Effect of Channel Noise in Synchronization and Metabolic Energy Consumption in Unidirectionally Coupled Neurons: Drug Blocking of Sodium and Potassium Channels
Krishnendu Pal, Gautam Gangopadhyay

TL;DR
This study investigates how channel noise influences synchronization and energy use in coupled neurons, revealing the impact of patch size and drug blocking on neuronal behavior and energetics.
Contribution
It extends stochastic Hodgkin-Huxley models to coupled neurons, analyzing the effects of channel noise, patch size, and channel blockers on synchronization and energy consumption.
Findings
Patch size critically affects synchronization and energy use.
Three distinct behavioral regimes based on patch size.
Channel blockers alter kinetic and energetic properties of neurons.
Abstract
In this work the stochastic generalization of single Hodgkin-Huxley neuron is further extended to unidirectionally coupled neurons. Our main focus is to elucidate the role of channel noise in the kinetics and energetics of spiking of action potential and the synchronization between two coupled neurons. We have found that the size of the patch is playing the pivotal role in synchronization and metabolic energy consumption. For example, there exists three different patch size ranges in which coupled neuron system behaves in a different manner from noise enhanced phase to dead range state before reaching the deterministic limit. We have also found that the sodium and potassium channel blockers have characteristic kinetic and energetic effects on synchronization process and metabolic energy consumption rate which has been validated with the simulated data.
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Taxonomy
Topicsstochastic dynamics and bifurcation · Neural dynamics and brain function · Nonlinear Dynamics and Pattern Formation
