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A method for displaying izhikevich neuron models

A neuron model and neuron technology, applied in biological neural network models, instruments, physical implementation, etc., can solve problems such as large data errors and low accuracy

Active Publication Date: 2021-02-19
HEBEI UNIV OF TECH
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  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

[0005] The technical problem to be solved by the present invention is to provide a method for displaying the Izhikevich neuron model, using the fourth-order Runge-Kutta method to discretize the Izhikevich neuron model, modeling the Izhikevich neuron on the oscilloscope The model is displayed and verified, which overcomes the discretization of the Izhikevich neuron model in the prior art using the Euler method, and the use of the Euler method, that is, the first-order Runge-Kutta method to display the Izhikevich neuron model has large data errors and low accuracy. defect

Method used

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  • A method for displaying izhikevich neuron models
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  • A method for displaying izhikevich neuron models

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Embodiment

[0074] This embodiment is a method for displaying the Izhikevich neuron model, using the fourth-order Runge-Kutta method to discretize the Izhikevich neuron model, modeling through FPGA hardware, and displaying and verifying the Izhikevich neuron model on an oscilloscope, specifically Proceed as follows:

[0075] In the first step, the Izhikevich neuron model is discretized using the fourth-order Runge-Kutta method:

[0076] The initial value problem of a first-order ordinary differential equation can be expressed as The Runge-Kutta method is an important iterative method for finding solutions to nonlinear ordinary differential equations. It is a high-precision single-step algorithm widely used in engineering and has the advantage of high precision. This embodiment adopts the classic The fourth-order Runge-Kutta formula of is shown in formula (1),

[0077]

[0078]

[0079] The model of the Izhikevich neuron is:

[0080]

[0081] If v≥30mv, then v←c, u←u+d

[008...

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Abstract

The present invention is a method of displaying the Izhikevich neuron model, which relates to digital calculation or data processing or method for modeling or simulation of systems biology, and the method of the present invention discretizes the Izhikevich neuron model using the fourth-order Runge-Kutta method , through the FPGA hardware modeling, and display and verify the Izhikevich neuron model on the oscilloscope, overcoming the discretization of the Izhikevich neuron model in the prior art using the Euler method, and the existence of using the Euler method, that is, the first-order Runge The Kutta method shows the defects of large data error and low accuracy of Izhikevich neuron model.

Description

technical field [0001] The technical solution of the present invention relates to digital computing or data processing or methods for modeling or simulation of systems biology, in particular a method for displaying Izhikevich neuron models. Background technique [0002] In order to simulate the pulse characteristics of biological neurons, researchers have proposed a variety of models from different application angles and methods, the typical ones are H-H neuron model, IF neuron model and Izhikevich neuron model. The H-H neuron model has the most abundant parameters, which can accurately simulate the response of real neurons to current pulses, but the cost of execution is very high, and it is not suitable for long-term and large-scale network simulation. The IF neuron model is a linear equation with relatively low computational requirements, but it cannot express most of the basic properties of neurons. The Izhikevich neuron model combines the advantages of the H-H neuron mo...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06N3/063G06N3/06G06F9/448G06F8/41
CPCG06F8/41G06N3/061G06N3/063G06F9/4498
Inventor 郭磊王衍昌满梦华武焕涛
Owner HEBEI UNIV OF TECH
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