Non-Markovian model for transport and reactions of particles in spiny dendrites.

Sergei Fedotov, Vicenç Méndez

    Research output: Contribution to journalArticlepeer-review

    Abstract

    Motivated by the experiments [Santamaria, Neuron 52, 635 (2006)10.1016/j.neuron.2006.10.025] that indicated the possibility of subdiffusive transport of molecules along dendrites of cerebellar Purkinje cells, we develop a mesoscopic model for transport and chemical reactions of particles in spiny dendrites. The communication between spines and a parent dendrite is described by a non-Markovian random process and, as a result, the overall movement of particles can be subdiffusive. A system of integrodifferential equations is derived for the particles densities in dendrites and spines. This system involves the spine-dendrite interaction term which describes the memory effects and nonlocality in space. We consider the impact of power-law waiting time distributions on the transport of biochemical signals and mechanism of the accumulation of plasticity-inducing signals inside spines.
    Original languageEnglish
    JournalPhysical Review Letters
    Volume101
    Issue number21
    DOIs
    Publication statusPublished - 21 Nov 2008

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