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The present focus of heart flow studies is largely based on flow within theleft ventricle and how this flow changes when subject to disease. However,despite recent advancements, a simple tractable model of even healthy leftventricular flow has not been produced and made available. Reduced-ordermodeling techniques, such as proper orthogonal decomposition (POD) and dynamicmode decomposition (DMD), offer an effective means of expressing the largedatasets obtained from experiments or numerical simulations usinglow-dimensional models. While POD and DMD are often used to identify coherentstructures in fluid dynamics, their use as a modeling tool has not found muchmerit in the cardiovascular flow community. In this work, we use POD and DMD toconstruct reduced-order models for a healthy left ventricular flow as well asfor that under the influence of a particular disease shown to exhibit rich andunique intraventricular fluid dynamics, namely, aortic regurgitation (a leakingaortic valve). The performance of the two methods in reconstructing theintraventricular flows and derived quantities is evaluated, and the selectedreduced-order models are made available.

Reduced-order modeling of left ventricular flow subject to aortic valve regurgitation