# Impact of the activation rate of the hyperpolarization-activated current $I\_{\\rm h}$ on the neuronal membrane time constant and synaptic potential duration

Source: [Impact of the activation rate of the hyperpolarization-activated current $I\_{\\rm h}$ on the neuronal membrane time constant and synaptic potential duration](<https://www.sota2.com/research/paper/68fa5f141e209131ce9e75ac>)

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

Data updated: 2025-10-25T19:07:52.793Z

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

Published: 2021-06-07T18:23:14.000Z

## Abstract

The temporal dynamics of membrane voltage changes in neurons is controlled by ionic currents. These currents are characterized by two main properties: conductance and kinetics. The hyperpolarization-activated current ($I\_{\\rm h}$) strongly modulates subthreshold potential changes by shortening the excitatory postsynaptic potentials and decreasing their temporal summation. Whereas the shortening of the synaptic potentials caused by the $I\_{\\rm h}$ conductance is well understood, the role of the $I\_{\\rm h}$ kinetics remains unclear. Here, we use a model of the $I\_{\\rm h}$ current model with either fast or slow kinetics to determine its influence on the membrane time constant ($\\tau\_m$) of a CA1 pyramidal cell model. Our simulation results show that the $I\_{\\rm h}$ with fast kinetics decreases $\\tau\_m$ and attenuates and shortens the excitatory postsynaptic potentials more than the slow $I\_{\\rm h}$. We conclude that the $I\_{\\rm h}$ activation kinetics is able to modulate $\\tau\_m$ and the temporal properties of excitatory postsynaptic potentials (EPSPs) in CA1 pyramidal cells. In order to elucidate the mechanisms by which $I\_{\\rm h}$ kinetics controls $\\tau\_m$, we propose a new concept called "time scaling factor". Our main finding is that the $I\_{\\rm h}$ kinetics influences $\\tau\_m$ by modulating the contribution of the $I\_{\\rm h}$ derivative conductance to $\\tau\_m$.

## 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/2106.03902>)

[PDF](<https://arxiv.org/pdf/2106.03902.pdf>)