A model for arterial adaptation combining microstructural collagen remodeling and 3D tissue growth

Biomechanics and Modeling in Mechanobiology

Volumn 9, Issue 6, 2010, Pages 671-687

  Machyshyn, I M ^a   Bovendeerd, P H M ^a   Van De Ven, A A F ^a   Rongen, P M J ^b   Van De Vosse, F N ^a  

^a EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

^b PHILIPS HEALTHCARE   (United States)

Author keywords

Aneurysm; Artery; Collagen; Growth; Remodeling

Indexed keywords

FINITE ELEMENT METHOD; TISSUE;

3D TISSUES; ANEURYSM; ARTERY; GROWTH AND REMODELING; INTERPRETATION OF EXPERIMENTS; MICRO-STRUCTURAL; REMODELING; SOFT TISSUE; TESTING HYPOTHESIS; TISSUE GROWTH;

COLLAGEN;

COLLAGEN;

ADAPTATION; ANEURYSM; ARTERY; ARTICLE; BIOLOGICAL MODEL; COMPUTER SIMULATION; FINITE ELEMENT ANALYSIS; GROWTH, DEVELOPMENT AND AGING; HEALTH; HOMEOSTASIS; HUMAN; METABOLISM; PATHOPHYSIOLOGY; TIME;

ADAPTATION, PHYSIOLOGICAL; ANEURYSM; ARTERIES; COLLAGEN; COMPUTER SIMULATION; FINITE ELEMENT ANALYSIS; HEALTH; HOMEOSTASIS; HUMANS; MODELS, CARDIOVASCULAR; TIME FACTORS;

EID: 78649885379     PISSN: 16177959     EISSN: 16822978     Source Type: Journal    
DOI: 10.1007/s10237-010-0204-z     Document Type: Article

References (46)

1. PW Alford JD Humphrey LA Taber 2008 Growth and remodeling in a thick-walled artery model: effects of spatial variations in wall constituents Biomech Model Mechanobiol 7 4 245 262 10.1007/s10237-007-0101-2 (Pubitemid 352039634)
2. SR Baek KR Rajagopal JD Humphrey 2005 Competition between radial expansion and thickening in the enlargement of an intracranial saccular aneurysm J Elast 80 13 31 05032477 10.1007/s10659-005-9004-6 2215416
3. SR Baek KR Rajagopal JD Humphrey 2006 A theoretical model of enlarging intracranial fusiform aneurysms J Biomech Eng 128 142 149 10.1115/1.2132374
4. M Carmo L Colombo A Bruno F Corsi L Roncoroni MS Cuttin F Radice E Mussini PG Settembrini 2002 Alteration of elastin, collagen and their cross-links in abdominal aortic aneurysms Eur J Vasc Endovasc Surg 23 6 543 549 10.1053/ejvs.2002.1620 (Pubitemid 41079407)
5. D Dajnowiec BL Langille 2007 Arterial adaptations to chronic changes in haemodynamic function: coupling vasomotor tone to structural remodelling Clin Sci (Lond) 113 1 15 23 10.1042/CS20060337 (Pubitemid 47066021)
6. NJB Driessen W Wilson CVC Bouten FPT Baaijens 2004 A computational model for collagen fibre remodelling in the arterial wall J Theor Biol 226 53 64 10.1016/j.jtbi.2003.08.004 (Pubitemid 37448569)
7. NJB Driessen CVC Bouten FPT Baaijens 2005 A structural constitutive model for collagenous cardiovascular tissues incorporating the angular fiber distribution J Biomech Eng 127 3 494 503 10.1115/1.1894373 (Pubitemid 40881164)
8. NJB Driessen MAJ Cox CVC Bouten FPT Baaijens 2008 Remodeling of the angular collagen fiber distribution in cardiovascular tissues Biomech Model Mechanobiol 7 2 93 103 10.1007/s10237-007-0078-x (Pubitemid 351438181)
9. SA Feldman S Glagov 1971 Transmedial collagen and elastin gradients in human aortas: reversal with age Atherosclerosis 13 3 385 394 10.1016/0021-9150(71)90081-5
10. HM Finlay L McCullough PB Canham 1995 Three-dimensional collagen organization of human brain arteries at different transmural pressures J Vasc Res 32 5 301 312
11. J Frösen A Piippo A Paetau M Kangasniemi M Niemelä J Hernesniemi J Jääskeläinen 2004 Remodeling of saccular cerebral artery aneurysm wall is associated with rupture: histological analysis of 24 unruptured and 42 ruptured cases Stroke 35 10 2287 2293 10.1161/01.STR. 0000140636.30204.da (Pubitemid 39311251)
12. YD Fung 1991 What are the residual stresses doing in our blood vessels? Ann Biomed Eng 19 3 237 249 10.1007/BF02584301 1166847
13. Fung YC (1993) Biomechanics: mechanical properties of living tissues. Springer, New York
14. RL Gleason LA Taber JD Humphrey 2004 A 2-D model of flow-induced alterations in the geometry, structure, and properties of carotid arteries J Biomech Eng 126 3 371 381 10.1115/1.1762899 (Pubitemid 38944128)
15. SE Greenwald JE Moore A Rachev TP Kane JJ Meister 1997 Experimental investigation of the distribution of residual strains in the artery wall J Biomech Eng 119 4 438 444 10.1115/1.2798291
16. I Hariton G deBotton TC Gasser GA Holzapfel 2007 Stress-driven collagen fiber remodeling in arterial walls Biomech Model Mechanobiol 6 3 163 175 10.1007/s10237-006-0049-7 (Pubitemid 46450733)
17. CM He MR Roach 1994 The composition and mechanical properties of abdominal aortic aneurysms J Vasc Surg 20 1 6 13
18. GA Holzapfel TC Gasser RW Ogden 2000 A new constitutive framework for arterial wall mechanics and a comparative study of material models J Elast 16 1 48 10.1023/A:1010835316564 1852945 (Pubitemid 32732278)
19. JJ Hu TW Fossum MW Miller H Xu JC Liu JD Humphrey 2007 Biomechanics of the porcine basilar artery in hypertension Ann Biomed Eng 35 1 19 29 10.1007/s10439-006-9186-5 (Pubitemid 44916313)
20. JD Humphrey 1999 Remodeling of a collagenous tissue at fixed lengths J Biomech Eng 121 591 597 10.1115/1.2800858
21. JD Humphrey KR Rajagopal 2002 A constrained mixture model for growth and remodeling of soft tissues Math Model Method Appl Sci 12 3 407 430 1021.74026 10.1142/S0218202502001714 1894260
22. SM Klisch TJ van Dyke A Hoger 2001 A theory of volumetric growth for compressible elastic biological materials Math Mech Solids 6 551 575 1022.74027 10.1177/108128650100600601
23. M Kroon GA Holzapfel 2007 A model for saccular cerebral aneurysm growth by collagen fibre remodelling J Theor Biol 247 4 775 787 10.1016/j.jtbi.2007.03. 009 2479624 (Pubitemid 47081034)
24. E Kuhl R Maas G Himpel A Menzel 2007 Computational modeling of arterial wall growth Biomech Model Mechanobiol 6 321 331 10.1007/s10237-006-0062-x (Pubitemid 47325973)
25. BL Langille 1996 Arterial remodeling: relation to hemodynamics Can J Physiol Pharmacol 74 834 841 10.1139/cjpp-74-7-834 (Pubitemid 26426573)
26. S Lehoux CA Lemarie B Esposito HR Lijnen A Tedgui 2004 Pressure-induced matrix metalloproteinase-9 contributes to early hypertensive remodeling Circulation 109 8 1041 1047 10.1161/01.CIR.0000115521.95662.7A (Pubitemid 38282859)
27. A Malek S Izumo 1992 Physiological fluid shear stress causes downregulation of endothelin-1 mRNA in bovine aortic endothelium Am J Physiol 263 2 Pt 1 C389 C396
28. A Rachev N Stergiopulos JJ Meister 1996 Theoretical study of dynamics of arterial wall remodeling in response to changes in blood pressure J Biomech 29 5 635 642 10.1016/0021-9290(95)00108-5 (Pubitemid 26093289)
29. Rhodin JAG (1980) Architecture of the vessel wall. In: Sparks HVJr, Bohr DF, Somlyo AD, Geiger SR (eds) Handbook of physiology. The cardiovascular system, vol 2. American Physiological Society, Bethesda, pp 1-31
30. EK Rodriguez A Hoger AD McCulloch 1994 Stress-dependent finite growth in soft elastic tissues J Biomech 27 4 455 467 10.1016/0021-9290(94)90021-3 (Pubitemid 24102058)
31. J Rodriguez JM Goicolea F Gabaldon 2007 A volumetric model for growth of arterial walls with arbitrary geometry and loads J Biomech 40 5 961 971 10.1016/j.jbiomech.2006.05.002 (Pubitemid 46349072)
32. Segal A (2007) SEPRAN programmers guide, standard problems, users manual, manual examples, manual user examples, theoretical manual. Ingenieursbureau SEPRA, Den Haag
33. D Seliktar RM Nerem ZS Galis 2003 Mechanical strain-stimulated remodeling of tissue-engineered blood vessel constructs Tissue Eng 9 4 657 666 10.1089/107632703768247359 (Pubitemid 37048108)
34. R Skalak G Dasgupta M Moss E Otten P Dullumeijer H Vilmann 1982 Analytical description of growth J Theor Biol 94 3 555 577 10.1016/0022-5193(82) 90301-0 (Pubitemid 12154339)
35. LA Taber 1998 A model for aortic growth based on fluid shear and fiber stresses J Biomech Eng 120 348 354 10.1115/1.2798001
36. LA Taber 2000 Pattern formation in a nonlinear membrane model for epithelial morphogenesis Acta Biotheor 48 47 63 10.1023/A:1002691300115 (Pubitemid 30322696)
37. LA Taber DW Eggers 1996 Theoretical study of stress-modulated growth in the aorta J Theor Biol 180 4 343 357 10.1006/jtbi.1996.0107 (Pubitemid 26258553)
38. LA Taber JD Humphrey 2001 Stress-modulated growth, residual stress, and vascular heterogeneity J Biomech Eng 123 6 528 535 10.1115/1.1412451 (Pubitemid 34016544)
39. M Uematsu Y Ohara JP Navas K Nishida TJ Murphy RW Alexander RM Nerem DG Harrison 1995 Regulation of endothelial cell nitric oxide synthase mRNA expression by shear stress Am J Physiol 269 6 Pt 1 C1371 C1378
40. A Valentin L Cardamone S Baek JD Humphrey 2009 Complementary vasoactivity and matrix remodelling in arterial adaptations to altered flow and pressure J R Soc Interface 6 32 293 306 10.1098/rsif.2008.0254
41. PN Watton NA Hill 2009 Evolving mechanical properties of a model of abdominal aortic aneurysm Biomech Model Mechanobiol 8 1 25 42 10.1007/s10237-007-0115-9
42. PN Watton NA Hill M Heil 2004 A mathematical model for the growth of the abdominal aortic aneurysm Biomech Model Mechanobiol 3 98 113 10.1007/s10237-004-0052-9 (Pubitemid 40265574)
43. PN Watton Y Ventikos GA Holzapfel 2009 Modelling the growth and stabilization of cerebral aneurysms Math Med Biol 26 2 133 164 1163.92019 10.1093/imammb/dqp001
44. MJ Wermer IC van der Schaaf BK Velthuis A Algra E Buskens GJ Rinkel 2005 Follow-up screening after subarachnoid haemorrhage: frequency and determinants of new aneurysms and enlargement of existing aneurysms Brain 128 2421 2429 10.1093/brain/awh587 (Pubitemid 41407980)
45. BK Wicker HP Hutchens Q Wu AT Yeh JD Humphrey 2008 Normal basilar artery structure and biaxial mechanical behaviour Comput Methods Biomech Biomed Eng 11 5 539 551 10.1080/10255840801949793
46. H Wolinsky S Glagov 1964 Structural basis for the static mechanical properties of the aortic media Circ Res 14 400 413