Abstract

RODRIGUEZ, Javier et al. New physics and mathematics methodology in Holter evaluation. Rev. Col. Cardiol. [online]. 2008, vol.15, n.2, pp.50-54. ISSN 0120-5633.

The characterization of state and evolution of systems are described by the theory of dynamic systems. Chaotic systems may be evaluated through fractal dimensions. 17 Holter were studied, four of which were diagnosed as normal and 13 with different diseases. A sequence of values of heart rate was generated from the values obtained in the clinical examination. For each simulation, an attractor was built; its fractal dimension was evaluated as well as the spaces occupied by the attractor, and finally comparisons between normality and disease, were made. Acute chaotic cardiac dynamics were differentiated from chronic and normal with measure parameters related with fractal dimension. Maximal values in spatial occupation of attractors associated to acute clinical events were found by the application of the Box Counting method. The spaces evaluated for the attractors of individuals with acute clinical events are a third of the normal ones. According to this methodology, the totality of cardiac dynamics is finite. A new methodology for Holter evaluation was developed through simulations of cardiac dynamics and the evaluation of abstract dynamic spaces applicable to any particular case.

Keywords : Holter; dynamic systems; chaotic attractor; fractal dimension; simulations.

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