Non-Markovian model for transport and reactions of particles in spiny dendrites
Fedotov, Sergei (University of Manchester. Department of Mathematics)
Méndez López, Vicenç ![Identificador ORCID](/img/uab/orcid.ico)
(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. ![](/img/licenses/InC.ico) |
Llengua: |
Anglès |
Document: |
Article ; Versió publicada |
Publicat a: |
Physical review letters, Vol. 101, Issue 21 (November 2008) , p. 218102, ISSN 1079-7114 |
DOI: 10.1103/PhysRevLett.101.218102
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