Relaxation oscillation model of hemodynamic parameters in the cerebral vessels

All-Russian conference on Nonlinear Waves: Theory and New Applications

Cherevko, A.A.^1,2 ; Mikhaylova, A.V.^1 ; Chupakhin, A.P.^1,2 ; Ufimtseva, I.V.^1 ; Krivoshapkin, A.L.^3 ; Orlov, K Yu^3

Novosibirsk State University, Novosibirsk, Russia^1

Lavrentyev Institute of Hydrodynamics, Novosibirsk, Russia^2

Meshalkin Novosibirsk Research Institute of Circulation Pathology, Novosibirsk, Russia^3

关键词: Carotid bifurcation;    Complex environments;    Hemodynamic parameters;    Laboratory models;    Non-linear oscillators;    Relaxation oscillation;    Research institutes;    Velocity fluctuations;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/722/1/012045/pdf
DOI  :  10.1088/1742-6596/722/1/012045

来源: IOP

【 摘 要 】

Simulation of a blood flow under normality as well as under pathology is extremely complex problem of great current interest both from the point of view of fundamental hydrodynamics, and for medical applications. This paper proposes a model of Van der Pol - Duffing nonlinear oscillator equation describing relaxation oscillations of a blood flow in the cerebral vessels. The model is based on the patient-specific clinical experimental data flow obtained during the neurosurgical operations in Meshalkin Novosibirsk Research Institute of Circulation Pathology. The stability of the model is demonstrated through the variations of initial data and coefficients. It is universal and describes pressure and velocity fluctuations in different cerebral vessels (arteries, veins, sinuses), as well as in a laboratory model of carotid bifurcation. Derived equation describes the rheology of the "blood stream - elastic vessel wall gelatinous brain environment" composite system and represents the state equation of this complex environment.