Now showing items 1-14 of 14

    • The Basic Reproductive Ratio of Life 

      Manapat, Michael L.; Chen, Irene Ann; Nowak, Martin A. (Elsevier, 2010)
      Template-directed polymerization of nucleotides is believed to be a pathway for the replication of genetic material in the earliest cells. We assume that activated monomers are produced by prebiotic chemistry. These monomers ...
    • Dynamics of HIV treatment and social contagion 

      Hill, Alison Lynn (2013-10-08)
      Modern-day management of infectious diseases is critically linked to the use of mathematical models to understand and predict dynamics at many levels, from the mechanisms of pathogenesis to the patterns of population-wide ...
    • Evolution of Cooperation by Phenotypic Similarity 

      Antal, Tibor; Ohtsuki, Hisashi; Wakeley, John R.; Taylor, Peter D.; Nowak, Martin A. (National Academy of Sciences, 2009)
      The emergence of cooperation in populations of selfish individuals is a fascinating topic that has inspired much work in theoretical biology. Here, we study the evolution of cooperation in a model where individuals are ...
    • The evolution of non-reproductive workers in insect colonies with haplodiploid genetics 

      Olejarz, Jason W; Allen, Benjamin; Veller, Carl; Nowak, Martin A (eLife Sciences Publications, Ltd, 2015)
      Eusociality is a distinct form of biological organization. A key characteristic of advanced eusociality is the presence of non-reproductive workers. Why evolution should produce organisms that sacrifice their own reproductive ...
    • Evolutionary Cycles of Cooperation and Defection 

      Imhof, Lorens A.; Fudenberg, Drew; Nowak, Martin A. (National Academy of Sciences, 2005)
      The main obstacle for the evolution of cooperation is that natural selection favors defection in most settings. In the repeated prisoner's dilemma, two individuals interact several times, and, in each round, they have a ...
    • Evolutionary Games on Cycles 

      Ohtsuki, Hisashi; Nowak, Martin A. (Royal Society, The, 2006)
      Traditional evolutionary game theory explores frequency-dependent selection in well-mixed populations without spatial or stochastic effects. But recently there has been much interest in studying the evolutionary game ...
    • Evolutionary models of clonal expansion and niche construction 

      Heyde, Alexander (2022-05-11)
      Heart disease and cancer, the two leading causes of death in the industrialized world, are linked to expansions of clonal cell populations in the body, driven by the evolutionary processes of mutation, selection, drift, ...
    • The Fastest Evolutionary Trajectory 

      Traulsen, Arne; Iwasa, Yoh; Nowak, Martin A. (Elsevier, 2007)
      Given two mutants, A and B, separated by n mutational steps, what is the evolutionary trajectory which allows a homogeneous population of A to reach B in the shortest time? We show that the optimum evolutionary trajectory ...
    • Imitation Dynamics of Vaccination Behaviour on Social Networks 

      Fu, Feng; Rosenbloom, Daniel I; Wang, Longfei; Nowak, Martin A. (Royal Society of London, 2011)
      The problem of achieving widespread immunity to infectious diseases by voluntary vaccination is often presented as a public-goods dilemma, as an individual's vaccination contributes to herd immunity, protecting those who ...
    • Massively Parallel Model of Extended Memory Use in Evolutionary Game Dynamics 

      Randles, Amanda Elizabeth; Rand, David Gertler; Lee, Christopher; Sircar, Jayanta K.; Nowak, Martin A.; Pfister, Hanspeter (IEEE, 2013)
      To study the emergence of cooperative behavior, we have developed a scalable parallel framework for evolutionary game dynamics. This is a critical computational tool enabling large-scale agent simulation research. An ...
    • The One-Third Law of Evolutionary Dynamics 

      Ohtsuki, Hisashi; Bordalo, Pedro; Nowak, Martin A. (Elsevier, 2007)
      Evolutionary game dynamics in finite populations provide a new framework for studying selection of traits with frequency-dependent fitness. Recently, a “one-third law” of evolutionary dynamics has been described, which ...
    • Originator Dynamics 

      Manapat, Michael L.; Ohtsuki, Hisashi; Bürger, Reinhard; Nowak, Martin A. (Elsevier, 2009)
      We study the origin of evolution. Evolution is based on replication, mutation, and selection. But how does evolution begin? When do chemical kinetics turn into evolutionary dynamics? We propose “prelife” and “prevolution” ...
    • Prelife Catalysts and Replicators 

      Ohtsuki, Hisashi; Nowak, Martin A. (Royal Society, The, 2009)
      Life is based on replication and evolution. But replication cannot be taken for granted. We must ask what there was prior to replication and evolution. How does evolution begin? We have proposed prelife as a generative ...
    • The Replicator Equation on Graphs 

      Ohtsuki, Hisashi; Nowak, Martin A. (Elsevier, 2006)
      We study evolutionary games on graphs. Each player is represented by a vertex of the graph. The edges denote who meets whom. A player can use any one of n strategies. Players obtain a payoff from interaction with all their ...