Journal of Mathematical Biology

, Volume 74, Issue 1–2, pp 149–168 | Cite as

On evolution operators of genetic coalgebras

Article
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Abstract

We characterize evolutionary operators acting on coalgebras with genetic realization modeling the backwards genetic inheritance in Mendelian genetic systems. This characterization is made in terms of the different slices of the cubic stochastic matrix of type (1,2) given by the transition probabilities defining the genetic coalgebra comultiplication. We use the obtained characterization to describe all possible equilibrium states a genetic population can reach when tracing the genetic information one generation back.

Keywords

Evolution operator Genetic coalgebra Cubic stochastic matrix 

Mathematics Subject Classification

92D25 17D92 15B51 92D10 16W99 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  1. 1.Department of Statistics and Operative ResearchPublic University of NavarrePamplonaSpain

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