Browsing FAS Scholarly Articles by Keyword "mathematical biology"

Now showing items 1-6 of 6

    • 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 ...

    • Evolutionary dynamics of cancer in response to targeted combination therapy 

      Bozic, Ivana; Reiter, Johannes G; Allen, Benjamin; Antal, Tibor; Chatterjee, Krishnendu; Shah, Preya; Moon, Yo Sup; Yaqubie, Amin; Kelly, Nicole; Le, Dung T; Lipson, Evan J; Chapman, Paul B; Diaz, Luis A; Vogelstein, Bert; Nowak, Martin A (eLife Sciences Publications, Ltd, 2013)
      In solid tumors, targeted treatments can lead to dramatic regressions, but responses are often short-lived because resistant cancer cells arise. The major strategy proposed for overcoming resistance is combination therapy. ...

    • 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 ...

    • 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 ...

    • Stochastic Evolutionary Dynamics of Direct Reciprocity 

      Imhof, Lorens A.; Nowak, Martin A. (Royal Society, The, 2010)
      Evolutionary game theory is the study of frequency-dependent selection. The success of an individual depends on the frequencies of strategies that are used in the population. We propose a new model for studying evolutionary ...