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Measuring epistasis in fitness landscapes: The correlation of fitness effects of mutations.
Evolutionary Accessibility of Modular Fitness Landscapes
The block model can be viewed as a special case of Kauffman’s NK-model, and it is shown that the number of accessible paths can be written as a product of the path numbers within the blocks, which provides a detailed analytic description of the paths statistics.
Universality Classes of Interaction Structures for NK Fitness Landscapes
A unified framework for computing the exponential growth rate of the expected number of local fitness maxima as a function of L is developed, and two different universality classes of interaction structures that display different asymptotics of this quantity for large k are identified.
Measuring epistasis in fitness landscapes: the correlation of fitness effects of mutations
A new natural measure of the amount of epistasis based on the correlation of fitness effects of mutations, which has a natural interpretation, captures well the interaction between mutations and can be obtained analytically for most landscape models.
Accessibility Percolation on Cartesian Power Graphs
This work derives a lower bound on $\beta^\ast$ for general $A$ and conjecture that this bound is tight for a large class of allele graphs, and compares favorably to published numerical results for multiallelic Hamming graphs.
Epistasis and constraints in fitness landscapes
This work proposes two new sets of measures that explicitly capture two relevant features of fitness landscapes: epistasis and constraints, and shows how these measures can help uncovering the amount and the nature of epistatic interactions in two experimental landscapes.
Sign Epistatis Networks
- Benjamin Schmiegelt
- Computer Science
- 18 July 2016
A notation for a low-dimensional representation of (reciprocal) sign epistasis on the space of genetic loci is introduced for these models and used to derive sign-dependent properties, in particular the so called accessibility property of the landscape.