In this paper, modeling of the coupling medium between two neurons, the effects
of the model parameters on the synchronization of those neurons, and
compensation of coupling strength deficiency in synchronization are studied. Our
study exploits the inter-neuronal coupling medium and investigates its intrinsic
properties in order to get insight into neuronalinformation transmittance and, there
from, brain-information processing. A novel electrical model of the coupling
medium that represents a well-known RLC circuit attributable to the coupling
medium¡¯s intrinsic resistive, inductive, and capacitive properties is derived.
Surprisingly, the integration of such properties reveals the existence of a natural
three-term control strategy, referred to in the literature as the proportional
integral derivative (PID) controller, which can be responsible for synchronization
between two neurons. Consequently, braininformation processing can rely on a
large number of PID controllers based on the coupling medium properties
responsible for the coherent behavior of neurons in a neural network. Herein, the
effects of the coupling model (or natural PID controller) parameters are studied
and, further, a supervisory mechanism is proposed that follows a learning and
adaptation policy based on the particle swarm optimization algorithm for
compensation of the coupling strength deficiency.
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Modeling of inter-neuronal coupling medium and its impact on
neuronal synchronization
1. Introduction 41
2. Results and discussion 43
3. Coupling strength as PID control for synchronization 47
4. Effects of PID components in neuronal synchronization 49
5. Methods 54
6. Conclusions and future research recommendations 57
7. References 58