Related Experiment Video
Updated: Aug 4, 2026

Physiological, Morphological and Neurochemical Characterization of Neurons Modulated by Movement
Published on: April 21, 2011
Resonance in a model of a mammalian neuron
1School of Mathematics, University of Wales College of Cardiff, U.K.
Abstract:
In this paper we show that for a small range of voltages the model described in the previous paper (Hindmarsh & Rose Phil. Trans. R. Soc. Lond. B 346, 129-150 (1994a)) will generate damped oscillations in response to a negative current pulse. As a consequence the cell has the property that it can be driven into bursting by periodic sinusoidal inputs close to the resonant frequency. The main objective of this paper is to analyse this resonant behaviour using the model of the model introduced in the previous paper. We derive analytical expressions which closely approximate the nonlinear resonance observed in the physiological model driven by a periodic sinusoidal input. This leads to the conclusion that resonance could play a role in synaptic transmission at relay nuclei in the mammalian brain.
Related Concept Videos
Neuron Structure
The Synapse
Neuron Structure
Structure and Function of Neurons
The neuronal cell body—the soma— houses the nucleus and organelles vital to cellular...
The Role of Ion Channels in Neuronal Computation
Sometimes a single EPSP is strong enough to induce an action potential in the postsynaptic neuron. However, multiple presynaptic inputs must often create EPSPs around the same time for the postsynaptic neuron to be sufficiently depolarized to fire an action potential.
Series Resonance
Neuronal Communication

