Abstract
Model-based interpretation of the complex clinical data now available (shape, motion, flow) can provide quantitative information for diagnosis as well as predictions. However such models can be extremely time consuming, which does not always fit with the clinical time constraints. The aim of this work is to propose a model reduction technique to perform faster patient-specific simulations with prior knowledge built from simulations on an average anatomy. Rather than simulating a full fluid problem on individual patients, we create a representative ‘template’ of the artery shape. A full flow simulation is carried out only on this template, and a reduced model is built from the results. Then this reduced model can be transported to the individual geometries, allowing faster computational analysis. Here we propose a preliminary validation of this idea. A well-posed framework based on currents representation of shapes is used to create an unbiased template of the pulmonary artery for 4 patients with Tetralogy of Fallot. Then, a reduced computational fluid dynamics model is built on this template. Finally, we demonstrate that this reduced model can represent a specific patient simulation.
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Durrleman, S., Pennec, X., Trouvé, A., Ayache, N.: A forward model to build unbiased atlases from curves and surfaces. In: Pennec, X., Joshi, S. (eds.) Proc. of the International Workshop on the Mathematical Foundations of Computational Anatomy, (MFCA 2008) (2008)
Durrleman, S., Pennec, X., Trouvé, A., Ayache, N.: Statistical Models of Sets of Curves and Surfaces based on Currents. Medical Image Analysis 13(5), 793–808 (2009)
Vaillant, M., Glaunes, J.: Surface matching via currents. In: Christensen, G.E., Sonka, M. (eds.) IPMI 2005. LNCS, vol. 3565, pp. 381–392. Springer, Heidelberg (2005)
Vignon-Clementel, I., Figueroa, C., Jansen, K., Taylor, C.: Outflow boundary conditions for 3D simulations of non-periodic blood flow and pressure fields in deformable arteries. Computer Methods in Biomechanics and Biomedical Engineering 111(3), 502–513 (2010)
Wu, C., Liang, Y., Lin, W., Lee, H., Lim, S.: A note on equivalence of proper orthogonal decomposition methods. J. Sound Vibration 265(5), 1103–1110 (2003)
Bergmann, M., Bruneau, C., Iollo, A.: Enablers for robust POD models. Journal of Computational Physics 228(2), 516–538 (2009)
Rathinam, M., Petzold, L.: A new look at proper orthogonal decomposition. SIAM Journal on Numerical Analysis 41(5), 1893–1925 (2004)
Løvgren, A., Maday, Y., Rønquist, E.: The reduced basis element method for fluid flows. In: Analysis and simulation of fluid dynamics. Adv. Math. Fluid Mech., pp. 129–154. Birkhäuser, Basel (2007)
Ciarlet, P.: Mathematical elasticity. Vol. I. Studies in Mathematics and its Applications, vol. 20. North-Holland Publishing Co., Amsterdam (1988); Three-dimensional elasticity
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McLeod, K. et al. (2010). Atlas-Based Reduced Models of Blood Flows for Fast Patient-Specific Simulations. In: Camara, O., Pop, M., Rhode, K., Sermesant, M., Smith, N., Young, A. (eds) Statistical Atlases and Computational Models of the Heart. STACOM 2010. Lecture Notes in Computer Science, vol 6364. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15835-3_10
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DOI: https://doi.org/10.1007/978-3-642-15835-3_10
Publisher Name: Springer, Berlin, Heidelberg
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