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DNA Unzipping via Stopped Birth and Death Processes with Unknown Transition Probabilities

Abstract : 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 was 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.
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https://hal.archives-ouvertes.fr/hal-00915251
Contributor : Roland Diel <>
Submitted on : Friday, December 6, 2013 - 7:25:00 PM
Last modification on : Tuesday, May 26, 2020 - 6:50:52 PM

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Roland Diel, Pierre Andreoletti. DNA Unzipping via Stopped Birth and Death Processes with Unknown Transition Probabilities. Applied Mathematics Research eXpress, Oxford University Press (OUP): Policy H - Oxford Open Option A, 2012, 2012, pp.184-208. ⟨10.1093/amrx/abs008⟩. ⟨hal-00915251⟩

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