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Biomechanics and Modeling in Mechanobiology

, Volume 3, Issue 1, pp 1–5 | Cite as

On the significance of fiber branching in the human myocardium

  • P. F. NiedererEmail author
  • P. P. Lunkenheimer
  • C. W. Cryer
Original Paper

Abstract

Myocardial tissue exhibits a high degree of organization in that the cardiac muscle fibers are both systematically aligned and highly branched. In this study, the influence and significance of fiber branching is analyzed mathematically. In order to allow for analytic solutions, a regular geometry and simplified constitutive relations are considered. It is found that branching is necessary to stabilize the ventricular wall.

Keywords

Fiber Orientation Fiber Direction Parallel Fiber Cardiac Muscle Fiber Fiber Architecture 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. Bovendeerd PHM, Huyghe JM, Arts T, van Campen DH, Reneman RS (1994) Influence of endocardial–epicardial crossover of muscle fibres on left ventricular wall mechanics. J Biomech 27:941CrossRefGoogle Scholar
  2. Chadwick R (1982) Mechanics of the left ventricle. Biophys J 39:279–287CrossRefGoogle Scholar
  3. Huyghe J, van Campen D, Arts T, Heethaar R (1991) A two-phase finite element model of the diastolic left ventricle. J Biomech 24:527CrossRefGoogle Scholar
  4. LeGrice IJ, Hunter PJ, Young A, Smaill BH (2001) The architecture of the heart: a data-based model. Phil Trans Ser A–Math Phys Eng Sci 359:1217–1232CrossRefGoogle Scholar
  5. LeGrice IJ, Smaill BH, Chai LZ, Edgar SG, Gavin JB, Hunter PJ (1995) Laminar structure of the heart: ventricular myocyte arrangement and connective tissue architecture in the dog. Am J Physiol 269:H571–H582Google Scholar
  6. Moulton MJ, Creswell LL, Downing SW, Actis RL, Szabo BA, Vannier MW, Pasque MK (1996) Spline surface interpolation for calculating 3-D ventricular strains from MRI tissue tagging. Am J Physiol—Heart Circ Physiol 39:H281-H297CrossRefGoogle Scholar
  7. Nash MP, Hunter PJ (2000) Computational mechanics of the heart—from tissue structure to ventricular function. J Elasticity 61:113–141MathSciNetCrossRefGoogle Scholar
  8. Peskin CS (1975) Mathematical aspects of heart physiology. Courant Institute of Mathematical Science, New YorkGoogle Scholar
  9. Streeter DD (1983) Gross morphology and fiber geometry of the heart wall. In: Berne RM (ed) Handbook of physiology, section 2: the cardiovascular system, vol 1. Waverly Press, Baltimore, pp 61–109Google Scholar

Copyright information

© Springer-Verlag 2004

Authors and Affiliations

  • P. F. Niederer
    • 1
    Email author
  • P. P. Lunkenheimer
    • 2
  • C. W. Cryer
    • 3
  1. 1.Institute of Biomedical EngineeringUniversity of Zurich and Swiss Federal Institute of Technology (ETH Zurich)ZurichSwitzerland
  2. 2.Experimental Thorax, Heart and Vessel SurgeryUniversity Hospital MünsterMünsterGermany
  3. 3.Institute of Numerical MathematicsUniversity of MünsterMünsterGermany

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