Medical Engineering & Physics
Volume 29, Issue 1 , Pages 8-16 , January 2007

Passive mechanical properties of porcine left circumflex artery and its mathematical description

  • Mosé Carboni

      Affiliations

    • Institute of Physiology, Center for Physiological Medicine, Medical University of Graz, Harrachgasse 21/5, A-8010 Graz, Austria
    • ,
  • Georg W. Desch

      Affiliations

    • Institute of Mathematics and Scientific Computing, University of Graz, 8010 Graz, Austria
    • ,
  • Hans W. Weizsäcker

      Affiliations

    • Institute of Physiology, Center for Physiological Medicine, Medical University of Graz, Harrachgasse 21/5, A-8010 Graz, Austria
    • Corresponding Author InformationCorresponding author. Tel.: +43 316 380 4268; fax: +43 316 380 9630.

Received 5 April 2005 ,Revised 2 December 2005 ,Accepted 16 January 2006.

References 

  1. Burattini R, Sipkema P, van Huis GA, Westerhof N. Identification of canine coronary resistance and intramyocardial compliance on the basis of the waterfall model. Ann Biomed Eng. 1985;13:385–404
  2. Gerova M, Barta E, Stolarik M, Gero J. Heterogeneity in geometrical alterations of main branches of left coronary artery induced by increase in ventricle volume. Am J Physiol. 1992;262:H1049–H1053
  3. Pao YC, Lu JT, Rittman EL. Bending and twisting of an in vivo coronary artery at a bifurcation. J Biomech. 1992;25:287–295
  4. Sipkema P, Yamada H, Yin FCP. Coronary artery resistance changes depend on how surrounding myocardial tissue is stretched. Am J Physiol. 1996;270:H924–H934
  5. Allaart CP, Sipkema P, Westerhof N. Effect of perfusion pressure on diastolic stress–strain relations of isolated rat papillary muscle. Am J Physiol. 1995;268:H945–H954
  6. Patel DJ, Vaishnav RN. Basic hemodynamics and its role in disease processes. Baltimore: University Park Press; 1980;
  7. Waller BF. Topography of atherosclerotic coronary artery disease. Clin Cardiol. 1990;13:435–442
  8. Pourageaud F, Crabos M, Freslon JL. The elastic modulus of conductance coronary arteries from spontaneously hypertensive rats is increased. J Hypertens. 1997;15:1113–1121
  9. Rachev A. Theoretical study of the effect of stress-dependent remodeling on arterial geometry under hypertensive conditions. J Biomech. 1997;30:819–827
  10. Leuprecht A, Perktold K, Prosi M, Berk T, Trubel W, Schima H. Numerical study of hemodynamics and wall mechanics in distal end-to-side anastomoses of bypass grafts. J Biomech. 2002;35:225–236
  11. Perktold K, Hofer M, Rappitsch G, Loew M, Kuban BD, Friedman MH. Validated computation of physiologic flow in a realistic coronary artery branch. J Biomech. 1998;31:217–228
  12. Thubrikar MJ, Roskelley SK, Eppink RT. Study of stress concentration in the walls of the bovine coronary arterial branch. J Biomech. 1990;23:15–26
  13. Szekeres M, Nádasy GL, Dézsi L, Orosz M, Tökés A, Monos E. Segmental differences in geometric, elastic and contractile characteristics of small intramural coronary arteries of the rat. J Vase Res. 1998;35:332–344
  14. Carboni M, Desch GW, Zierler E, Rachev A, Weizsäcker HW. Elasticity of passive porcine coronary arteries in vitro. In: Proceedings of the ESB 12th Conference Dublin. Ireland. 2000;p. 296
  15. Carmines DV, McElhaney JH, Stack R. A piece-wise non-linear elastic stress expression of human and pig coronary arteries tested in vitro. J Biomech. 1991;24:899–906
  16. Cox RH. Passive mechanics and connective composition of canine arteries. Am J Physiol. 1978;234:H533–H541
  17. Cox RH. Regional variation of series elasticity in canine arterial smooth muscles. Am J Physiol. 1978;234:H542–H551
  18. Dixon SA, Heikes RG, Vito RP. Constitutive modeling of porcine coronary arteries using designed experiments. J Biomech Eng. 2003;125:274–279
  19. Kang T, Resar J, Humphrey JD. Heat-induced changes in the mechanical behavior of passive coronary arteries. J Biomech Eng. 1995;117:86–93
  20. Lally C, Reid AJ, Prendergast PJ. Elastic behavior of porcine coronary artery tissue under uniaxial and equibiaxial tension. Ann Biomed Eng. 2004;32:1355–1364
  21. Lu X, Yang J, Zhao JB, Gregersen H, Kassab GS. Shear modulus of porcine coronary artery: contribution of media and adventitia. Am J Physiol. 2003;285:H1966–H1975
  22. Lu X, Pandit A, Kassab GS. Biaxial incremental homeostatic elastic moduli of coronary artery: two layer model. Am J Physiol. 2004;287:H1663–H1669
  23. Valenta J, Vitek K, Cihak R, Konvickova S, Sochor M, Horny L. Age related constitutive laws and stress distribution in human main coronary arteries with reference to residual strain. Biomed Mater Eng. 2002;12:121–134
  24. Veress AI, Vince DG, Anderson PM, Cornhill JF, Herderick EE, Klingensmith JD, et al. Vascular mechanics of the coronary artery. Z Kardiol. 2000;89(Suppl. 2):II/92-II/100
  25. Wielopolski PA, van Geuns RJM , de Feyter PJ, Oudkerk M. Coronary arteries. Eur Radiol. 2000;10:12–35
  26. Williams MJA, Stewart RAH, Low CJS, Wilkins GT. Assessment of the mechanical properties of coronary arteries using intravascular ultrasound: an in vivo study. Int J Card Imaging. 1999;15:287–294
  27. Weizsäcker HW, Lambert H, Pascale K. Analysis of the passive mechanical properties of rat carotid arteries. J Biomech. 1983;16:703–715
  28. Weizsäcker HW, Pascale K. Length–force relation of rat carotid artery at different transmural pressure. Experiments and models. Basic Res Cardiol. 1977;72:619–627
  29. Carboni M. Valutazione modellistico-sperimentale delle proprietá meccaniche delle arterie coronarie. Tesi di laurea. Facoltá di Ingegneria, Università degli Studi di Ancona; 2000;
  30. Fung YC, Fronek K, Patitucci P. Pseudoelasticity of arteries and the choice of its mathematical expression. Am J Physiol. 1979;237:H620–H631
  31. Weizsäcker HW, Holzapfel GA, Desch GW, Pascale K. Strain energy density function for arteries from different topographical sites. Biomed Tech. 1995;40(Ergänzungsband 2):139–141
  32. Demiray H, Weizsäcker HW, Pascale K. A mechanical model for passive behaviour of rats carotid artery. Biomed Tech. 1986;31:46–52
  33. Humphrey JD. Mechanics of the arterial wall: review and directions. Crit Rev Biomed Eng. 1995;23:1–162
  34. Greenwald SE, Moore JE, Rachev A, Kane TPC, Meister JJ. Experimental investigation of the distribution of residual strains in the artery wall. J Biomech Eng. 1997;119:438–444
  35. Humphrey JD. An evaluation of pseudoelastic descriptors used in arterial mechanics. J Biomech Eng. 1999;121:259–262
  36. van Andel CJ, Pistecky PV, Borst C. Mechanical properties of porcine and human arteries: implications for coronary anastomotic connectors. Ann Thorac Surg. 2003;76:58–64
  37. Frøbert O, Gregersen H, Bjerre J, Bagger JP, Kassab GS. Relation between zero-stress state and branching order of porcine left coronary arterial tree. Am J Physiol. 1998;275:H2283–H2290
  38. Valenta J, Svoboda J, Valerianova D, Vitek K. Residual strain in human atherosclerotic coronary arteries and age related geometrical changes. Biomed Mater Eng. 1999;9:311–317
  39. Vossoughi J, Hedjazi Z, Borris F. Intimal residual stress and strain in large arteries. In:  Langrana NA,  Friedman MH,  Grood ES editor. Proceedings of the AMSE summer bioengineering conference. New York: AMSE; 1993;p. 434–437
  40. Törökova R, Gerova M, Török T. Length as a determinant of the longitudinal stress and diameter of different conduit arteries. Biomed Tech. 1992;57(Ergänzungsband 1):257–259

PII: S1350-4533(06)00017-8

doi: 10.1016/j.medengphy.2006.01.004

Medical Engineering & Physics
Volume 29, Issue 1 , Pages 8-16 , January 2007

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