Flexible neural connectivity under constraints on total connection strength
Fig 2
Constraints on total synaptic weights.
(a-c) An upper bound on the total synaptic weight. (d-f) A fixed total synaptic weight. (a) For two inputs with a total synaptic weight of at most , the synaptic weights must live in the area under a line segment from
to
(a regular 1-simplex). (b) For three inputs, the synaptic weights must live in the volume under a regular two-simplex. (c) Volume of the K − 1 simplex as a function of the number of presynaptic partners, K, for different maximal net weights
. (d) For two inputs with a total synaptic weight fixed at
, the synaptic weight configurations must be on the line segment from
to
. (e) The solution space for the fixed net weight constraint with three inputs is an equilateral planar triangle (a regular 2-simplex). (f) Surface area of the regular K − 1 simplex as a function of the number of presynaptic partners, K, for different net synaptic weights
.