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The analysis of solutions behaviour of Van der Pol Duffing equation describing local brain hemodynamics. / Cherevko, A. A.; Bord, E. E.; Khe, A. K. et al.

In: Journal of Physics: Conference Series, Vol. 894, No. 1, 012012, 22.10.2017.

Research output: Contribution to journal › Article › peer-review

Harvard

Cherevko, AA, Bord, EE, Khe, AK, Panarin, VA & Orlov, KJ 2017, 'The analysis of solutions behaviour of Van der Pol Duffing equation describing local brain hemodynamics', Journal of Physics: Conference Series, vol. 894, no. 1, 012012. https://doi.org/10.1088/1742-6596/894/1/012012

APA

Cherevko, A. A., Bord, E. E., Khe, A. K., Panarin, V. A., & Orlov, K. J. (2017). The analysis of solutions behaviour of Van der Pol Duffing equation describing local brain hemodynamics. Journal of Physics: Conference Series, 894(1), [012012]. https://doi.org/10.1088/1742-6596/894/1/012012

Vancouver

Cherevko AA, Bord EE, Khe AK, Panarin VA, Orlov KJ. The analysis of solutions behaviour of Van der Pol Duffing equation describing local brain hemodynamics. Journal of Physics: Conference Series. 2017 Oct 22;894(1):012012. doi: 10.1088/1742-6596/894/1/012012

Author

Cherevko, A. A. ; Bord, E. E. ; Khe, A. K. et al. / The analysis of solutions behaviour of Van der Pol Duffing equation describing local brain hemodynamics. In: Journal of Physics: Conference Series. 2017 ; Vol. 894, No. 1.

BibTeX

@article{50a7cd0080c44a8eae3e3195134d2a77,
title = "The analysis of solutions behaviour of Van der Pol Duffing equation describing local brain hemodynamics",
abstract = "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.",
keywords = "VESSELS",
author = "Cherevko, {A. A.} and Bord, {E. E.} and Khe, {A. K.} and Panarin, {V. A.} and Orlov, {K. J.}",
year = "2017",
month = oct,
day = "22",
doi = "10.1088/1742-6596/894/1/012012",
language = "English",
volume = "894",
journal = "Journal of Physics: Conference Series",
issn = "1742-6588",
publisher = "IOP Publishing Ltd.",
number = "1",

}

RIS

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