# Length of adaptive walk on uncorrelated and correlated fitness landscapes.

@article{Seetharaman2014LengthOA, title={Length of adaptive walk on uncorrelated and correlated fitness landscapes.}, author={Sarada Seetharaman and Kavita Jain}, journal={Physical review. E, Statistical, nonlinear, and soft matter physics}, year={2014}, volume={90 3}, pages={ 032703 } }

We consider the adaptation dynamics of an asexual population that walks uphill on a rugged fitness landscape which is endowed with a large number of local fitness peaks. We work in a parameter regime where only those mutants that are a single mutation away are accessible, as a result of which the population eventually gets trapped at a local fitness maximum and the adaptive walk terminates. We study how the number of adaptive steps taken by the population before reaching a local fitness peak…

## 5 Citations

Exploiting the Adaptation Dynamics to Predict the Distribution of Beneficial Fitness Effects

- Biology, MedicinePloS one
- 2016

This work performed extensive stochastic simulations to study the adaptation dynamics on rugged fitness landscapes, and identified two quantities that can be used to distinguish the underlying distribution of beneficial fitness effects.

Long-term evolution on complex fitness landscapes when mutation is weak

- Biology, MedicineHeredity
- 2018

An integrated suite of mathematical tools for understanding evolution on time-invariant fitness landscapes when mutations occur sufficiently rarely that the population is typically monomorphic and evolution can be modeled as a sequence of well-separated fixation events are presented.

Universality Classes of Interaction Structures for NK Fitness Landscapes

- Mathematics, Biology
- 2017

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.

δ-exceedance records and random adaptive walks

- Mathematics, Physics
- 2016

We study a modified record process where the kth record in a series of independent and identically distributed random variables is defined recursively through the condition with a deterministic…

Evolution in the light of fitness landscape theory.

- Medicine, BiologyTrends in ecology & evolution
- 2019

It is demonstrated how the interpretation of experimental studies with respect to fitness landscape models enables a direct link between evolution, molecular biology, and systems biology.

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