Reduction of the morphological complexity of actual neurons into accurate,
computationally efficient surrogate models is an important problem in compu
tational neuroscience. The present work explores the use of two morphoelect
rotonic transformations, somatofugal voltage attenuation (AT cables) and si
gnal propagation delay (DL cables), as bases for construction of electroton
ically equivalent cable models of neurons. In theory, the AT and DL cables
should provide more accurate lumping of membrane regions that have the same
transmembrane potential than the familiar equivalent cables that are based
only on somatofugal electrotonic distance (LM cables). In practice, AT and
DL cables indeed provided more accurate simulations of the somatic transie
nt responses produced by fully branched neuron models than LM cables. This
was the case in the presence of a somatic shunt as well as when membrane re
sistivity was uniform.