Modeling of Cerebral Blood Flow Control Processes

Student: Gudkov Nikolay

Faculty: HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE)

Educational Programme: Applied Mathematics (Bachelor)

Year of Graduation: 2024

The research area of this work focuses on studying the mathematical principles behind the regulation of cerebral blood flow. The model used, which describes the dynamics of cerebral hemodynamics during pressure surges, has good controllability. Regulation of cerebral hemodynamics modeling is treated as a control problem and several options for control design are proposed: feedback linearization, linear modal control and control with an integral term. Also the usage of Luenberger observer is studied, which helps to monitor the dynamics of the intracranial pressure without direct measurements.

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