The study of the dependence of the human heart rate from the frequency of controlled breathing
Grinevich A.A., Tankanag A.V., Chemeris N.K.
Institute of Cell Biophysics of RAS, Pushchino, Moscow region, 142290, Russian Federation
Abstract. The dependence of heart rate variability from the frequency of controlled breathing was studied by comprehensive mathematical model «PNEUMA». It is shown that the inclusion in the model the frequency dependence of the signal transmission coefficients for the parasympathetic and beta-sympathetic regulation of heart rate leads to the bell-shaped dependence of heart rate variability from frequency of controlled breathing with a peak at a frequency of 0.1 Hz. This is in qualitative agreement with experimental data.
Key words: mathematical modeling, heart rate variability, autonomic control, respiratory sinus arrhythmia, amplitude-frequency spectra, adaptive wavelet.