Impact of membrane bistability on dynamical response of neuronal populations

TL;DR

This paper investigates how membrane bistability, characterized by up and down states, affects neuronal population responses, revealing enhanced signal transmission and reduced phase lag due to the up state.

Contribution

It introduces a bistable neuron model and analytically demonstrates how the up state enhances frequency response and alters phase lag in neuronal populations.

Findings

Up state creates a local maximum in the transmission function at an optimal frequency.

Presence of up state reduces phase lag relative to input signals.

Frequency response enhancement depends on intrinsic dynamics and up state occupancy.

Abstract

Neurons in many brain areas can develop pronounced depolarized state of membrane potential (up state) in addition to the normal hyperpolarized down state near the resting potential. The influence of the up state on signal encoding, however, is not well investigated. Here we construct a one-dimensional bistable neuron model and calculate the linear response to noisy oscillatory inputs analytically. We find that with the appearance of an up state, the transmission function is enhanced by the emergence of a local maximum at some optimal frequency and the phase lag relative to the input signal is reduced. We characterize the dependence of the enhancement of frequency response on intrinsic dynamics and on the occupancy of the up state.