Schwinger Boson Formulation and Solution of the Crow-Kimura and Eigen Models of Quasispecies Theory
Jeong-Man Park, Michael W. Deem
Abstract
We express the Crow-Kimura and Eigen models of quasispecies theory in a functional integral representation. We formulate the spin coherent state functional integrals using the Schwinger Boson method. In this formulation, we are able to deduce the long-time behavior of these models for arbitrary replication and degradation functions. We discuss the phase transitions that occur in these models as a function of mutation rate. We derive for these models the leading order corrections to the infinite genome length limit.
Create a lesson
Related papers
Observation delays can bias inference of selective advantage in evolutionary competition
Robert Valaska, Katarina Bodova
Linking individual bioenergetics to ecosystem dynamics with integral projection models
Willem Bonnaffé, Martina Muraro, William Goulding et al.
Two blind spots in the demographic inference of human origins from genomic data
Ryan N Gutenkunst
Reservoir: A Large-Scale Simulated Dataset for Training and Evaluating Epidemiological Models
Carson Dudley, Reiden Magdaleno, Marisa Eisenberg
What sets the critical genome length for sympatric speciation? A closed form and asymptotic theory
Dan Braha, Marcus A. M. de Aguiar, Vitor M. Marquioni
The emergence and evolution of a referential code in populations of bee-like agents
Grzegorz Chrupała