Computation of flow pressure fields from magnetic resonance velocity mapping

Magnetic resonance phase velocity mapping has unrivalled capacities for acquiring in vivo multi‐directional blood flow information. In this study, the authors set out to derive both spatial and temporal components of acceleration, and hence differences of pressure in a flow field using cine magnetic resonance velocity data. An efficient numerical algorithm based on the Navier‐Stokes equations for incompressible Newtonian fluid was used. The computational approach was validated with in vitro flow phantoms. This work aims to contribute to a better understanding of cardiovascular dynamics and to serve as a basis for investigating pulsatile pressure/ flow relationships associated with normal and impaired cardiovascular function.