Dynamics of the life history of a DNA-repeat sequence

• Autorzy: Bobrowski A. , Kimmel M.
• Języki publikacji: EN

Abstrakty

EN

We consider a model of evolution of a DNA-repeat sequence, which takes into account stepwise extension/contraction events occurring with intensities proportional to the sequence length and the possibility of catastrophic breakdowns. The model was originally introduced by Kruglyak et al. [Proc. Natl. Acad. Sci. USA, 1998, 95: 10774-10778], in a slightly different form, and used for between-species comparisons of short DNA-repeat data. In the present paper, we investigate the dynamics of absorption in the model, which is equivalent to the elimination of the DNA-repeat sequence. Using the theory of Markov chains and stochastic semigroups, we obtain explicit expressions for the distributions of the process and for the time to absorption. We estimate median times to absorption for a range of coefficient values and discuss their relevance in view of known data for human and chimpanzee DNA-repeat sequences.

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 1999
• Tom: Vol. 9, no. 1/2
• Strony: 57--67
• Opis fizyczny: Bibliogr. poz. 12

Twórcy

autor

Bobrowski A.

autor

Kimmel M.

• Department of Mathematics, University of Houston, USA oraz Katedra Matematyki Wydziału Elektrycznego, Politechnika Lubelska