Article

Computational modeling and simulation of heart ventricular mechanics with tagged MRI

Authors:

Dimitris Metaxas,

Leon AxelAuthors Info & Claims

SPM '05: Proceedings of the 2005 ACM symposium on Solid and physical modeling

Pages 79 - 88

https://doi.org/10.1145/1060244.1060254

Published: 13 June 2005 Publication History

Abstract

Heart ventricular mechanics has been investigated intensively in the last four decades. The passive material properties, the ventricular geometry and muscular architecture, and the myocardial activation are among the most important determinants of cardiac mechanics. The heart muscle is anisotropic, inhomogeneous, and highly nonlinear. The heart ventricular geometry is irregular and object dependent. The muscular architecture includes the organization of the fiber and the connective tissues. Studies of the myocardial activation have been carried out at both cell and tissue levels.Previous work from our research group has successfully estimated the in-vivo motion and deformation of both the left and the right ventricles. In this paper, we present an iterative model to estimate the in-vivo myocardium material properties, the active forces generated along fiber orientation, and strain and stress distribution in both ventricles. Compared to the strain energy function approach, our model is more intuitively understandable. Using the model, we have simulated the mechanical events of a few different heart diseases. Noticeable strain and stress differences are found between normal and diseased hearts.

References

[1]

American Heart Association. 2004 Heart and Stroke Statistical Update. Dallas, TX: Am. Heart Assoc.

[2]

Axel L., Dougherty L. 1989. Heart wall motion: Improved method of spatial modulation of magnetization for MR imaging. Radiology, 272:349--50.

[3]

Berne R. M., Levy M. N. 1996. Principles of Physiology. Mosby-Year Book.

[4]

Bovendeerd P. H. M., Arts T., Huyghe J. M., van Campen D. H., Reneman R. S. 1992. Dependence of local left ventricular wall mechanics on myocardial fiber orientation: A model study. J. Biomech. 25(10), 1129--1140.

[5]

Costa K. 1996. The Structural Basis of Three-Dimensional Ventricular Mechanics, Ph.D. Dissertation, University of California, San Diego, CA.

[6]

Fung Y. C. 1997. Biomechanics: Circulation, 2nd Edition. Springer-Verlag, New York.

[7]

Glass L., Hunter P., McCulloch A. 1991. Theory of Heart: Biomechanics, Biophysics, and Nonlinear Dynamics of Cardiac Function. Springer-Verlag.

[8]

Gould P., Ghista D., Brombolich L., Mirsky I. 1972. In vivo stresses in the human left ventricle: Analysis accounting for the irregular 3-dimensional geometry and comparison with idealized geometry analyses. J. Biomech. 5, 521--539.

[9]

Guccione J. M., Costa K. D., McCulloch A. D. 1995. Finite element stress analysis of left ventricular mechanics in the beating dog heart. J. Biomech. 28(10), 1167--1177.

[10]

Haber I., Metaxas D. N., Axel L. 2000. Three-dimensional motion reconstruction and analysis of the right ventricle using tagged MRI. Medical Image Analysis, 4:335--355.

[11]

Halperin H. R., Chew P. H., Weisfeldt M. L., Sagawa K., Humphrey J. D., Yin F. C. P. 1987. Transverse stiffness: A method for estimation of myocardial wall stress. Circ. Res., 61:695--703.

[12]

Hort W. 1957. Mikrometrische Untersuchungen an verschieden weiten Meerschweinchenherzen, Verhandl. Deut. Ges. Kreislaufforsch, 23:343--346.

[13]

Humphrey J. D., Yin F. C. P. 1989. Biomechanical experiments on excised myocardium: Theoretical considerations. Journal of Biomechanics, 22:377--383.

[14]

Hunter P. J. 1975. Finite element analysis of cardiac muscle mechanics. Ph.D. thesis, University of Oxford.

[15]

Janz R. F., Grimm A. F. 1972. Finite element model for the mechanical behavior of the left ventricle. Circ. Res. 30, 244--252.

[16]

LeGrice I. J., Smaill B. H., Chai L. Z., Edgar S. G., Gavin J. B., Hunter P. J. 1995. Laminar structure of the heart: ventricular myocyte arrangement and connective tissue architecture in the dog. Am. J. Physiol. 269:H571--582.

[17]

McCulloch A. D. 1995. Cardiac mechanics. In: J. D. Bronzino (ed.), The Biomechanical Engineering Handbook. CRC Press, Boca Raton, FL. Chapter 31, pp. 418--439.

[18]

McLachlan G. J., Krishnan T. 1997. The EM algorithms and extensions. John Wiley & Sons, Inc.

[19]

Mirsky I. 1970. Effects of anisotropy and nonhomogeneity on left ventricular stresses in the intact heart. Bull. Math. Biophys. 32(2), 197--213.

[20]

Mirsky I. 1973. Ventricular and arterial wall stresses based on large deformations analysis. Biophys. J. 13(11), 1141--1159.

[21]

O'Dell W. G., McCulloch A. D. 2000. Imaging three-dimensional cardiac function. Annu. Rev. Biomed. Eng. 2:431--456.

[22]

Park J., Metaxas D. N., Axel L. 1996. Analysis of left ventricular wall motion based on volumetric deformable models and MRI-SPAMM. Medical Image Analysis, 1:53--71.

[23]

Press W. H., Teukolsky S. A., Vetterling W. T., Flannery B. P. 2002. Numerical recipes in C++, the Art of Scientific Computing. 2nd Edition. Cambridge University Press.

Digital Library

[24]

Sandler H., Dodge H. T. 1963. Left ventricular tension and stress in man. Circ. Res. 13(2), 91--104.

[25]

Streeter D. D., Hanna W. T. 1972. Engineering mechanics for successive states in canine left ventricular myocardium: I. Cavity and wall geometry. Circulation Research, 33:639--655.

[26]

Usyk T. P., Mazhari R., McCulloch A. D. 2000. Effect of laminar orthotropic myofiber architecture on regional stress and strain in the canine left ventricle. Journal of Elasticity, 61: 143--164.

[27]

WHO World Health Report, 2003; WHO website: www.who.int/ncd/cvd.

[28]

Wang A. Y. K., Rautaharju P. M. 1968. Stress distribution within the left ventricular wall approximated as a thick ellipsoidal shell. Am. Heart J. 75(5), 649--662.

[29]

Woods R. H. 1892. A few applications of a physical theorem to membranes in the human body in a state of tension. J. Anat. Physiol. (26) 362--370.

[30]

Yin F. C. P. 1981. Ventricular wall stress. Circ. Res. 49 (4), 829--842.

[31]

Young A. A., Axel L. 1992. Three-dimensional motion and deformation of the heart wall: estimation with spatial modulation of magnetization - a model based approach. Radiology, 185:241--247.

Cited By

Sharma RNarayan Singh S(2020)Framework for detection of cardiac disease by interpreting ECG Signal2020 3rd International Conference on Intelligent Sustainable Systems (ICISS)10.1109/ICISS49785.2020.9315903(596-599)Online publication date: 3-Dec-2020
https://doi.org/10.1109/ICISS49785.2020.9315903
Burlina PSprouse CDeMenthon DJorstad AJuang RContijoch FAbraham TYuh DMcVeigh E(2010)Patient-specific modeling and analysis of the mitral valve using 3D-TEEProceedings of the First international conference on Information processing in computer-assisted interventions10.5555/1876302.1876319(135-146)Online publication date: 23-Jun-2010
https://dl.acm.org/doi/10.5555/1876302.1876319
Burlina PSprouse CDeMenthon DJorstad AJuang RContijoch FAbraham TYuh DMcVeigh E(2010)Patient-Specific Modeling and Analysis of the Mitral Valve Using 3D-TEEInformation Processing in Computer-Assisted Interventions10.1007/978-3-642-13711-2_13(135-146)Online publication date: 2010
https://doi.org/10.1007/978-3-642-13711-2_13
Show More Cited By

Index Terms

Computational modeling and simulation of heart ventricular mechanics with tagged MRI
1. Applied computing
  1. Life and medical sciences
    1. Health care information systems
2. Computing methodologies
  1. Modeling and simulation
    1. Model development and analysis
      1. Modeling methodologies

Recommendations

Computational modeling and simulation of heart ventricular mechanics from tagged MRI
FIMH'05: Proceedings of the Third international conference on Functional Imaging and Modeling of the Heart

Heart ventricular mechanics has been investigated intensively in the last four decades. The passive material properties, the ventricular geometry and muscular architecture, and the myocardial activation are among the most important determinants of ...
Computational modeling and simulation of heart ventricular mechanics from tagged mri
Passive Ventricular Mechanics Modelling Using MRI of Structure and Function
MICCAI '08: Proceedings of the 11th International Conference on Medical Image Computing and Computer-Assisted Intervention, Part II

Patients suffering from dilated cardiomyopathy or myocardial infarction can develop left ventricular (LV) diastolic impairment. The LV remodels its structure and function to adapt to pathophysiological changes in geometry and loading conditions and ...

Comments

Information & Contributors

Information

Published In

cover image ACM Conferences

SPM '05: Proceedings of the 2005 ACM symposium on Solid and physical modeling

June 2005

287 pages

ISBN:1595930159

DOI:10.1145/1060244

Program Chairs:
Leif Kobbelt
RWTH Aachen University, Germany
,
Vadim Shapiro
University of Wisconsin--Madison, USA

Copyright © 2005 ACM.

Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

Sponsors

SIGGRAPH: ACM Special Interest Group on Computer Graphics and Interactive Techniques

Publisher

Association for Computing Machinery

New York, NY, United States

Publication History

Published: 13 June 2005

Permissions

Request permissions for this article.

Request Permissions

Check for updates

Author Tags

Qualifiers

Article

Conference

SPM05

Sponsor:

SIGGRAPH

SPM05: 2005 ACM Symposium on Solid and Physical Modeling

June 13 - 15, 2005

Massachusetts, Cambridge

Contributors

Other Metrics

View Article Metrics

Bibliometrics & Citations

Bibliometrics

Article Metrics

4
Total Citations
View Citations
826
Total Downloads

Downloads (Last 12 months)6
Downloads (Last 6 weeks)1

Reflects downloads up to 05 Mar 2025

Other Metrics

View Author Metrics

Citations

Cited By

Sharma RNarayan Singh S(2020)Framework for detection of cardiac disease by interpreting ECG Signal2020 3rd International Conference on Intelligent Sustainable Systems (ICISS)10.1109/ICISS49785.2020.9315903(596-599)Online publication date: 3-Dec-2020
https://doi.org/10.1109/ICISS49785.2020.9315903
Burlina PSprouse CDeMenthon DJorstad AJuang RContijoch FAbraham TYuh DMcVeigh E(2010)Patient-specific modeling and analysis of the mitral valve using 3D-TEEProceedings of the First international conference on Information processing in computer-assisted interventions10.5555/1876302.1876319(135-146)Online publication date: 23-Jun-2010
https://dl.acm.org/doi/10.5555/1876302.1876319
Burlina PSprouse CDeMenthon DJorstad AJuang RContijoch FAbraham TYuh DMcVeigh E(2010)Patient-Specific Modeling and Analysis of the Mitral Valve Using 3D-TEEInformation Processing in Computer-Assisted Interventions10.1007/978-3-642-13711-2_13(135-146)Online publication date: 2010
https://doi.org/10.1007/978-3-642-13711-2_13
Sprouse CYuh DAbraham TBurlina P(2009)Computational hemodynamic modeling based on transesophageal echocardiographic imaging2009 Annual International Conference of the IEEE Engineering in Medicine and Biology Society10.1109/IEMBS.2009.5332519(3649-3652)Online publication date: Sep-2009
https://doi.org/10.1109/IEMBS.2009.5332519

View Options

Login options

Check if you have access through your login credentials or your institution to get full access on this article.

Full Access

Get this Publication

View options

PDF

View or Download as a PDF file.

eReader

View online with eReader.

Figures

Tables

Media

View Table of Conten