A structural constitutive model considering angular dispersion and waviness of collagen fibres of rabbit facial veins

BioMedical Engineering Online

Volumn 10, Issue , 2011, Pages

  Agianniotis, Aristotelis ^a   Rezakhaniha, Rana ^a   Stergiopulos, Nikos ^a  

^a EPFL   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

ANGULAR DISPERSIONS; COLLAGEN FIBRES; EFFECT OF PARAMETERS; EXPERIMENTAL DATA; MECHANICAL BEHAVIOUR; MECHANICAL RESPONSE; MODEL PARAMETERS; ORIENTATIONAL DISTRIBUTIONS; PARAMETRIC STUDY; PASSIVE PROPERTIES; STRUCTURAL ARRANGEMENT; STRUCTURAL FEATURE; STRUCTURAL MODELS; STRUCTURAL MODIFICATIONS; STRUCTURAL STRAIN; VASCULAR TISSUE; VASCULAR WALL;

BLOOD VESSELS; COLLAGEN; CONSTITUTIVE MODELS; DISPERSIONS; FIBERS; MODEL STRUCTURES; TISSUE;

WALLS (STRUCTURAL PARTITIONS);

ORYCTOLAGUS CUNICULUS;

COLLAGEN;

ANIMAL; ARTICLE; BIOMECHANICS; CHEMICAL STRUCTURE; CHEMISTRY; FACE; METABOLISM; RABBIT; VASCULARIZATION; VEIN;

ANIMALS; BIOMECHANICS; COLLAGEN; FACE; MODELS, MOLECULAR; RABBITS; VEINS;

EID: 79952197353     PISSN: 1475925X     EISSN: 1475925X     Source Type: Journal    
DOI: 10.1186/1475-925X-10-18     Document Type: Article

References (45)

1. Fung YC. Biomechanics: Mechanical Properties of living tissues 1981, Springer-Verlag.
2. Humphrey JD. Cardiovascular Solid Mechanics: cells, tissues and organs 2002, New York: Springer-Verlag New York.
3. Holzapfel GA, Gasser TC, Stadler M. A structural model for the viscoelastic behavior of arterial walls: Continuum formulation and finite element analysis. European Journal of Mechanics, A/Solids 2002, 21:441-463.
4. Wuyts FL, Vanhuyse VJ, Langewouters GJ, Decraemer WF, Raman ER, Buyle S. Elastic properties of human aortas in relation to age and atherosclerosis: A structural model. Phys Med Biol 1995, 40:1577-1597. 10.1088/0031-9155/40/10/002, 8532741.
5. Zulliger MA, Stergiopulos N. Structural strain energy function applied to ageing and hypertension. Arch Physiol Biochem 2004, 112:67.
6. Alastrue V, Martinez MA, Doblare M, Menzel A. Anisotropic micro-sphere-based finite elasticity applied to blood vessel modelling. Journal of the Mechanics and Physics of Solids 2009, 57:178-203.
7. Machyshyn IM, Bovendeerd PH, van de Ven AA, Rongen PM, van de Vosse FN. A model for arterial adaptation combining microstructural collagen remodeling and 3D tissue growth. Biomech Model Mechanobiol 2010, 9:671-687. 10.1007/s10237-010-0204-z, 20300950.
8. van den Broek C, van der Horst A, Rutten M, van de Vosse F. A generic constitutive model for the passive porcine coronary artery. Biomechanics and Modeling in Mechanobiology
9. Lokshin O, Lanir Y. Micro and macro rheology of planar tissues. Biomaterials 2009, 30:3118-3127. 10.1016/j.biomaterials.2009.02.039, 19324407.
10. Sacks MS. Incorporation of experimentally derived fiber orientation into a structural constitutive model for planar collagenous tissues. J Biomech Eng 2003, 125:280-287. 10.1115/1.1544508, 12751291.
11. Driessen NJB, Bouten CVC, Baaijens FPT. A structural constitutive model for collagenous cardiovascular tissues incorporating the angular fiber distribution. J Biomech Eng 2005, 127:494-503. 10.1115/1.1894373, 16060356.
12. Hurschler C, Loitz-Ramage B, Vanderby R. A structurally based stress-stretch relationship for tendon and ligament. J Biomech Eng 1997, 119:392-399. 10.1115/1.2798284, 9407276.
13. Federico S, Gasser TC. Nonlinear elasticity of biological tissues with statistical fibre orientation. J R Soc Interface 2010, 7:955-966. 10.1098/rsif.2009.0502, 20053655.
14. Clark JM, Glagov S. Transmural Organization Of The Arterial Media - The Lamellar Unit Revisited. Arteriosclerosis 1985, 5:19-34.
15. Dingemans KP, Teeling P, Lagendijk JH, Becker AE. Extracellular matrix of the human aortic media: an ultrastructural histochemical and immunohistochemical study of the adult aortic media. Anat Rec 2000, 258:1-14. 10.1002/(SICI)1097-0185(20000101)258:1<1::AID-AR1>3.0.CO;2-7, 10603443.
16. Canham PB, Finlay HM, Dixon JG, Boughner DR, Chen A. Measurements from light and polarised light microscopy of human coronary arteries fixed at distending pressure. Cardiovasc Res 1989, 23:973-982. 10.1093/cvr/23.11.973, 2611805.
17. Finlay HM, McCyllough L, Canham PB. Three-dimensional collagen organization of human brain arteries at different transmural pressures. J Vasc Res 1995, 32:301-312.
18. Canham PB, Talman EA, Finlay HM, Dixon JG. Medial collagen organization in human arteries of the heart and brain by polarized light microscopy. Connect Tissue Res 1991, 26:121-134. 10.3109/03008209109152168, 1711950.
19. Lanir Y. Constitutive equations for fibrous connective tissues. J Biomech 1983, 16:1-12. 10.1016/0021-9290(83)90041-6, 6833305.
20. Lanir Y. A structural theory for the homogeneous biaxial stress-strain relationships in flat collagenous tissues. J Biomech 1979, 12:423-436. 10.1016/0021-9290(79)90027-7, 457696.
21. Lanir Y, Lichtenstein O, Imanuel O. Optimal design of biaxial tests for structural material characterization of flat tissues. J Biomech Eng 1996, 118:41-47. 10.1115/1.2795944, 8833073.
22. Zulliger MA, Fridez P, Stergiopulos N, Hayashi K. A strain energy function for arteries accounting for wall composition and structure. J Biomech 2004, 37:989-1000. 10.1016/j.jbiomech.2003.11.026, 15165869.
23. Zulliger MA, Rachev A, Stergiopulos N. A constitutive formulation of arterial mechanics including vascular smooth muscle tone. Am J Physiol Heart Circ Physiol 2004, 287:H1335-1343. 10.1152/ajpheart.00094.2004, 15130890.
24. Billiar KL, Sacks MS. Biaxial mechanical properties of the native and glutaraldehyde-treated aortic valve cusp: Part II--A structural constitutive model. J Biomech Eng 2000, 122:327-335. 10.1115/1.1287158, 11036555.
25. Gasser TC, Ogden RW, Holzapfel GA. Hyperelastic modelling of arterial layers with distributed collagen fibre orientations. Journal of the Royal Society Interface 2006, 3:15-35.
26. Rezakhaniha R, Stergiopulos N. A structural model of the venous wall considering elastin anisotropy. J Biomech Eng 2008, 130. 10.1115/1.2907749, 18532866.
27. Decraemer WF, Maes MA, Vanhuyse VJ. An elastic stress-strain relation for soft biological tissues based on a structural model. J Biomech 1980, 13:463-468. 10.1016/0021-9290(80)90338-3, 7400174.
28. Fung YC. Biomechanics: motion, flow, stress and growth 1990, New York: Springer-Verlag New York Inc.
29. Mardia KV, Jupp PE. Directional statistics 2000, Chichester, John Wiley.
30. Burton AC. Relation of structure to function of the tissues of the wall of blood vessels. Physiol Rev 1954, 34:619-642.
31. Milnor WR. Hemodynamics 1989, Baltimore: William & Wilkins.
32. Sokolis DP. A passive strain-energy function for elastic and muscular arteries: correlation of material parameters with histological data. Med Biol Eng Comput 48:507-518. 10.1007/s11517-010-0598-x, 20390462.
33. Lillie MA, Shadwick RE, Gosline JM. Mechanical anisotropy of inflated elastic tissue from the pig aorta. J Biomech 43:2070-2078. 10.1016/j.jbiomech.2010.04.014, 20430395.
34. Zou Y, Zhang Y. An experimental and theoretical study on the anisotropy of elastin network. Ann Biomed Eng 2009, 37:1572-1583. 10.1007/s10439-009-9724-z, 19484387.
35. Cacho F, Elbischger PJ, Rodriguez JF, Doblare M, Holzapfel GA. A constitutive model for fibrous tissues considering collagen fiber crimp. International Journal of Non-Linear Mechanics 2007, 42:391-402.
36. Desch GW, Weizsacker HW. A model for passive elastic properties of rat vena cava. J Biomech 2007, 40:3130-3145. 10.1016/j.jbiomech.2007.03.028, 17512529.
37. Alastrue V, Pena E, Martinez MA, Doblare M. Experimental study and constitutive modelling of the passive mechanical properties of the ovine infrarenal vena cava tissue. J Biomech 2008, 41:3038-3045. 10.1016/j.jbiomech.2008.07.008, 18789443.
38. Gleason RL, Dye WW, Wilson E, Humphrey JD. Quantification of the mechanical behavior of carotid arteries from wild-type, dystrophin-deficient, and sarcoglycan-delta knockout mice. J Biomech 2008, 41:3213-3218. 10.1016/j.jbiomech.2008.08.012, 2688405, 18842267.
39. Wan W, Yanagisawa H, Gleason RL. Biomechanical and microstructural properties of common carotid arteries from fibulin-5 null mice. Ann Biomed Eng 38:3605-3617. 10.1007/s10439-010-0114-3, 20614245.
40. Wicker BK, Hutchens HP, Wu Q, Yeh AT, Humphrey JD. Normal basilar artery structure and biaxial mechanical behaviour. Comput Methods Biomech Biomed Engin 2008, 11:539-551. 10.1080/10255840801949793, 19230148.
41. Sokolis DP, Kefaloyannis EM, Kouloukoussa M, Marinos E, Boudoulas H, Karayannacos PE. A structural basis for the aortic stress-strain relation in uniaxial tension. J Biomech 2006, 39:1651-1662. 10.1016/j.jbiomech.2005.05.003, 16045914.
42. Canham PB, Finlay HM, Boughner DR. Contrasting structure of the saphenous vein and internal mammary artery used as coronary bypass vessels. Cardiovasc Res 1997, 34:557-567. 10.1016/S0008-6363(97)00056-4, 9231039.
43. Fonck E, Prod'hom G, Roy S, Augsburger L, Rufenacht D, Stergiopulos N. Effect Of Elastin Degredation on carotid wall mechanics as assessed by a constituent-based biomechanical model. American Journal of Physiology - Heart and Circulatory Physiology 2007, 292:H2754-H2763. 10.1152/ajpheart.01108.2006, 17237244.
44. Roy S, Silacci P, Stergiopulos N. Biomechanical proprieties of decellularized porcine common carotid arteries. American Journal of Physiology - Heart and Circulatory Physiology 2005, 289:H1567-H1576. 10.1152/ajpheart.00564.2004, 15908462.
45. Driessen NJB, Cox MAJ, Bouten CVC, Baaijens FPT. Remodelling of the angular collagen fiber distribution in cardiovascular tissues. Biomechanics and Modeling in Mechanobiology 2007, 7:93-103. 10.1007/s10237-007-0078-x, 2792349, 17354005.