The Multi-Adaptive Threshold Model in Mathematical Neuroscience and Its Results

Title

The Multi-Adaptive Threshold Model in Mathematical Neuroscience and Its Results

Subject

Statistics

Creator

Yat Hong Byron Lam

Date

2025

Contributor

Dr. Massimiliano Tamborrino

Abstract

The Multi-Adaptive Threshold Model is a system of equations that describe an action potential for a neuron cell. What is special about this model is that the spiking threshold, which is the threshold of potential required for a neuron cell to spike, adapts with time instead of being constant. The external input current of the neuron is also a stochastic process, and therefore the neuron potential also isn’t deterministic. This project looks at the theoretical properties of the system of equations, plots the system of equations features in the spiking times of neuron cells.

Meta Tags

Stochastic differential equations
Stochastic simulation
Mathematical Neuroscience
Data analysis

Files

Citation

Yat Hong Byron Lam, “The Multi-Adaptive Threshold Model in Mathematical Neuroscience and Its Results,” URSS SHOWCASE, accessed November 2, 2025, https://linen-dog.lnx.warwick.ac.uk/items/show/904.