Skip to main content

In Vivo Left Ventricular Geometry and Boundary Conditions

  • Chapter
  • First Online:
Computational Cardiovascular Mechanics

Abstract

The first basic biomechanics modeling step outlined in the introductory chapter is to define the geometric configuration. In Chapters 12 and 14 we demonstrate the application of either simple (i.e., axisymmetric truncated ellipsoid) or complex (i.e., fully 3-D) left ventricular (LV) geometric models or finite element (FE) meshes. This chapter is primarily concerned with an instructive review of the methodology we have used to create both types of FE meshes, which relies on the “parametric” meshing software TrueGrid®. Since TrueGrid is rather expensive, Section 1.6 describes the use of free software executables available from the Pacific Northwest National Laboratory. The second basic biomechanics modeling step (determine mechanical properties) is addressed in the next three chapters. The third and fourth basic biomechanics modeling steps (governing equations and boundary conditions) are discussed briefly at the end of this chapter.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Knupp PM. Achieving finite element mesh quality via optimization of the Jacobian matrix norm and associated quantities. Part II – A framework for volume mesh optimization. Int J Numer Methods Eng. 2000;48:1165–85.

    Article  MATH  Google Scholar 

  2. Dyedov V, Einstein DR, Jiao X, Kuprat AP, Carson JP, del Pin F. Variational generation of prismatic boundary-layer meshes for biomedical computing. Int J Numer Methods Eng. 2009, to appear

    Google Scholar 

  3. Taylor RL. A mixed-enhanced formulation for tetrahedral finite elements. Int J Numer Methods Eng. 2000;47:205–27.

    Article  MATH  Google Scholar 

  4. Cisloiub R, Lovell M, Wang J. A stabilized mixed formulation for finite strain deformation for low-order tetrahedral solid elements. Finite Elem Anal Des. 2008;44:472–82.

    Article  Google Scholar 

  5. Streeter DD Jr, Hanna WT. Engineering mechanics for successive states in canine left ventricular myocardium. I. Cavity and wall geometry. Circ Res. 1973a;33:639–55.

    Article  Google Scholar 

  6. Streeter DD Jr, Hanna WT. Engineering mechanics for successive states in canine left ventricular myocardium. II. Fiber angle and sarcomere length. Circ Res. 1973b;33:656–64.

    Article  Google Scholar 

  7. Guttman MA, Zerhouni EA, McVeigh ER. Analysis and visualization of cardiac function from MR images. IEEE Comp Graph Appl. 1997;17(1):30–8.

    Article  Google Scholar 

  8. Moustakidis P, Maniar HS, Cupps BP, Absi T, Zheng J, Guccione JM, Sundt TM and Pasque MK. Altered left ventricular geometry changes the border zone temporal distribution of stress in an experimental model of left ventricular aneurysm: a finite element model study. Circulation. 2002;106:I168–75.

    Google Scholar 

  9. Omens JH, May KD, McCulloch AD. Transmural distribution of three-dimensional strain in the isolated arrested canine left ventricle. Am J Physiol. 1991;261:H918–28.

    Google Scholar 

  10. Moonly S. Experimental and computational analysis of left ventricular aneurysm mechanics. In Department of Bioengineering, Vol. Ph.D. Berkeley, San Francisco, CA: University of California, San Francisco with University of California, 2003.

    Google Scholar 

  11. Kuprat AP, Einstein DR. An anisotropic scale-invariant un-structured mesh generator suitable for volumetric imaging data. J Comput Phys. 2009;228:619–40.

    Article  MathSciNet  MATH  Google Scholar 

  12. Zhang Y, Bajaj C, Sohn B-S. 3D finite element meshing from imaging data. Comput Methods Appl Mech Eng. 2005;194:5083–106.

    Article  MATH  Google Scholar 

Download references

Acknowledgments

This research was supported by National Institutes of Health grants 5R01 HL077921 (Dr. Guccione) and 5R01 HL063348 (Dr. Ratcliffe), and by CardioPolymers, Inc. (Drs. Guccione and Wenk).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Julius M. Guccione .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2010 Springer Science+Business Media, LLC

About this chapter

Cite this chapter

Wenk, J.F. et al. (2010). In Vivo Left Ventricular Geometry and Boundary Conditions. In: Guccione, J., Kassab, G., Ratcliffe, M. (eds) Computational Cardiovascular Mechanics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4419-0730-1_1

Download citation

  • DOI: https://doi.org/10.1007/978-1-4419-0730-1_1

  • Published:

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4419-0729-5

  • Online ISBN: 978-1-4419-0730-1

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics