

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“…In this paper, following the previous studies on different classes of replicator systems [17,18], we propose the two main assumptions.…”

Section: Assumptions For Fitness Landscape Optimizationmentioning

confidence: 99%