• Corpus ID: 244729091

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

@article{Samokhin2021FitnessLA,
  title={Fitness landscape adaptation in open replicator systems with competition: application to cancer therapy},
  author={I. A. Samokhin and Tatiana Yakushkina and Dmitry Markin and Alexander S. Bratus},
  journal={ArXiv},
  year={2021},
  volume={abs/2111.14964}
}
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… 

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References

SHOWING 1-10 OF 13 REFERENCES

Open quasispecies models: Stability, optimization, and distributed extension

On the evolution of hypercycles.

Mathematical modeling of evolution. Solved and open problems

The existence of neutral sets of genotypes called neutral networks necessitates stochastic modeling, which is introduced here by simulation of molecular evolution in a kind of flowreactor.

Evolutionary Games and Population Dynamics

In this book the authors investigate the nonlinear dynamics of the self-regulation of social and economic behavior, and of the closely related interactions among species in ecological communities.

Stability and the limit behavior of the open distributed hypercycle system

We study an open model of hypercyclic replication taking into account the spatial distribution of macromolecules under the action of homogeneous diffusion processes. The aim of our paper is to

An introduction to population genetics theory

An introduction to population genetics theory , An introduction to population genetics theory , مرکز فناوری اطلاعات و اطلاع رسانی کشاورزی

Self-organization of matter and the evolution of biological macro-molecules

  • Naturwissenschaften,
  • 1971

Mathematical Modeling of Evolution

Introduction to Matrix Analysis

This book discusses Maximization, Minimization, and Motivation, which is concerned with the optimization of Symmetric Matrices, and its applications in Programming and Mathematical Economics.