Modelling spike frequency adaptation through higher-order fractional leaky integrate and fire model

Authors

  • Yash Vats* UQIDRA (UQ-IITD Research Academy), Indian Institute of Technology Delhi (IIT-Delhi), India; School of Mathematics and Physics, University of Queensland, Australia
  • Mani Mehra Department of Mathematics, Indian Institute of Technology Delhi (IIT-Delhi), India
  • Dietmar Oelz School of Mathematics and Physics, University of Queensland, Australia

Keywords:

spike frequency adaptation, neuron, fractional differential equation

Abstract

Spike frequency adaptation is a key characteristic of spiking neurons [1]. To examine this form of adaptation, we introduce a higher-order fractional leaky integrate and fire model. In this model, the exponent of the fractional derivative can range between one (representing an ordinary first order derivative) and two. In this regime, the impact of the past membrane potential on the present potential is inhibitory leading to spike frequency adaptation. We also analyze spike frequency adaptation in response to noisy input current and show that spike frequency adaptation is reinforced as the intensity of noisy input increases.

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Published

2025-04-30

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Section

Conference Contributions