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Exact results for amplitude spectra of fitness landscapes.
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Adaptive walks and extreme value theory.
TLDR
Assigning fitness randomly to genotypes, it is shown that the mean walk length is logarithmic in the number of initially available beneficial mutations, with a prefactor determined by the tail of the fitness distribution.
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Adaptation in Tunably Rugged Fitness Landscapes: The Rough Mount Fuji Model
TLDR
A simple fitness landscape model with tunable ruggedness based on the rough Mount Fuji (RMF) model originally introduced by Aita et al. in the context of protein evolution is proposed and compared to the known behavior in the MLM model.
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Multidimensional Epistasis and the Transitory Advantage of Sex
TLDR
It is shown that the adaptive advantage of recombination on static rugged landscapes is strictly transitory and can be prolonged indefinitely in fluctuating environments, and it is maximal when the environment fluctuates on the same time scale on which trapping at local optima typically occurs.
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Phase transition in random adaptive walks on correlated fitness landscapes.
TLDR
The considered process is equivalent to a zero temperature Metropolis dynamics for the random energy model in an external magnetic field, thus also providing insight into the aging dynamics of spin glasses.
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Greedy adaptive walks on a correlated fitness landscape.
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Interaction Analysis of Longevity Interventions Using Survival Curves
TLDR
A mathematical approach is formulated for predicting the survival curve resulting from a combination of two independent interventions based on the survival curves of the individual treatments, and interaction between interventions is quantified as the deviation from this prediction.
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Fitness Landscapes, Adaptation and Sex on the Hypercube
TLDR
In this thesis, several models of fitness landscapes are analyzed with different analytical and numerical methods to identify characteristics in order to compare the model landscapes to experimental measurements.
Superposition of survival curves as a tool for epistasis analysis of longevity interventions
TLDR
Superposition principles are formulated that predict the survival curve resulting from a combination of two interventions based on the survival curves of the individual treatments, and quantify epistasis as the deviation from this prediction.
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