Local, three-dimensional strain measurements within largely deformed extracellular matrix constructs.

The ability to create extracellular matrix (ECM) constructs that are mechanically and biochemically similar to those found in vivo and to understand how their properties affect cellular responses will drive the next generation of tissue engineering strategies. To date, many mechanisms by which cells biochemically communicate with the ECM are known. However the mechanisms by which mechanical information is transmitted between cells and their ECM remain to be elucidated. "Self-assembled" collagen matrices provide an in vitro-model system to study the mechanical behavior of ECM. To begin to understand how the ECM and the cells interact mechanically, the three-dimensional (3D) mechanical properties of the ECM must be quantified at the micro-(local) level in addition to information measured at the macro-(global) level. Here we describe an incremental digital volume correlation (IDVC) algorithm to quantify large (>0.05) 3D mechanical strains in the microstructure of 3D collagen matrices in response to applied mechanical loads. Strain measurements from the IDVC algorithm rely on 3D confocal images acquired from collagen matrices under applied mechanical loads. The accuracy and the precision of the IDVC algorithm was verified by comparing both image volumes collected in succession when no deformation was applied to the ECM (zero strain) and image volumes to which simulated deformations were applied in both ID and 3D (simulated strains). Results indicate that the IDVC algorithm can accurately and precisely determine the 3D strain state inside largely deformed collagen ECMs. Finally, the usefulness of the algorithm was demonstrated by measuring the microlevel 3D strain response of a collagen ECM loaded in tension.

[1]  Y. Wang,et al.  High resolution detection of mechanical forces exerted by locomoting fibroblasts on the substrate. , 1999, Molecular biology of the cell.

[2]  J. P. Robinson,et al.  Time-lapse confocal reflection microscopy of collagen fibrillogenesis and extracellular matrix assembly in vitro. , 2000, Biopolymers.

[3]  G I Zahalak,et al.  A cell-based constitutive relation for bio-artificial tissues. , 2000, Biophysical journal.

[4]  M Eastwood,et al.  Effect of precise mechanical loading on fibroblast populated collagen lattices: morphological changes. , 1998, Cell motility and the cytoskeleton.

[5]  Cees W J Oomens,et al.  Predicting local cell deformations in engineered tissue constructs: a multilevel finite element approach. , 2002, Journal of biomechanical engineering.

[6]  W. F. Ranson,et al.  Applications of digital-image-correlation techniques to experimental mechanics , 1985 .

[7]  Markus Raffel,et al.  Particle Image Velocimetry: A Practical Guide , 2002 .

[8]  M. Varedi,et al.  Stress-relaxation and contraction of a collagen matrix induces expression of TGF-β and triggers apoptosis in dermal fibroblasts , 2000 .

[9]  R T Tranquillo,et al.  A finite element solution for the anisotropic biphasic theory of tissue-equivalent mechanics: the effect of contact guidance on isometric cell traction measurement. , 1997, Journal of biomechanical engineering.

[10]  M. Adams The mechanical environment of chondrocytes in articular cartilage. , 2006, Biorheology.

[11]  Ning Wang,et al.  Spatial and temporal traction response in human airway smooth muscle cells. , 2002, American journal of physiology. Cell physiology.

[12]  T D Brown,et al.  Techniques for mechanical stimulation of cells in vitro: a review. , 2000, Journal of biomechanics.

[13]  M. Varedi,et al.  Stress-relaxation and contraction of a collagen matrix induces expression of TGF-beta and triggers apoptosis in dermal fibroblasts. , 2000, Biochemistry and cell biology = Biochimie et biologie cellulaire.

[14]  John F. Bolton,et al.  Chondrocyte deformation within compressed agarose constructs at the cellular and sub-cellular levels. , 2000, Journal of biomechanics.

[15]  J.M.A. Lenihan,et al.  Biomechanics — Mechanical properties of living tissue , 1982 .

[16]  J. Hoffman Numerical Methods for Engineers and Scientists , 2018 .

[17]  F. Grinnell,et al.  Stress relaxation of fibroblasts activates a cyclic AMP signaling pathway , 1994, The Journal of cell biology.

[18]  A. Harris,et al.  Silicone rubber substrata: a new wrinkle in the study of cell locomotion. , 1980, Science.

[19]  M. Sutton,et al.  High-temperature deformation measurements using digital-image correlation , 1996 .

[20]  B. Bay,et al.  Digital volume correlation: Three-dimensional strain mapping using X-ray tomography , 1999 .

[21]  K. Jacobson,et al.  Traction forces generated by locomoting keratocytes , 1994, The Journal of cell biology.

[22]  B. Nusgens,et al.  Pretranslational regulation of extracellular matrix macromolecules and collagenase expression in fibroblasts by mechanical forces. , 1992, Laboratory investigation; a journal of technical methods and pathology.

[23]  R. Tranquillo,et al.  Biphasic Theory and In Vitro Assays of Cell-Fibril Mechanical Interactions in Tissue-Equivalent Gels , 1994 .

[24]  Ken Jacobson,et al.  Microscope-based techniques to study cell adhesion and migration , 2002, Nature Cell Biology.

[25]  J. Paul Robinson,et al.  Three-dimensional imaging of extracellular matrix and extracellular matrix-cell interactions. , 2001, Methods in cell biology.

[26]  Y. Wang,et al.  Cell locomotion and focal adhesions are regulated by substrate flexibility. , 1997, Proceedings of the National Academy of Sciences of the United States of America.

[27]  V. Mow,et al.  Chondrocyte deformation and local tissue strain in articular cartilage: A confocal microscopy study , 1995, Journal of orthopaedic research : official publication of the Orthopaedic Research Society.

[28]  B Agoram,et al.  Coupled macroscopic and microscopic scale modeling of fibrillar tissues and tissue equivalents. , 2001, Journal of biomechanical engineering.

[29]  J. Paul Robinson,et al.  Simultaneous Mechanical Loading and Confocal Reflection Microscopy for Three-Dimensional Microbiomechanical Analysis of Biomaterials and Tissue Constructs , 2003, Microscopy and Microanalysis.

[30]  R T Tranquillo,et al.  An anisotropic biphasic theory of tissue-equivalent mechanics: the interplay among cell traction, fibrillar network deformation, fibril alignment, and cell contact guidance. , 1997, Journal of biomechanical engineering.

[31]  F. Hirche,et al.  Fibroblasts in Mechanically Stressed Collagen Lattices Assume a “Synthetic” Phenotype* , 2001, The Journal of Biological Chemistry.

[32]  B. Hinz,et al.  Myofibroblasts and mechano-regulation of connective tissue remodelling , 2002, Nature Reviews Molecular Cell Biology.

[33]  H Weinans,et al.  Cell and nucleus deformation in compressed chondrocyte-alginate constructs: temporal changes and calculation of cell modulus. , 2002, Biochimica et biophysica acta.

[34]  Robert A. Brown,et al.  Mechanical loading regulates protease production by fibroblasts in three‐dimensional collagen substrates , 2000, Wound repair and regeneration : official publication of the Wound Healing Society [and] the European Tissue Repair Society.

[35]  Nand K. Jha,et al.  Optimal image correlation in experimental mechanics , 1994 .

[36]  T. Borg,et al.  Collagen expression in mechanically stimulated cardiac fibroblasts. , 1991, Circulation research.

[37]  Van C. Mow,et al.  A Finite Deformation Theory for Nonlinearly Permeable Soft Hydrated Biological Tissues , 1986 .

[38]  J. Pawley,et al.  Handbook of Biological Confocal Microscopy , 1990, Springer US.

[39]  H. D. Cavanagh,et al.  An in vitro force measurement assay to study the early mechanical interaction between corneal fibroblasts and collagen matrix. , 1997, Experimental cell research.

[40]  M. M. Rashid,et al.  Digital volume correlation including rotational degrees of freedom during minimization , 2002 .

[41]  M. Sutton,et al.  Estimation of stress intensity factor by digital image correlation , 1987 .

[42]  G. Laurent,et al.  Mechanical Load and Polypeptide Growth Factors Stimulate Cardiac Fibroblast Activity , 1995, Annals of the New York Academy of Sciences.

[43]  M. Dembo,et al.  Stresses at the cell-to-substrate interface during locomotion of fibroblasts. , 1999, Biophysical journal.

[44]  G. Ateshian,et al.  An automated approach for direct measurement of two-dimensional strain distributions within articular cartilage under unconfined compression. , 2002, Journal of biomechanical engineering.

[45]  D R Carter,et al.  A microstructural model for the tensile constitutive and failure behavior of soft skeletal connective tissues. , 1998, Journal of biomechanical engineering.

[46]  V. Mow,et al.  The mechanical environment of the chondrocyte: a biphasic finite element model of cell-matrix interactions in articular cartilage. , 2000, Journal of biomechanics.

[47]  M. Sacks,et al.  A method to quantify the fiber kinematics of planar tissues under biaxial stretch. , 1997, Journal of biomechanics.

[48]  F Guilak,et al.  Volume and surface area measurement of viable chondrocytes in situ using geometric modelling of serial confocal sections , 1994, Journal of microscopy.

[49]  J. Spring,et al.  Tenascin-C expression by fibroblasts is elevated in stressed collagen gels , 1994, The Journal of cell biology.

[50]  J. Paul Robinson,et al.  Tensile mechanical properties of three-dimensional type I collagen extracellular matrices with varied microstructure. , 2002, Journal of biomechanical engineering.

[51]  Farshid Guilak,et al.  Stress, Strain, Pressure and Flow Fields in Articular Cartilage and Chondrocytes , 1994 .

[52]  Remo Guidieri Res , 1995, RES: Anthropology and Aesthetics.

[53]  Y. Fung,et al.  Biomechanics: Mechanical Properties of Living Tissues , 1981 .