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      • Non-invasive estimation of relative pressure in turbulent flow using virtual work-energy

        Marlevi, David,Ha, Hojin,Dillon-Murphy, Desmond,Fernandes, Joao F.,Fovargue, Daniel,Colarieti-Tosti, Massimiliano,Larsson, Matilda,Lamata, Pablo,Figueroa, C. Alberto,Ebbers, Tino,Nordsletten, David A. Elsevier 2020 Medical image analysis Vol.60 No.-

        <P><B>Abstract</B></P> <P>Vascular pressure differences are established risk markers for a number of cardiovascular diseases. Relative pressures are, however, often driven by turbulence-induced flow fluctuations, where conventional non-invasive methods may yield inaccurate results. Recently, we proposed a novel method for non-turbulent flows, <I>ν</I>WERP, utilizing the concept of virtual work-energy to accurately probe relative pressure through complex branching vasculature. Here, we present an extension of this approach for turbulent flows: <I>ν</I>WERP-t. We present a theoretical method derivation based on flow covariance, quantifying the impact of flow fluctuations on relative pressure. <I>ν</I>WERP-t is tested on a set of <I>in-vitro</I> stenotic flow phantoms with data acquired by 4D flow MRI with six-directional flow encoding, as well as on a patient-specific <I>in-silico</I> model of an acute aortic dissection. Over all tests <I>ν</I>WERP-t shows improved accuracy over alternative energy-based approaches, with excellent recovery of estimated relative pressures. In particular, the use of a guaranteed divergence-free virtual field improves accuracy in cases where turbulent flows skew the apparent divergence of the acquired field. With the original <I>ν</I>WERP allowing for assessment of relative pressure into previously inaccessible vasculatures, the extended <I>ν</I>WERP-t further enlarges the method's clinical scope, underlining its potential as a novel tool for assessing relative pressure <I>in-vivo</I>.</P> <P><B>Highlights</B></P> <P> <UL> <LI> vWERP-t uses virtual work-energy to accurately assess turbulent relative pressure. </LI> <LI> In-vitro, vWERP-t shows 1:1 agreement with invasive measurements of relative pressure. </LI> <LI> In transient flow, vWERP-t shows significant improvement compared to other approaches. </LI> <LI> vWERP-t guarantees divergence free flow even in turbulent fields, improving accuracy. </LI> </UL> </P> <P><B>Graphical abstract</B></P> <P>[DISPLAY OMISSION]</P>

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