1. Dynamics and stability of neural systems with indirect interactions involved energy levels.
- Author
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Shao, Yan, Wu, Fuqiang, and Wang, Qingyun
- Subjects
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NUMERICAL analysis , *NONLINEAR systems , *ELECTRICAL energy , *COMPUTER simulation , *NEURONS - Abstract
Dynamical modelling for neural systems with direct and indirect connections is to understand how these connections contribute to neural dynamics. Despite recent findings suggesting the existence of indirect connections in neural systems, their dynamical characteristics remain poorly understood. In this paper, we propose a simplified circuit model with indirect interactions inspired by the indirect connection between two neurons, from an energy perspective. Through bifurcation and dynamics analysis, we find that the presented model has a striking resemblance with the classical Hodgkin-Huxley neuronal model. Moreover, stability in a neural network coupled with energy is demonstrated by combining stability analysis and numerical simulation. Our analysis sheds light on the excitability dynamics and multi-stability that can emerge in biophysical systems with nonlinear interactions inspired by the neural systems and highlights the role of energy in propagating electrical activities. • We construct a neuron-inspired circuit model with indirect interactions involving energy. • The neuron-like excitability and bi-stability are identified in the neuron-inspired circuit. • The neuron-inspired circuit can reproduce excitability as same bifurcation mechanism as the HH neuron. • Stability conditions of the neural network are deduced by stability analysis. • Multistability is triggered in the neural network with different coupling matrix. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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