This will be a general talk about the application of computational fluid dynamics and structural mechanics (finite element analysis) techniques to model human physiology. Computer modeling solutions have been shown to be extremely useful in health science and clinics. These solutions are used to detect diseases and their severity, design choice of best treatment technique and optimize surgery outcome health. I will briefly mention several topics that I have published recently about patient-specific cardiovascular system models and their simulations for surgical planning: pulmonary artery patch design, coronary artery bypass design, repair of congenital heart defects, etc. Also, I will present my current studies about the characterization of vessel mechanics and hemodynamics for pulmonary hypertension, diagnosis and prognosis of cardiopulmonary diseases such as cerebral aneurysm and stroke and finally the drug delivery for abdominal aortic aneurysm patients. Possible applications of ion transport and nanofluidics on biomedical engineering such as drug delivery and endothelial cell damage will also be discussed.