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Saltatory waves in the spike-diffuse-spike model of active dendritic spines

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preprint
posted on 2005-07-25, 12:49 authored by S. Coombes, P.C. Bressloff
In this Letter we present the explicit construction of a saltatory traveling pulse of non-constant profile in an idealized model of dendritic tissue. Excitable dendritic spine clusters, modeled with integrate-and-fire (IF) units, are connected to a passive dendritic cable at a discrete set of points. The saltatory nature of the wave is directly attributed to the breaking of translation symmetry in the cable. The conditions for propagation failure are presented as a function of cluster separation and IF threshold.

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  • Science

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  • Mathematical Sciences

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240964 bytes

Publication date

2003

Notes

This pre-print has been submitted, and accepted, to the journal, Physical Review Letters. The definitive version: COOMBES, S. and BRESSLOFF, P.C., 2003. Saltatory waves in the spike-diffuse-spike model of active dendritic spines. Physical Review Letters, 91(2),art. no. 028102 is available online at http://prl.aps.org/.

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  • en

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