Shape Minimization of Dendritic Attenuation

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dc.creatorHenrot, Antoine
dc.creatorPrivat, Yannick
dc.date2007-02-01
dc.date2007-05-22
dc.date.accessioned2026-07-07T10:15:12Z
dc.date.available2026-07-07T10:15:12Z
dc.descriptionWhat is the optimal shape of a dendrite? Of course, optimality refers to some particular criterion. In this paper, we look at the case of a dendrite sealed at one end and connected at the other end to a soma. The electrical potential in the fiber follows the classical cable equations as established by W. Rall. We are interested in the shape of the dendrite which minimizes either the attenuation in time of the potential or the attenuation in space. In both cases, we prove that the cylindrical shape is optimal.
dc.identifierhttps://arxiv.org/abs/math/0702017
dc.identifierhttp://arxiv.org/abs/math/0702017
dc.identifierApplied Mathematics & Optimization 57, 1 (2008) 1-17
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/173104
dc.subjectAnalysis of PDEs
dc.subjectOptimization and Control
dc.subject49J20, 49R50, 92C15
dc.titleShape Minimization of Dendritic Attenuation
dc.typetext

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