Quasispecies Theory for Multiple-Peak Fitness Landscapes
arXiv:q-bio/0608029 · doi:10.1103/PhysRevE.73.041913
Abstract
We use a path integral representation to solve the Eigen and Crow-Kimura molecular evolution models for the case of multiple fitness peaks with arbitrary fitness and degradation functions. In the general case, we find that the solution to these molecular evolution models can be written as the optimum of a fitness function, with constraints enforced by Lagrange multipliers and with a term accounting for the entropy of the spreading population in sequence space. The results for the Eigen model are applied to consider virus or cancer proliferation under the control of drugs or the immune system.
arXiv comment10 pages, 3 figures, 2 tables
References in corpus (7)
- Pulling Pinned Polymers and Unzipping DNA
- Sequence Space Localization in the Immune System Response to Vaccination and Disease
- Eigen model as a quantum spin chain: exact dynamics
- A Solvable Sequence Evolution Model and Genomic Correlations
- Quasispecies evolution in general mean-field landscapes
- Unzipping of DNA with correlated base-sequence
- Correlations in the T Cell Response to Altered Peptide Ligands
Cited by in corpus (15)
- Phase Diagrams of Quasispecies Theory with Recombination and Horizontal Gene Transfer
- Evolution in a Changing Environment
- Quasispecies theory for finite populations
- Quasispecies Theory for Horizontal Gene Transfer and Recombination
- The intermediate evolution phase in case of truncated selection
- Schwinger Boson Formulation and Solution of the Crow-Kimura and Eigen Models of Quasispecies Theory
- Evolutionary dynamics of the most populated genotype on rugged fitness landscapes
- Finite population size effects in quasispecies models with single-peak fitness landscape
- Biological Evolution in a Multidimensional Fitness Landscape
- Solution of the Crow-Kimura and Eigen models for alphabets of arbitrary size by Schwinger spin coherent states
- Finite genome length corrections for the mean fitness and gene probabilities in evolution models
- Catastrophic shifts and lethal thresholds in a propagating front model of unstable tumour progression
- Quasispecies distribution of Eigen model
- Anderson Localization, Non-linearity and Stable Genetic Diversity
- Theoretical Aspects of Immunity