DNA unzipping via stopped birth and death processes with random probability transition
Résumé
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 random probabilities of transition. 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, also we add some generalizations comparing to the initial model allowing us to answer some questions asked by the physicists.
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