6 citations
- National Center for Biotechnology InformationUS3 papers
- National Institutes of HealthUS3 papers
- Nankai UniversityCN2 papers
- Arizona State UniversityUS1 paper
- Georgia Institute of TechnologyUS1 paper
- Oak Ridge Institute for Science and Education1 paper
- University of Maryland, College ParkUS1 paper
- University of MichiganUS1 paper
- University of OuluFI1 paper
8 papers
Matrix Identities on Weighted Partial Motzkin Paths
William Y. C. Chen, Nelson Y. Li, Louis W. Shapiro +1
We give a combinatorial interpretation of a matrix identity on Catalan numbers and the sequence which has been derived by Shapiro, Woan and Getu by using Ri…
Modeling the dynamics of inhomogeneous natural rotifer populations under toxicant exposure
Georgy P. Karev, Artem S. Novozhilov, Faina S. Berezovskaya
Most population models assume that individuals within a given population are identical, that is, the fundamental role of variation is ignored. Here we develop a general approach to…
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…
Modeling the dynamics of natural rotifer populations: phase-parametric analysis
Faina S. Berezovskaya, Georgy P. Karev, Terry W. Snell
A model of the dynamics of natural rotifer populations is described as a discrete nonlinear map depending on three parameters, which reflect characteristics of the population and e…
Traveling wave solutions of Fitzhugh model with cross-diffusion
F. Berezovskaya, E. Camacho, S. Wirkus +1
The Fitzhugh-Nagumo equations have been used as a caricature of the Hodgkin-Huxley equations of neuron firing to better understand the essential dynamics of the interaction of the…
Parity Reversing Involutions on Plane Trees and 2-Motzkin Paths
William Y. C. Chen, Louis W. Shapiro, Laura L. M. Yang
The problem of counting plane trees with edges and an even or an odd number of leaves was studied by Eu, Liu and Yeh, in connection with an identity on coloring nets due to Sta…