Related Experiment Video
Updated: Jun 7, 2026

Computational Modeling of Retinal Neurons for Visual Prosthesis Research - Fundamental Approaches
Published on: June 21, 2022
Linear versus nonlinear signal transmission in neuron models with adaptation currents or dynamic thresholds
Jan Benda1, Leonard Maler, André Longtin
1Division of Neurobiology, Department Biology II, Ludwig-Maximilians-Universität München, Planegg-Martinsried, Germany. benda@bio.lmu.de
Spike-frequency adaptation in neurons can be modeled either as an adaptation current or a dynamic threshold. This study reveals adaptation currents cause linear shifts in firing rate curves, while dynamic thresholds have divisive effects, guiding model selection for neuronal dynamics.
Area of Science:
- Computational Neuroscience
- Computational Neuroscience and Biophysics
Background:
- Spike-frequency adaptation is crucial for neuronal signal processing, influencing dynamics from milliseconds to seconds.
- In integrate-and-fire models, adaptation is implemented as either an adaptation current or a dynamic firing threshold.
- The distinction between these modeling approaches for physiological adaptation mechanisms remains unclear.
Purpose of the Study:
- To differentiate the effects of adaptation currents versus dynamic thresholds on neuronal firing properties.
- To provide guidelines for selecting appropriate models for observed spike-frequency adaptation mechanisms.
- To investigate the impact of different adaptation models on neuronal transfer functions.
Main Methods:
- Analysis of the onset f-I (frequency-input current) curves under different adaptation states.
- Comparison of the effects of adaptation currents (subtractive shift) and dynamic thresholds (divisive effect) on f-I curves.
- Simulations of conductance-based spiking models with various adaptation currents (AHP, M-type, KNa) and comparison with integrate-and-fire models.
Main Results:
- Dynamic thresholds exhibit a divisive effect on onset f-I curves, altering their slope with adaptation.
- Adaptation currents cause a subtractive shift in f-I curves, preserving the slope and acting linearly.
- Simulations of conductance-based models align with adaptation current properties, not dynamic threshold properties.
- Slow inactivation of sodium currents is not captured by either model.
Conclusions:
- Adaptation currents are suitable for modeling when lateral shifts in onset f-I curves are observed.
- Dynamic thresholds are appropriate when the slope of onset f-I curves changes with the adaptation state.
- Observed divisive alterations in f-I curves may indicate novel biophysical mechanisms affecting neuronal spike thresholds.
Related Concept Videos
Linear Approximation in Frequency Domain
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear.
Neuronal Communication
Synaptic Signaling
Synaptic Signaling
Most synapses are chemical, meaning an electrical impulse or action potential spurs the release of chemical messengers called neurotransmitters. The neuron sending the signal is called the presynaptic neuron, and the neuron receiving the signal is the postsynaptic neuron.
The presynaptic neuron fires an action potential that...
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.
Electrochemical Gradient and Channel Proteins: An Overview
The electrical gradient: The electrical gradient across cell membranes refers to the difference in electric charge between the inside and outside of a cell. This difference drives the movement of ions towards or away from the cells. For instance, if the inside of the cell is more negatively charged relative to the...

