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…”
Get full text

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…”
Get full text

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…”
Get full text

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…”
Get full text

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…”
Get full text

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…”
Get full text

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…”
Get full text

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.

“…Motivation: In our previous studies, we developed discrete-space birth, death and innovation models (BDIMs) of genome evolution. These models explain the…”
Get full text

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…”
Get full text

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…”
Get full text

Modeling the dynamics of inhomogeneous natural rotifer populations under toxicant exposure by KAREU, Georgy P, NOVOZHILOV, Artem S, BEREZOVSKAYA, Faina S

Get full text

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…”
Get full text

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…”
Get full text

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…”
Get full text

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…”
Get full text

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…”
Get full text

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…”
Get full text