HAL : hal-00551460, version 2

arXiv : 1101.0559

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v1 (03-01-2011)

v2 (09-02-2012)

DNA unzipping via stopped birth and death processes with unknown transition probabilities

Pierre Andreoletti 1, Roland Diel 1

(03/01/2011)

In this paper we provide an alternative approach to the works of the physicists S. Cocco and R. Monasson about a model of DNA molecules. The aim is to predict the sequence of bases by mechanical stimulations. The model described by the physicists is a stopped birth and death process with unknown transition probabilities. We consider two models, a discrete in time and a continuous in time, as general as possible. We show that explicit formula can be obtained for the probability to be wrong for a given estimator, and apply it to evaluate the quality of the prediction. Also we add some generalizations comparing to the initial model allowing us to answer some questions asked by the physicists.

1 :	Mathématiques - Analyse, Probabilités, Modélisation - Orléans (MAPMO)
	Université d'Orléans – CNRS : UMR7349

Domaine

:

Statistiques/Applications

Mots Clés : DNA unzipping – birth and death processes – random environment – maximum of likelihood

hal-00551460, version 2

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Contributeur : Pierre Andreoletti <>

Soumis le : Mercredi 8 Février 2012, 14:02:05

Dernière modification le : Jeudi 9 Février 2012, 11:54:45