## Evolutionary Dynamics: Exploring the Equations of LifeAt a time of unprecedented expansion in the life sciences, evolution is the one theory that transcends all of biology. Any observation of a living system must ultimately be interpreted in the context of its evolution. Evolutionary change is the consequence of mutation and natural selection, which are two concepts that can be described by mathematical equations. Evolutionary Dynamics is concerned with these equations of life. In this book, Martin A. Nowak draws on the languages of biology and mathematics to outline the mathematical principles according to which life evolves. His work introduces readers to the powerful yet simple laws that govern the evolution of living systems, no matter how complicated they might seem. Evolution has become a mathematical theory, Nowak suggests, and any idea of an evolutionary process or mechanism should be studied in the context of the mathematical equations of evolutionary dynamics. His book presents a range of analytical tools that can be used to this end: fitness landscapes, mutation matrices, genomic sequence space, random drift, quasispecies, replicators, the Prisoner’s Dilemma, games in finite and infinite populations, evolutionary graph theory, games on grids, evolutionary kaleidoscopes, fractals, and spatial chaos. Nowak then shows how evolutionary dynamics applies to critical real-world problems, including the progression of viral diseases such as AIDS, the virulence of infectious agents, the unpredictable mutations that lead to cancer, the evolution of altruism, and even the evolution of human language. His book makes a clear and compelling case for understanding every living system—and everything that arises as a consequence of living systems—in terms of evolutionary dynamics. |

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#### LibraryThing Review

User Review - amarcobio - LibraryThingNowak's writing is always engaging, and this book is no exception. It provides an alternative view to the classic allele population genetics. Specifically, he strongly relies in game theory. It is a good complement to more classic texts to prepare a course. Read full review

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演化动力学：探索生命的方程

### Contents

Introduction | 1 |

What Evolution Is | 9 |

Fitness Landscapes and Sequence Spaces | 27 |

Evolutionary Games | 45 |

Prisoners of the Dilemma | 71 |

Finite Populations | 93 |

Games in Finite Populations | 107 |

Evolutionary Graph Theory | 123 |

HIV Infection | 167 |

Evolution of Virulence | 189 |

Evolutionary Dynamics of Cancer | 209 |

Language Evolution | 249 |

Conclusion | 287 |

Further Reading | 295 |

311 | |

349 | |

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### Common terms and phrases

advantageous mutant ALLC ALLD allele antigenic diversity arises average fitness basic reproductive basic reproductive ratio biology chromosomes CIN genes compartment cycle defect defectors denotes describes deterministic differential equation disease dominated error threshold evolutionarily stable strategy evolutionary dynamics evolutionary game dynamics evolutionary game theory Figure finite languages finite populations fitness landscape fixation probability frequency frequency-dependent selection genetic instability genome given graph GTFT Hence human inactivation increase individual infected host infinite initial interaction large population lead learner learning linear Lotka-Volterra equation mathematical Moran process mutation rate Nash equilibrium natural selection neutral Nowak oncogenes parameter region parasite strains payoff matrix players Prisoner's Dilemma quasispecies random rate-limiting hits reach fixation relative fitness replicator equation selection dynamics selection favors sentences sequence space simplex stable equilibrium strain-specific strategy strict Nash equilibrium superinfection tion Tit-for-tat tumor suppressor gene universal grammar vertex viral virus load weak selection WSLS