Mathematical law for chaotic cardiac dynamics: Predictions f | 18037
International Research Journals

Mathematical law for chaotic cardiac dynamics: Predictions for clinical application


Javier O Rodríguez

The purpose of this study was to develop a new diagnostic methodology for cardiac dynamics. A mathematical deduction of Box-Counting equation was made, to determine the mathematical relationship between the occupancy spaces of parts and the total object, which corresponds to fractal dimension. Then, attractors of 8 dynamics were built based on a simulation, calculating its fractal dimension and the number of occupied spaces by the attractors on the box counting space, establishing a mathematical diagnostic method, which was statistically assessed for the evolution normality/disease. An exponential law that relates the parts with the fractal totality was found, differentiating normality, evolution and acute disease; it showed mathematically the severity degree of pathologies and allowed calculating all possible cardiac attractors for 21-year patients and over. Comparing to conventional diagnosis, the analysis of the evolution normality/disease with the mathematical diagnosis had a sensibility, specificity and a Kappa coefficient result of one. The law predicts that fractal dimensions could not differentiate normality and disease effectively. The chaotic cardiac behaviour obeyed to a mathematical law, which allowed differentiating in an objectively way, normality and acute disease, making it a clinical diagnosis method for preventive value, which quantitatively measures the evolution degree of cardiac disease.

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