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arXiv · 1712.00306

Interplay of activation kinetics and the derivative conductance determines resonance properties of neurons

Rodrigo F. O. Pena·Cesar C. Ceballos·Vinicius Lima·Antonio C. Roque
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Abstract

In a neuron with hyperpolarization activated current ($I_h$), the correct input frequency leads to an enhancement of the output response. This behavior is known as resonance and is well described by the neuronal impedance. In a simple neuron model we derive equations for the neuron's resonance and we link its frequency and existence with the biophysical properties of $I_h$. For a small voltage change, the component of the ratio of current change to voltage change ($dI/dV$) due to the voltage-dependent conductance change ($dg/dV$) is known as derivative conductance ($G_h^{Der}$). We show that both $G_h^{Der}$ and the current activation kinetics (characterized by the activation time constant $τ_h$) are mainly responsible for controlling the frequency and existence of resonance. The increment of both factors ($G_h^{Der}$ and $τ_h$) greatly contributes to the appearance of resonance. We also demonstrate that resonance is voltage dependent due to the voltage dependence of $G_h^{Der}$. Our results have important implications and can be used to predict and explain resonance properties of neurons with the $I_h$ current.

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Rodrigo F. O. Pena, Cesar C. Ceballos, Vinicius Lima, Antonio C. Roque. 2018-04-12. Interplay of activation kinetics and the derivative conductance determines resonance properties of neurons. https://doi.org/10.1103/physreve.97.042408

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