Startseite > Séminaires > Archives séminaires > Séminaires 2015 > Séminaire MSC. Lundi 19 janvier 2015. Raphaël Voituriez (Université Pierre et Marie Curie) : “First-passage times of random walks and transcription kinetics”.
Sauf mention contraire, les séminaires et les soutenances se déroulent à 11h30 en salle 454A du bâtiment Condorcet.
Raphaël Voituriez (LPTMC, Université Pierre et Marie Curie)
First-passage times of random walks and transcription kinetics
How long does it take a "searcher" to reach a "target" for the first time ? This first-passage time is a key quantity for evaluating the kinetics of various processes, and in particular chemical reactions involving "small" numbers of particles. A striking example is given by gene transcription, where specific proteins search for target sequences on DNA. I will present asymptotic results which enable the evaluation of the distribution of the first-passage time to a target site for a wide range of random processes in confined domains. This approach quantifies explicitly the amplitude of fluctuations of the first-passage time and reveals its general dependence on the geometry of the problem, which can become a key parameter that controls the kinetics. I will show how these results apply to reactions involving "small" numbers of particles, and highlight their implications in transcription kinetics.
Contact : Équipe séminaires / Seminar team - Published on / Publié le 6 janvier 2015
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