Study On Control And Synchronization For Improved Pacemaker Model

Compared with general chaotic systems,biological chaos systems have more complex dynamic behaviors and topological structures.With the continuous deep research on chaos theory,chaos phenomena in the fields of other disciplines have gradually been discovered,the connection is getting closer and closer.And chaos theory and practical application are beginning to develop in various subject areas.In recent years,chaotic phenomena in biological systems have been gradually discovered.Therefore,research on chaotic phenomena in biological models has a certain trend.We can use chaotic theory to study the control,synchronization of biological models.It helps to reveal the intrinsic nature and laws of biological models,enriches the theory and methods of chaos control.It provides new theoretical guidance and technical means for disease prevention,treatment and body function regulation.We improved a cardiac pacemaker model which proposed by Grudzinski and Zebrowski.Firstly,considering the influencing factors of human respiratory rhythm,the mathematical model of the cardiac pacemaker model was established and the basic dynamic analysis of the chaotic model is given to prove the chaotic characteristics of the model.The pacemaker model is a working state in the pathological state,the patient may have premature beat,ventricular fibrillation,arrhythmia,tachycardia,and irregular heartbeat and other clinical reactions,the patients should be treated immediately,as soon as possible restore sinus heart rate,improve physical function.Secondly,parameter perturbation control,adaptive control,linear feedback control and linear feedback sliding mode control are used to control the model of cardiac pacemakers.It provides a quick rescue idea for the sudden cardiac disease after the installation of pacemakers.Numerical simulations show that these methods can achieved the control of the model of cardiac pacemakers,can realized by physical method.Finally,the nonlinear feedback synchronization method,the active control synchronization method and the sliding mode variable structure synchronization method were used to study the synchronization of the pacemaker model.Theoretical analysis,numerical simulation and circuit simulation respectively prove the effectiveness of the three synchronization methods.These methods provided new treatment ideas for patients after installing pacemakers.