Modelling, Analysis and Calculation of Cerebral Hemodynamics

Silvia Daun, Thorsten Tjardes
2007 Computational and Mathematical Methods in Medicine  
Mathematical models of cerebral hemodynamics, applicable to humans and rats have been developed and analysed with the purpose of reaching a deeper insight to which degree experimental results on rats can be extrapolated to humans and to clinical management of patients. These models include regulation mechanisms involving the small cerebral arteries and arterioles, flow autoregulation, as well as CO2and NO reactivity. Bifurcation analysis was conducted on both models.The human model includes
more » ... model includes Hopf-bifurcations, which allow for the existence of periodic solutions with a time scale comparable to Lundberg's plateau waves in intracranial pressure (Pic). By contrast, the rat model does not manifest Hopf-bifurcations and thus does not predict the existence of periodic solutions with critical highPic.Therefore the model questions the relevance of rodent injury models to predict human physiology following TBI.
doi:10.1080/17486700701530018 fatcat:bxi3yfhlmjagda27wyubldxf5a