Related Experiment Video
Updated: Mar 23, 2026

Combining Imaging and Electrophysiology to Visualize and Record Spreading Depolarizations in Mice
Published on: October 4, 2024
A Novel Algorithm to Derive Spread of Excitation Based on Deconvolution.
Jan Dirk Biesheuvel1, Jeroen J Briaire, Johan H M Frijns
11ENT Department, Leiden University Medical Centre, Leiden, The Netherlands; and 2Leiden Institute for Brain and Cognition, Leiden, The Netherlands.
This study introduces a deconvolution method to better estimate neural spread of excitation (SOE) using evoked compound action potential (eCAP) measurements. This approach reveals distinct excitation areas, improving our understanding of cochlear implant function.
Area of Science:
- Auditory Neuroscience
- Biomedical Engineering
- Signal Processing
Background:
- The width of the spread of excitation (SOE) curve is traditionally used to estimate neural excitation.
- Previous research has explored correlations between psychophysical parameters and SOE curve width, but definitive relationships remain elusive.
- Current methods may not accurately reflect the true neural SOE.
Purpose of the Study:
- To develop a novel analytical tool to derive SOE by treating SOE curves as a convolution operation.
- To apply deconvolution principles to retrieve excitation areas from measured SOE curves.
- To more accurately reveal the neural spread of excitation (SOE).
Main Methods:
- Analyzed intraoperative SOE curves from 16 subjects with Advanced Bionics implants.
- Recorded evoked compound action potential (ECAP)-based SOE curves using a forward masker paradigm.
- Compared measured SOE curves with predicted SOE curves derived from the convolution of excitation density profiles (EDPs).
- Iteratively adjusted EDPs to fit predicted SOE curves to measured data.
Main Results:
- Achieved a good fit between predicted and measured SOE curves, including asymmetry.
- Smoother EDPs (exponential or Gaussian) provided better fits than rectangular EDPs.
- Found that EDP width generally decreased from the apex to the base of the electrode array.
- EDP widths provided a qualitatively distinct measure of SOE compared to conventional methods.
Conclusions:
- ECAP-based SOE curves measured with forward masking can be modeled as a convolution of EDPs.
- A sloping excitation area is necessary to accurately mimic SOE recordings, as shown by the poor fit with rectangular EDPs.
- The deconvolution method explains the asymmetry of SOE curves as a result of wider apical excitation areas.
- Broader apical EDPs correlate with higher eCAP amplitudes in apical stimulation.
Related Concept Videos
Deconvolution
Deconvolution involves several mathematical techniques to derive the impulse response. One common approach is polynomial division. In this method, the input and output sequences are treated as coefficients of...
Propagation of Action Potentials
Neurons (nerve cells) have a resting membrane potential, with a slightly negative charge inside compared to outside. This is maintained by ion channels, such as sodium (Na+) and potassium (K+) channels, which control the flow of ions. When a stimulus, like a touch or a signal from another neuron, triggers the neuron, sodium channels open, allowing sodium ions to...
Convolution: Math, Graphics, and Discrete Signals
To simplify the convolution integral, it is assumed that both the input signal and impulse response are zero for negative time values. The graphical convolution process...
Properties of DTFT II
The frequency differentiation property is illustrated by considering a DTFT pair and differentiating both sides with respect to ω.

