Repeat distributions from unequal crossovers

• Autorzy: Michael Baake
• Języki publikacji: EN

Abstrakty

EN

It is a well-known fact that genetic sequences may contain sections with repeated units, called repeats, that differ in length over a population, with a length distribution of geometric type. A simple class of recombination models with single crossovers is analysed that result in equilibrium distributions of this type. Due to the nonlinear and infinite-dimensional nature of these models, their analysis requires some nontrivial tools from measure theory and functional analysis, which makes them interesting also from a mathematical point of view. In particular, they can be viewed as quadratic, hence nonlinear, analogues of Markov chains.

Kategorie tematyczne

• 60B10: Convergence of probability measures
• 92D10: Genetics
• 46B50: Compactness in Banach (or normed) spaces
• 92D25: Population dynamics (general)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2008
• Tom: 80
• Numer: 1
• Strony: 53-70

Daty

wydano

2008

Twórcy

autor

Michael Baake

• Fakultät für Mathematik, Universität Bielefeld, Postfach 100131, 33501 Bielefeld, Germany

Identyfikatory

DOI

10.4064/bc80-0-3