## 108 Citations

### Maximum, minimum, and optimal mutation rates in dynamic environments.

- BiologyPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2009

It is found that the optimal mutation rate per genome, k/T , is independent of genome size, a relationship which is observed across broad groups of real organisms.

### Polymorphism in rapidly changing cyclic environment.

- BiologyPhysical review. E
- 2019

The impact of the uncovered polymorphism scenario on the models of diversity is exemplified via the rock-paper-scissors dynamics, and also via the prisoner's dilemma in a time-periodic environment.

### Optimal mutation rates in dynamic environments: The Eigen model.

- BiologyPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2010

Interestingly it is found that the optimum mutation rate in the Eigen model is lower than that in the Crow-Kimura model, and at their optimum mutation rates the corresponding mean fitness in the eigenmodel is lowerthan that inThe Crow- Kimuramodel, suggesting that the mutation process which occurs in parallel to the replication process as in the crow-KimURA model gives an adaptive advantage under changing environment.

### Adaptation in simple and complex fitness landscapes

- Biology
- 2005

The stationary population distribution in simple, single peak fitness landscapes is discussed at length, with particular emphasis on the error threshold phenomenon.

### Digital Evolution in Time-Dependent Fitness Landscapes

- Environmental ScienceArtificial Life
- 2004

The response of populations of digital organisms that adapt to a time-varying fitness landscape of two oscillating peaks is studied, corroborating in general predictions from quasi-species theory in dynamic landscapes such as adaptation to the average fitness landscape at small periods and quasistatic adaptation at large periods.

### Digital Evolution in Time-Dependent Fitness

- Environmental Science
- 2004

The response of populations of digital organisms that adapt to a time-varying fitness landscape of two oscillating peaks is studied, corroborating in general predictions from quasi-species theory in dynamic landscapes such as adaptation to the average fitness landscape at small periods and quasistatic adaptation at large periods.

### Size scaling of mutation avalanches in a model for protein evolution.

- BiologyJournal of theoretical biology
- 2003

The tunably rugged NK-model is used to study avalanche-like events that occur when environmental change causes fitness optima to disappear, and average values of Delta increase logarithmically with system size.

### Dynamic fitness and horizontal gene transfer in stochastic evolutionary dynamics

- Biology
- 2013

A new model for horizontal gene transfer is provided and it is shown how it drives evolutionary dynamics in populations exhibiting a high or a low competence for HGT, demonstrating how frequently occuring HGT can lead to an evolutionary state where no distinct species can be distinguished.

### Error Thresholds in Single-Peak Gaussian Distributed Fitness Landscapes

- Environmental Science
- 2007

Based on the Eigen and Crow?Kimura models with a single-peak fitness landscape, we propose the fitness values of all sequence types to be Gaussian distributed random variables to incorporate the…

## References

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- BiologyBulletin of mathematical biology
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- BiologyGenetics
- 1989

It is argued that, so long as the actual cost exceeds this value, the evolution rate at the main locus must be smaller than its mutation rate mu(ess), and that the component with the longest period is the most effective in determining mu(ESS) (low pass filter effect).

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- Biology
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- MathematicsTheor. Comput. Sci.
- 1999

### Genetic Algorithms in Time-Dependent Environments

- Computer ScienceArXiv
- 1999

A schematic phase diagram is constructed that allows one to characterize the asymptotic states in dependence on the mutation rate and the time scale of changes, and the notion of regular changes is raised for which the population can be shown to converge towards a generalized quasispecies.

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- BiologyGenetics
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- Biology
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- MathematicsJournal of theoretical biology
- 1987

### Error threshold in simple landscapes

- Computer Science
- 1996

It is shown that, in both cases, the error threshold is analogous to a first-order thermodynamical transition, where the overlap between the average genotype and the optimal one drops discontinuously to zero.