Search Results - "BEREZOVSKAYA, FAINA S."

Birth and death of protein domains: a simple model of evolution explains power law behavior by Karev, Georgy P, Wolf, Yuri I, Rzhetsky, Andrey Y, Berezovskaya, Faina S, Koonin, Eugene V

“…Power distributions appear in numerous biological, physical and other contexts, which appear to be fundamentally different. In biology, power laws have been…”
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Mathematical modeling of tumor therapy with oncolytic viruses: regimes with complete tumor elimination within the framework of deterministic models by Novozhilov, Artem S, Berezovskaya, Faina S, Koonin, Eugene V, Karev, Georgy P

“…Oncolytic viruses that specifically target tumor cells are promising anti-cancer therapeutic agents. The interaction between an oncolytic virus and tumor cells…”
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Gene family evolution: an in-depth theoretical and simulation analysis of non-linear birth-death-innovation models by Karev, Georgy P, Wolf, Yuri I, Berezovskaya, Faina S, Koonin, Eugene V

“…The size distribution of gene families in a broad range of genomes is well approximated by a generalized Pareto function. Evolution of ensembles of gene…”
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ROLE OF PREY DISPERSAL AND REFUGES ON PREDATOR-PREY DYNAMICS by BEREZOVSKAYA, FAINA S., SONG, BAOJUN, CASTILLO-CHAVEZ, CARLOS

“…We explore the population dynamics of predator-prey systems when their interactions are mediated by a prey population with access to a refuge. The emphasis is…”
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Pseudo-chaotic oscillations in CRISPR-virus coevolution predicted by bifurcation analysis by Berezovskaya, Faina S, Wolf, Yuri I, Koonin, Eugene V, Karev, Georgy P

“…The CRISPR-Cas systems of adaptive antivirus immunity are present in most archaea and many bacteria, and provide resistance to specific viruses or plasmids by…”
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Population models with singular equilibrium by Berezovskaya, Faina S., Novozhilov, Artem S., Karev, Georgy P.

“…A class of models of biological population and communities with a singular equilibrium at the origin is analyzed; it is shown that these models can possess a…”
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On the asymptotic behaviour of the solutions to the replicator equation by Karev, Georgy P, Novozhilov, Artem S, Berezovskaya, Faina S

“…Selection systems and the corresponding replicator equations model the evolution of replicators with a high level of abstraction. In this paper, we apply novel…”
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Modeling the dynamics of inhomogeneous natural rotifer populations under toxicant exposure by Karev, Georgy P., Novozhilov, Artem S., Berezovskaya, Faina S.

“…Most population models assume that individuals within a given population are identical, that is, the fundamental role of variation is ignored. Here we develop…”
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Modeling genome evolution with a diffusion approximation of a birth-and-death process by Karev, Georgy P., Berezovskaya, Faina S., Koonin, Eugene V.

“…Motivation: In our previous studies, we developed discrete-space birth, death and innovation models (BDIMs) of genome evolution. These models explain the…”
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Rotifer Population Dynamics in Two Coupled Habitats: Invasion of Chaos by Medvinsky, Alexander B, Gonik, Maria M, Berezovskaya, Faina S, Li, Bai-Lian, Malchow, Horst

“…We study the role of interactions between habitats in rotifer dynamics. We use a simple discrete-time model to simulate the interactions between neighboring…”
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Families of traveling impulses and fronts in some models with cross-diffusion by Berezovskaya, Faina S., Novozhilov, Artem S., Karev, Georgy P.

“…An analysis of traveling wave solutions of partial differential equation (PDE) systems with cross-diffusion is presented. The systems under study fall in a…”
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Modeling the dynamics of inhomogeneous natural rotifer populations under toxicant exposure by KAREU, Georgy P, NOVOZHILOV, Artem S, BEREZOVSKAYA, Faina S

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On the asymptotic behavior of the solutions to the replicator equation by Karev, Georgy P, Novozhilov, Artem S, Berezovskaya, Faina S

“…Selection systems and the corresponding replicator equations model the evolution of replicators with a high level of abstraction. In this paper we apply novel…”
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Pure cross-diffusion models: Implications for traveling wave solutions by Berezovskaya, Faina S, Karev, Georgy P, Novozhilov, Artem S

“…An analysis of traveling wave solutions of pure cross-diffusion systems, i.e., systems that lack reaction and self-diffusion terms, is presented. Using the…”
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Population models with singular equilibrium by Berezovskaya, Faina S, Novozhilov, Artem S, Karev, Georgy P

“…A class of models of biological population and communities with a singular equilibrium at the origin is analyzed; it is shown that these models can possess a…”
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Modeling the dynamics of inhomogeneous natural rotifer populations under toxicant exposure by Karev, Georgy P, Novozhilov, Artem S, Berezovskaya, Faina S

“…Most population models assume that individuals within a given population are identical, that is, the fundamental role of variation is ignored. Here we develop…”
Get full text

Modeling genome evolution with a diffusion approximation of a birth-and-death process by Karev, Georgy P, Berezovskaya, Faina S, Koonin, Eugene V

“…In our previous studies, we developed discrete-space Birth, Death and Innovation Models (BDIM) of genome evolution. These models explain the origin of the…”
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Modeling the dynamics of natural rotifer populations: phase-parametric analysis by Berezovskaya, Faina S, Karev, Georgy P, Snell, Terry W

“…A model of the dynamics of natural rotifer populations is described as a discrete nonlinear map depending on three parameters, which reflect characteristics of…”
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Mathematical modeling of anti-tumor virus therapy: Regimes with complete recovery within the framework of deterministic models by Novozhilov, Artem S, Berezovskaya, Faina S, Koonin, Eugene V, Karev, Georgy P

“…A complete parametric analysis of dynamic regimes of a conceptual model of anti-tumor virus therapy is presented. The role and limitations of mass-action…”
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