Erlang renewal models for genetic recombination
نویسنده
چکیده
Closed form expressions for multilocus probabilities are given for the crossover process when it is a renewal process with the distance between crossovers modeled by a Erlang distribution. Closed form expressions are also given for the multilocus probabilities for the chiasma process on the four strand bundle under the same model of recombination for single gamete and for tetrad data. These expressions yield explicit formulas for the map functions, coincidence functions and distributions of the identityby-descent process for a class of models that incorporate interference. The alternating renewal models used may be of interest in other elds, e.g. telecommunication networks and queues, where they can be used to model the busy/non-busy state of a system with bu ers. Abbreviated title: Erlang models for recombination AMS 1991 subject calssi cations: Primary 92D10; secondary 60K05.
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