A method for studying the state transition of the cardiac Hodgkin-Huxley Purkinje fiber model

A technology of fiber model and state transition, applied in the field of cellular neural network, can solve the problems such as the incomplete clarification of electrophysiological mechanism

Active Publication Date: 2021-06-22
JIANGXI UNIV OF SCI & TECH
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

However, the electrophysiological mechanisms underlying the initiation and maintenance of VF have not yet been fully elucidated.

Method used

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  • A method for studying the state transition of the cardiac Hodgkin-Huxley Purkinje fiber model
  • A method for studying the state transition of the cardiac Hodgkin-Huxley Purkinje fiber model
  • A method for studying the state transition of the cardiac Hodgkin-Huxley Purkinje fiber model

Examples

Experimental program
Comparison scheme
Effect test

Embodiment 1

[0080]Example 1: State distribution of the Hodgkin-Huxley Purkinje fiber model of the heart.

[0081] Take a ∈ [35,60], b ∈ [84,109], according to step 3 of the present invention, the judgment parameter (a, b) is the edge chaos, local activity, and local passive state distribution under the coordinates (such as figure 1 shown), and Table 1 lists the corresponding equilibrium point, eigenvalue and three states when the parameters (a, b) are taken as specific values ​​(■ represents a local passive state, represents a borderline chaotic state, Indicates the local active state), each value corresponds to figure 2 ①②③④These four points.

[0082] Table 1 The equilibrium point, eigenvalue and state corresponding to different values ​​of parameters (a, b)

[0083] ■: partial passive borderline chaos local activity

[0084]

Embodiment 2

[0085] Example 2: Waveform curve and cardiac activity state of the Hodgkin-Huxley Purkinje fiber model of the heart.

[0086] (1) choose figure 2 Middle ① point (a, b) = (40, 100), that is, the number ① in Table 1, draw the waveform change curve (V, m, h, n) in the heart HH model (such as image 3 ), it can be measured from the figure that the heartbeat frequency is The heart is beating normally; simultaneously ① point satisfies local activity condition (1) in step 3 of the present invention: in all Y Q (s) There exists at least one pole p i (i=1,2,...,β), its real part is in the right half plane of Re[s]>0 (that is, the eigenvalue λ i , at least one of i=1,2,3,4 is greater than 0), so point ① belongs to the local active area.

[0087] (2) choose figure 2 Middle ② point (a, b)=(45,102), that is, the number ② in Table 1, draw the waveform change curve of (V, m, h, n) in the heart HH model (such as Figure 4 ), the waveform curve is a straight line, and the heart stops ...

Embodiment 3

[0090] Example 3: The Hodgkin-Huxley Purkinje fiber model of the heart drifts under the action of an applied current.

[0091] For the four points ①②③④ listed in Table 1, increase the external current stimulation I ext (positive and negative values ​​are acceptable) for state analysis. Table 2 is a comparison of the drift changes of the state of the heart HH model.

[0092] Table 2 Applied current stimulation I ext Drift changes to the state of the heart HH model (balance point, eigenvalue and state)

[0093] ■: partial passive borderline chaos local activity

[0094]

[0095]

[0096] (1) choose figure 2 Point ① (a,b)=(40,100), that is, the number ① in Table 1 and Table 2, when the external current stimulates I ext When =-2.1μA, draw the (V, m, h, n) waveform change curve in the heart HH model (such as Figure 7 ), the heartbeat frequency can be measured as The heart beats too fast; simultaneously in table 2, 1. point satisfies local activity condition (1) ...

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Abstract

A research method for the state transition of the Hodgkin‑Huxley Purkinje fiber model of the heart, by adding an external current I to the Hodgkin‑Huxley Purkinje fiber model of the heart ext , to study the equilibrium point and eigenvalue of the Jacobian matrix equation of the model, so as to judge that it belongs to the regional classification of local activity, marginal chaos, and local passive, and the corresponding regions have normal, dangerous, oscillation, and even stop phenomena of heart beating. The present invention analyzes the Hodgkin-Huxley kinetic model and the mechanism of state transition between them and external stimuli and equilibrium potentials, which can provide a certain reference method for human heart rehabilitation and health maintenance, and is useful for exploring the rules of neural activity and human health. have a certain meaning.

Description

technical field [0001] The invention belongs to the field of cellular neural networks and relates to the research on the nonlinear activity characteristics of cardiac Purkinje fibers. Background technique [0002] Human beings are perceiving, thinking and moving all the time. For example, our heart beats, our muscles drive us to walk, our eyes observe, our ears listen, and our brain thinks. So what kind of mechanism drives our life? But what might bring life to a sudden stop? [0003] Purkinje (J.E.Purkinje) was discovered in the heart of sheep, also known as bundle cells, which is a special kind of myocardial fiber, which is a component of the cardiac conduction system, which forms the atrioventricular bundle and its branches, and is distributed in the heart of the ventricle. subintima. Purkinje fiber sinoatrial node cells and Purkinje cells form a special conduction system in the heart, which can automatically generate rhythmic excitation, also known as autonomic cells,...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G16H50/50
CPCG16H50/50
Inventor 吴政泽张小红钟小勇
Owner JIANGXI UNIV OF SCI & TECH
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