Simple Mathematical Model Of Pathologic Microsatellite Expansions: When Self-Reparation Does Not Work

Details Simple Mathematical Model Of Pathologic Microsatellite Expansions: When Self-Reparation Does Not Work Simple Mathematical Model Of Pathologic Microsatellite Expansions: When Self-Reparation Does Not Work

2007-07-29

arxiv.org/abs/0707.4318v1

J. Theor. Biol., 2006, v. 242, 401--408

Biology

Quantitative Biology

Genomics

Scientific paper

10.1016/j.jtbi.2006.03.008

We propose a simple model of pathologic microsatellite expansion, and describe an inherent self-repairing mechanism working against expansion. We prove that if the probabilities of elementary expansions and contractions are equal, microsatellite expansions are always self-repairing. If these probabilities are different, self-reparation does not work. Mosaicism, anticipation and reverse mutation cases are discussed in the framework of the model. We explain these phenomena and provide some theoretical evidence for their properties, for example the rarity of reverse mutations.

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