Effects of myocardial constraint on the passive mechanical behaviors of the coronary vessel wall

American Journal of Physiology - Heart and Circulatory Physiology

Volumn 294, Issue 1, 2008, Pages

  Liu, Yi ^a   Zhang, Wei ^a   Kassab, Ghassan S ^a,b  

^a Indiana University Purdue University Indianapolis   (United States)

^b INDIANA UNIVERSITY   (United States)

Author keywords

Elasticity; Finite element; Myocardium; Remodeling; Vessel mechanics

Indexed keywords

ARTICLE; CORONARY BLOOD VESSEL; ELASTICITY; HEART FUNCTION; HEART MUSCLE; LEFT ANTERIOR DESCENDING CORONARY ARTERY; MATHEMATICAL MODEL; PRIORITY JOURNAL; WALL STRESS;

ANIMALS; BLOOD PRESSURE; COMPUTER SIMULATION; CORONARY CIRCULATION; CORONARY VESSELS; ELASTICITY; FINITE ELEMENT ANALYSIS; MODELS, CARDIOVASCULAR; MYOCARDIUM; STRESS, MECHANICAL; SWINE;

EID: 38149121326     PISSN: 03636135     EISSN: 15221539     Source Type: Journal    
DOI: 10.1152/ajpheart.00670.2007     Document Type: Article

References (60)

1. Arts T, Reneman RS. Interaction between intramyocardial pressure (IMP) and myocardial circulation. J Biomech Eng 107: 51-56, 1985.
2. Choy JS, Dang Q, Molloi S, Kassab GS. Nonuniformity of axial and circumferential remodeling of large coronary veins in response to ligation. Am J Physiol Heart Circ Physiol 290: H1558-H1565, 2006.
3. Choy JS, Kassab GS. A novel strategy for increasing wall thickness of coronary venules prior to retroperfusion. Am J Physiol Heart Circ Physiol 291: H972-H978, 2006.
4. Choy JS, Mathieu-Costello O, Kassab GS. The effect of fixation and histological preparation on coronary artery dimensions. Ann Biomed Eng 33: 1027-1033, 2005.
5. Chuong CJ, Fung YC. On residual stresses in arteries. J Biomech Eng 108: 188-192, 1986.
6. Davis CA, Rembert JC, Greenfield JC. Compliance of the left atrium with and without left atrium appendage. Am J Physiol Heart Circ Physiol 259: H1006-H1008, 1990.
7. Ding Z, Zhu H, Friedman MH. Coronary artery dynamics in vivo. Ann Biomed Eng 30: 419-429, 2002.
8. Dokos S, Smaill BH, Young AA, LeGrice IJ. Shear properties of passive ventricular myocardium. Am J Physiol Heart Circ Physiol 283: H2650-H2659, 2002.
9. Downey JM, Kirk ES. Inhibition of coronary blood flow by a vascular waterfall mechanism. Circ Res 36: 753-760, 1975.
10. Franklin SS, Gustin WT, Wong ND, Larson MG, Weber MA, Kannel WB, Levy D. Hemodynamic patterns of age-related changes in blood pressure. The Framingham Heart Study. Circulation 96: 308-315, 1997.
11. Fung YC. Biomechanics. Motion, Flow, Stress, and Growth. New York: Springer-Verlag, 1990.
12. Guccione JM, McCulloch AD, Waldman LK. Passive material properties of intact ventricular myocardium determined from a cylindrical model. J Biomech Eng 113: 42-55, 1991.
13. Hamza LH, Dang Q, Lu X, Mian A, Molloi A, Kassab GS. Effect of passive myocardium on the compliance of porcine coronary arteries. Am J Physiol Heart Circ Physiol 285: H653-H660, 2003.
14. Heineman FW, Grayson J. Transmural distribution of intramyocardial pressure measured by micropipette technique. Am J Physiol Heart Circ Physiol 249: H1216-H1223, 1985.
15. Holzapfel GA, Gasser TC, Stadler M. A structural model for the viscoelastic behavior of arterial walls: continuum formulation and finite element analysis. Eur J Mech A Solids 21: 441-463, 2002.
16. Humphrey JD, Na S. Elastodynamics and arterial wall stress. Ann Biomed Eng 40: 509-523, 2002.
17. Humphrey JD, Wilson E. A potential role of smooth muscle tone in early hypertension: a theoretical study. J Biomech 36: 1595-1601, 2003.
18. Hunter KS, Lanning CJ, Chen SYJ, Zhang YH, Garg R, Ivy DD, Shandas R. Simulations of congenital septal defect closure and reactivity testing in patient-specific models of the pediatric pulmonary vasculature: a 3D numerical study with fluid-structure interaction. J Biomech Eng 128: 564-572, 2006.
19. Huo Y, Wischgoll T, Kassab GS. Flow patterns in three-dimensional porcine epicardial coronary arterial tree. Am J Physiol Heart Circ Physiol 293: H2959-H2970, 2007.
20. Junemann M, Smiseth OA, Refsum H, Sievers R, Lipton MJ, Carlsson E, Tyberg JV. Quantification of effect of pericardium on LV diastolic PV relation in dogs. Am J Physiol Heart Circ Physiol 252: H963-H968, 1987.
21. Kassab GS, Gregersen H, Nielsen SL, Lu X, Tanko LB, Falk E. Remodeling of the left anterior descending artery in a porcine model of supravalvular aortic stenosis. J Hypertens 20: 2429-2437, 2002.
22. Kassab GS, Rider CA, Tang NJ, Fung YC. Morphometry of pig coronary arterial trees. Am J Physiol Heart Circ Physiol 265: H350-H365, 1993.
23. Krams R, Sipkema P, Westerhof N. Varying elastance concept may explain coronary systolic flow impediment. Am J Physiol Heart Circ Physiol 257: H1471-H1479, 1989.
24. Kroeker CAG, Shrive NG, Belenkie I, Tyberg JV. Pericardium modulates left and right ventricular stroke volumes to compensate for sudden changes in atrial volume. Am J Physiol Heart Circ Physiol 284: H2247-H2254, 2003.
25. Kroeker CAG, Adeeb S, Tyberg JV, Shrive NG. A 2D FE model of the heart demonstrates the role of the pericardium in ventricular deformation. Am J Physiol Heart Circ Physiol 291: H2229-H2236, 2006.
26. Krouskop TA, Wheeler TM, Kallel F, Garra BS, Hall T. Elastic moduli of breast and prostate tissues under compression. Ultrason Imaging 20: 260-274, 1998.
27. Liu Y, Dang C, Garcia M, Gregersen H, Kassab GS. The surrounding tissues significantly affect the mechanics of the vessel wall: theory and experiment. Am J Physiol Heart Circ Physiol. 293: H3290-H3300, 2007.
28. Lu X, Kassab GS. Vasoactivity of blood vessel using a novel isovolumetric myograph. Ann Biomed Eng 35: 356-366, 2007.
29. Lu X, Yang J, Zhao JB, Gregersen H, Kassab GS. Shear modulus of porcine coronary artery: contributions of media and adventitia. Am J Physiol Heart Circ Physiol 285: H1966-H1975, 2003.
30. Maniar HS, Prasad SM, Gaynor SL, Chu CM, Steendijk P, Moon MR. Impact of pericardial restraint on right atrial mechanics during acute right ventricular pressure load. Am J Physiol Heart Circ Physiol 284: H350-H357, 2003.
31. Matsumoto T, Tsuchida M, Sato M. Change in intramural strain distribution in rat aorta due to smooth muscle contraction and relaxation. Am J Physiol Heart Circ Physiol 271: H1711-H1716, 1996.
32. O'Rourke MF, Staessen JA, Vlachopoulos C, Duprez D, Plante GE. Clinical applications of arterial stiffness: definitions and reference values. Am J Hypertens 15: 426-444, 2002.
33. Press WH, Teukolsky SA, Vetterling WT, Flannery BP. Numerical Recipes in Fortran. The Art of Scientific Computing. Cambridge, UK: Cambridge University Press, 1992, vol. 77.
34. Rabbany SY, Funai JT, Noordergraaf A. Pressure generation in a contracting myocyte. Heart Vessels 9: 169-174, 1994.
35. Rabbany SY, Kresh JY, Noordergraaf A. Intramyocardial pressure: interaction of myocardial fluid pressure and fiber stress. Am J Physiol Heart Circ Physiol 257: H357-H364, 1989.
36. Rachev A. Theoretical study of the effect of stress-dependent remodeling on arterial geometry under hypertensive conditions. J Biomech 30: 819-827, 1997.
37. Rachev A, Greenwald SE. Residual strains in conduit arteries. J Biomech 36: 661-670, 2003.
38. Rachev A, Hayashi K. Theoretical study of the effects of vascular smooth muscle contraction on strain and stress distributions in arteries. Ann Biomed Eng 27: 459-468, 1999.
39. Rachev A, Stergiopulos N, Meister JJ. Theoretical study of dynamics of arterial wall remodeling in response to changes in blood pressure. J Biomech 5: 635-642, 1996.
40. Ramaswamy SD, Vigmostad1 SC, Wahle A, Lai YG, Olszewski ME, Braddy KC, Brennan TMH, Rossen JD, Sonka M, Chandran KB. Fluid dynamic analysis in a human left anterior descending coronary artery with arterial motion. Ann Biomed Eng 132: 1628-1641, 2004.
41. Rivlin RS, Saunders DW. Large elastic deformations of isotropic materials. VII. Experiments on the deformation of rubber. Phil Trans R Soc Lond A 243: 251-288, 1951.
42. Rodriguez EK, Omens JH, Waldman LK, McCulloch AD. Effect of residual stress on transmural sarcomere length distributions in rat left ventricle. Am J Physiol Heart Circ Physiol 264: H1048-H1056, 1993.
43. Sagawa K, Maughan L, Suga H, Sunagawa K. Cardiac Contraction and the Pressure-Volume Relationship. Oxford, UK: Oxford University Press, 1988.
44. Schmid H, Nash MP, Young AA, Hunter PJ. Myocardial material parameter estimation - a comparative study for simple shear. J Biomech Eng 128: 742-750, 2006.
45. Smith NP, Kassab GS. Analysis of coronary blood flow interaction with myocardial mechanics based on anatomical models. Philos Trans R Soc Lond A Math Phys Sci 359: 1251-1263, 2001.
46. Spaan JAE, Breuls NPW, Laird JD. Diastolic-systolic coronary flow differences are caused by intramyocardial pump action in the anesthetised dog. Circ Res 49: 584-593, 1981.
47. Suga H. Importance of atrial compliance in cardiac performance. Circ Res 35: 39-43, 1974.
48. Suga H, Sagawa K, Shoukas A. Load independence of the instantaneous pressure-volume ratio of the canine left ventricle and the effects of epinephrine and heart rate on the ratio. Circ Res 32: 314-322, 1973.
49. Thomas EC, Vaishnav RN, Patel DJ. Compressibility of the arterial wall. Circ Res 23: 61-68, 1968.
50. Vis MA, Sipkema P, Westerhof N. Modeling pressure-area relations of coronary blood vessels embedded in cardiac muscle in diastole and systole. Am J Physiol Heart Circ Physiol 268: H2531-H2543, 1995.
51. Vis MA, Sipkema P, Westerhof N. Compression of intramyocardial arterioles during cardiac contraction is attenuated by accompanying venules. Am J Physiol Heart Circ Physiol 273: H1003-H1011, 1997.
52. Vito RP, Dixon SA. Blood vessel constitutive models - 1995-2002. Annu Rev Biomed Eng 5: 413-439, 2003.
53. Wang C, Garcia M, Lu X, Lanir Y, Kassab GS. Three-dimensional mechanical properties of porcine coronary arteries: a validated two-layer model. Am J Physiol Heart Circ Physiol 291: H1200-H1209, 2006.
54. Westerhof N, Boer C, Lamberts RR, Sipkema P. Cross-talk between cardiac muscle and coronary vasculature. Physiol Rev 86: 1263-1308, 2006.
55. White CW, Kerber RE, Weiss HR, Marcus ML. The effects of atrial fibrillation on atrial pressure-volume and flow relationships. Circ Res 51: 205-215, 1986.
56. Yin HM, Sun LZ, Wang G, Yamada T, Wang J, Vannier WM. ImageParser: a tool for finite element generation from three-dimensional medical images. Biomed Eng OnLine 3: 31, 2004.
57. Zhang W, Herrera C, Atluri SN, Kassab GS. Effect of surrounding tissue on vessel fluid and solid mechanics. J Biomech Eng 126: 760-769, 2004.
58. Zhang W, Herrera C, Atluri SN, Kassab GS. The effect of longitudinal pre-stretch and radial constraint on the stress distribution in the vessel wall: a new hypothesis. Mech Chem Biosystems 2: 41-52, 2005.
59. Zhang W, Liu Y, Kassab GS. Viscoelasticity reduces the dynamic stresses and strains in the vessel wall: implications for vessel fatigue. Am J Physiol Heart Circ Physiol 293: H2355-H2360, 2007.
60. Zhu H, Warner JJ, Gehrig TH, Friedman MH. Comparison of coronary artery dynamics pre- and post-stenting. J Biomech 36: 689-697, 2003.