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Titel:

Modeling of Cerebral Blood Flow Autoregulation Using Mathematical Control Theory

Dokumenttyp:
Article
Autor(en):
Golubev, Alexey; Kovtanyuk, Andrey; Lampe, Renee
Abstract:
A mathematical model of cerebral blood flow in the form of a dynamical system is studied. The cerebral blood flow autoregulation modeling problem is treated as a nonlinear control problem and the potential and applicability of the nonlinear control theory techniques are analyzed in this respect. It is shown that the cerebral hemodynamics model in question is differentially flat. Then, the integrator backstepping approach combined with barrier Lyapunov functions is applied to construct the contro...     »
Stichworte:
intracranial hemodynamics; cerebral autoregulation; biomechanical system; nonlinear dynamics; nonlinear control; differential flatness; output tracking; integrator backstepping
Zeitschriftentitel:
Mathematics
Jahr:
2022
Band / Volume:
10
Monat:
JUN
Heft / Issue:
12
Sprache:
English
Volltext / DOI:
doi:10.3390/math10122060
Verlag / Institution:
MDPI
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