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Dal'nevostochnyi Matematicheskii Zhurnal, 2022, Volume 22, Number 2, Pages 170–175
DOI: https://doi.org/10.47910/FEMJ202220 (Mi dvmg483) 		 
Modeling and simulation of cerebral blood flow autoregulation considered as an output regulation control problem

A. E. Golubev

Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow
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DOI: https://doi.org/10.47910/FEMJ202220
Abstract: A mathematical model of cerebral blood flow in the form of a system of nonlinear ordinary differential equations is studied. The cerebral blood flow autoregulation modeling problem is formulated as an output regulation automatic control problem. The nonlinear dynamics inversion based approach is applied to reveal the controllability properties of the model and construct the feedback control laws which describe mathematics behind the cerebrovascular autoregulation mechanism.
Key words: intracranial hemodynamics, cerebral autoregulation, nonlinear control, dynamics inversion, output regulation.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation AAAA-A20-120011690138-6
This research was carried out within the framework of the state assignment (registration No. AAAA-A20-120011690138-6) at Ishlinsky Institute for Problems in Mechanics RAS.
Received: 28.06.2022
Bibliographic databases:
Document Type: Article
UDC: 519.71
MSC: 93C95
Language: English
Citation: A. E. Golubev, “Modeling and simulation of cerebral blood flow autoregulation considered as an output regulation control problem”, Dal'nevost. Mat. Zh., 22:2 (2022), 170–175
Citation in format AMSBIB
\Bibitem{Gol22}
\by A.~E.~Golubev
\paper Modeling and simulation of cerebral blood flow autoregulation considered as an output regulation control problem
\jour Dal'nevost. Mat. Zh.
\yr 2022
\vol 22
\issue 2
\pages 170--175
\mathnet{http://mi.mathnet.ru/dvmg483}
\crossref{https://doi.org/10.47910/FEMJ202220}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4529954}
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