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Method for displaying Izhikevich neuron model

A neuron model and neuron technology, applied in the direction of biological neural network model, program code conversion, program control design, etc., can solve the problems of large data error and low precision.

Active Publication Date: 2019-12-20
HEBEI UNIV OF TECH
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  • Abstract
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  • Claims
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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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  • Method for displaying Izhikevich neuron model

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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 invention discloses a method for displaying an Izhikevich neuron model. The invention relates to a digital computing or data processing or method for modeling or simulation of system biology. Themethod comprises the following steps: discretizing an Izhikevich neuron model by using a four-order Runge-Kutta method; modeling by fpga hardware, displaying and verifying the Izhikevich neuron modelon an oscilloscope, so that the Izhikevich neuron model can be obtained; the defects that in the prior art, an Izhikevich neuron model is partially discretized through an Euler method, and the Izhikevich neuron model displayed through the Euler method, namely a first-order Runge-Kutta method, is large in data error and low in precision are overcome.

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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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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