Vz. Marmarelis et Me. Orme, MODELING OF NEURAL SYSTEMS BY USE OF NEURONAL MODES, IEEE transactions on biomedical engineering, 40(11), 1993, pp. 1149-1158
A methodology for modeling spike-output neural systems from input-outp
ut data is proposed, which makes use of ''neuronal modes'' (NM) and ''
multi-input threshold'' (MT) operators. The modeling concept of NM's w
as introduced in a previously published paper [4] in order to provide
concise and general mathematical representations of the nonlinear dyna
mics involved in signal transformation and coding by a class of neural
systems. This paper presents and demonstrates (with computer simulati
ons) a method by which the NM's are determined using the 1st- and 2nd-
order kernel estimates of the system, obtained from input-output data.
The MT operator (i.e., a binary operator with multiple real-valued op
erands which are the outputs of the NM's) possesses an intrinsic refra
ctory mechanism and generates the sequence of output spikes. The spike
-generating characteristics of the MT operator are determined by the '
'trigger regions'' defined on the basis of data. This approach is offe
red as a reasonable compromise between modeling complexity and predict
ion accuracy, which may provide a common methodological framework for
modeling a certain class of neural systems.