Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Shape Minimization of Dendritic Attenuation   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.

24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci