External Electromagnetic Wave Excitation of a PreSynaptic Neuron Based on LIF model

TL;DR

This paper investigates how external electromagnetic waves at different frequencies influence neural signaling by modeling a presynaptic neuron with a modified LIF model, revealing bifurcation phenomena near 200 Hz and aiding in frequency selection for neural stimulation.

Contribution

It introduces a novel analysis of external EM wave effects on neural communication using a modified LIF model, highlighting bifurcation behavior at specific frequencies.

Findings

Existence of a node equilibrium point in the LIF model.

Fold bifurcation occurs near 200 Hz external frequency.

Cut-off frequency depends on LIF circuit elements.

Abstract

Interaction of electromagnetic (EM) waves with human tissue has been a longstanding research topic for electrical and biomedical engineers. However, few numbers of publications discuss the impacts of external EM-waves on neural stimulation and communication through the nervous system. In fact, complex biological neural channels are a main barrier for intact and comprehensive analyses in this area. One of the everpresent challenges in neural communication responses is dependency of vesicle release probability on the input spiking pattern. In this regard, this study sheds light on consequences of changing the frequency of external EM-wave excitation on the post-synaptic neuron's spiking rate. It is assumed that the penetration depth of the wave in brain does not cover the postsynaptic neuron. Consequently, we model neurotransmission of a bipartite chemical synapse. In addition, the way that external stimulation affects neurotransmission is examined. Unlike multiple frequency component EM-waves, the monochromatic incident wave does not face frequency shift and distortion in dispersive media. In this manner, a single frequency signal is added as external current in the modified leaky integrated-andfire (LIF) model. The results demonstrate existence of a node equilibrium point in the first order dynamical system of LIF model. A fold bifurcation (for presupposed LIF model values) occurs when the external excitation frequency is near 200 Hz. The outcomes provided in this paper enable us to select proper frequency excitation for neural signaling. Correspondingly, the cut-off frequency reliance on elements' values in LIF circuit is found.