Abstract
In this paper we outline our approach for creating subject-specific whole-cycle canine left-ventricular models, as part of the 2014 STACOM Challenge. Each canine heart was modeled using the principle of stationary potential energy, with the myocardium treated as a nearly incompressible hyperelastic material. Given incomplete data on the motion and behavior of each canine heart, we decreased model complexity by employing reduced–parameter constitutive laws. Additionally, base plane motion and left ventricular volume input data were integrated into the cardiac cycle model through the inclusion of novel external energy potentials (using Lagrange multipliers), which allow for relaxed adherence to the constraints and minimize spurious energy modes stemming from model simplification and data noise. Subsequently, using the available data we employ the reduced-order unscented Kalman filter (ROUKF) approach to estimate the myocardial passive parameters and active tension. Finally, along with model predictions for each canine, we assess the spatial convergence and robustness of our model.
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References
Augenstein, K., Cowan, B., LeGrice, I., Nielsen, P., Young, A.: Method and apparatus for soft tissue material parameter estimation using tissue tagged magnetic resonance imaging. J. Biomech. Eng. 127(1), 148–157 (2005)
Bonet, J., Wood, R.: Nonlinear Continuum Mechanics for Finite Element Analysis. Cambridge University Press (2008)
Brezzi, F., Fortin, M.: Mixed and hybrid finite element methods. Springer, Heidelberg (1991)
Chabiniok, R., Moireau, P., Lesault, P.-F., Rahmouni, A., Deux, J.-F., Chapelle, D.: Estimation of tissue contractility from cardiac cine-MRI using a biomechanical heart model. Biomech. Model. Mechan. 11(5), 609–630 (2012)
Chapelle, D., Fragu, M., Mallet, V., Moireau, P.: Fundamental principles of data assimilation underlying the Verdandi library: applications to biophysical model personalization within euHeart. Med. Biol. Eng. Comput. 51(11), 1221–1233 (2013)
Hadjicharalambous, M., Lee, J., Smith, N., Nordsletten, D.: A displacement-based finite element formulation for incompressible and nearly-incompressible cardiac mechanics. Comput. Method. Appl. M. 274, 213–236 (2014)
Hadjicharalambous, M., Asner, L., Chabiniok, R., Sammut, E., Wong, J., Carr-White, G., Razavi, R., Nordsletten, D.: Analysis of cardiac constitutive laws for parameter estimation using 3D tagged MRI. Biomech. Model. Mechan (accepted for publication)
Holzapfel, G., Ogden, R.: Constitutive modelling of passive myocardium: a structurally based framework for material characterization. Philos. T. R. Soc. A 367, 3445–3475 (2009)
Kerckhoffs, R., Bovendeerd, P., Prinzen, F., Smits, K., Arts, T.: Intra- and interventricular asynchrony of electromechanics in the ventricularly paced heart. J. Eng. Math. 47, 201–216 (2003)
Klotz, S., Hay, I., Dickstein, M., Yi, G., Wang, J., Maurer, M., Kass, D., Burkhoff, D.: Single-beat estimation of end-diastolic pressure-volume relationship: a novel method with potential for noninvasive application. Am. J. Physiol.-Heart C 291, H403–H412 (2006)
Marchesseau, S., Delingette, H., Sermesant, M., Ayache, N.: Fast parameter calibration of a cardiac electromechanical model from medical images based on the unscented transform. Biomech. Model. Mechan. 12(4), 815–831 (2013)
Moireau, P., Chapelle, D.: Reduced-order unscented Kalman filtering with application to parameter identification in large-dimensional systems. ESAIM Contr. Op. Ca. Va. 17(2), 380–405 (2011)
Nordsletten, D., Niederer, S., Nash, M., Hunter, P., Smith, N.: Coupling multi-physics models to cardiac mechanics. Prog. Biophys. Mol. Bio. 104, 77–88 (2011)
Wang, V., Lam, H., Ennis, D., Cowan, B., Young, A., Nash, M.: Modelling passive diastolic mechanics with quantitative MRI of cardiac structure and function. Med. Image Anal. 13(5), 773–784 (2009)
Xi, J., Lamata, P., Niederer, S., Land, S., Shi, W., Zhuang, X., Ourselin, S., Duckett, S., Shetty, A., Rinaldi, A., Rueckert, D., Razavi, R., Smith, N.: The estimation of patient-specific cardiac diastolic functions from clinical measurements. Med. Image Anal. 17(2), 133–146 (2013)
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Asner, L., Hadjicharalambous, M., Lee, J., Nordsletten, D. (2015). STACOM Challenge: Simulating Left Ventricular Mechanics in the Canine Heart. In: Camara, O., Mansi, T., Pop, M., Rhode, K., Sermesant, M., Young, A. (eds) Statistical Atlases and Computational Models of the Heart - Imaging and Modelling Challenges. STACOM 2014. Lecture Notes in Computer Science(), vol 8896. Springer, Cham. https://doi.org/10.1007/978-3-319-14678-2_13
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DOI: https://doi.org/10.1007/978-3-319-14678-2_13
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