4 papers
Mathematical modeling of evolution of horizontally transferred genes
Artem S. Novozhilov, Georgy P. Karev, Eugene V. Koonin
We describe a stochastic birth-and-death model of evolution of horizontally transferred genes in microbial populations. The model is a generalization of the stochastic model descri…
Biological applications of the theory of birth-and-death processes
Artem S. Novozhilov, Georgy P. Karev, Eugene V. Koonin
In this review, we discuss the applications of the theory of birth-and-death processes to problems in biology, primarily, those of evolutionary genomics. The mathematical principle…
Simple stochastic birth and death models of genome evolution: Was there enough time for us to evolve?
Georgy P. Karev, Yuri I. Wolf, Eugene V. Koonin
We show that simple stochastic models of genome evolution lead to power law asymptotics of protein domain family size distribution. These models, called Birth, Death and Innovation…
Modeling genome evolution with a diffusion approximation of a birth-and-death process
Georgy P. Karev, Faina S. Berezovskaya, Eugene V. Koonin
In our previous studies, we developed discrete-space Birth, Death and Innovation Models (BDIM) of genome evolution. These models explain the origin of the characteristic Pareto dis…