Modeling and simulation of cerebral blood flow autoregulation considered as an output regulation control problem

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.