Georgiy P Karev

Summary

Affiliation: National Institutes of Health
Country: USA

Publications

  1. pmc Parabolic replicator dynamics and the principle of minimum Tsallis information gain
    Georgy P Karev
    National Center for Biotechnology Information, NLM, National Institutes of Health, Bethesda, Maryland 20894, USA
    Biol Direct 8:19. 2013
  2. pmc On the asymptotic behaviour of the solutions to the replicator equation
    Georgy P Karev
    National Center for Biotechnology Information, National Institutes of Health, Bethesda, MD 20894, USA
    Math Med Biol 28:89-110. 2011
  3. doi request reprint Replicator equations and the principle of minimal production of information
    G P Karev
    Lockheed Martin MSD, National Institute of Health, Bethesda, MD 20894, USA
    Bull Math Biol 72:1124-42. 2010
  4. doi request reprint On mathematical theory of selection: continuous time population dynamics
    Georgiy P Karev
    Lockheed Martin MSD, National Institutes of Health, Bldg 38A, Rm 5N511N, 8600 Rockville Pike, Bethesda, MD 20894, USA
    J Math Biol 60:107-29. 2010
  5. pmc Birth and death of protein domains: a simple model of evolution explains power law behavior
    Georgy P Karev
    National Center for Biotechnology Information, National Library of Medicine, National Institutes of Health, Bethesda, MD 20894, USA
    BMC Evol Biol 2:18. 2002
  6. pmc Gene family evolution: an in-depth theoretical and simulation analysis of non-linear birth-death-innovation models
    Georgy P Karev
    National Center for Biotechnology Information, National Library of Medicine, National Institutes of Health, Bethesda, MD 20894, USA
    BMC Evol Biol 4:32. 2004
  7. ncbi request reprint Simple stochastic birth and death models of genome evolution: was there enough time for us to evolve?
    Georgy P Karev
    National Center for Biotechnology Information, National Library of Medicine, National Institutes of Health, Bethesda, MD 20894, USA
    Bioinformatics 19:1889-900. 2003
  8. ncbi request reprint The structure of the protein universe and genome evolution
    Eugene V Koonin
    National Center for Biotechnology Information, National Library of Medicine, National Institutes of Health, Bethesda, Maryland 20894, USA
    Nature 420:218-23. 2002
  9. ncbi request reprint Modeling genome evolution with a diffusion approximation of a birth-and-death process
    Georgy P Karev
    National Center for Biotechnology Information, National Library of Medicine, National Institutes of Health Bethesda, MD 20894, USA
    Bioinformatics 21:iii12-9. 2005
  10. pmc The universal distribution of evolutionary rates of genes and distinct characteristics of eukaryotic genes of different apparent ages
    Yuri I Wolf
    National Center for Biotechnology Information, National Library of Medicine, National Institutes of Health, Bethesda, MD 20894, USA
    Proc Natl Acad Sci U S A 106:7273-80. 2009

Detail Information

Publications13

  1. pmc Parabolic replicator dynamics and the principle of minimum Tsallis information gain
    Georgy P Karev
    National Center for Biotechnology Information, NLM, National Institutes of Health, Bethesda, Maryland 20894, USA
    Biol Direct 8:19. 2013
    ..We sought to identify a more general form of the MaxEnt principle that would be applicable to parabolic growth...
  2. pmc On the asymptotic behaviour of the solutions to the replicator equation
    Georgy P Karev
    National Center for Biotechnology Information, National Institutes of Health, Bethesda, MD 20894, USA
    Math Med Biol 28:89-110. 2011
    ..J. Math. Biol., 54, 357-384), for which we show, for an arbitrary dimension of the system and under some suitable conditions, that generically one globally stable equilibrium exits on the 1-skeleton of the simplex...
  3. doi request reprint Replicator equations and the principle of minimal production of information
    G P Karev
    Lockheed Martin MSD, National Institute of Health, Bethesda, MD 20894, USA
    Bull Math Biol 72:1124-42. 2010
    ..Applications to the Malthusian inhomogeneous models, global demography, and the Eigen quasispecies equation are given...
  4. doi request reprint On mathematical theory of selection: continuous time population dynamics
    Georgiy P Karev
    Lockheed Martin MSD, National Institutes of Health, Bldg 38A, Rm 5N511N, 8600 Rockville Pike, Bethesda, MD 20894, USA
    J Math Biol 60:107-29. 2010
    ..Applications of the method to the Price equations are given; the solutions of some particular inhomogeneous Malthusian, Ricker and logistic-like models used but not solved in the literature are derived in explicit form...
  5. pmc Birth and death of protein domains: a simple model of evolution explains power law behavior
    Georgy P Karev
    National Center for Biotechnology Information, National Library of Medicine, National Institutes of Health, Bethesda, MD 20894, USA
    BMC Evol Biol 2:18. 2002
    ..Exploration of different types of evolutionary models in an attempt to determine which of them lead to power law distributions has the potential of revealing non-trivial aspects of genome evolution...
  6. pmc Gene family evolution: an in-depth theoretical and simulation analysis of non-linear birth-death-innovation models
    Georgy P Karev
    National Center for Biotechnology Information, National Library of Medicine, National Institutes of Health, Bethesda, MD 20894, USA
    BMC Evol Biol 4:32. 2004
    ..Evolution of ensembles of gene families can be described with Birth, Death, and Innovation Models (BDIMs). Analysis of the properties of different versions of BDIMs has the potential of revealing important features of genome evolution...
  7. ncbi request reprint Simple stochastic birth and death models of genome evolution: was there enough time for us to evolve?
    Georgy P Karev
    National Center for Biotechnology Information, National Library of Medicine, National Institutes of Health, Bethesda, MD 20894, USA
    Bioinformatics 19:1889-900. 2003
    ....
  8. ncbi request reprint The structure of the protein universe and genome evolution
    Eugene V Koonin
    National Center for Biotechnology Information, National Library of Medicine, National Institutes of Health, Bethesda, Maryland 20894, USA
    Nature 420:218-23. 2002
    ..These findings suggest that genome evolution is driven by extremely general mechanisms based on the preferential attachment principle...
  9. ncbi request reprint Modeling genome evolution with a diffusion approximation of a birth-and-death process
    Georgy P Karev
    National Center for Biotechnology Information, National Library of Medicine, National Institutes of Health Bethesda, MD 20894, USA
    Bioinformatics 21:iii12-9. 2005
    ..We were interested in obtaining dynamic portraits of the genome evolution process by developing a diffusion approximation of BDIM...
  10. pmc The universal distribution of evolutionary rates of genes and distinct characteristics of eukaryotic genes of different apparent ages
    Yuri I Wolf
    National Center for Biotechnology Information, National Library of Medicine, National Institutes of Health, Bethesda, MD 20894, USA
    Proc Natl Acad Sci U S A 106:7273-80. 2009
    ..Thus, genome evolution fits a simple model with approximately uniform rates of gene gain and loss, without major bursts of genomic innovation...
  11. ncbi request reprint Biological applications of the theory of birth-and-death processes
    Artem S Novozhilov
    National Center for Biotechnology Information, National Library of Medicine, National Institutes of Health, Besthesda, MD 20894, USA
    Brief Bioinform 7:70-85. 2006
    ....
  12. ncbi request reprint Mathematical modeling of evolution of horizontally transferred genes
    Artem S Novozhilov
    National Center for Biotechnology Information, National Library of Medicine, National Institutes of Health, Maryland, USA
    Mol Biol Evol 22:1721-32. 2005
    ..Therefore, our modeling results are compatible with the notion of a pivotal role of horizontal gene transfer in the evolution of prokaryotes...