Тип публикации: доклад, тезисы доклада, статья из сборника материалов конференций
Конференция: All-Russian Conference with International Participation on Modern Problems of Continuum Mechanics and Explosion Physics: Dedicated to the 60th Anniversary of Lavrentyev Institute of Hydrodynamics SB RAS, MPCMEP 2017
Год издания: 2017
Идентификатор DOI: 10.1088/1742-6596/894/1/012012
Аннотация: 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 coefficПоказать полностьюients 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.
Журнал: Journal of Physics: Conference Series
Выпуск журнала: Vol. 894, Is. 1
Номера страниц: 12012
ISSN журнала: 17426588
Издатель: Institute of Physics Publishing