A Lumped Parameters Dynamic Model for Cerebral Circulation

Abstract

A lumped parameters dynamic model for cerebral blood circulation is constructed according to the hydrodynamic model, and the simulations prove the validity of this model. Given the values of the parameters and inputted the waveform of pressure, cerebral blood flow (CBF) can be computed by solving the governing equation of the model. The simulated results show that when artery blood pressure (ABP) drops 15mmHg, CBF drops rapidly at the same time, but in a short time it recovers to almost the same value as before ABP drops. When ABP rises to 15mmHg higher than the normal, the procedure, CBF recovers to the normal value in a short time, is simulated too. Both the dynamic behavior of cerebral blood circulation are simulated numerically by this model, and the results prove that the model can exhibit the cerebral autoregulation mechanism and should be a good reference for the further research to the modeling the cerebral blood circulation. The knowledge how to fit the parameters of the model to the measured data sets and the influence of the parameters on the system is essential. These topics are discussed as an outlook for further research.