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

Source: [Interplay of activation kinetics and the derivative conductance determines resonance properties of neurons](<https://www.sota2.com/research/paper/68fa5eda1e209131ce9e5b0e>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T19:01:51.543Z

Authors: Rodrigo F.O. Pena, Cesar C. Ceballos, Vinicius Lima, Antonio C. Roque

Published: 2017-12-01T13:21:16.000Z

## 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 $\\tau\_h$) are mainly responsible for controlling the frequency and existence of resonance. The increment of both factors ($G\_h^{Der}$ and $\\tau\_h$) 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.

## Recorded benchmark results

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1712.00306>)

[PDF](<https://arxiv.org/pdf/1712.00306.pdf>)