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

Sergei Fedotov, Vicenç Méndez

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40 Citations (Scopus)


Motivated by the experiments 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. © 2008 The American Physical Society.
Original languageEnglish
Article number218102
JournalPhysical Review Letters
Publication statusPublished - 21 Nov 2008


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