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Evolutionary dynamics, in biology, is the study of the mathematical principles according to which life has evolved and continues to evolve. This is mostly achieved through the mathematical discipline of population genetics. Most population genetics considers changes in the frequencies of alleles at a small number of geneloci. When infinitesimal effects at a large number of gene loci are considered, one derives quantitative genetics. Traditional population genetic models deal with alleles and genotypes, and are frequently stochastic. In evolutionary game theory, developed first by John Maynard Smith, evolutionary biology concepts may take a deterministic mathematical form, with selection acting directly on inherited phenotypes. These models have relevance also to the generation and maintenance of tissues in mammals, since an understanding of tissue cell kinetics, architecture, and development from adult stem cells has important implications for aging and cancer.
^Emmanuel Tannenbaum, James L Sherley and Eugene I Shakhnovich "Evolutionary dynamics of adult stem cells: comparison of random and immortal-strand segregation mechanisms" Physical Review E 71 (2005) 041914. http://dx.doi.org/10.1103/PhysRevE.71.041914