Implementation of cerebral autoregulation into computational fluid dynamics studies of cardiopulmonary bypass

Peri- or postoperative neurological complications are among the main risks for patients undergoing extracorporeal circulatory support (ECC). Two of the main reasons are an increased risk for strokes and altered flow conditions leading to cerebral hypoperfusion. This is strongly affected by cerebral autoregulation, which is the body's intrinsic ability to provide sufficient cerebral blood flow (CBF) despite changes in cerebral perfusion pressure (CPP). This complex mechanism has been mainly neglected in numerical studies, which have often been applied for analysis of ECC. In this study, a mathematical model is presented to implement cerebral autoregulation into computational fluid dynamics (CFD) studies. CFD simulations of cardiopulmonary bypass (CPB) were performed in a 3D model of the cardiovascular system, with flow variations between 4.5-6 L/min. Cerebral outlets were modeled using an equation to calculate CBF based on CPP. Assuming full regulation, CBF was kept constant for CPP between 80 and 120 mm Hg. A deviation in CBF of 20% occurred for CPP between 55-80 mm Hg and 120-145 mm Hg, respectively. The level of regulation was varied to take possible impairment of cerebral autoregulation into account. Furthermore, chronic hypertension was modeled by increasing the baseline CPP. Results indicate that even for full autoregulation, CBF is decreased during CPB. It is even lower for impaired autoregulation and hypertensive patients, demonstrating the strong impact of autoregulation on CBF. It is therefore imperative to include this mechanism into CFD studies. The presented model can help to improve CPB support conditions based on patient-specific autoregulation parameters.