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A circuit for simulating and realizing a Hodgkin-Huxley neuron model

A neuron model and circuit technology, applied in the field of neuron circuit simulation, can solve problems such as long cycle time, increased calculation burden, and huge cost

Active Publication Date: 2019-03-08
NORTHWESTERN POLYTECHNICAL UNIV
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

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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  • A circuit for simulating and realizing a Hodgkin-Huxley neuron model
  • A circuit for simulating and realizing a Hodgkin-Huxley neuron model
  • A circuit for simulating and realizing a Hodgkin-Huxley neuron model

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Embodiment Construction

[0054] In order to describe in detail the technical content, circuit structure, and achieved objectives and effects of the present invention, the detailed description will be given below in conjunction with specific embodiments and accompanying drawings.

[0055] The simplified Hodgkin-Huxley neuron model consists of a system of four differential equations. This four-dimensional differential equation system is as follows:

[0056]

[0057]

[0058]

[0059]

[0060] among them:

[0061] α n =0.0573e (0.0338V)

[0062] α m = 0.369e (0.0328V)

[0063] α h =0.0775e (-0.0452V)

[0064] β n =0.1203e (-0.0258V)

[0065] β m = 6e (-0.0769V)

[0066] β h =0.075e (0.0357V)

[0067] Where: C M Is the cell membrane capacitance, V is the membrane potential, g Na , G K And g l Are the conductance values ​​of sodium ion channel, potassium ion channel and leak ion channel, E Na , E K And E l They are the equilibrium potentials of sodium ion channels, potassium ion channels and drain ion channels. m, n...

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Abstract

The invention discloses a circuit for simulating and realizing a Hodgkin-Huxley neuron model. The circuit comprises a first exponential function circuit unit and a second exponential function circuitunit, a third exponential function circuit unit, a fourth exponential function circuit unit, a fifth exponential function circuit unit, a sixth exponential function circuit unit, a first proportionalintegral 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 invention provides the circuit for simulating and realizing the Hodgkin-Huxley neuron model. According to the mathematical expression of the Hodgkin-Huxley neuron model, a common simulation electronic deviceis adopted, and a circuit is ingeniously designed, so that the nonlinear operation relationship in the mathematical expression can be perfectly presented, and the circuit output can accurately simulate and simplify the dynamic behaviors of the Hodgkin-Huxley neuron model.

Description

Technical field [0001] The invention belongs to the technical field of neuron circuit simulation, and particularly relates to a circuit for simulating and realizing simplified Hodgkin-Huxley neuron model. Background technique [0002] Neurons are the basic unit of the nervous system. The number of neurons in the mammalian nervous system can reach billions. Neurons can send out electric signals and transmit electrical signals between different neurons, so as to realize the receiving, sending, and processing of information, so as to make proprioceptive changes in the external environment, or transmit 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 dynamic behavior of neurons, such as the Hodgkin-Huxley model, the FitzHugh-Naguma model, the Hindmarsh-Rose model, and the ...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06N3/063
CPCG06N3/063
Inventor 胡晓宇王大伟
Owner NORTHWESTERN POLYTECHNICAL UNIV
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