Clinical Application Of The Mathematical Model Of Differential Geometry ECG

ObjectiveUp until now,the observation of clinical cardiac electrocardiology on cardio electric vector loops and electrocardiogram are both on whole presentational characters, such as width and periods for cardio electro vector loop,amplitude and interphase for electrocardiogram,and there has been no depiction of its differential geometry properties.In fact,there are basic characteristic features with speed,curvature and deflection,during cardio electric vectors circulating along with time,which are measured by speed,curvature and deflection.With Frank system using x(t),y(t),z(t) as the basis,and the mathematical model of differential geometry as the principle, we can describe differential geometry character of the loop and depict three curves with speed v(t),curvature c(t)and deflection d(t),which combined together are called Differential Geometry ECG(differentiate geometry ECG,DG-ECG).This dissertation,using mathematical model of differential geometry as a basic principle,case with small areas myocardial infarction being applied,Natural Equation being introduced as the basis,compared the diagnoses between the mathematical model of differential geometry and the clinic diagnose,and pointed out the future of the development of Differential Geometry ECG.The theme is to provide the mathematical model for researchers of medicine as a diagnostic measure,utilizing the efficacy of computer,applying to clinical practice,and advancing development of clinical cardiac electrocardiology.MethodsVC++ language was used and the mathematic model of spacial curve was established which contained tangential velocity,curvature and deflection.ECG and VCG two leads system were used to collect cardiac electricity signals simultaneously. Cardiac electricity signals taken through Frank lead system were output in three orthogonal directions,±x outputs surface potential difference left and right Vx(t),±y outputs surface potential difference from top to bottom waveform Vy(t),±z outputs waveform surface before and after the potential difference Vz(t);cardiac electricity signal in three orthogonal directions with mV was inputting cardiac electricity amplifier, magnifying V and then inputting to A/D conversion;A/D conversion was used to convert analog signals into digital signals,and then putting into computer to process the experiment data;through the analysis of the computer on curvature and deflection with QRS loop,which were diagnosed SAMI by clinical diagnoses,we can try to find out variability law of the health with QRS loop and the SAMI,which contained speed, curvature and deflection;to analyze the SAMI with maximum modulus of negative curvature and maximum modulus of deflection with QRS loop.Results1.Through the analysis of the 76 health and SAMI,we found that there were negative curvature in all the 23 SAMI with QRS loop,and the accuracy ratio was 100%; the negative curvature occurred in only one of the 53 health,and the accuracy ratio was only 2%.2.Generally speaking,modulus of negative curvature with QRS loop for SAMI varied from 368 to 442(1/mv),mainly about 410(1/mv),and MI mostly happened on the fore-partitions.The experiment data were treated with software for SPSS 13.0, using means±2square,and the result was(405.57±6.94)1/mv(P＜0.05);the deflection with QRS loop varied from 138 to 550(1/mv),mainly about 400(1/mv).The experiment data were treated with software for SPSS13.0,and the result were (351.39±44.39)1/mv(P＜0.05).3.In the 23 SAMI,correlativity analysis was carried out on corresponding time between maximum modulus of negative curvature and maximum modulus of deflection with QRS loop,and the correlativity modulus was R=0.902(P＜0.001).Conclusion1.Through clinical application of SAMI,DG-ECG was proved to have the more superiority of collect information than conventional 12-leads ECG,Frank-VCG;2.Positive and negative curvature of QRS loop can be used as the foundation for differentiating the healthy from the MI,and the accuracy ratio were remarkable;3.Maximum modulus of negative curvature and maximum modulus of deflection with QRS loop can be used as the evidence for diagnosing SAMI,and the accuracy were remarkable.