Abstract

The brain is the material basis for human understanding of the external world and the self, and brain science research is considered one of the last frontiers of human science. The HH model successfully reproduces the experimentally observed firing activity of some neurons and opens the way to a theoretical model of neuronal firing. This paper presents a dynamic timeline of the development of the HH neuronal model and its future prospects, analyzing a large body of literature. It outlines the development of the most accurate but complex HH neuronal model and compares its strengths and weaknesses, introduces emerging developments in neurodynamics and bifurcation theories in terms of optimization, and argues that future developments will not be possible without the participation of multidisciplinary interdisciplinary field. The research on this neuronal model will make an impressive contribution to society.

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