ArticleBulletin of mathematical biology2022
Relation Between the Number of Peaks and the Number of Reciprocal Sign Epistatic Interactions.
Article in Bulletin of mathematical biology, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. An erratum has been issued. Cited by 3 papers.
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3 citing papers in PubMed.
- The adaptive landscapes of three globaleLife · 2026Article
- The highly rugged yet navigable regulatory landscape of the bacterial transcription factor TetR.Nature communications · 2024Article
- Exploring the Role of Clustered Mutations in Carcinogenesis and Their Potential Clinical Implications in Cancer.International journal of molecular sciences · 2024Review
Corrections and comments
- Erratum issued
Authors and funding
3 authors.
Funding
Abstract
Empirical essays of fitness landscapes suggest that they may be rugged, that is having multiple fitness peaks. Such fitness landscapes, those that have multiple peaks, necessarily have special local structures, called reciprocal sign epistasis (Poelwijk et al. in J Theor Biol 272:141-144, 2011). Here, we investigate the quantitative relationship between the number of fitness peaks and the number of reciprocal sign epistatic interactions. Previously, it has been shown (Poelwijk et al. in J Theor Biol 272:141-144, 2011) that pairwise reciprocal sign epistasis is a necessary but not sufficient condition for the existence of multiple peaks. Applying discrete Morse theory, which to our knowledge has never been used in this context, we extend this result by giving the minimal number of reciprocal sign epistatic interactions required to create a given number of peaks.
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