Mathematical modeling of low-frequency oscillations induced by modulated noise in human microvasculature

Andrey A. Grinevich; Arina V. Tankanag; Nikolay K. Chemeris

doi:10.1117/12.2559838

9 April 2020 Mathematical modeling of low-frequency oscillations induced by modulated noise in human microvasculature

Andrey A. Grinevich, Arina V. Tankanag, Nikolay K. Chemeris

Proceedings Volume 11459, Saratov Fall Meeting 2019: Computations and Data Analysis: from Nanoscale Tools to Brain Functions; 114590S (2020) https://doi.org/10.1117/12.2559838
Event: Saratov Fall Meeting 2019: VII International Symposium on Optics and Biophotonics, 2019, Saratov, Russian Federation

Abstract

A mathematical hydrodynamic model of human cardiovascular bed has been developed. The model includes a 4- chamber heart, two circles of blood circulation and a multilevel microvasculature. Using model developed we studied the influence of low-intensity noise on blood flow oscillations in microvascular bed. In the study low-intensity noise effects on heart wall tone of left ventricle. Unmodulated noise and noise modulated by a sine with frequencies of 0.02, 0.0625 and 0.1 Hz were used. Unmodulated noise induced the forming of low-frequency oscillations of microvascular blood flow with a peak at the frequency of 0.1 Hz. Modulated noise induced low-frequency oscillations of blood flow with pronounced peaks at the modulation frequencies. The obtained results indicate a detecting property of simulated vascular bed that allows one to define modulating signal. This behavior is a characteristic of the system consisting of nonlinear and filtering components.

Citation Download Citation

Andrey A. Grinevich, Arina V. Tankanag, and Nikolay K. Chemeris "Mathematical modeling of low-frequency oscillations induced by modulated noise in human microvasculature", Proc. SPIE 11459, Saratov Fall Meeting 2019: Computations and Data Analysis: from Nanoscale Tools to Brain Functions, 114590S (9 April 2020); https://doi.org/10.1117/12.2559838

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