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Another meaningful concept is neutrality, which is basically a symmetry property: a neutral mutant behaves just like any host cell, and has the same invasion probability as any other cell (1/ N).
In a random-mating population with N diploid individuals, k = 2Nux, where u is the neutral mutation rate per gamete per unit time (time measured in the same units as for k) and x is the probability of ultimate fixation of a neutral mutant.
The average time for a successful neutral mutant to reach fixation is 4 N generations.
The same conclusion was drawn differently in [ 13], where the additive neutral mutant is defined as a neutral mutant which lies in the same neutral network as that of the original sequence.
Even at lower benefit of cooperation assortative linking can increase the fixation probability to a higher level than expected for a neutral mutant.
Since the fixation probability of a single neutral mutant would be 1/ N, fixation of cooperators is supported by evolution if ρ c > 1/ N [ 40]).
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By relating the fraction of neutral mutants at distance d to the average neutrality at distance d, we showed that this prevalence derives from the existence of many compensatory mutations at larger mutational distances.
For 100 randomly chosen RNA sequences of length L = 76, we measured both the fraction of neutral mutants w(d) as well as the average neutrality of neighbors of neutral mutants as a function of the distance d.
The compensatory mechanism by which increasing lethality can coincide with steady neutrality seems to be a decrease of the number of near neutral mutants.
Nonetheless, in the 1960s, Kimura (1968) proposed that the great majority of evolutionary changes at nucleotide level are caused by random genetic drift of selectively neutral mutants.
Second, that incorporating neutral mutants into such a walk significantly increases the final fitness encountered on that walk — indeed evolutionary walks including neutral steps often reach the global optimum in this model.
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