Applying Graph Theory and Mathematical-Computational Modelling to Study a Neurophysiological Circuit ()
ABSTRACT
The aim
of the present study is to contribute to the knowledge about the functioning of
the neuronal circuits. We built a mathematical-computational model using graph
theory for a complex neurophysiological circuit consisting of a reverberating neuronal circuit and a parallel
neuronal circuit, which could be
coupled. Implementing our model in C++ and applying neurophysiological
values found in the literature, we studied the discharge pattern of the
reverberant circuit and the parallel circuit separately for the same input
signal pattern, examining the influence of the refractory period and the
synaptic delay on the respective output signal patterns. Then, the same study
was performed for the complete circuit, in which the two circuits were coupled,
and the parallel circuit could then influence the functioning of the
reverberant. The results showed that the refractory period played an important
role in forming the pattern of the output spectrum of a reverberating circuit.
The inhibitory action of the parallel circuit was able to regulate the
reverberation frequency, suggesting that parallel circuits may be involved in
the control of reverberation circuits related to motive activities underlying
precision tasks and perhaps underlying neural work processes and immediate
memories.
Share and Cite:
Kalil, C. , de Castro, M. , Silva, D. and Cortez, C. (2021) Applying Graph Theory and Mathematical-Computational Modelling to Study a Neurophysiological Circuit.
Open Journal of Modelling and Simulation,
9, 159-171. doi:
10.4236/ojmsi.2021.92011.