Engineering Transactions, 0, 0, pp. , 0

A Mechanical Model of Heart Valves with Chordae for in Silico Real-Time Computations and Cardiac Surgery Planning

Gediminas GAIDULIS
Vilnius Gediminas Technical University

Vilnius Gediminas Technical University

Natalya Kizilova
Warsaw University of Technology

Kharkov National Polytechnic University “KPI”

In this paper, a two-dimensional (2D) model of the dynamics of mitral valve with chordae is developed based on in vivo data of the periodical motion of the valve leaflets digitized from the ultrasound imaging. The chordae are considered as viscoelastic springs described by the five-element rheological model. The model allows fast numerical computations of forces in the chordae and leaflets at different locations of the chordae of a different order. It can be used in real-time computations of the patient-specific geometry for optimal surgery planning when the mitral valve insufficiency is associated with broken chordae, and neochordae implantation is needed.
Keywords: mitral valve biomechanics; neochordae; viscoelastic tissue; in silico surgery planning
Full Text: PDF


Gefen A. (Ed.), Patient-Specific Modeling in Tomorrow's Medicine, Springer 2012.

Kerckhoffs R.C.P. (Ed.), Patient-Specific Modeling of the Cardiovascular System. Technology-driven personalized medicine, Springer, 2010.

Taylor C.A., Figueroa C.A., Patient-specific modeling of cardiovascular mechanics, Annual Reviews on Biomedical Engineering, 11: 109–134, 2009.

Zhang W., Ayoub S., Liao J., Sacks M.S., A meso-scale layer-specific structural constitutive model of the mitral heart valve leaflets, Acta Biomaterialia, 32: 238–255, 2016.

Feigenbaum H., Armstrong W.F., Ryan Th., Feigenbaum’s Echocardiography, 6th ed., Philadelphia, Lippincott Williams & Wilkins, 2004.

Khalighi A.H., Drach A., ter Huurne F.M., et al., A comprehensive framework for the characterization of the complete mitral valve geometry for the development of a population-averaged model, Lecture Notes in Computer Sciences, 9126: 164–171, 2015.

Degandt A.A., Weber P.A., Saber H.A., Duran C.M.G, Mitral valve basal chordae: comparative anatomy and terminology, Annals of Thoracic Surgery, 84: 1250–1255, 2007.

Song J.-M., Kim J.-J., Ha T.-Y., et al., Basal chordae sites on the mitral valve determine the severity of secondary mitral regurgitation, Heart, 101: 1024–1031, 2015.

Votta E., Caiani E., Veronesi F., et al., Mitral valve finite-element modelling from ultrasound data: a pilot study for a new approach to understand mitral function and clinical scenarios, Philosophical Transactions of the Royal Society, Ser. A, 366: 3411–3434, 2008.

Votta E., Le T.B., Stevanella M., et al., Toward patient-specific simulations of cardiac valves: State-of-the-art and future directions, Journal of Biomechanics, 46: 217–228, 2013.

Hammer P.E., Sacks M.S., del Nido P.J., Howe R.D., Mass-spring vs. finite element models of anisotropic heart valves: speed and accuracy, Proceedings of the ASME Summer Bioengineering Conference, Naples, Florida, USA, 2010.

Krishnamurthy G., Ennis D.B., Itoh A., et al., Material properties of the ovine mitral valve anterior leaflet in vivo from inverse finite element analysis, American Journal of Physiology, 295: H1141–H1149, 2008.

Gaidulis G., Kačianauskas R., Kizilova N., Romashov Y., A mechanical model of heart valves with chords for in silico real time computations and cardio surgery planning, 40th Solid Mechanics Conference, Warsaw, p.157, 2016.

Romashov Y., Kizilova N., Gaidulis G., Mathematical modeling of mitral valve dynamics: nonlinear vs linear models, Proceedings of the 5th International Conference on Nonlinear Dynamics, Kharkov, Ukraine, pp. 208–215, 2016.

Rodriguez F., Langer F., Harrington K.B., et al., Importance of mitral valve second-order chordae for left ventricular geometry, wall thickening mechanics, and global systolic function, Circulation, 110: 115–122, 2004.

Bajona P., Zehr K.J., Liao J., Speziali G., Tension measurement of artificial chordae tendinae implanted between the anterior mitral valve leaflet and the left ventricular apex; an in vitro study, Innovations, 3: 33–37, 2008.

Kochová P., Klepáček J., Hlubockŷ J., et al., Heart valve viscoelastic properties — a pilot study, Applied and Computational Mechanics, 1: 97–104, 2007.

Otto C.M., Bonow R.O. (eds.), Valvular heart disease: A companion to Braunwald's heart disease, Saunders/Elsevier, Philadelphia, 2009.

Liao J., Vesely I., A structural basis for the size-related mechanical properties of mitral valve chordae tendineae, Journal of Biomechanics, 36: 1125–1133, 2003.

Barber J.E., Ratliff N.B., Cosgrove D.M. 3rd, Griffin B.P., Vesely I., Myxomatous mitral valve chordae. I: Mechanical properties, The Journal of Heart Valve Diseases, 10: 320–324, 2001.

Leet K.M., Uang C-M., Gilbert A.M., Fundamentals of structural analysis (2nd ed.), McGraw-Hill, Boston, 2005.

Weggel D.C., Boyajian D.M., Chen Sh.-En, Modelling structures as systems of springs, World Transactions on Engineering and Technology Education, 6: 169–172, 2007.

Olsson K.-G., Dahlblom O., Structural mechanics: modelling and analysis of frames and trusses, Wiley, 2016.

DOI: 10.24423/EngTrans.723.20180924

Copyright © 2014 by Institute of Fundamental Technological Research
Polish Academy of Sciences, Warsaw, Poland