Abstract
Myocardial stiffness is a clinical biomarker used to diagnose and stratify diseases such as heart failure. This biomechanical property can be inferred from the personalisation of computational cardiac models to clinical measures. Nevertheless, previous attempts have been unable to determine a unique set of material constitutive parameters. In this study we address this shortcoming by proposing a new cost function that allows us to uncouple key parameters and uniquely describe passive material properties in patients from available clinical data.
P. Lamata—Equal contribution senior authors.
S.A. Niederer—Equal contribution senior authors.
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Augenstein, K.F., Cowan, B.R., LeGrice, I.J., Nielsen, P.M.F., Young, A.A.: Method and apparatus for soft tissue material parameter estimation using tissue tagged magnetic resonance imaging. J. Biomech. Eng. 127(1), 148 (2005)
Bermejo, J., Yotti, R., Pérez del Villar, C., del Álamo, J.C., Rodríguez-Pérez, D., Martínez-Legazpi, P., Benito, Y., Antoranz, J.C., Desco, M.M., González-Mansilla, A., Barrio, A., Elízaga, J., Fernández-Avilés, F.: Diastolic chamber properties of the left ventricle assessed by global fitting of pressure-volume data: improving the gold standard of diastolic function. J. Appl. Physiol. (Bethesda, Md.: 1985) 115(4), 556–568 (2013)
Guccione, J.M., McCulloch, A.D., Waldman, L.K.: Passive material properties of intact ventricular myocardium determined from a cylindrical model. J. Biomech. Eng. 113, 42–55 (1991)
Hadjicharalambous, M., Chabiniok, R., Asner, L., Sammut, E., Wong, J., Carr-White, G., Lee, J., Razavi, R., Smith, N., Nordsletten, D.: Analysis of passive cardiac constitutive laws for parameter estimation using 3D tagged MRI. Biomech. Model. Mechanobiol. 1–22 (2014)
Holzapfel, G.A., Ogden, R.W.: Constitutive modelling of passive myocardium: a structurally based framework for material characterization. Philos. Trans. Ser. A, Math. Phys. Eng. Sci. 367, 3445–3475 (2009)
Karwatowski, S.P., Brecker, S.J.D., Yang, G.Z., Firmin, D.N., Sutton, M.S.J., Underwood, S.R.: Cardiovascular physiology: a comparison of left ventricular myocardial velocity in diastole measured by magnetic resonance and left ventricular filling measured by doppler echocardiography. Eur. Heart J. 17(5), 795–802 (1996)
Lamata, P., Niederer, S., Nordsletten, D., Barber, D.C., Roy, I., Hose, D.R., Smith, N.: An accurate, fast and robust method to generate patient-specific cubic Hermite meshes. Med. Image Anal. 15(6), 801–813 (2011)
Lamata, P., Roy, I., Blazevic, B., Crozier, A., Land, S., Niederer, S.A., Hose, D.R., Smith, N.P.: Quality metrics for high order meshes: analysis of the mechanical simulation of the heart beat. IEEE Trans. Med. Imaging 32(1), 130–138 (2013)
Lamata, P., Sinclair, M., Kerfoot, E., Lee, A., Crozier, A., Blazevic, B., Land, S., Lewandowski, A.J., Barber, D., Niederer, S., Smith, N.: An automatic service for the personalization of ventricular cardiac meshes. J. Royal Soc. Interface/Royal Soc. 11(91), 20131023 (2014)
Land, S., Niederer, S., Lamata, P.: Estimation of diastolic biomarkers: sensitiviy to fibre orientation. In: Camara, O., Mansi, T., Pop, M., Rhode, K., Sermesant, M., Young, A. (eds.) STACOM 2014. LNCS, vol. 8896, pp. 105–113. Springer, Heidelberg (2015)
Nordbø, O., Lamata, P., Land, S., Niederer, S., Aronsen, J.M., Louch, W.E., Sjaastad, L., Martens, H., Gjuvsland, A.B., Tøndel, K., Torp, H., Lohezic, M., Schneider, J.E., Remme, E.W., Smith, N., Omholt, S.W., Vik, J.O.: A computational pipeline for quantification of mouse myocardial stiffness parameters. Comput. Biol. Med. 53, 63–75 (2014)
Nordsletten, D.A., Niederer, S.A., Nash, M.P., Hunter, P.J., Smith, N.P.: Coupling multi-physics models to cardiac mechanics. Progr. Biophys. Mol. Biol. 104(1–3), 77–88 (2011)
Shi, W., Jantsch, M., Aljabar, P., Pizarro, L., Bai, W., Wang, H., O’Regan, D., Zhuang, X., Rueckert, D.: Temporal sparse free-form deformations. Med. Image Anal. 17(7), 779–789 (2013)
Sutton, M.G.S.J., Sharpe, N.: Left ventricular remodeling after myocardial infarction: pathophysiology and therapy. Circulation 101(25), 2981–2988 (2000)
Usyk, T., Mazhari, R., McCulloch, A.: Effect of laminar orthotropic myofiber architecture on regional stress and strain in the canine left ventricle. J. Elast. Phys. Sci. Solids 61(1–3), 143–164 (2000)
de Vecchi, A., Gomez, A., Pushparajah, K., Schaeffter, T., Nordsletten, D.A., Simpson, J.M., Penney, G.P., Smith, N.P.: Towards a fast and efficient approach for modelling the patient-specific ventricular haemodynamics. Prog. Biophys. Mol. Biol. 116(1), 3–10 (2014)
Wang, V.Y., Lam, H.I., Ennis, D.B., Cowan, B.R., Young, A.A., Nash, M.P.: Modelling passive diastolic mechanics with quantitative MRI of cardiac structure and function. Med. Image Anal. 13, 773–784 (2009)
Westermann, D., Kasner, M., Steendijk, P., Spillmann, F., Riad, A., Weitmann, K., Hoffmann, W., Poller, W., Pauschinger, M., Schultheiss, H.P., Tschöpe, C.: Role of left ventricular stiffness in heart failure with normal ejection fraction. Circulation 117(16), 2051–2060 (2008)
Whiteley, J.P., Bishop, M.J., Gavaghan, D.J.: Soft tissue modelling of cardiac fibres for use in coupled mechano-electric simulations. Bull. Math. Biol. 69(7), 2199–2225 (2007)
Xi, J., Lamata, P., Niederer, S., Land, S., Shi, W., Zhuang, X., Ourselin, S., Duckett, S.G., Shetty, A.K., Rinaldi, C.A., Rueckert, D., Razavi, R., Smith, N.P.: The estimation of patient-specific cardiac diastolic functions from clinical measurements. Med. Image Anal. 17(2), 133–146 (2013)
Xi, J., Shi, W., Rueckert, D., Razavi, R., Smith, N.P., Lamata, P.: Understanding the need of ventricular pressure for the estimation of diastolic biomarkers. Biomech. Model. Mechanobiol. 13(4), 747–757 (2014)
Zienkiewicz, O., Taylor, R., Zhu, J.: The Finite Element Method: Its Basis and Fundamentals. Butterworth-Heinemann, UK (2013)
Zile, M.R.: New concepts in diastolic dysfunction and diastolic heart failure: part i: diagnosis, prognosis, and measurements of diastolic function. Circulation 105(11), 1387–1393 (2002)
Acknowledgements
The authors would like to acknowledge financial support from the NIHR Biomedical Research Centre at Guy’s and St. Thomas’ NHS Foundation Trust and KCL, and support from the Wellcome Trust and EPSRC Centre of Excellence in Medical Engineering. S.A.N is supported by BHF PG/11/101/29212. PL holds a Sir Henry Dale Fellowship funded jointly by the Wellcome Trust and the Royal Society (grant no. 099973/Z/12/Z).
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Nasopoulou, A. et al. (2015). Myocardial Stiffness Estimation: A Novel Cost Function for Unique Parameter Identification . In: van Assen, H., Bovendeerd, P., Delhaas, T. (eds) Functional Imaging and Modeling of the Heart. FIMH 2015. Lecture Notes in Computer Science(), vol 9126. Springer, Cham. https://doi.org/10.1007/978-3-319-20309-6_41
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DOI: https://doi.org/10.1007/978-3-319-20309-6_41
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