title: Funnel landscape and mutational robustness as a result of evolution under thermal noise.
abstract: Using a statistical-mechanical model of spins, the evolution of phenotype dynamics is studied. Configurations of spins and their interaction J represent the phenotype and genotype, respectively. The fitness for selection of J is given by the equilibrium spin configurations determined by a Hamiltonian with J under thermal noise. The genotype J evolves through mutational changes under selection pressure to raise its fitness value. From Monte Carlo simulations we find that the frustration around the target spins disappears for J evolved under temperature beyond a certain threshold. The evolved Js give the funnel-like dynamics, which is robust to noise and also to mutation.
authors.affiliation: Graduate School of Arts and Sciences, The University of Tokyo, Komaba, Meguro-ku, Tokyo 153-8902, Japan.
authors.forename: Ayaka
authors.initials: A
authors.lastname: Sakata
authors.forename: Koji
authors.initials: K
authors.lastname: Hukushima
authors.forename: Kunihiko
authors.initials: K
authors.lastname: Kaneko
mesh_terms: D000818:Animals; D005075:Biological Evolution; D003198:Computer Simulation; D005828:Genetics, Population; D005838:Genotype; D006801:Humans; D008957:Models, Genetic; D015233:Models, Statistical; D012641:Selection, Genetic