Shape Minimization of Dendritic Attenuation | Zendy

Antoine Henrot | Zendy; Yannick Privat | Zendy

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Shape Minimization of Dendritic Attenuation

Author(s) -

Antoine Henrot,

Yannick Privat

Publication year - 2007

Publication title -

applied mathematics and optimization

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 51

eISSN - 1432-0606

pISSN - 0095-4616

DOI - 10.1007/s00245-007-9002-0

Subject(s) - attenuation , dendrite (mathematics) , soma , minification , space (punctuation) , mathematics , physics , computer science , geometry , optics , mathematical optimization , neuroscience , biology , operating system

What 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.

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