Fourier analysis and automated measurement of cell and fiber angular orientation distributions

International Journal of Solids and Structures

Volumn 43, Issue 21, 2006, Pages 6413-6423

  Marquez, J Pablo ^a  

^a WASHINGTON UNIVERSITY IN ST LOUIS   (United States)

Author keywords

Angular orientation distributions; Fourier analysis

Indexed keywords

CELLS; COMPUTER SIMULATION; IMAGE ANALYSIS; MEASUREMENT THEORY; METALLIC MATRIX COMPOSITES; MOLECULAR ORIENTATION; MONTE CARLO METHODS; OPTIMIZATION;

ANGULAR ORIENTATION DISTRIBUTIONS; COMPUTER-GENERATED IMAGES; FOURIER ANALYSIS; OPTIMIZING PARAMETERS;

DISCRETE FOURIER TRANSFORMS;

EID: 33748706020     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2005.11.003     Document Type: Article

References (18)

1. Batschelet E. Circular Statistics in Biology (1981), Academic Press, London
2. Buryachenko V.A., and Roy A. Effective thermoelastic moduli and stress concentrator factors of nanocomposites. Acta Mech. 177 (2005) 149-169
3. Chen C.H., and Cheng C.H. Effective elastic moduli of misoriented short-fiber composites. Int. J. Solids Struct. 33 (1996) 2519-2539
4. Guerin, H.L., Elliott, D.M., 2005. Degeneration affects the non-affine fiber reorientation of human annulus fibrosus under load. J. Biomech., in press.
5. Karlon W.J., Hsu P.P., Li S., Chien S., and Mcculloch A.D. Measurement of orientation and distribution of cellular alignment and cytoskeletal organization. Ann. Biomed. Eng. 27 (1999) 712-772
6. Lanir Y. Constitutive equations for fibrous connective tissues. Journal of Biomechanics 16 (1983) 1-12
7. Marquez J.P., Genin G.M., Zahalak G.I., and Elson E.L. Thin bio-artificial tissues in plane stress: the relationship between cell and tissue strain, and an improved constitutive model. Biophys. J. 88 2 (2005) 765-777
8. Marquez J.P., Genin G.M., Zahalak G.I., and Elson E.L. The relationship between cell and tissue strain in three-dimensional bio-artificial tissues. Biophys. J. 88 2 (2005) 778-789
9. Mori T., and Tanaka K. Average stress in matrix and average elastic energy of materials with misfitting inclusions. Acta Metall. 21 (1973) 571-574
10. Odegard G.M., Gates T.S., Wise K.E., Park C., and Siochi E.J. Constitutive modeling of nanotube-reinforced polymer composites. Compos. Sci. Technol. 63 (2003) 1671-1687
11. Palmer B.M., and Bizios R. Quantitative characterization of vascular endothelial cell morphology and orientation using Fourier transform analysis. J. Biomech. Eng. 119 2 (1997) 159-165
12. Pourdeyhimi B., Dent R., and Davis H. Measuring fiber orientations in nonwovens. Part III: Fourier transform. Text. Res. J. 67 2 (1997) 143-151
13. Sacks M.S. Incorporation of experimentally-derived fiber orientation into a structural constitutive model for planar collagenous tissues. J. Biomech. Eng. 125 (2003) 280-287
14. Swindale N.V. Orientation tuning curves: empirical description and estimation of parameters. Biol. Cybernet. 78 (1998) 45-56
15. Thomopoulos, S., Marquez, J.P., Weinberger, B., Birman, V., Genin, G.M., in press. Collagen fiber orientation at the tendon to bone insertion, and its influence on load transfer. J. Biomech., doi:10.1016/j.jbiomech.2005.05.021.
16. Torquato S. Random heterogeneous media: microstructure and improved bounds on the effective properties. Appl. Mech. Rev. 44 (1991) 37
17. Wakatsuki T., Kolodney M.S., Zahalak G.I., and Elson E.L. Cell mechanics studied by a reconstituted model tissue. Biophys. J. 79 (2000) 2353-2368
18. Zahalak G.I., Wagenseil J.E., Wakatsuki T., and Elson E.L. A cell-based constitutive relation for bio-artificial tissues. Biophys. J. 79 (2000) 2369-2381