Determination of instaneous cardiac rhythm parameters in multifractal dynamics model by regularized Newton’s method. (Russian. English summary) Zbl 1413.92004

Mikheev, S. A.; Ryzikov, V. N.; Tsvetkov, V. P.; Tsvetkov, I. V.

Mat. Model. 29, No. 12, 147-156 (2017).

A system of nonlinear equations of a multi-fractal dynamical model describing instantaneous cardiac rhythm in a regular domain and in the domain of step functions is found. The system of equations is solved numerically using a regularized scheme of Newton’s method. Numerical values of the multi-fractal model parameters with use results of the Holter monitoring are found for the patient of the Tver (a small town near Moscow) cardiac hospital.

Reviewer: Sergei Georgievich Zhuravlev (Moskva)

MSC:

92B25	Biological rhythms and synchronization
92C50	Medical applications (general)
28A80	Fractals

Keywords:

medicine; cardiac rhythms; instantaneous rhythm; fractals; fractal dynamics; Holter’s monitoring; numerical methods; Newton method; bifurcations