1984
DOI: 10.1007/bf01011839
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Diffusion and reaction in random media and models of evolution processes

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Cited by 84 publications
(30 citation statements)
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“…branching. Other applications are: Fisher-Eigen equation in Darwinian evolution (Ebeling et al (1984)) Burgers' equation with a random force in hydrodynamics (Carmona and Molchanov (1994)). …”
mentioning
confidence: 99%
“…branching. Other applications are: Fisher-Eigen equation in Darwinian evolution (Ebeling et al (1984)) Burgers' equation with a random force in hydrodynamics (Carmona and Molchanov (1994)). …”
mentioning
confidence: 99%
“…Under conditions of strong selection and small mutation rate, such a population will rapidly climb a local fitness maximum, where it then resides for a long time, until a rare, large fluctuation allows it to cross the valley to a more favorable peak. At least in the limit of infinite population size [5], the mathematics of this process is closely related to physical problems such as noise-driven barrier crossing, tunneling [6] and variablerange hopping [7], and it is easy to show that the residence time at one peak can be vastly larger than the time required for the transition to the next [8]. In a rugged fitness landscape, the sequence of transitions forms an evolutionary trajectory, which probes the distribution of fitness peaks and the geometry of the landscape.…”
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confidence: 99%
“…We conclude (i) by suggesting that quasispecies can be conceived as a percolation model and (ii) forcibly stating the concept that there is an interesting analogy in the modeling of evolution processes on the one hand and disordered states on the other, which may support further investigation in this "eld of biophysics (Ebeling et al, 1984;Zel'dovich, 1938). The properties of &&rugged'' landscapes with multiple peaks and valleys resulting from the assumption that "tnesses take any values between zero and one have also been studied (Kau!man & Levin, 1987).…”
Section: Discussionmentioning
confidence: 96%