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The temporal dynamics of membrane voltage changes in neurons is controlled byionic 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 excitatorypostsynaptic potentials and decreasing their temporal summation. Whereas theshortening of the synaptic potentials caused by the $I_{\rm h}$ conductance iswell understood, the role of the $I_{\rm h}$ kinetics remains unclear. Here, weuse a model of the $I_{\rm h}$ current model with either fast or slow kineticsto determine its influence on the membrane time constant ($\tau_m$) of a CA1pyramidal cell model. Our simulation results show that the $I_{\rm h}$ withfast kinetics decreases $\tau_m$ and attenuates and shortens the excitatorypostsynaptic 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 temporalproperties of excitatory postsynaptic potentials (EPSPs) in CA1 pyramidalcells. In order to elucidate the mechanisms by which $I_{\rm h}$ kineticscontrols $\tau_m$, we propose a new concept called "time scaling factor". Ourmain finding is that the $I_{\rm h}$ kinetics influences $\tau_m$ by modulatingthe contribution of the $I_{\rm h}$ derivative conductance to $\tau_m$.

the european physical journal. special topics

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