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Applying Graph Theory and Mathematical-Computational Modelling to Study a Neurophysiological Circuit 被引量:1

Applying Graph Theory and Mathematical-Computational Modelling to Study a Neurophysiological Circuit
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摘要 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 </span><span style="font-family:Verdana;">of a reverberating neuronal circuit and a parallel neuronal circuit, which</span><span style="font-family:Verdana;"> could </span><span style="font-family:Verdana;">be coupled. Implementing our model in C++ and applying</span><span style="font-family:Verdana;"> 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. 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 </span><span style="font-family:Verdana;">of a reverberating neuronal circuit and a parallel neuronal circuit, which</span><span style="font-family:Verdana;"> could </span><span style="font-family:Verdana;">be coupled. Implementing our model in C++ and applying</span><span style="font-family:Verdana;"> 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.
作者 Camila de Andrade Kalil Maria Clícia Stelling de Castro Dilson Silva Célia Martins Cortez Camila de Andrade Kalil;Maria Clícia Stelling de Castro;Dilson Silva;Célia Martins Cortez(Postgraduate Program in Computational Sciences, Rio de Janeiro State University, Rio de Janeiro, Brazil;Department of Informatics and Computer Science, Rio de Janeiro State University, Rio de Janeiro, Brazil;Department of Applied Mathematics, Rio de Janeiro State University, Rio de Janeiro, Brazil)
出处 《Open Journal of Modelling and Simulation》 2021年第2期159-171,共13页 建模与仿真(英文)
关键词 Mathematical-Computational Modelling Neurophysiological Circuit Reverberating Circuit Parallel Circuit Mathematical-Computational Modelling Neurophysiological Circuit Reverberating Circuit Parallel Circuit
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