A New Three-Oscillator Model for the Heart System in the Case of Time Delay and Designing Appropriate Controller for Its Synchronization

Siroos Nazari,Mahboobeh Tavakoli,Aghileh Heydari,Javad Khaligh

doi:10.1155/2014/168247

Siroos Nazari, Mahboobeh Tavakoli + Show 2 more

Open Access

https://doi.org/10.1155/2014/168247

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Abstract

If the SA and AV oscillators are not synchronized, it may arise some kinds of blocking arrhythmias in the system of heart. In this paper, in order to examine the heart system more precisely, we apply the three-oscillator model of the heart system, and to prevent arrhythmias, perform the following steps. Firstly, we add a voltage with rang a1 and ω frequency to SA node. Then, we use delay time factor in oscillators and finally the appropriate control is designed. In this paper, we have explained how simulating and curing these arrhythmias are possible by designing a three-oscillator system for heart in the state of delay and without delay and by applying an appropriate control. In the end, we present the simulation results.

Highlights

If the SA and AV oscillators are not synchronized, it may cause some kinds of blocking arrhythmias in the system of the heart
In order to simulate ectopic arrhythmias, a voltage ranging a1 and ω frequency is added to SA node
It has been explained that how simulating and curing some arrhythmias are possible, that one example of curing method, is modelling three-oscillator heart system in the state of delay and without delay and by applying an appropriate control

Summary

Introduction

If the SA and AV oscillators are not synchronized, it may cause some kinds of blocking arrhythmias in the system of the heart. There are devices called pacemaker using electric shocks to synchronize if there is an arrhythmia. The main defect of these devices is the error of diagnosis and not having accurate control. They sometimes apply shocking of 600 to 700 voltages to the heart wrongly even when there is no blocking at all, which is too dangerous. Applied shock to the heart muscle constricts all fibers concurrently and all fibers return to recovery state and hope to return to their normal rhythm after that and it may sometimes occur that the patient involves blocking and the device have not diagnosed it so the patient dies. In order to simulate ectopic arrhythmias, a voltage ranging a1 and ω frequency is added to SA node

Three-Oscillator Modelling of the Heart without Time Delay

Three-Oscillator Modelling of the Heart with Time Delay

Conclusion