@article{oai:sucra.repo.nii.ac.jp:00013347,
 author = {相田, 拓洋 and 伏見, 譲},
 issue = {2},
 journal = {JOURNAL OF THEORETICAL BIOLOGY},
 month = {},
 note = {http://www.sciencedirect.com/science/journal/00225193 | http://www.sciencedirect.com/science/journal/00225193, We have theoretically studied the statistical properties of adaptive walks (or hill-climbing) on a Mt. Fuji-type fitness landscape in the multi-dimensional sequence space through mathematical analysis and computer simulation. The adaptive walk is characterized by the "mutation distance" d as the step-width of the walker and the "population size" N as the number of randomly generated d-fold point mutants to be screened. In addition to the fitness W, we introduced the following quantities analogous to thermodynamical concepts: "free fitness" G(W) drop W + T x S(W), where T is the "evolutionary temperature" T proportional to rootd/lnN and S(W) is the entropy as a function of W, and the "evolutionary force" X drop d(G(W)/T)/dW, that is caused by the mutation and selection pressure. It is known that a single adaptive walker rapidly climbs on the fitness landscape up to the stationary state where a "mutation-selection-random drift balance" is kept. In our interpretation, the walker tends to the maximal free fitness state, driven by the evolutionary force X. Our major findings are as follows: First, near the stationary point W*, the "climbing rate" J as the expected fitness change per generation is described by J approximate to L x X with L approximate to V/2, where V is the variance of fitness distribution on a local landscape. This simple relationship is analogous to the well-known Einstein relation in Brownian motion. Second, the "biological information gain" (DeltaG/T) through adaptive walk can be described by combining the Shannon's information gain (DeltaS) and the "fitness information gain" (DeltaW/T). (C) 2003 Elsevier Ltd. All rights reserved., text, application/pdf},
 pages = {215--228},
 title = {Thermodynamical Interpretation of an Adaptive Walk on a Mt. Fuji-type Fitness Landscape: Einstein Relation-like Formula Holds in a Stochastic Evolution},
 volume = {225},
 year = {2003},
 yomi = {アイタ, タクヨウ and フシミ, ユズル}
}