The mathematical law of chaotic dynamics applied to cardiac | 17879
International Research Journals

The mathematical law of chaotic dynamics applied to cardiac arrhythmias


Javier Rodríguez, Raúl Narváez, Signed Prieto, Catalina Correa, Pedro Bernal, Gydnea Aguirre, Yolanda Soracipa, Jessica Mora

From dynamical systems theory and a mathematical de duction of Box-Counting equation, a chaotic exponential law that objectively differentiates nor mal cardiac dynamics from pathological ones, and th e evolution between these states was inferred. 25 Hol ters were taken from a database: 16 with arrhythmias and 9 clinically diagnosed as normal bu t with various symptoms or indications. A simulation was made of heart rate to construct the attractors of the dynamics, and calculate the occupation of spaces in two grids and its fractal d imension. The cases diagnosed as normal, but with different indications or symptoms, presented a numb er of occupied spaces with the grid Kp between 84 and 192, and between 21 and 49 for the kg grid, wit h a mathematical diagnosis of evolution to abnormality. For arrhythmic patients, number of spa ces occupied by attractors in small grid varied between 47 and 165 and on the big screen between 14 and 52, with a mathematical diagnosis of progression to abnormality or in acute disease. Thi s study revealed the general applicability of this methodology for evaluating the dynamics of differen t types of cardiac arrhythmia and for detecting slight changes of dynamics, which are not clinicall y identified as pathological.

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