Biomechanics and Modeling in Mechanobiology

, Volume 12, Issue 5, pp 915–927

Twist buckling behavior of arteries

Original Paper

Abstract

Arteries are often subjected to torsion due to body movement and surgical procedures. While it is essential that arteries remain stable and patent under twisting loads, the stability of arteries under torsion is poorly understood. The goal of this work was to experimentally investigate the buckling behavior of arteries under torsion and to determine the critical buckling torque, the critical buckling twist angle, and the buckling shape. Porcine common carotid arteries were slowly twisted in vitro until buckling occurred while subjected to a constant axial stretch ratio (1.1, 1.3, 1.5 (in vivo level) and 1.7) and lumen pressure (20, 40, 70 and 100 mmHg). Upon buckling, the arteries snapped to form a kink. For a group of six arteries, the axial stretch ratio significantly affected the critical buckling torque (\(p<0.002\)) and the critical buckling twist angle (\(p<0.001\)). Lumen pressure also significantly affected the critical buckling torque (\(p<0.001\)) but had no significant effect on the critical twist angle (\(p=0.067\)). Convex material constants for a Fung strain energy function were determined and fit well with the axial force, lumen pressure, and torque data measured pre-buckling. The material constants are valid for axial stretch ratios, lumen pressures, and rotation angles of 1.3–1.5, 20–100 mmHg, and 0–270\(^\circ \), respectively. The current study elucidates the buckling behavior of arteries under torsion and provides new insight into mechanical instability of blood vessels.

Keywords

Stability Instability Kink Twist  Torsional buckling Blood vessel Porcine Carotid artery 

Supplementary material

10237_2012_453_MOESM1_ESM.wmv (2.9 mb)
Supplementary material 1 (wmv 2982 KB)

References

  1. Barton JW, Margolis MT (1975) Rotational obstruction of vertebral artery at atlantoaxial joint. Neuroradiology 9(3):117–120CrossRefGoogle Scholar
  2. Cheng CP, Wilson NM, Hallett RL, Herfkens RJ, Taylor CA (2006) In vivo MR angiographic quantification of axial and twisting deformations of the superficial femoral artery resulting from maximum hip and knee flexion. J Vasc Interv Radiol 17(6):979–987Google Scholar
  3. Choi G, Cheng CP, Wilson NM, Taylor CA (2009a) Methods for Quantifying Three-Dimensional deformation of arteries due to pulsatile and nonpulsatile forces: implications for the design of stents and stent grafts. Ann Biomed Eng 37(1):14–33Google Scholar
  4. Choi G, Shin LK, Taylor CA, Cheng CP (2009b) In vivo deformation of the human abdominal aorta and common iliac arteries with hip and knee flexion: implications for the design of stent-grafts. J Endovasc Therapy 16(5):531–538Google Scholar
  5. Chuong CJ, Fung YC (1983) 3-dimensional stress-distribution in arteries. J Biomech Eng Trans Asme 105(3):268–274CrossRefGoogle Scholar
  6. Datir P, Lee AY, Lamm SD, Han HC (2011) Effects of geometric variations on the buckling of arteries. Int J Appl Mech 3(2):385–406Google Scholar
  7. Del Corso L, Moruzzo D, Conte B, Agelli M, Romanelli AM, Pastine F, Protti M, Pentimone F, Baggiani G (1998) Tortuosity, kinking, and coiling of the carotid artery: expression of atherosclerosis or aging? Angiology 49(5):361–371Google Scholar
  8. Ding Z, Zhu H, Friedman MH (2002) Coronary artery dynamics in vivo. Ann Biomed Eng 30(4):419–429Google Scholar
  9. Dobrin PB, Hodgett D, Canfield T, Mrkvicka R (2001) Mechanical determinants of graft kinking. Ann Vasc Surg 15(3):343–349Google Scholar
  10. Endean ED, Dejong S, Dobrin PB (1989) Effect of twist on flow and patency of vein grafts. J Vasc Surg 9(5):651–655Google Scholar
  11. Flugge W (1973) Stress in shells. Springer, New YorkCrossRefGoogle Scholar
  12. Franceschini P, Guala A, Licata D, Di Cara G, Franceschini D (2000) Arterial tortuosity syndrome. Am J Med Genet 91(2):141–143Google Scholar
  13. Fung YC (1993) Biomechanics: mechanical properties of living tissues. Springer, New YorkCrossRefGoogle Scholar
  14. Fung YC (1997) Biomechanics: circulation, chapter 4. Springer, New YorkCrossRefGoogle Scholar
  15. Gere JM (2004) Mechanics of materials. Thomson Learning Brooks/Cole, Belmont, CAGoogle Scholar
  16. Grego F, Lepidi S, Cognolato D, Deriu GP (2003) Rationale of the surgical treatment of carotid kinking. J Cardiovasc Surg 44(1): 79–85Google Scholar
  17. Han HC (2007) A biomechanical model of artery buckling. J Biomech 40(16):3672–3678CrossRefGoogle Scholar
  18. Han HC (2009) Blood vessel buckling within soft surrounding tissue generates tortuosity. J Biomech 42(16):2797–2801CrossRefGoogle Scholar
  19. Han HC (2012) Twisted blood vessels: symptoms, etiology and biomechanical mechanisms. J Vasc Res 49(3):185–197CrossRefGoogle Scholar
  20. Holzapfel GA, Gasser TC, Ogden RW (2000) A new constitutive framework for arterial wall mechanics and a comparative study of material models. J Elast 61(1–3):1–48Google Scholar
  21. Humphrey JD (2002) Cardiovascular solid mechanics: cells, tissues, and organs. Springer, New YorkCrossRefGoogle Scholar
  22. Hunt GW, Ario L (2005) Twist buckling and the foldable cylinder: an exercise in origami. Int J Non-Linear Mech 40(6):833–843CrossRefMATHGoogle Scholar
  23. Hyakusoku H, Yamamoto T, Fumiiri M (1991) The propeller flap method. Br J Plast Surg 44(1):53–54Google Scholar
  24. Izquierdo R, Dobrin PB, Fu KD, Park F, Galante G (1998) The effect of twist on microvascular anastomotic patency and angiographic luminal dimensions. J Surg Res 78(1):60–63Google Scholar
  25. Jackson ZS, Dajnowiec D, Gotlieb AI, Langille BL (2005) Partial off-loading of longitudinal tension induces arterial tortuosity. Arter Thromb Vasc Biol 25(5):957–962Google Scholar
  26. Jakubietz RG, Jakubietz MG, Gruenert JG, Kloss DF (2007) The 180-degree perforator-based, propeller flap for soft tissue coverage of the distal, lower extremity: a new method to achieve reliable coverage of the distal lower extremity with a local, fasciocutaneous perforator flap. Ann Plast Surg 59(6):667–671Google Scholar
  27. Klein AJ, Chen SJ, Messenger JC, Hansgen AR, Plomondon ME, Carroll JD, Casserly IP (2009) Quantitative assessment of the conformational change in the femoropopliteal artery with leg movement. Catheter Cardiovasc Interv 74(5):787–798Google Scholar
  28. Laird JR (2006) Limitations of percutaneous transluminal angioplasty and stenting for the treatment of disease of the superficial femoral and popliteal arteries. J Endovasc Therapy 13:30–40Google Scholar
  29. Lee AY, Han BY, Lamm SD, Fierro CA, Han HC (2012) Effects of elastin degradation and surrounding matrix support on artery stability. Am J Physiol Heart Circ Physiol 302(4):H873–H884Google Scholar
  30. Lee YU, Drury-Stewart D, Vito RP, Han HC (2008) Morphologic adaptation of arterial endothelial cells to longitudinal stretch in organ culture. J Biomech 41(15):3274–3277Google Scholar
  31. Liu Q, Han HC (2012) Mechanical buckling of artery under pulsatile pressure. J Biomech 45(7):1192–1198MathSciNetCrossRefGoogle Scholar
  32. Lu X, Yang J, Zhao JB, Gregersen H, Kassab GS (2003) Shear modulus of porcine coronary artery: contributions of media and adventitia. Am J Physiol Heart Circ Physiol 285(5):H1966–H1975Google Scholar
  33. Macchiarelli G, Familiari G, Caggiati A, Magliocca FM, Riccardelli F, Miani A, Motta PM (1991) Arterial repair after microvascular anastomosis. Scanning and transmission electron microscopy study. Acta Anat (Basel) 140(1):8–16Google Scholar
  34. Martinez R, Fierro CA, Shireman PK, Han HC (2010) Mechanical buckling of veins under internal pressure. Ann Biomed Eng 38(4):1345–1353Google Scholar
  35. Milic DJ, Jovanovic MM, Zivic SS, Jankovic RJ (2007) Coiling of the left common carotid artery as a cause of transient ischemic attacks. J Vasc Surg 45(2):411–413Google Scholar
  36. Norris JW, Beletsky V, Nadareishvili ZC, Consortium CS (2000) Sudden neck movement and cervical artery dissection. Can Med Assoc J 163(1):38–40Google Scholar
  37. Pancera P, Ribul M, Presciuttini B, Lechi A (2000) Prevalence of carotid artery kinking in 590 consecutive subjects evaluated by Echocolordoppler. Is there a correlation with arterial hypertension? J Intern Med 248(1):7–12Google Scholar
  38. Pandit A, Lu X, Wang C, Kassab GS (2005) Biaxial elastic material properties of porcine coronary media and adventitia. Am J Physiol Heart Circ Physiol 288(6):H2581–2587Google Scholar
  39. Ramaiah VG, Thompson CS, Shafique S, Rodriguez JA, Ravi R, DiMugno L, Diethrich EB (2002) Crossing the limbs: a useful adjunct for successful deployment of the AneuRx stent-graft. J Endovasc Ther 9(5):583–586Google Scholar
  40. Salgarello M, Lahoud P, Selvaggi G, Gentileschi S, Sturla M, Farallo E (2001) The effect of twisting on microanastomotic patency of arteries and veins in a rat model. Ann Plast Surg 47(6):643– 646 Google Scholar
  41. Scheinert D, Scheinert S, Sax J, Piorkowski C, Braunlich S, Ulrich M, Biamino G, Schmidt A (2005) Prevalence and clinical impact of stent fractures after femoropopliteal stenting. J Am Coll Cardiol 45(2):312–315Google Scholar
  42. Selvaggi G, Salgarello M, Farallo E, Anicic S, Formaggia L (2004) Effect of torsion on microvenous anastomotic patency in rat model and early thrombolytic phenomenon. Microsurgery 24(5):416–417Google Scholar
  43. Smedby O, Bergstrand L (1996) Tortuosity and atherosclerosis in the femoral artery: what is cause and what is effect? Ann Biomed Eng 24(4):474–480CrossRefGoogle Scholar
  44. Topalan M, Bilgin SS, Ip WY, Chow SP (2003) Effect of torsion on microarterial anastomosis patency. Microsurgery 23(1):56–59Google Scholar
  45. Van Epps JS, Vorp DA (2008) A new three-dimensional exponential material model of the coronary arterial wall to include shear stress due to torsion. J Biomech Eng Trans Asme 130(5):051001-1–051001-8Google Scholar
  46. Vos AWF, Linsen MAM, Marcus JT, van den Berg JC, Vos JA, Rauwerda JA, Wisselink W (2003) Carotid artery dynamics during head movements: a reason for concern with regard to carotid stenting? J Endovasc Therapy 10(5):862–869Google Scholar
  47. Wang C, Garcia M, Lu X, Lanir Y, Kassab GS (2006) Three-dimensional mechanical properties of porcine coronary arteries: a validated two-layer model. Am J Physiol Heart Circ Physiol 291(3):H1200–H1209Google Scholar
  48. Wong CH, Cui F, Tan BK, Liu Z, Lee HP, Lu C, Foo CL, Song C (2007) Nonlinear finite element simulations to elucidate the determinants of perforator patency in propeller flaps. Ann Plast Surg 59(6):672–678Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Justin R. Garcia
    • 1
  • Shawn D. Lamm
    • 1
  • Hai-Chao Han
    • 1
  1. 1.Department of Mechanical Engineering, Biomedical Engineering ProgramUniversity of Texas at San Antonio, UTSA-UTHSCSASan AntonioUSA

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