Three-dimensional Full-field Measurements of Large Deformations in Soft Materials Using Confocal Microscopy and Digital Volume Correlation

Ingber DE, Dike L, Hansen L, Karp S, Liley H, Maniotis A, McNamee H, Mooney D, Plopper G, Sims J, Wang N (1994) Cellular tensegrity—exploring how mechanical changes in the cytoskeleton regulate cell-growth, migration, and tissue pattern during morphogenesis. Int Rev Cytol-A Survey of Cell Biology 150:173–224.

Lo CM, Wang HB, Dembo M, Wang YL (2000) Cell movement is guided by the rigidity of the substrate. Biophys J 79(1):144–152.

Petronis S, Gold J, Kasemo B (2003) Microfabricated force-sensitive elastic substrates for investigation of mechanical cell-substrate interactions. J Micromechanics Microengineering 13(6):900–913.

Wong JY, Velasco A, Rajagopalan P, Pham Q (2003) Directed movement of vascular smooth muscle cells on gradient-compliant hydrogels. Langmuir 19(5):1908–1913.

Tan JL, Tien J, Pirone DM, Gray DS, Bhadriraju K, Chen CS (2003) Cells lying on a bed of microneedles: an approach to isolate mechanical force. Proc Natl Acad Sci USA 100(4):1484–1489.

Gray DS, Tien J, Chen CS (2003) Repositioning of cells by mechanotaxis on surfaces with micropatterned Young’s modulus. J Biomed Materi Res Part A 66A(3):605–614.

Zaari N, Rajagopalan P, Kim SK, Engler AJ, Wong JY (2004) Photopolymerization in microfluidic gradient generators: microscale control of substrate compliance to manipulate cell response. Adv Mater 16(23–24):2133–2137.

Cukierman E, Pankov R, Stevens DR, Yamada KM (2001) Taking cell-matrix adhesions to the third dimension. Science 294(5547):1708–1712.

Even-Ram S, Yamada KM (2005) Cell migration in 3D matrix. Curr Opin Cell Biol 17(5):524–532.

Zaman MH, Kamm RD, Matsudaira P, Lauffenburger DA (2005) Computational model for cell migration in three-dimensional matrices. Biophys J 89(2):1389–1397.

Berfield TA, Patel HK, Shimmin RG, Braun PV, Lambros J, Sottos NR (2006) Fluorescent image correlation for nanoscale deformation measurements. Small 2(5):631–635.

Luo PF, Chao YJ, Sutton MA, Peters WH (1993) Accurate measurement of 3-dimensional deformations in deformable and rigid bodies using computer vision. Exp Mech 33(2):123–132.

Vendroux G, Knauss WG (1998) Submicron deformation field measurements: part 2. Improved digital image correlation. Exp Mech 38(2):86–92.

Sutton MA, Cheng MQ, Peters WH, Chao YJ, McNeill SR (1986) Application of an optimized digital correlation method to planar deformation analysis. Image Vis Comput 4(3):143–150.

Bay BK, Smith TS, Fyhrie DP, Saad M (1999) Digital volume correlation: Three-dimensional strain mapping using X-ray tomography. Exp Mech 39(3):217–226.

Roeder BA, Kokini K, Robinson JP, Voytik-Harbin SL (2004) Local, three-dimensional strain measurements within largely deformed extracellular matrix constructs. J Biomech Eng-Transactions of the Asme 126(6):699–708.

Smith TS, Bay BK, Rashid MM (2002) Digital volume correlation including rotational degrees of freedom during minimization. Exp Mech 42(3):272–278.

Corle TR, Kino GS (1996) Confocal scanning optical microscopy and related imaging systems. Academic, San Diego: xv, p 335.

Sheppard C, Shotton D (1997) Confocal laser scanning microscopy. BIOS Scientific; Springer, in association with the Royal Microscopical Society. Oxford; New York: xii, p 106.

Chen DJ, Chiang FP, Tan YS, Don HS (1993) Digital speckle-displacement measurement using a complex spectrum method. Appl Opt 32(11):1839–1849.

Takita K, Aoki T, Sasaki Y, Higuchi T, Kobayashi K (2003) High-accuracy subpixel image registration based on phase-only correlation. IEICE Trans Fundam Electron Commun Comput Sci E86A(8):1925–1934.

Hong S, Ravichandran G (2007) FFT-based digital image correlation algorithm for large deformation measurements. Galcit SM Technical Report, California Institute of Technology, Pasadena, CA.

Born M, Wolf E (1970) Principles of optics; electromagnetic theory of propagation, interference and diffraction of light, 4th edn. Pergamon, Oxford, New York,: xxviii, p 808.

Gu M (1996) Principles of three dimensional imaging in confocal microscopes. World Scientific. Singapore, River Edge, NJ: xii, p 337.

Lucy LB (1974) Iterative technique for rectification of observed distributions. Astron J 79(6):745–754.

Torok P, Varga P, Booker GR (1995) Electromagnetic diffraction of light focused through a planar interface between materials of mismatched refractive-indexes — structure of the electromagnetic-field .1. J Opt Soc Am A, Opt Image Sci Vis 12(10):2136–2144.

Sheppard CJR, Torok P (1997) Effects of specimen refractive index on confocal imaging. J Microsc-Oxford 185:366–374.

Visser TD, Oud JL, Brakenhoff GJ (1992) Refractive-index and axial distance measurements in 3-D microscopy. Optik 90(1):17–19.

Diaspro A, Federici F, Robello M (2002) Influence of refractive-index mismatch in high-resolution three-dimensional confocal microscopy. Appl Opt 41(4):685–690.

Ghahremani F (1980) Effect of grain-boundary sliding on anelasticity of polycrystals. Int J Solids Struct 16(9):825–845.

Welsh ER, Tirrell DA (2000) Engineering the extracellular matrix: a novel approach to polymeric biomaterials. I. Control of the physical properties of artificial protein matrices designed to support adhesion of vascular endothelial cells. Biomacromolecules 1(1):23–30.