Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
The analysis of solutions behaviour of Van der Pol Duffing equation describing local brain hemodynamics. / Cherevko, A. A.; Bord, E. E.; Khe, A. K. и др.
в: Journal of Physics: Conference Series, Том 894, № 1, 012012, 22.10.2017.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - The analysis of solutions behaviour of Van der Pol Duffing equation describing local brain hemodynamics
AU - Cherevko, A. A.
AU - Bord, E. E.
AU - Khe, A. K.
AU - Panarin, V. A.
AU - Orlov, K. J.
PY - 2017/10/22
Y1 - 2017/10/22
N2 - This article proposes the generalized model of Van der Pol - Duffing equation for describing the relaxation oscillations in local brain hemodynamics. This equation connects the velocity and pressure of blood flow in cerebral vessels. The equation is individual for each patient, since the coefficients are unique. Each set of coefficients is built based on clinical data obtained during neurosurgical operation in Siberian Federal Biomedical Research Center named after Academician E. N. Meshalkin. The equation has solutions of different structure defined by the coefficients and right side. We investigate the equations for different patients considering peculiarities of their vessel systems. The properties of approximate analytical solutions are studied. Amplitude-frequency and phase-frequency characteristics are built for the small-dimensional solution approximations.
AB - This article proposes the generalized model of Van der Pol - Duffing equation for describing the relaxation oscillations in local brain hemodynamics. This equation connects the velocity and pressure of blood flow in cerebral vessels. The equation is individual for each patient, since the coefficients are unique. Each set of coefficients is built based on clinical data obtained during neurosurgical operation in Siberian Federal Biomedical Research Center named after Academician E. N. Meshalkin. The equation has solutions of different structure defined by the coefficients and right side. We investigate the equations for different patients considering peculiarities of their vessel systems. The properties of approximate analytical solutions are studied. Amplitude-frequency and phase-frequency characteristics are built for the small-dimensional solution approximations.
KW - VESSELS
UR - http://www.scopus.com/inward/record.url?scp=85033218769&partnerID=8YFLogxK
U2 - 10.1088/1742-6596/894/1/012012
DO - 10.1088/1742-6596/894/1/012012
M3 - Article
AN - SCOPUS:85033218769
VL - 894
JO - Journal of Physics: Conference Series
JF - Journal of Physics: Conference Series
SN - 1742-6588
IS - 1
M1 - 012012
ER -
ID: 9721319