Modeling of Cerebral Blood Flow Autoregulation Using Mathematical Control Theory

A mathematical model of cerebral blood flow in the form a dynamical system is studied. The autoregulation modeling problem treated as nonlinear control and potential applicability theory techniques are analyzed this respect. It shown that hemodynamics question differentially flat. Then, integrator backstepping approach combined with barrier Lyapunov functions applied to construct laws recover performance healthy human. Simulation results confirm good flexibility suggested design. conducted research should enrich our understanding mathematics behind mechanisms medical treatments compensate for impaired autoregulation, e.g., preterm infants.