A Study On Catastrophe Characteristics Analysis Of Heart Beating And Its Applications Based On Electrobiology

Cardiopathy is a chronic and stubborn disease threatening mankind health, particularly difficult to save the terminal heart disease suffers. Now the validity treatment is to install the artificial heart besides the heart transplantation. The heart transplantation is restrict by many factors, and is far from meeting the demands, until now no artificial heart develop to perfect as the nature heart. I think the most important is that there is no the reality model of nature heart beating other then craft and material. Therefore, the study of nature heart beating is a task for scholars paying attention. This thesis starts from internal mechanism of heart beating, combines heart electrobiology, blood stream dynamical and catastrophe theory. A catastrophe form was constructed based on B-R equation. It reveals characters and rules of the heart beating radically. Making use of nonlinear dynamics, wavelet transformation technique, supersonic imaging and automatic control theory, a study on the causation, examine and control means of arrhythmia, provides a new method for cardiopathy ration diagnosis and treatment. This dissertation applies the heart beating characters to the thought of virtual and artificial heart design. The main work and achievement are as following:In allusion to the heart beating, the time changing system is introduced, and some of definitions and theorems are given. A nature heart appearances in a comparative stable equilibrium orbit commonly. When suffering the outsider incitement or the pathological changes, the system will jump from the equilibrium orbit to a attractive orbit. But the disease makes the heart beating stay at an equilibrium orbit. The orbit's changes announce the dynamic process of heart rate variability. In the process toward the attractive orbit, the track of heart beating transits to another attractive orbit directly over the repulsion orbit, catastrophe occurrence.By the analysis of myocardial cell electrobiology, the potential model is put forward to describe nature heart periodic beating based on B- R equation. The heart beating model is described as cusp catastrophe with end node of systole and diastole. The boundary of steady and unsteady is confirmed by two parameters ofcatastrophe flow form token the beating. The catastrophe model and its analysis method are more approaching to the real heart compared to tradition electric virtual method. The potential functions of laminar flow and turbulence flow are established according to the blood flow dynamics, and the influence of the isolated wave is analyzed. According to the fluid mechanics theory, the solution of equation is given. By the application of catastrophe theory to the analysis of heart rate variability, unsteady equilibrium orbits grades are opened out to health person or cardiopathy suffers. It proves that dynamics character comprises marked catastrophe action of the health rhythm. More strong the catastrophe ability is, more health the heart is.The electrocardiogram is the external measure result of myocardial electrobiology. As wavelet transformation analysis the differential electrocardiogram, catastrophe points were discovered in electrocardiogram. Make use of the potential model to analyze the double parameters, the reason of catastrophe generation is found. Five dynamics regions of different characters are marked off. When the two parameters chosen right parameters, myocardial muscle can produce the self-moving rhythms. In a little region, oscillation state and quiescence state coexist. It discovered the internal mechanism of atria halt and ventricular fibrillation, and the reason of manifold catastrophe points of coronary heart disease suffers.The method of state feedback is put forward to control the catastrophe. With the linear control, the range of catastrophe is controlled, and the critical state is changed, multistate is dissolved, so the catastrophe occurrence of cardiac muscle cell is prevented under disturbance, pathological heart rhythms is restrained. With the nonlinear control, the...