Quasispecies Equation and Classical Population Models

Quasispecies Equation and Classical Population Models

Dalmau, Joseba; Cerf, Raphael

Springer International Publishing AG

07/2022

242

Dura

Inglês

9783031086625

15 a 20 dias

547

Descrição não disponível.
1. Introduction.- Part I.Finite Genotype Space.- 2. The Quasispecies equation.- 3. Non-Overlapping Generations.- 4. Overlapping Generations.- 5. Probabilistic Representations.- Part II. The Sharp Peak Landscape.- 6. Long Chain Regime.- 7. Error Threshold and Quasispecies.- 8. Probabilistic Derivation.- 9. Summation of the Series.- 10. Error Threshold in Infinite Populations.- Part III. Error Threshold in Finite Populations.- 11.Phase Transition.- 12. Computer Simulations.- 13. Heuristics.- 14. Shape of the Critical Curve.- 15. Framework for the Proofs.- Part IV. Proof for Wright-Fisher.- 16. Strategy of the Proof.- 17. The Non-Neutral Phase M.- 18. Mutation Dynamics.- 19. The Neutral Phase N.- 20. Synthesis.- Part V. Class-Dependent Fitness Landscapes.- 21. Generalized Quasispecies Distributions.- 22. Error Threshold.- 23. Probabilistic Representation.- 24. Probabilistic Interpretations.- 25. Infinite Population Models.- Part VI. A Glimpse at the Dynamics.- 26. Deterministic Level.- 27. From Finite to Infinite Population.- 28. Class-Dependent Landscapes.- A. Markov Chains and Classical Results.- References.- Index.
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Analysis of Quasispecies equation;Manfred Eigen quasispecies model;Population models book;Mutation-Selection equilibrium analysis;Markov chains mathematical biology;Wright-Fisher model;Long Chain Regime;Galton-Watson model biology;Population Genetics;Moran-Kingman model;Raphael Cerf math;Joseba Dalmau