A circuit for simulating the simplified Hodgkin-Huxley neuron model

Abstract

The invention discloses a circuit for simulating and realizing a simplified Hodgkin-Huxley neuron model, comprising a first exponential function circuit unit, a second exponential function circuit unit, a third exponential function circuit unit, a fourth exponential function circuit unit, and a fifth exponential function circuit unit. A function circuit unit, a sixth exponential function circuit unit, a first proportional-integral circuit unit, a second proportional-integral circuit unit, a third proportional-integral circuit unit, and a fourth proportional-integral circuit unit. Compared with the prior art, the present invention proposes a circuit that simulates and realizes the simplified Hodgkin-Huxley neuron model, based on the mathematical expression of the simplified Hodgkin-Huxley neuron model, adopts common analog electronic devices, and cleverly designs the circuit, so that It can perfectly present the nonlinear operation relationship in the mathematical expression, so that the circuit output can accurately simulate the dynamic behavior of the simplified Hodgkin-Huxley neuron model.

Description

technical field [0001] The invention belongs to the technical field of neuron circuit simulation, in particular to a circuit for simulating and realizing a simplified Hodgkin-Huxley neuron model. Background technique [0002] Neurons are the basic unit of the nervous system, and the number of neurons in the nervous system of mammals can reach billions. Neurons can transmit electrical signals between different neurons by sending out electrical signals, so as to realize the reception, transmission, and processing of information, so as to make the body feel the changes in the external environment, or transmit the signal instructions sent by the brain , in order to realize the interaction with the external environment. In order to study the working mechanism of the nervous system in depth, relevant scholars have established a variety of mathematical models to describe the discharge dynamics of neurons, such as the Hodgkin-Huxley model, FitzHugh-Naguma model, Hindmarsh-Rose mode...

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Problems solved by technology

[0003] Using biological experiments to detect neurons' responses to different external environments is the most direct research method. However, actual biological experiments often cost a lot and the experimental period is very long, so it is not an ideal way to study neuron dynamics. The neuron model is generally composed of multiple differential equations. With the increase of the number of neurons, the calculation burden of the dynamic behavior analysis of the neuron system will be greatly increased, and the real-time performance of the calculation will not be guaranteed. Therefore, the neuron-based The use of meta-mathematical models to study the dynamic behavior of neurons is also subject to certain limitations; considering that analog circuits have the advantages of low cost, easy integration, and good real-time performance, such as realizing neuron models through circuits and simulating the discharge of neurons Behavior, will be able to successfully overcome the shortcomings of biological experiments such as huge costs and long cycles, and can solve the real-time problems existing in numerical calculations

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