Search Results - "Karev, Georgy P"

How trait distributions evolve in populations with parametric heterogeneity by P Karev, Georgy, S Novozhilov, Artem

“…•Evolution of trait distributions is studied.•Heterogeneous models with parametric heterogeneity are analyzed.•Constant in time variance implies the normal…”
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universal distribution of evolutionary rates of genes and distinct characteristics of eukaryotic genes of different apparent ages by Wolf, Yuri I, Novichkov, Pavel S, Karev, Georgy P, Koonin, Eugene V, Lipman, David J

“…The evolutionary rates of protein-coding genes in an organism span, approximately, 3 orders of magnitude and show a universal, approximately log-normal…”
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The structure of the protein universe and genome evolution by Koonin, Eugene V, Wolf, Yuri I, Karev, Georgy P

“…Despite the practically unlimited number of possible protein sequences, the number of basic shapes in which proteins fold seems not only to be finite, but also…”
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Biological applications of the theory of birth-and-death processes by Novozhilov, Artem S, Karev, Georgy P, Koonin, Eugene V

“…In this review, we discuss applications of the theory of birth-and-death processes to problems in biology, primarily, those of evolutionary genomics. The…”
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Stable coevolutionary regimes for genetic parasites and their hosts: you must differ to coevolve by Berezovskaya, Faina, Karev, Georgy P, Katsnelson, Mikhail I, Wolf, Yuri I, Koonin, Eugene V

“…Genetic parasites are ubiquitous satellites of cellular life forms most of which host a variety of mobile genetic elements including transposons, plasmids and…”
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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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Mathematical modeling of tumor therapy with oncolytic viruses: effects of parametric heterogeneity on cell dynamics by Karev, Georgy P, Novozhilov, Artem S, Koonin, Eugene V

“…One of the mechanisms that ensure cancer robustness is tumor heterogeneity, and its effects on tumor cells dynamics have to be taken into account when studying…”
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Non-linearity and heterogeneity in modeling of population dynamics by Karev, Georgy P.

“…The study of population growth reveals that the behaviors that follow the power law appear in numerous biological, demographical, ecological, physical and…”
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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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Parabolic replicator dynamics and the principle of minimum Tsallis information gain by Karev, Georgy P, Koonin, Eugene V

“…Non-linear, parabolic (sub-exponential) and hyperbolic (super-exponential) models of prebiological evolution of molecular replicators have been proposed and…”
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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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Mathematical modeling of evolution of horizontally transferred genes by Novozhilov, Artem S, Karev, Georgy P, Koonin, Eugene V

“…We describe a stochastic birth-and-death model of evolution of horizontally transferred genes in microbial populations. The model is a generalization of 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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Inhomogeneous maps and mathematical theory of selection by Karev, Georgy P.

“…In this paper we develop a theory of general selection systems with discrete time and explore the evolution of selection systems, in particular, inhomogeneous…”
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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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Simple stochastic birth and death models of genome evolution: was there enough time for us to evolve? by Karev, Georgy P., Wolf, Yuri I., Koonin, Eugene V.

“…Motivation: The distributions of many genome-associated quantities, including the membership of paralogous gene families can be approximated with power laws…”
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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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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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