title: Using PIV to determine relative pressures in a stenotic phantom under steady flow based on the pressure-poisson equation.
abstract: Pressure gradient across a Gaussian-shaped 87% area stenosis phantom was estimated by solving the pressure Poisson equation (PPE) for a steady flow mimicking the blood flow through the human iliac artery. The velocity field needed to solve the pressure equation was obtained using particle image velocimetry (PIV). A steady flow rate of 46.9 ml/s was used, which corresponds to a Reynolds number of 188 and 595 at the inlet and stenosis throat, respectively (in the range of mean Reynolds number encountered in-vivo). In addition, computational fluid dynamics (CFD) simulation of the same flow was performed. Pressure drops across the stenosis predicted by PPE/PIV and CFD were compared with those measured by a pressure catheter transducer. RMS errors relative to the measurements were 17% and 10% for PPE/PIV and CFD, respectively.
authors.affiliation: Medical Imaging Lab., Department of Electrical and Computer Engineering, University of Louisville, KY 40292, USA. i0khod01@louisville.edu
authors.forename: Iman
authors.initials: I
authors.lastname: Khodarahmi
authors.forename: Mostafa
authors.initials: M
authors.lastname: Shakeri
authors.forename: M
authors.initials: M
authors.lastname: Sharp
authors.forename: Amir A
authors.initials: AA
authors.lastname: Amini
mesh_terms: D000368:Aged; D000465:Algorithms; D000792:Angiography / Q000379:methods; D001783:Blood Flow Velocity / Q000502:physiology; D003251:Constriction, Pathologic / Q000473:pathology*; D004867:Equipment Design; D006801:Humans; D057446:Hydrodynamics; D008955:Models, Cardiovascular; D016011:Normal Distribution; D019047:Phantoms, Imaging; D016012:Poisson Distribution; D011312:Pressure; D015203:Reproducibility of Results; D012212:Rheology / Q000379:methods