A constrained von Mises distribution to describe fiber organization in thin soft tissues

Biomechanics and Modeling in Mechanobiology

Volumn 11, Issue 3-4, 2012, Pages 475-482

  Gouget, Cecile L M ^a,b   Girard, Michael J ^a   Ethier, C Ross ^a  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

^b ECOLE POLYTECHNIQUE   (France)

Author keywords

Collagen fiber organization; Finite element implementation; Semi circular Von Mises distribution

Indexed keywords

FINITE ELEMENT METHOD; HISTOLOGY; LIGHT SCATTERING; MIXTURES; TISSUE; TISSUE ENGINEERING;

COLLAGEN FIBER ORGANIZATION; COLLAGEN FIBRES; FIBER DISTRIBUTION; FIBER ORGANIZATION; FINITE ELEMENT IMPLEMENTATION; PARAMETER DISTRIBUTIONS; SEMI-CIRCULAR VON MISE DISTRIBUTION; SOFT TISSUE; UNIMODAL; VON MISES DISTRIBUTION;

FIBERS;

COLLAGEN;

ANIMAL; ARTICLE; BIOMECHANICS; BIOPHYSICS; CHEMISTRY; COMPUTER SIMULATION; CONNECTIVE TISSUE; ELASTICITY; FINITE ELEMENT ANALYSIS; LIGHT; METABOLISM; METHODOLOGY; RADIATION SCATTERING; RAT; REPRODUCIBILITY; STATISTICAL MODEL; THEORETICAL MODEL;

ANIMALS; BIOMECHANICS; BIOPHYSICS; COLLAGEN; COMPUTER SIMULATION; CONNECTIVE TISSUE; ELASTICITY; FINITE ELEMENT ANALYSIS; LIGHT; MODELS, STATISTICAL; MODELS, THEORETICAL; RATS; REPRODUCIBILITY OF RESULTS; SCATTERING, RADIATION;

EID: 84861093123     PISSN: 16177959     EISSN: 16177940     Source Type: Journal    
DOI: 10.1007/s10237-011-0326-y     Document Type: Article

References (27)

1. Abahussin M, Hayes S et al (2009) 3D collagen orientation study of the human cornea using X-ray diffraction and femtosecond laser technology. Invest Ophthalmol Vis Sci 50(11):5159-5164
2. Aghamohammadzadeh H, Newton RH et al (2004) X-ray scattering used to map the preferred collagen orientation in the human cornea and limbus. Structure 12(2):249-256 (Pubitemid 38224547)
3. Bowes LE, Jimenez MCet al (1999) Collagen fiber orientation as quantified by small angle light scattering in wounds treated with transforming growth factor-beta2 and its neutralizing antibody.Wound Repair Regen 7(3):179-186 (Pubitemid 29331922)
4. Chien JCW, Chang EP (1972) Small-angle light scattering of reconstituted collagen. Macromolecules 5(5):610-617
5. Cortes DH, Lake SP et al (2010) Characterizing the mechanical contribution of fiber angular distribution in connective tissue: comparison of two modeling approaches. Biomech Model Mechanobiol 9(5):651-658
6. Ferdman AG, Yannas IV (1993) Scattering of light from histologic sections: a new method for the analysis of connective tissue. J Invest Dermatol 100(5):710-716 (Pubitemid 23128371)
7. Fisher NI (1993) Statistical analysis of circular data. Cambridge University Press, Cambridge
8. Fung YC (1993) Biomechanics mechanical properties of living tissues. Springer, New York
9. Gasser TC, Ogden RW et al (2006) Hyperelastic modelling of arterial layers with distributed collagen fibre orientations. JRSoc Interface 3:15-35 (Pubitemid 46682201)
10. Girard MJ, Dahlmann A et al (2010) Quantitative mapping of scleral fiber orientation in normal rat eyes. Invest Ophthalmol Vis Sci 51(5):2128
11. Girard MJ, Downs JC et al (2009) Peripapillary and posterior scleral mechanics-part II: experimental and inverse finite element characterization. J Biomech Eng 131(5):051012
12. Girard MJ, Downs JC et al (2009) Peripapillary and posterior scleral mechanics-part I: development of an anisotropic hyperelastic constitutive model. J Biomech Eng 131(5):051011
13. Girard MJ, Suh JK et al (2009) Scleral biomechanics in the agingmonkey eye. Invest Ophthalmol Vis Sci 50(11):5226-5237
14. Grytz R, Meschke G (2010) A computational remodeling approach to predict the physiological architecture of the collagen fibril network in corneo-scleral shells. Biomech ModelMechanobiol 9(2): 225-235
15. Grytz R, Meschke G et al (2010) The collagen fibril architecture in the lamina cribrosa and peripapillary sclera predicted by a computational remodeling approach. Biomech Model Mechanobio
16. Hayes S, Boote C et al (2007) A study of corneal thickness, shape and collagen organisation in keratoconus using videokeratography and X-ray scattering techniques. Exp Eye Res 84(3):423-434 (Pubitemid 46210057)
17. Joyce EM, Liao J et al (2009) Functional collagen fiber architecture of the pulmonary heart valve cusp. Ann Thorac Surg 87(4):1240-1249
18. McCally RL, Farrell RA (1982) Structural implications of small-angle light scattering from cornea. Exp Eye Res 34(1):99-113 (Pubitemid 12213582)
19. Meek KM, Boote C (2009) The use of X-ray scattering techniques to quantify the orientation and distribution of collagen in the corneal stroma. Prog Retin Eye Res 28(5):369-392
20. Nguyen TD, Boyce BL (2011) An inverse finite element method for determining the anisotropic properties of the cornea. Biomech Model Mechanobiol 10(3):323-337
21. Pandolfi A, Holzapfel GA (2008) Three-dimensional modeling and computational analysis of the human cornea considering distributed collagen fibril orientations. J Biomech Eng 130(6):061006
22. Pierce DM, Trobin W et al (2010) DT-MRI based computation of collagen fiber deformation in human articular cartilage: a feasibility study. Ann Biomed Eng 38(7):2447-2463
23. Price KV, Storn RM et al (2005) Differential evolution. A practical approach to global optimization. Springer, Berlin
24. Raghupathy R, Barocas VH (2009) closed-form structuralmodel of planar fibrous tissue mechanics". J Biomech 42(10):1424-1428
25. RobertsMD, Grau V et al (2008) Remodeling of the Connective Tissue Microarchitecture of the Lamina Cribrosa Occurs Early in Experimental Glaucoma in the Monkey Eye. Invest Ophthalmol Vis Sci 50(2):681-690
26. Sacks MS, Smith DB et al (1997) A small angle light scattering device for planar connective tissue microstructural analysis. Ann Biomed Eng 25(4):678-689
27. Timmins LH, Wu Q et al (2010) Structural inhomogeneity and fiber orientation in the inner arterial media. Am J Physiol Heart Circ Physiol 298(5):H1537-H1545