Inferring Models for the Pressure Gradient in an Idealized Stenosis

  • Livingston, Elizabeth (University of Michigan)
  • Figueroa, Alberto (University of Michigan)
  • Garikipati, Krishna (University of Michigan)

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Flow through restrictions has been studied for many problems from aerospace to biomechanics. Since the early 1970s, there has been an effort to develop models for the pressure gradient across a stenosis, a restriction in a blood vessel. A popular model from Young et. al has been used in multiple studies from experimental validation to studies of increasing computational complexity including multiscale simulations. Efforts to develop a new model are either limited by assumptions or are too complex for use in clinical applications. In this study, we use multiple techniques to discover a new reduced order model (ROM) as well as develop surrogate models for the pressure gradient across a stenosis.