Mathematical modeling in cardiac surgery: helping clinical trials answer the question.

Mathematical modeling, based on fundamental principles from engineering may help clinical trial design, aiding in answering problems that remain in cardiac surgery, such as management of carotid artery stenosis in patients undergoing cardiopulmonary bypass (CPB), hematocrit during CPB, adequacy of oxygen delivery during CPB, adequacy of blood pressure management during CPB, filtration during bypass for renal failure, bypass circuit pacification, carbon dioxide wound insufflation and neurological events, and pulsatile to nonpulsatile flow during CPB. In addition, mathematical modeling may help explain deficiencies of previous work that have failed to clarify what to do.