Velocity-based cardiac contractility personalization from images using derivative-free optimization

Journal of the Mechanical Behavior of Biomedical Materials

Volumn 43, Issue , 2015, Pages 35-52

  Wong, Ken C L ^a   Sermesant, Maxime ^a   Rhode, Kawal ^b   Ginks, Matthew ^b   Rinaldi, C Aldo ^b   Razavi, Reza ^b   Delingette, Hervé ^a   Ayache, Nicholas ^a  

^a INRIA   (France)

^b ST THOMAS HOSPITAL   (United Kingdom)

Author keywords

Cardiac contractility; Cardiac electromechanical model; Derivative free optimization; Model personalization; Parameter estimation

Indexed keywords

FINITE DIFFERENCE METHOD; HEART; MEDICAL IMAGING; PARAMETER ESTIMATION; PLANTS (BOTANY);

ANALYTICAL EVALUATION; CARDIAC CONTRACTILITY; DERIVATIVE-FREE OPTIMIZATION; DERIVATIVE-FREE OPTIMIZATION ALGORITHMS; ELECTROMECHANICAL MODELING; FINITE DIFFERENCE APPROXIMATIONS; GRADIENT-BASED OPTIMIZATION; PERSONALIZATIONS;

OPTIMIZATION;

ALGORITHM; ARTICLE; CONCEPTUAL FRAMEWORK; HEART ELECTROPHYSIOLOGY; HEART MUSCLE CONTRACTILITY; HEART MUSCLE RELAXATION; KINEMATICS; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; PRIORITY JOURNAL; VELOCITY; BIOLOGICAL MODEL; BIOMECHANICS; HEART; HEART CONTRACTION; HEART DISEASE; HUMAN; IMAGE PROCESSING; MECHANICAL STRESS; PATHOPHYSIOLOGY; PHYSIOLOGY;

ALGORITHMS; BIOMECHANICAL PHENOMENA; HEART; HEART DISEASES; HUMANS; IMAGE PROCESSING, COMPUTER-ASSISTED; MYOCARDIAL CONTRACTION; PATIENT-SPECIFIC MODELING; STRESS, MECHANICAL;

EID: 84942088887     PISSN: 17516161     EISSN: 18780180     Source Type: Journal    
DOI: 10.1016/j.jmbbm.2014.12.002     Document Type: Article

References (35)

1. Bathe K.J. Finite Element Procedures 1996, Prentice Hall, Upper Saddle River, NJ.
2. Belytschko T., Krongauz Y., Organ D., Fleming M., Krysl P. Meshless methods. an overview and recent developments. Comput. Methods Appl. Mech. Eng. 1996, 139(1-4):3-47.
3. Bestel, J., Clément, F., Sorine, M., 2001. A biomechanical model of muscle contraction. In: International Conference on Medical Image Computing and Computer Assisted Intervention, Lecture Notes in Computer Science, vol. 2208. Springer, Berlin, pp. 1159-1161.
4. Billet, F., Sermesant, M., Delingette, H., Ayache, N., 2009. Cardiac motion recovery and boundary conditions estimation by coupling an electromechanical model and cine-MRI data. In: International Conference on Functional Imaging and Modeling of the Heart. Lecture Notes in Computer Science, vol. 5528. Springer, Berlin, pp. 376-385.
5. Cerqueira M.D., Weissman N.J., Dilsizian V., Jacobs A.K., Kaul S., Laskey W.K., Pennell D.J., Rumberger J.A., Ryan T., Verani M.S. Standardized myocardial segmentation and nomenclature for tomographic imaging of the heart. a statement for healthcare professionals from the cardiac imaging committee of the council on clinical cardiology of the American Heart Association. Circulation 2002, 105:539-542.
6. Chabiniok, R., Moireau, P., Lesault, P.-F., Rahmouni, A., Deux, J.-F., Chapelle, D., 2011. Trials on tissue contractility estimation from cardiac cine MRI using a biomechanical heart model. In: International Conference on Functional Imaging and Modeling of the Heart. Lecture Notes in Computer Science, vol. 6666. Springer, Berlin, pp. 304-312.
7. Conn A.R., Scheinberg K., Vicente L.N. Introduction to Derivative-Free Optimization 2009, vol. 8. Society for Industrial Mathematics, Philadelphia, PA.
8. Delingette H., Billet F., Wong K.C.L., Sermesant M., Rhode K., Ginks M., Rinaldi C.A., Razavi R., Ayache N. Personalization of cardiac motion and contractility from images using variational data assimilation. IEEE Trans. Biomed. Eng. 2012, 59(1):20-24.
9. Germann W.J., Stanfield C.L. Principles of Human Physiology 2005, Pearson Benjamin Cummings, San Francisco, CA.
10. Theory of Heart: Biomechanics, Biophysics, and Nonlinear Dynamics of Cardiac Function 1991, Springer-Verlag, New York, NY. L. Glass, P. Hunter, A. McCulloch (Eds.).
11. Hu Z., Metaxas D., Axel L. In vivo strain and stress estimation of the heart left and right ventricles from MRI images. Med. Image Anal. 2003, 7(4):435-444.
12. Liu H., Shi P. Maximum a posteriori strategy for the simultaneous motion and material property estimation of the heart. IEEE Trans. Biomed. Eng. 2009, 56(2):378-389.
13. Marchesseau S., Delingette H., Sermesant M., Cabrera-Lozoya R., Tobon-Gomez C., Moireau P., Figueras i Ventura R.M., Lekadir K., Hernandez A., Garreau M., Donal E., Leclercq C., Duckett S.G., Rhode K., Rinaldi C., Frangi A.F., Razavi R., Chapelle D., Ayache N. Personalization of a cardiac electromechanical model using reduced order unscented Kalman filtering from regional volumes. Med. Image Anal. 2013, 17(7):816-829.
14. Mason D.T., Braunwald E., Covell J.W., Sonnenblick E.H., Ross J. Assessment of cardiac contractility: the relation between the rate of pressure rise and ventricular pressure during isovolumic systole. Circulation 1971, 44(1):47-58.
15. Mitchell C.C., Schaeffer D.G. A two-current model for the dynamics of cardiac membrane. Bull. Math. Biol. 2003, 65(5):767-793.
16. Moireau P., Chapelle D., Le Tallec P. Joint state and parameter estimation for distributed mechanical systems. Comput. Methods Appl. Mech. Eng. 2008, 197(6-8):659-677.
17. Nash, M., 1998. Mechanics and Material Properties of the Heart Using an Anatomically Accurate Mathematical Model (Ph.D. thesis). The University of Auckland.
18. Nelder J.A., Mead R. A simplex method for function minimization. Comput. J. 1965, 7(4):308-313.
19. Powell M.J.D. On trust region methods for unconstrained minimization without derivatives. Math. Program. 2003, 97(3):605-623.
20. Rao S.S. Engineering Optimization: Theory and Practice 2009, John Wiley & Sons, Inc., Hoboken, NJ.
21. Relan J., Chinchapatnam P., Sermesant M., Rhode K., Ginks M., Delingette H., Rinaldi C.A., Razavi R., Ayache N. Coupled personalization of cardiac electrophysiology models for prediction of ischaemic ventricular tachycardia. J. R. Soc. Interface Focus 2011, 1(3):396-407.
22. Rhode K., Sermesant M., Brogan D., Hegde S., Hipwell J., Lambiase P., Rosenthal E., Bucknall C., Qureshi S., Gill J., Razavi R., Hill D. A system for real-time XMR guided cardiovascular intervention. IEEE Trans. Med. Imaging 2005, 24(11):1428-1440.
23. Rowan, T., 1990. Functional Stability Analysis of Numerical Algorithms (Ph.D. thesis). University of Texas at Austin.
24. Rushmer R.F., Harding D., Baker D., Watson N. Initial ventricular impulse. a potential key to cardiac evaluation. Circulation 1964, 29(2):268-283.
25. Sermesant, M., Billet, F., Chabiniok, R., Mansi, T., Chinchapatnam, P., Moireau, P., Peyrat, J., Rhode, K., Ginks, M., Lambiase, P., Arridge, S., Delingette, H., Sorine, M., Rinaldi, C., Chapelle, D., Razavi, R., Ayache, N., 2009. Personalised electromechanical model of the heart for the prediction of the acute effects of cardiac resynchronisation therapy. In: International Conference on Functional Imaging and Modeling of the Heart. Lecture Notes in Computer Science, vol. 5528. Springer, Berlin, pp. 239-248.
26. Sermesant M., Chabiniok R., Chinchapatnam P., Mansi T., Billet F., Moireau P., Peyrat J.-M., Wong K.C.L., Relan J., Rhode K.S., Ginks M., Lambiase P., Delingette H., Sorine M., Rinaldi C., Chapelle D., Razavi R., Ayache N. Patient-specific electromechanical models of the heart for the prediction of pacing acute effects in CRT. a preliminary clinical validation. Med. Image Anal. 2012, 16(1):201-215.
27. Sermesant M., Delingette H., Ayache N. An electromechanical model of the heart for image analysis and simulation. IEEE Trans. Med. Imaging 2006, 25(5):612-625.
28. Sermesant M., Moireau P., Camara O., Sainte-Marie J., Andriantsimiavona R., Cimrman R., Hill D.L.G., Chapelle D., Razavi R. Cardiac function estimation from MRI using a heart model and data assimilation. advances and difficulties. Med. Image Anal. 2006, 10:642-656.
29. Sundar, H., Davatzikos, C., Biros, G., 2009. Biomechanically-constrained 4D estimation of myocardial motion. In: International Conference on Medical Image Computing and Computer Assisted Intervention. Lecture Notes in Computer Science, vol. 5762. Springer, Berlin, pp. 257-265.
30. Usyk T.P., LeGrice I.J., McCulloch A.D. Computational model of three-dimensional cardiac electromechanics. Comput. Vis. Sci. 2002, 4(4):249-257.
31. 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. 2009, 13(5):773-784.
32. Wong, K.C.L., Billet, F., Mansi, T., Chabiniok, R., Sermesant, M., Delingette, H., Ayache, N., 2010a. Cardiac motion estimation using a proactive deformable model: evaluation and sensitivity analysis. In: Statistical Atlases and Computational Models of the Heart. Lecture Notes in Computer Science, vol. 6364. Springer, Berlin, pp. 154-163.
33. Wong, K.C.L., Relan, J., Wang, L., Sermesant, M., Delingette, H., Ayache, N., Shi, P., 2012. Strain-based regional nonlinear cardiac material properties estimation from medical images. In: International Conference on Medical Image Computing and Computer Assisted Intervention. Lecture Notes in Computer Science, vol. 7510. Springer, Berlin, pp. 617-624.
34. Wong K.C.L., Wang L., Zhang H., Liu H., Shi P. Meshfree implementation of individualized active cardiac dynamics. Comput. Med. Imaging Graph. 2010, 34(1):91-103.
35. Xi J., Lamata P., Lee J., Moireau P., Chapelle D., Smith N. Myocardial transversely isotropic material parameter estimation from in-silico measurements based on reduced-order unscented Kalman filter. J. Mech. Behavior Biomed. Mater. 2011, 4(7):1090-1102.