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The Zero-stress State of the Gastrointestinal Tract. The Concept of Residual Stress and Strain

  • Hans Gregersen

Abstract

The function of the gastrointestinal tract is to propel food by peristaltic motion, which is a result of the interaction of the tissue forces in the wall and the hydrodynamic forces in the food bolus. To understand the tissue forces in the gastrointestinal tract, it is necessary to know the stress-strain relationships of the tissues. The stress-strain relationships must be measured with reference to the zero-stress state (the condition where neither external nor internal forces deform the tissue). The basic equations for computing stress and strain are given in Chapter 3. The zerostress state of the tissue constitutes the standard state for describing tissue morphology because the tissue is not deformed by internal and external forces. The residual stress and strain cannot be assessed if the zero-stress state is not known, hence the determination of the zero-stress state of gastrointestinal tissue is the first step in the determination of the mechanical properties.

Keywords

Residual Stress Strain Distribution Residual Strain Open Angle Unloaded State 
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.

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Literature

  1. Assentoft JE, Gregersen H, O’Brien WD. 2000. Determination of biomechanical properties in the guinea pig esophagus by means of high-frequency ultrasound and impedance planimetry. Dig Dis Sci, 45: 1260–66.PubMedCrossRefGoogle Scholar
  2. Assentoft JE, Gregersen H, O’Brien WD. 2001. Propagation speed of sound assessment in the layers of the guinea-pig esophagus in vitro by means of acoustic microscopy. Ultrasonics, 39: 263–8.PubMedCrossRefGoogle Scholar
  3. Chuong CJ, Fung YC. 1986. On residual stresses in arteries. J Biomech Eng, 108: 189–99.PubMedCrossRefGoogle Scholar
  4. Dou Y, Zhao J, Gregersen H. 2002. Morphology and stress-strain distribution along small intestine in the rat. J Biomech Eng, in press.Google Scholar
  5. Fung YC, Liu SQ. 1992. Strain distribution in small blood vessels with zero-stress state taken into consideration. Am J Physiol, 262: H544–52.PubMedGoogle Scholar
  6. Fung YC. 1983. What principle governs the stress distribution in living organs? In: Biomechanics in China, Japan and USA, ed. Fung YC, Fukada E, Junjian W, pp. 1–13. Beijing, China: Science.Google Scholar
  7. Fung YC. 1990. Biomechanics: Motion, Flow, Stress, and Growth. New York: Springer-Verlag.Google Scholar
  8. Fung YC. 1993. Biomechanics: Mechanical Properties of Living Tissue. New York: Springer-Verlag.Google Scholar
  9. Gabella G. 1987. Structure of muscles and nerves in the gastrointestinal tract. In: Physiology of the Gastrointestinal Tract, ed. Johnson LR, Christensen J, Jackson MJ, Jacobson ED, Walsh JH, pp. 335–82. New York: Raven Press.Google Scholar
  10. Gao C, Gregersen H. 2000. Biomechanical and morphological properties in rat large intestine. J Biomech, 33: 1089–97.PubMedCrossRefGoogle Scholar
  11. Gao C, Zhao J, Gregersen H. 2000. Histomorphometry and strain distribution in pig duodenum with reference to the zero-stress state. Dig Dis Sci, 45: 1500–8.PubMedCrossRefGoogle Scholar
  12. Gregersen H, Kassab GS, Fung YC. 2000. The zero-stress state of the gastrointestinal tract: Biomechanical and functional implications. Dig Dis Sci, 45: 2271–81.PubMedCrossRefGoogle Scholar
  13. Gregersen H, Kassab GS, Pallencoea E, Lee C, Chien S, Skalak R, Fung YC. 1997. Morphometry and strain distribution in guinea pig duodenum with reference to the zero-stress state. Am J Physiol, 273: G865–74.PubMedGoogle Scholar
  14. Gregersen H, Kassab GS. 1996. Biomechanics of the gastrointestinal tract. Neurogastroenterol Motil, 8: 277–97.PubMedCrossRefGoogle Scholar
  15. Gregersen H, Lee C, Chien S, Skalak R, Fung YC. 1999. Strain distribution in the layered wall of the esophagus. J Biomed Eng, 121: 442–8.Google Scholar
  16. Gregersen H, Weis S, McCulloch AD. 2001. Esophageal morphometry and residual strain in a mouse model of osteogenesis imperfecta. Neurogastroenterol Motil, 13: 457–64.PubMedCrossRefGoogle Scholar
  17. Gregersen H. 2000. Residual strain in the gastrointestinal tract: a new concept. Neurogastroenterol Motil, 12: 411–14.PubMedCrossRefGoogle Scholar
  18. Grundy, D. 1993. Mechanoreceptors in the gastrointestinal tract. J Smooth Muscle Res, 29: 37–46.PubMedCrossRefGoogle Scholar
  19. Han HC, Fung YC. 1991. Residual strains in porcine and canine trachea. J Biomech, 24: 307–15.PubMedCrossRefGoogle Scholar
  20. Han HC, Fung YC. 1996. Direct measurement of transverse residual strains in aorta. Am J Physiol, 270: H750–9.PubMedGoogle Scholar
  21. Han HC, Fung YC. 1991. Species difference of the zero-stress state of aorta: pig vs. rat. J Biomech Eng, 113: 446–51.PubMedCrossRefGoogle Scholar
  22. Lu X, Gregersen H. 2001. Regional distribution of axial strain and circumferential residual strain in the layered rabbit oesophagus. J Biomech, 34: 225–33.PubMedCrossRefGoogle Scholar
  23. Omens JH. 1988. Left ventricular strain in the no-load state due to the existence of residual stress. PhD thesis, Department of Bioengineering, University of California, San Diego.Google Scholar
  24. Rachev A. 1997. Theoretical study of the effect of stress-dependent remodeling on arterial geometry under hypertensive conditions. J Biomechanics, 30: 819–27.CrossRefGoogle Scholar
  25. Rodriquez EK, Hoger A, McCulloch AD. 1994. Stress-dependent finite growth in soft elastic tissues. J Biomech, 27: 455–67.CrossRefGoogle Scholar
  26. Vaishnav RN, Vossoughi J. 1983. Estimation of residual strains in aortic segments. In: Biomedical Engineering IL Recent Developments., ed. Hall CW, pp. 330–3. New York: Pergamon Press.Google Scholar
  27. Vaishnav RN, Vossoughi J. 1987. Residual stress and strain — in aortic segments. J Biomech, 20: 235–9.PubMedCrossRefGoogle Scholar
  28. Vossoughi J, Weizsacker HE, Vaishnav RM. 1985. Variation of aortic geometry in various animal species. Biomedizinische Technik, 30: 48–54.PubMedCrossRefGoogle Scholar

Copyright information

© Springer-Verlag London 2003

Authors and Affiliations

  • Hans Gregersen
    • 1
  1. 1.Centre for Sensory-Motor Interaction, Laboratory for Gastrointestinal Biomechanics and Sensory-Motor Funtion, Department of Surgical Gastroenterology, Aalborg HospitalAalborg UniversityDenmark

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