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Non-Markovian model for transport and reactions of particles in spiny dendrites
Fedotov, Sergei (University of Manchester. Department of Mathematics)
Méndez López, Vicenç (Universitat Autònoma de Barcelona. Departament de Física)
American Physical Society

Data: 2008
Resum: Motivated by the experiments [Santamaria et al. , Neuron 52, 635 (2006)] 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.
Drets: Tots els drets reservats.
Llengua: Anglès
Document: article ; publishedVersion
Publicat a: Physical review letters, Vol. 101, Issue 21 (November 2008) , p. 218102, ISSN 0031-9007

DOI: 10.1103/PhysRevLett.101.218102

4 p, 474.4 KB

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