Modeling and mechanobiology of cerebral aneurysms

Journal of Applied Biomaterials and Biomechanics

Volumn 6, Issue 2, 2008, Pages 63-71

  Socci, Laura ^a   Pennati, G ^a   Gastaldi, D ^a   Vena, P ^a  

^a POLITECNICO DI MILANO   (Italy)

Author keywords

Cerebral aneurysms; Computational modeling; Growth; Remodeling

Indexed keywords

BIOLOGICAL MODEL; BIOMECHANICS; BLOOD VESSEL WALL; BRAIN ARTERY ANEURYSM; BRAIN BLOOD VESSEL; COMPUTER SIMULATION; MATHEMATICAL MODEL; MECHANICAL STIMULATION; MECHANICAL STRESS; PATHOGENESIS; REVIEW; SACCULAR ANEURYSM; TISSUE GROWTH; VASODILATATION;

EID: 53349118322     PISSN: 17226899     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Review

References (60)

1. Rinkel GJ, Djibuti M, Algra A, van Gijn J. Prevalence and risk of rupture of intracranial aneurysms: a systematic review. Stroke 1998; 29: 251-6.
2. Wiebers DO, Whisnant JP, Huston J 3rd, et al. Unruptured intracranial aneurysms: natural history, clinical outcome, and risks of surgical and endovascular treatment. Lancet 2003; 362: 103-10.
3. Ujiie H, Tachibana H, Hiramatsu O, et al. Effects of size and shape (aspect ratio) on the hemodynamics of saccular aneurysms: A possible index for surgical treatment of intracranial aneurysms. Neurosurgery 1999; 45: 119-29.
4. Wermer MJ, van der Schaaf IC, Algra A, Rinkel GJ. Risk of rupture of unruptured intracranial aneurysms in relation to patient and aneurysm characteristics: an updated meta-analysis. Stroke 2007; 38: 1404-10.
5. Figueroa A, Baek S, Taylor CA, Humphrey JD. A fluid-solid growth framework for multi-scale modeling of vascular structures. Fifth International Bio-Fluid Symposium and Workshop March 28-30, 2008, Pasadena, California. Abstract Book, pp 17-18.
6. Cebral J, Castro M, Appanaboyina S, Putman C, Millan D, Frangi A. Efficient pipeline for image-based patient-specific analysis of cerebral aneurysm hemodynamics: technique and sensitivity. IEEE Trans Med Imaging 2005; 24: 457-67.
7. Hassan T, Timofeev EV, Saito T, et al. A proposed parent vessel geometry-based categorization of saccular intracranial aneurysms: computational flow dynamics analysis of the risk factors for lesion rupture. J Neurosurg 2005; 103: 662-80.
8. Humphrey J, Canham P. Structure, mechanical properties, and mechanics of intracranial saccular aneurysms. J Elast 2000; 61: 49-81.
9. Krex D, Schackert HK, Schackert G. Genesis of cerebral aneurysms - an update. Acta Neurochir 2001; 143: 429-48.
10. Sekhar LN, Heros RC. Origin, growth, and rupture of saccular aneurysms: a review. Neurosurgery 1981; 8: 248-60.
11. Inci S, Spetzler RF. Intracranial aneurysms and arterial hypertension: a review and hypothesis. Surg Neurol 2000; 53: 530-40.
12. Sekhar LN, Sclabassi RJ, Sun M, Blue HB, Wasserman JF. Intra-aneurysmal pressure measurements in experimental saccular aneurysms in dogs. Stroke 1988; 19: 352-6.
13. Hashimoto T, Meng H, Young WL. Intracranial aneurysms: links among inflammation, hemodynamics and vascular remodeling. Neurol Res 2006; 28: 372-80.
14. Sho E, Nanjo H, Sho M, et al. Arterial enlargement, tortuosity, and intimal thickening in response to sequential exposure to high and low wall shear stress. J Vasc Surg 2004; 39: 601-12.
15. Gaetani P, Tartara F, Grazioli V, Tancioni F, Infuso L, Rodriguez y Baena R. Collagen cross-linkage, elastolytic and collagenolytic activities in cerebral aneurysms: a preliminary investigation. Life Sci 1998; 63: 285-92.
16. Shyy JY, Chien S. Role of integrins in endothelial mechanosensing of shear stress. Circ Res. 2002; 91: 769-75.
17. Fukuda S, Hashimoto N, Naritomi H, et al. Prevention of rat cerebral aneurysm formation by inhibition of nitric oxide synthase. Circulation 2000; 101: 2532-8.
18. Kinlay S, Creager MA, Fukumoto M, et al. Endothelium-derived nitric oxide regulates arterial elasticity in human arteries in vivo. Hypertension 2001; 38: 1049-53.
19. Kondo S, Hashimoto N, Kikuchi H, Hazama F, Nagata I, Kataoka H. Cerebral aneurysms arising at non-branching sites. An experimental Study. Stroke 1997; 28: 398-403.
20. Meng H, Wang Z, Hoi Y, et al. Complex hemodynamics at the apex of an arterial bifurcation induces vascular remodeling resembling cerebral aneurysm initiation. Stroke 2007; 38: 1924-31.
21. Short JG, Fujiwara NH, Marx WF, Helm GA, Cloft HJ, Kallmes DF. Elastase-induced saccular aneurysms in rabbits: comparison of geometric features with those of human aneurysms. AJNR Am J Neuroradiol 2001; 22: 1833-7.
22. MacDonald DJ, Finlay HM, Canham PB. Directional wall strength in saccular brain aneurysms from polarized light microscopy. Ann Biomed Eng 2000; 28: 533-42.
23. Canham PB, Finlay HM, Tong SY. Stereological analysis of the layered collagen of human intracranial aneurysms. J Microsc 1996; 183: 170-80.
24. Kataoka K, Taneda M, Asai T, Kinoshita A, Ito M, Kuroda R. Structural fragility and inflammatory response of ruptured cerebral aneurysms: a comparative study between ruptured and unruptured cerebral aneurysms. Stroke 1999; 30: 1396-401.
25. Cowin SC, Hegedus DH. Bone remodelling I: theory of adaptive elasticity. J Elast 1976; 6: 313-26.
26. Taber LA. Biomechanics of growth, remodeling, and morphogenesis. ASME Appl Mech Rev 1995; 48: 487-545.
27. Humphrey J. Stress, strain, and mechanotransduction in cells. J Biomech Eng 2001; 23: 638-41.
28. Carter DR, Orr TE, Fyhrie DP. Relationships between loading history and femoral cancellous bone architecture. J Biomech 1989; 22: 231-44.
29. Katz JL, Yoon HS, Lipson S, Maharidge R, Meunier A, Christel P. The effects of remodeling on the elastic properties of bone. Calcif Tissue Int 1984; 36 (suppl): S31-6.
30. Beaupre GS, Orr TE, Carter DR. An approach for time-dependent bone modelling and remodelling. J Orthop Res 1990; 8: 651-70.
31. Huiskes R, Chao EYS. A survey of finite element analysis in orthopedic biomechanics: The first decade. J Biomech 1983; 16: 385-409.
32. Harrigan TP, Hamilton JJ. Finite element simulation of adaptive bone remodelling: a stability criterion and a time stepping method. Int J Numer Meth Eng 1993; 36: 837-54.
33. Chen Y-C, Hoger A. Constitutive functions of elastic materials in finite growth and deformation. J. Elast 2000; 59: 175-93.
34. Cowin SC. Strain or deformation rate dependent finite growth in soft tissues. J Biomech 1996; 29: 647-9.
35. Driessen N, Wilson W, Bouten C, Baaijens F. A computational model for collagen fiber remodelling in the arterial wall. J Theor Biol 2004; 226: 53-64.
36. Gasser TC, Holzapfel GA. A rate-independent elastoplastic constitutive model for biological fiber-reinforced composites at finite strains: continuum basis, algorithmic formulation and finite element implementation. Comput Mech 2002; 29: 340-60.
37. Rodriguez EK, Hoger A, McCulloch AD. Stress-dependent finite growth in soft elastic tissues. J Biomech 1994; 27: 455-67.
38. Kuhl E, Steinmann P. On spatial and material settings of thermo-hyperelastodynamics for open systems. Acta Mechanica 2003; 160: 179-217.
39. Lee EH. Elastic-plastic deformation at finite strains. J Appl Mech 1969; 36: 1-6.
40. Langille BL. Remodeling of developing and mature arteries: endothelium, smooth muscle, and matrix. J Cardiovasc Pharmacol 1993; 21 (suppl): S11-7.
41. Liu SQ, Fung YC. Relationship between hypertension, hypertrophy, and opening angle of zero-stress state of arteries following aortic constriction. J Biomech Eng 1989; 111: 325-35.
42. Matsumoto T, Hayashi K. Mechanical and dimensional adaptation of rat aorta to hypertension. J Biomech Eng 1994; 116:278-83.
43. Taber LA, Eggers DW. Theoretical study of stress-modulated growth in the aorta. J Theor Biol 1996; 180: 343-57.
44. Taber LA. A model of aortic growth based on fluid shear and fiber stresses, J Biomech Eng 1998; 120: 348-54.
45. Rachev A, Stergiopulos N, Meister JJ. Theoretical study of dynamics of arterial wall remodeling in response to changes in blood pressure. J Biomcch 1996; 29: 635-42.
46. Rachev A. Theoretical study of the effect of stress-dependent remodeling on arterial geometry under hypertensive conditions. J Biomech 1997; 30: 819-27.
47. Humphrey JD, Rajagopal KR. A constrained mixture model for growth and remodeling of soft tissues. Math Models Methods Appl Sci 2002; 12: 407-30.
48. Humphrey JD. Remodeling of a collagenous tissue at fixed lengths. J Biomech Eng 1999; 121: 591-7.
49. Menzel A. A fibre reorientation model for orthotropic multiplicative growth. Configurational driving stresses, kinematics-based reorientation, and algorithmic aspects. Biomech Model Mechanobiol 2007; 6: 303-20.
50. Kuhl E, Maas R, Himpel G, Menzel A. Computational modeling of arterial wall growth. Attempts towards patient-specific simulations based on computer tomography. Biomech Model Mechanobiol 2007; 6: 321-31.
51. Hariton I, de Botton G, Gasser TC, Holzapfel GA. Stress-driven collagen fiber remodeling in arterial walls. Biomech Model Mechanobiol 2007; 6: 163-75.
52. Watton P, Hill NA, Heil M. A mathematical model for the growth of the abdominal aortic aneurysm, Biomech Model Mechanobiol 2004; 3: 98-113.
53. Baek S, Rajagopal & Humphrey JD. Competition between radial expansion and thickening in the enlargement of an intracranial saccular aneurysm. J Elast 2005; 80: 13-31.
54. Baek S, Rajagopal & Humphrey JD. A theoretical model of enlarging intracranial fusiform aneurysms. J Biomech Eng 2006; 128: 142-9.
55. Kroon MA, Holzapfel G. A model for saccular cerebral aneurysm growth by collagen fibre remodelling. J Theor Biol 2007; 247: 775-87.
56. Wulandana R, Robertson AM. An inelastic multi-mechanism constitutive equation for cerebral arterial tissue. Biomech Model Mechanobiol 2005; 4: 235-48.
57. Vena P, Gastaldi G, Socci L, Pennati G. An anisotropic model for tissue growth and remodeling during early development of cerebral aneurysms. Comput Mater Sci 2008; doi:10.1016/j.commatsci.2007.12.023.
58. Chatziprodromou I, Tricoli A, Poulikakos D, Ventikos Y. Haemodynamics and wall remodelling of a growing cerebral aneurysm: a computational model. J Biomech 2007; 40: 412-26.
59. Feng Y, Wada S, Tsubota K, Yamaguchi T. The application of computer simulation in the genesis and development of intracranial aneurysms. Technol Health Care 2005; 13: 281-91.
60. Socci L. Numerical models of cerebral aneurysm biomechanics. PhD Thesis, Politecnico di Milano, 2008.