Mathematical-physical prediction of cardiac dynamics using the proportional entropy of dynamic systems
Fecha
2013Autor
Abstract
Heart dynamic characterized within the context of dynamical systems theory allows differentiating and
predicting normal cardiac states, different levels of disease, as well as evolution towards disease. The
purpose of this study is to apply a previously developed methodology to 450 electrocardiographic
registers to establish its effectiveness and comparing it with clinical conventional diagnosis. The
methodology was applied to 50 normal Holters and 400 Holters with different pathologies. After
masking the diagnostic conclusions, the minimum and maximum heart rate and the total number of
beats each hour were used to construct an attractor for each Holter in a phase space, by means of
which the probability, entropy and their proportions were evaluated in ordered pairs of heart rate.
Measures were compared with the physical and mathematical parameters of normality and disease
previously settled down. Diagnostic conclusions and dates from medical history of each Holter were
unmasked, to calculate sensibility, specificity and coefficient Kappa respect to Gold-standard. This
methodology allowed mathematically differentiating the normal, acute and chronic disease dynamics
and the evolution among these states. Sensibility and specificity of 100% were obtained and Kappa
coefficient was equal to 1, demonstrating its diagnostic utility.
Keywords: Chaotic attractor, Holter, phase space, entropy, probability, cardiac dynamics.
URI
http://repositorio.mederi.com.co/handle/123456789/270https://www.interesjournals.org/articles/mathematicalphysical-prediction-of-cardiac-dynamics-using-the-proportional-entropy-of-dynamic-systems.pdf