3 citations · 7 across the 12 of their papers we have counts for
17 papers
On a hypercycle equation with infinitely many members
Alexander S. Bratus, Olga S. Chmereva, Ivan Yegorov +1
A hypercycle equation with infinitely many types of macromolecules is formulated and studied both analytically and numerically. The resulting model is given by an integro-different…
Fitness landscape adaptation in open replicator systems with competition: application to cancer therapy
Igor Samokhin, Tatiana Yakushkina, Dmitry Markin +1
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…
Food webs and the principle of evolutionary adaptation
Alexander S. Bratus, Anastasiia V. Korushkina, Artem S. Novozhilov
A principle of evolutionary adaptation is applied to the Lotka--Volterra models, in particular to the food webs. We present a relatively simple computational algorithm of optimizat…
Open Quasispecies Systems: New Approach to Evolutionary Adaptation
Igor Samokhin, Tatiana Yakushkina, Alexander S. Bratus
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…
Fitness Optimization and Evolution of Permanent Replicator Systems
Sergei Drozhzhin, Tatiana Yakushkina, Alexander Bratus
In this paper, we discuss the fitness landscape evolution of permanent replicator systems using a hypothesis that the specific time of evolutionary adaptation of the system paramet…
Open Quasispecies Models: Stability, Optimization, and Distributed Extension
Ivan Yegorov, Artem S. Novozhilov, Alexander S. Bratus
We suggest a natural approach that leads to a modification of classical quasispecies models and incorporates the possibility of population extinction in addition to growth. The res…