First passage time distribution for the 1D diffusion of particles with internal degrees of freedom

Longhua Hu, Alexander Y. Grosberg, Robijn Bruinsma

    Research output: Contribution to journalArticle

    Abstract

    Proteins searching for their targets on DNA do so by non-specifically adsorbing and sliding along DNA. It became known recently that the proteins simultaneously undergo some internal conformational changes (partial folding and unfolding), such that in some of the sub-states their ability to recognize the target site is enhanced at the expense of diffusivity which is suppressed. We analyze the probability distribution of the first passage times of these proteins into the target taking into account the internal sub-states of proteins. We show that there are two distinct scaling regimes: one is diffusion controlled and the other is absorption controlled.

    Original languageEnglish (US)
    Article number434011
    JournalJournal of Physics A: Mathematical and Theoretical
    Volume42
    Issue number43
    DOIs
    StatePublished - 2009

    ASJC Scopus subject areas

    • Statistical and Nonlinear Physics
    • Statistics and Probability
    • Modeling and Simulation
    • Mathematical Physics
    • Physics and Astronomy(all)

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