Effects of frequency-dependent membrane capacitance on neural excitability

Journal of Neural Engineering
Bryan HowellW M Grill

Abstract

Models of excitable cells consider the membrane specific capacitance as a ubiquitous and constant parameter. However, experimental measurements show that the membrane capacitance declines with increasing frequency, i.e., exhibits dispersion. We quantified the effects of frequency-dependent membrane capacitance, c(f), on the excitability of cells and nerve fibers across the frequency range from dc to hundreds of kilohertz. We implemented a model of c(f) using linear circuit elements, and incorporated it into several models of neurons with different channel kinetics: the Hodgkin-Huxley model of an unmyelinated axon, the McIntyre-Richardson-Grill (MRG) of a mammalian myelinated axon, and a model of a cortical neuron from prefrontal cortex (PFC). We calculated thresholds for excitation and kHz frequency conduction block, the conduction velocity, recovery cycle, strength-distance relationship and firing rate. The impact of c(f) on activation thresholds depended on the stimulation waveform and channel kinetics. We observed no effect using rectangular pulse stimulation, and a reduction for frequencies of 10 kHz and above using sinusoidal signals only for the MRG model. c(f) had minimal impact on the recovery cycle and the strength-dis...Continue Reading

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Citations

Apr 27, 2017·International Review of Psychiatry·Stefan M Goetz, Zhi-De Deng
Mar 23, 2017·IEEE Transactions on Neural Systems and Rehabilitation Engineering : a Publication of the IEEE Engineering in Medicine and Biology Society·Yogi A PatelRobert J Butera
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Aug 30, 2018·Computational and Mathematical Methods in Medicine·Alessandra PaffiMicaela Liberti
Aug 6, 2020·Frontiers in Computational Neuroscience·Hao WangChengkuo Lee
Feb 5, 2021·Frontiers in Neural Circuits·Hao WangTianzhun Wu
Mar 25, 2021·Brain Stimulation·Clemens NeudorferAndres M Lozano
Aug 20, 2020·The Journal of Physical Chemistry Letters·Insu ParkSang Woo Lee

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