Geodesic
Determination of instaneous cardiac rhythm parameters in multifractal dynamics model by regularized Newton's method
Matematičeskoe modelirovanie, Tome 29 (2017) no. 12, pp. 147-156

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In this paper we present the system of nonlinear equations of multifractal dynamics (MFD) model which describes instantaneous cardiac rhythm (ICR) in the regular and jump areas. We present the numerical solution of this system of nonlinear equations obtained by Newton's method, and the ICR parameter values of MFD model based on the data of Holter monitoring (HM) of a patient of the Tver Cardiology Health Center. It was demonstrated that the necessary condition for ICR jump in the above case is the proximity of pre-jump ICR fractal dimension $D$ to the fractal dimension value in bifurcation point $D_b$ which was calculated in the MFD model.
Keywords: instantaneous heart rate, multifractal dynamics model, instantaneous heart rate jumps, regularized Newton method.
Mots-clés : bifurcation catastrophes 
@article{MM_2017_29_12_a10,
     author = {S. A. Mikheev and V. N. Ryzikov and V. P. Tsvetkov and I. V. Tsvetkov},
     title = {Determination of instaneous cardiac rhythm parameters in multifractal dynamics model by regularized {Newton's} method},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {147--156},
     publisher = {mathdoc},
     volume = {29},
     number = {12},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2017_29_12_a10/}
}
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S. A. Mikheev; V. N. Ryzikov; V. P. Tsvetkov; I. V. Tsvetkov. Determination of instaneous cardiac rhythm parameters in multifractal dynamics model by regularized Newton's method. Matematičeskoe modelirovanie, Tome 29 (2017) no. 12, pp. 147-156. http://geodesic.mathdoc.fr/item/MM_2017_29_12_a10/