On the evaluation of vorticity using cardiovascular magnetic resonance velocity measurements.

Authors: Garcia, JulioPibarot, PhilippeLarose, ÉricKadem, Lyes
Abstract: Vorticity and vortical structures play a fundamental role affect- ing the evaluation of energetic aspects (mainly left ventricle work) of cardiovascular function. Vorticity can be derived from cardiovascular magnetic resonance (CMR) imaging velocity measurements. However, several numerical schemes can be used to evaluate the vorticity field. The main objective of this work is to assess different numerical schemes used to evaluate the vor- ticity field derived from CMR velocity measurements. We com- pared the vorticity field obtained using direct differentiation schemes (eight-point circulation and Chapra) and derivate dif- ferentiation schemes (Richardson 4* and compact Richardson 4*) from a theoretical velocity field and in vivo CMR velocity measurements. In all cases, the effect of artificial spatial resolu- tion up-sampling and signal-to-noise ratio (SNR) on vorticity computation was evaluated. Theoretical and in vivo results showed that the eight-point circulation method underestimated vorticity. Up-sampling evaluation showed that the artificial improvement of spatial resolution had no effect on mean abso- lute vorticity estimation but it affected SNR for all methods. The Richardson 4* method and its compact version were the most accurate and stable methods for vorticity magnitude evaluation. Vorticity field determination using the eight-point circulation method, the most common method used in CMR, has reduced ac- curacy compared to other vorticity schemes. Richardson 4* and its compact version showed stable SNR using both theoretical and in vivo data.
Document Type: Article de recherche
Issue Date: 24 October 2013
Open Access Date: 26 September 2016
Document version: VoR
Permalink: http://hdl.handle.net/20.500.11794/6828
This document was published in: Journal of biomechanical engineering, Vol. 135 (12), (2013)
https://doi.org/10.1115/1.4025385
Alternative version: 10.1115/1.4025385
Collection:Articles publiés dans des revues avec comité de lecture

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