Finite element modeling of balloon angioplasty by considering overstretch of remnant non-diseased tissues in lesions

Computational Mechanics

Volumn 40, Issue 1, 2007, Pages 47-60

  Gasser, T Christian ^a   Holzapfel, Gerhard A ^a,b  

^a ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

^b GRAZ UNIVERSITY OF TECHNOLOGY   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; PHYSIOLOGY; RESIDUAL STRESSES; TISSUE;

ATHEROSCLEROTIC ARTERIES; BALLOON ANGIOPLASTY; LESIONS; REMNANT NON-DISEASED TISSUES;

BIOMEDICAL ENGINEERING;

EID: 34248176317     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00466-006-0081-6     Document Type: Article

References (39)

1. Baptista J, di Mario C, Ozaki Y, Escaned J, Gil R, de Feyter P, Roelandt JR, Serruys PW (1996) Impact of plaque morphology and composition on the mechanism of lumen enlargement using intracoronary ultrasound and quantitative angiography after balloon angioplasty. Am J Cardiol 77:115-121
2. Braden GA, Herrington DM, Downes TR, Kutcher MA, Little WC(1994) Qualitative and quantitative contrasts in the mechanisms of lumen enlargement by coronary balloon angioplasty and directional coronary atherectomy. J Am Coll Cardiol 23:40-48
3. Canham PB, Finlay HM, Dixon JG, Boughner DR, Chen A (1989) Measurements from light and polarised light microscopy of human coronary arteries fixed at distending pressure. Cardiovasc Res 23:973-982
4. Carmines DV, McElhaney JH, Stack R (1991) A piece-wise non-linear elastic stress expression of human and pig coronary arteries tested in vitro. J Biomech 24:899-906
5. Castaneda-Zuniga W (1985) Pathophysiology of transluminal angioplasty. In: Meyer J, Erberl R, Rupprecht HJ (eds) Improvement of myocardial perfusion, pp 138-141. Martinus Nijhoff Publisher, Boston
6. Castaneda-Zuniga WR, Formanek A, Tadavarthy M, Vlodaver Z, Edwards JE, Zollikofer C, Amplatz K (1980) The mechanism of balloon angioplasty. Radiology 135:565-571
7. Chuong CJ, Fung YC (1983) Three-dimensional stress distribution in arteries. J Biomech Eng 105:268-274
8. Gasser TC, Holzapfel GA (2002) A rate-independent elastoplastic constitutive model for (biological) fiber-reinforced composites at finite strains: continuum basis, algorithmic formulation and finite element implementation. Comput Mech 29:340-360
9. Gasser TC, Schulze-Bauer CAJ, Holzapfel GA (2002) A three-dimensional finite element model for arterial clamping. J Biomech Eng 124:355-363
10. Herzog W, Gàl J (1998) Tendon. In: Nigg BM, Herzog W (eds) Biomechanics of the musculo-skeletal system, 2nd ed. pp 127-147. Wiley, Chichester
11. Hjemdahl-Monsen CE, Ambrose JA, Borrico S, Cohen M, Sherman W, Alexopoulos D, Gorlin R, Fuster V (1990) Angiographic patterns if balloon inflation during percutaneous transluminal coronary angioplasty: role of pressure-diameter curves in studying distensibility and elasticity of the stenotic lesion and the mechanism of dilation. J Am Coll Cardiol 16:569-575
12. Holzapfel GA, Gasser CT (2006) Computational stress-deformation analysis of arterial walls including high-pressure response. Int J Cardiol (in press)
13. Holzapfel GA, Gasser TC, Ogden RW (2000) A new constitutive framework for arterial wall mechanics and a comparative study of material models. J Elasticity 61:1-48
14. Holzapfel GA, Gasser TC, Ogden RW (2004) Comparison of a multi-layer structural model for arterial walls with a Fung-type model, and issues of material stability. J Biomech Eng 126:264-275
15. Holzapfel GA, Ogden RW (eds) (2003) Biomechanics of soft tissue in cardiovascular systems. Springer Wien New York
16. Holzapfel GA, Ogden RW (eds) (2006) Mechanics of biological tissue. Springer, Berlin Heidelberg New York
17. Holzapfel GA, Schulze-Bauer CAJ, Stadler M (2000) Mechanics of angioplasty: wall, balloon and stent. In: Casey J, Bao G (eds), Mechanics in biology, The American Society of Mechanical Engineers (ASME). New York AMD-Vol. 242/BED-Vol 46, pp 141-156
18. Holzapfel GA, Sommer G, Gasser CT, Regitnig P (2005) Determination of the layer-specific mechanical properties of human coronary arteries with non-atherosclerotic intimal thickening, and related constitutive modelling. Am J Physiol Heart Circ Physiol 289:H2048-2058
19. Holzapfel GA, Stadler M, Schulze-Bauer CAJ (2002) A layer-specific three-dimensional model for the simulation of balloon angioplasty using magnetic resonance imaging and mechanical testing. Ann Biomed Eng 30:753-767
20. Humphrey JD (2002) Cardiovascular solid mechanics. Cells, tissues, and organs. Springer, Berlin Heidelberg New York
21. Miehe C (1996) Multisurface thermoplasticity for single crystals at large strains in terms of Eulerian vector updates. Int J Solids Struct 33:3103-3130
22. Miehe C, Stein E (1992) A canonical model of multiplicative elasto-plasticity. Formulation and aspects of the numerical implementation. Eur J Mech A/Solids 11:25-43
23. Oktay HS, Kang T, Humphrey JD, Bishop GG (1991) Changes in the mechanical behavior of arteries following balloon angioplasty. In: ASME 1991 Biomechanics Symposium. AMD-Vol. 120. American Society of Mechanical Engineers
24. Olbrich T, Murray A (2001) Assessment of computer-controlled inflation/deflation for determining the properties of ptca balloon catheters with pressureûvolume curves. Physiol Meas 22:299-308
25. Ortiz M, Pandolfi A (1999) Finite-deformation irreversible cohesive elements for three-dimensional crack-propagation analysis. Int J Numer Meth Eng 44:1267-1282
26. Roach MR, Burton AC (1957) The reason for the shape of the distensibility curve of arteries. Canad J Biochem Physiol 35:681-690
27. Schulze-Bauer CAJ, Regitnig P, Holzapfel GA(2002) Mechanics of the human femoral adventitia including high-pressure response. Am J Physiol. Heart Circ Physiol 282:H2427-H2440 2002.
28. Simo JC, Armero F, Taylor RL (1993) Improved versions of assumed enhanced strain tri-linear elements for 3D finite deformation problems. Comput Meth Appl Mech Eng 110:359-386
29. Simo JC, Hughes TJR (1998) Computational Inelasticity. Springer, Berlin Heidelberg New York
30. Simo JC, Taylor RL, Pister KS (1985) Variational and projection methods for the volume constraint in finite deformation elasto -plasticity. Comput Meth Appl Mech Eng 51:177-208
31. Spencer AJM (1984) Constitutive theory for strongly anisotropic solids. In: Spencer AJM (ed). Continuum theory of the mechanics of fibre-reinforced composites, pp 1-32. Springer, Berlin Heidelberg New York, CISM Courses and Lectures No. 282, International Centre for Mechanical Sciences
32. n -continuous modeling of smooth contact surfaces using NURBS and applications to 2D problems. Int J Numer Meth Eng 57:2177-2203
33. Taber LA (1995) Biomechanics of growth, remodelling, and morphognesis. Appl Mech Rev 48:487-543
34. Taylor RL (2000) FEAP - a finite element analysis program - Version 7.3. University of California at Berkeley
35. The SHK, Gussenhoven EJ, Zhong Y, Li W, van Egmond F, Pieterman H (1992) Effect of balloon angioplasty on femoral artery evaluated with intravascular ultrasound imaging. Circulation 86:483-493
36. Toussaint JF, Southern JF, Kantor HL, Jang IK, Fuster V (1998) Behavior of atherosclerotic plaque components after in vitro angioplasty and atherectomy studied by high field MR imaging. Magn Reson Imaging, 16:175-183
37. Virmani R, Farb A, Burke AP (1994) Coronary angioplasty from the perspective of atherosclerotic plaque: morphologic predictors of immediate success and restenosis. Am Heart J 127:163-179
38. Yu Q, Zhou J, Fung YC (1993) Neutral axis location in bending and Young's modulus of different layers of arterial wall. Am J Physiol 265:H52-H60
39. Zollikofer CL, Salomonowitz E, Sibley R, Chain J, Bruehlmann WF, Castaneda-Zuniga WR, Amplatz K (1994) Transluminal angioplasty evaluated by electron microscopy. Radiology 153:369-374