Funnel landscape and mutational robustness as a result of evolution under thermal noise

Details Funnel landscape and mutational robustness as a result of evolution under thermal noise Funnel landscape and mutational robustness as a result of evolution under thermal noise

2008-07-08

arxiv.org/abs/0807.1216v3

Phys. Rev. Lett. 102, (2009)

Physics

Condensed Matter

Disordered Systems and Neural Networks

4pages, 4figures

Scientific paper

10.1103/PhysRevLett.102.148101

In biological systems, expression dynamics to shape a fitted phenotype for function has evolved through mutations to genes, as observed in the evolution of funnel landscape in protein. We study this evolutionary process with a statistical-mechanical model of interacting spins, where the fitted phenotype is represented by a configuration of a given set of "target spins" and interaction matrix J among spins is genotype evolving over generations. The expression dynamics is given by stochastic process with temperature T_S to decrease energy for a given set of J. The evolution of J is also stochastic with temperature T_J, following mutation in J and selection based on a fitness given by configurations of the target spins. Below a certain temperature T_S^{c2}, the highly adapted J evolves, whereasanother phase transition characterised by frustration occurs at T_S^{c1}

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