For whom the cells pull: Hydrogel and micropost devices for measuring traction forces.

While performing several functions, adherent cells deform their surrounding substrate via stable adhesions that connect the intracellular cytoskeleton to the extracellular matrix. The traction forces that deform the substrate are studied in mechanotrasduction because they are affected by the mechanics of the extracellular milieu. We review the development and application of two methods widely used to measure traction forces generated by cells on 2D substrates: (i) traction force microscopy with polyacrylamide hydrogels and (ii) calculation of traction forces with arrays of deformable microposts. Measuring forces with these methods relies on measuring substrate displacements and converting them into forces. We describe approaches to determine force from displacements and elaborate on the necessary experimental conditions for this type of analysis. We emphasize device fabrication, mechanical calibration of substrates and covalent attachment of extracellular matrix proteins to substrates as key features in the design of experiments to measure cell traction forces with polyacrylamide hydrogels or microposts. We also report the challenges and achievements in integrating these methods with platforms for the mechanical stimulation of adherent cells. The approaches described here will enable new studies to understand cell mechanical outputs as a function of mechanical inputs and advance the understanding of mechanotransduction mechanisms.

[1]  David A. Puleo,et al.  An Introduction To Tissue-Biomaterial Interactions: Tissue-Biomaterial , 2003 .

[2]  Ravi A. Desai,et al.  Mechanical regulation of cell function with geometrically modulated elastomeric substrates , 2010, Nature Methods.

[3]  Luigi Preziosi,et al.  Time‐dependent traction force microscopy for cancer cells as a measure of invasiveness , 2013, Cytoskeleton.

[4]  David J Mooney,et al.  Extracellular matrix stiffness and composition jointly regulate the induction of malignant phenotypes in mammary epithelium. , 2014, Nature materials.

[5]  D. Lauffenburger,et al.  Migration of tumor cells in 3D matrices is governed by matrix stiffness along with cell-matrix adhesion and proteolysis. , 2006, Proceedings of the National Academy of Sciences of the United States of America.

[6]  Christian Franck,et al.  Quantifying cellular traction forces in three dimensions , 2009, Proceedings of the National Academy of Sciences.

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

[8]  P. Janmey,et al.  Polyacrylamide hydrogels for cell mechanics: steps toward optimization and alternative uses. , 2007, Methods in cell biology.

[9]  Valerie M. Weaver,et al.  The extracellular matrix at a glance , 2010, Journal of Cell Science.

[10]  Chwee Teck Lim,et al.  Epithelial bridges maintain tissue integrity during collective cell migration. , 2014, Nature materials.

[11]  Sharon Gerecht,et al.  Hyaluronic acid hydrogel stiffness and oxygen tension affect cancer cell fate and endothelial sprouting. , 2014, Biomaterials science.

[12]  G. Whitesides,et al.  Soft Lithography. , 1998, Angewandte Chemie.

[13]  H. Mirzadeh,et al.  Modification of polysiloxane polymers for biomedical applications: a review , 2001 .

[14]  C. Verdier,et al.  Traction patterns of tumor cells , 2009, Journal of mathematical biology.

[15]  Dan Li,et al.  Biocompatible polymer materials : Role of protein-surface interactions , 2008 .

[16]  Eben Alsberg,et al.  FRET measurements of cell-traction forces and nano-scale clustering of adhesion ligands varied by substrate stiffness. , 2005, Proceedings of the National Academy of Sciences of the United States of America.

[17]  Sami Alom Ruiz,et al.  Mechanical tugging force regulates the size of cell–cell junctions , 2010, Proceedings of the National Academy of Sciences.

[18]  Andrés J. García,et al.  Cell adhesion strengthening: contributions of adhesive area, integrin binding, and focal adhesion assembly. , 2005, Molecular biology of the cell.

[19]  Douglas W DeSimone,et al.  Cell adhesion receptors in mechanotransduction. , 2008, Current opinion in cell biology.

[20]  Viola Vogel,et al.  Probing cellular traction forces by micropillar arrays: contribution of substrate warping to pillar deflection. , 2010, Nano letters.

[21]  Mikala Egeblad,et al.  Matrix Crosslinking Forces Tumor Progression by Enhancing Integrin Signaling , 2009, Cell.

[22]  M. Bissell,et al.  Of extracellular matrix, scaffolds, and signaling: tissue architecture regulates development, homeostasis, and cancer. , 2006, Annual review of cell and developmental biology.

[23]  T. Maung on in C , 2010 .

[24]  Micah Dembo,et al.  The dynamics and mechanics of endothelial cell spreading. , 2005, Biophysical journal.

[25]  Annika Enejder,et al.  Hybrid Elastin-like Polypeptide–Polyethylene Glycol (ELP-PEG) Hydrogels with Improved Transparency and Independent Control of Matrix Mechanics and Cell Ligand Density , 2014, Biomacromolecules.

[26]  Juan C. del Álamo,et al.  Myosin II Is Essential for the Spatiotemporal Organization of Traction Forces during Cell Motility , 2010, Molecular biology of the cell.

[27]  M. Nugent,et al.  Extracellular Matrix Presentation Modulates Vascular Smooth Muscle Cell Mechanotransduction , 2012 .

[28]  Chelsey S Simmons,et al.  Formation of composite polyacrylamide and silicone substrates for independent control of stiffness and strain. , 2013, Lab on a chip.

[29]  Andrés J. García,et al.  Quantitative analyses of cell adhesion strength. , 2007, Methods in molecular biology.

[30]  M. Sheetz,et al.  Local force and geometry sensing regulate cell functions , 2006, Nature Reviews Molecular Cell Biology.

[31]  D. Ambrosi,et al.  Cellular Traction as an Inverse Problem , 2006, SIAM J. Appl. Math..

[32]  W. H. Reid,et al.  The Theory of Elasticity , 1960 .

[33]  J. Takagi Structural basis for ligand recognition by RGD (Arg-Gly-Asp)-dependent integrins. , 2004, Biochemical Society transactions.

[34]  Thomas Ludwig,et al.  Interdependency of cell adhesion, force generation and extracellular proteolysis in matrix remodeling , 2011, Journal of Cell Science.

[35]  F. Grinnell,et al.  Fibroblast-collagen-matrix contraction: growth-factor signalling and mechanical loading. , 2000, Trends in cell biology.

[36]  Taekjip Ha,et al.  Measuring mechanical tension across vinculin reveals regulation of focal adhesion dynamics , 2010, Nature.

[37]  M. C. Tracey,et al.  Mechanical characterization of bulk Sylgard 184 for microfluidics and microengineering , 2014 .

[38]  Pascal Hersen,et al.  Biophysics: Push it, pull it , 2011, Nature.

[39]  J. Fredberg,et al.  Fluidization and Resolidification of the Human Bladder Smooth Muscle Cell in Response to Transient Stretch , 2010, PloS one.

[40]  J. Brenton,et al.  Complex Stiffness Gradient Substrates for Studying Mechanotactic Cell Migration , 2012, Advanced materials.

[41]  M. Oyen,et al.  Mechanical characterisation of hydrogel materials , 2014 .

[42]  Clare M Waterman,et al.  High-resolution traction force microscopy. , 2014, Methods in cell biology.

[43]  Jianping Fu,et al.  Elastomeric microposts integrated into microfluidics for flow-mediated endothelial mechanotransduction analysis. , 2012, Lab on a chip.

[44]  P. Tracqui,et al.  Optimization of poly-di-methyl-siloxane (PDMS) substrates for studying cellular adhesion and motility , 2008 .

[45]  Viola Vogel,et al.  Macrophages lift off surface-bound bacteria using a filopodium-lamellipodium hook-and-shovel mechanism , 2013, Scientific Reports.

[46]  Wesley R. Legant,et al.  Measurement of mechanical tractions exerted by cells in three-dimensional matrices , 2010, Nature Methods.

[47]  M. Textor,et al.  single cells{ , 2007 .

[48]  J. Y. Sim,et al.  Oxidation stiffening of PDMS microposts , 2015 .

[49]  E. Gentleman,et al.  The role of material structure and mechanical properties in cell-matrix interactions. , 2014, Journal of materials chemistry. B.

[50]  Shawn P. Carey,et al.  Quantifying traction stresses in adherent cells. , 2012, Methods in cell biology.

[51]  Sangyoon J. Han,et al.  Decoupling substrate stiffness, spread area, and micropost density: a close spatial relationship between traction forces and focal adhesions. , 2012, Biophysical journal.

[52]  Denis Wirtz,et al.  The physics of cancer: the role of physical interactions and mechanical forces in metastasis , 2011, Nature Reviews Cancer.

[53]  Manuel Théry,et al.  A new micropatterning method of soft substrates reveals that different tumorigenic signals can promote or reduce cell contraction levels. , 2011, Lab on a chip.

[54]  Wesley R. Legant,et al.  Multidimensional traction force microscopy reveals out-of-plane rotational moments about focal adhesions , 2012, Proceedings of the National Academy of Sciences.

[55]  M. Théry,et al.  Polyacrylamide hydrogel micropatterning. , 2014, Methods in cell biology.

[56]  M Cristina Marchetti,et al.  Geometry regulates traction stresses in adherent cells. , 2014, Biophysical journal.

[57]  Sean P. Palecek,et al.  Effects of Substrate Mechanics on Contractility of Cardiomyocytes Generated from Human Pluripotent Stem Cells , 2012, International journal of cell biology.

[58]  Keekyoung Kim,et al.  Sacrificial layer technique for axial force post assay of immature cardiomyocytes , 2013, Biomedical microdevices.

[59]  Mingming Wu,et al.  Effects of gel thickness on microscopic indentation measurements of gel modulus. , 2011, Biophysical journal.

[60]  Wei Lu,et al.  Live-cell subcellular measurement of cell stiffness using a microengineered stretchable micropost array membrane. , 2012, Integrative biology : quantitative biosciences from nano to macro.

[61]  Kristi S. Anseth,et al.  Fundamental studies of a novel, biodegradable PEG-b-PLA hydrogel , 2000 .

[62]  K. V. Van Vliet,et al.  Probing mechanical properties of fully hydrated gels and biological tissues. , 2008, Journal of biomechanics.

[63]  Xin Tang,et al.  A Novel Cell Traction Force Microscopy to Study Multi-Cellular System , 2014, PLoS Comput. Biol..

[64]  Mark Van Dyke,et al.  Biomimetic approaches to modulate cellular adhesion in biomaterials: A review. , 2013, Acta biomaterialia.

[65]  P. Ducheyne,et al.  Self-Assembled Monolayers Of Omega-Functional Silanes: A Platform For Understanding Cellular Adhesion At The Molecular Level , 2007 .

[66]  R. Vasita,et al.  Improved biomaterials for tissue engineering applications: surface modification of polymers. , 2008, Current topics in medicinal chemistry.

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

[68]  Christian Franck,et al.  Three-Dimensional Traction Force Microscopy: A New Tool for Quantifying Cell-Matrix Interactions , 2011, PloS one.

[69]  Matthew J. Paszek,et al.  Balancing forces: architectural control of mechanotransduction , 2011, Nature Reviews Molecular Cell Biology.

[70]  Jenneke Klein-Nulend,et al.  Shear stress inhibits while disuse promotes osteocyte apoptosis. , 2004, Biochemical and biophysical research communications.

[71]  B. Pruitt,et al.  Hydrogel crosslinking density regulates temporal contractility of human embryonic stem cell-derived cardiomyocytes in 3D cultures. , 2012, Soft matter.

[72]  A. Hirao,et al.  Precise Synthesis of Block Polymers Composed of Three or More Blocks by Specially Designed Linking Methodologies in Conjunction with Living Anionic Polymerization System , 2013 .

[73]  N. Balaban,et al.  Calculation of forces at focal adhesions from elastic substrate data: the effect of localized force and the need for regularization. , 2002, Biophysical journal.

[74]  Viola Vogel,et al.  The Yin-Yang of Rigidity Sensing: How Forces and Mechanical Properties Regulate the Cellular Response to Materials , 2013 .

[75]  K. Beningo,et al.  Fc-receptor-mediated phagocytosis is regulated by mechanical properties of the target. , 2002, Journal of cell science.

[76]  Sung-Jin Park,et al.  MEMS-based shear characterization of soft hydrated samples , 2013, Journal of micromechanics and microengineering : structures, devices, and systems.

[77]  Henry Hess,et al.  Materials chemistry challenges in the design of hybrid bionanodevices: supporting protein function within artificial environments , 2007 .

[78]  Corey P. Neu,et al.  Handbook of Imaging in Biological Mechanics , 2014 .

[79]  Jianping Fu,et al.  Assaying stem cell mechanobiology on microfabricated elastomeric substrates with geometrically modulated rigidity , 2011, Nature Protocols.

[80]  Christopher S. Chen,et al.  Microcontact printing: A tool to pattern. , 2007, Soft matter.

[81]  V. Hytönen,et al.  Protein conformation as a regulator of cell-matrix adhesion. , 2014, Physical chemistry chemical physics : PCCP.

[82]  D. Mckenzie,et al.  The Vroman effect: competitive protein exchange with dynamic multilayer protein aggregates. , 2013, Colloids and surfaces. B, Biointerfaces.

[83]  Viola Vogel,et al.  Spatial distribution of cell–cell and cell–ECM adhesions regulates force balance while maintaining E-cadherin molecular tension in cell pairs , 2015, Molecular biology of the cell.

[84]  Jennie B. Leach,et al.  Extracellular Matrix , 2015, Neuromethods.

[85]  Zhigang Suo,et al.  From macro- to microscale poroelastic characterization of polymeric hydrogels via indentation , 2012 .

[86]  W. Huck,et al.  Surface modification of PDMS via self-organization of vinyl-terminated small molecules , 2009 .

[87]  Michel Labouesse,et al.  A tension-induced mechanotransduction pathway promotes epithelial morphogenesis , 2011, Nature.

[88]  Lei Cai,et al.  One-pot Synthesis of Elastin-like Polypeptide Hydrogels with Grafted VEGF-Mimetic Peptides. , 2014, Biomaterials science.

[89]  Mark W. Tibbitt,et al.  Responsive culture platform to examine the influence of microenvironmental geometry on cell function in 3D. , 2012, Integrative biology : quantitative biosciences from nano to macro.

[90]  J. Burdick,et al.  Hydrogels with differential and patterned mechanics to study stiffness-mediated myofibroblastic differentiation of hepatic stellate cells. , 2014, Journal of the mechanical behavior of biomedical materials.

[91]  Yu Suk Choi,et al.  Interplay of Matrix Stiffness and Protein Tethering in Stem Cell Differentiation , 2014, Nature materials.

[92]  Sean P Sheehy,et al.  Myocyte shape regulates lateral registry of sarcomeres and contractility. , 2012, The American journal of pathology.

[93]  Robert W Style,et al.  Traction force microscopy in physics and biology. , 2014, Soft matter.

[94]  Christian Franck,et al.  3D Viscoelastic traction force microscopy. , 2014, Soft matter.

[95]  Soumen Das,et al.  Study of hydrophilicity and stability of chemically modified PDMS surface using piranha and KOH solution , 2012 .

[96]  R. Bashir,et al.  How far cardiac cells can see each other mechanically , 2011 .

[97]  Roger D Kamm,et al.  Microfluidic platforms for mechanobiology. , 2013, Lab on a chip.

[98]  Micah Dembo,et al.  Traction force microscopy in Dictyostelium reveals distinct roles for myosin II motor and actin-crosslinking activity in polarized cell movement , 2007, Journal of Cell Science.

[99]  Kristi S. Anseth,et al.  Mechanical memory and dosing influence stem cell fate , 2014, Nature materials.

[100]  Roger R Markwald,et al.  Cardiac fibrosis in mice with hypertrophic cardiomyopathy is mediated by non-myocyte proliferation and requires Tgf-β. , 2010, The Journal of clinical investigation.

[101]  Philippa T. K. Saunders,et al.  Edinburgh Research Explorer Selective ablation of the androgen receptor in mouse sertoli cells affects sertoli cell maturation, barrier formation and cytoskeletal development , 2022 .

[102]  Murat Guvendiren,et al.  Stiffening hydrogels to probe short- and long-term cellular responses to dynamic mechanics , 2012, Nature Communications.

[103]  Jay D. Humphrey,et al.  Mechanotransduction and extracellular matrix homeostasis , 2014, Nature Reviews Molecular Cell Biology.

[104]  J. Lammerding,et al.  Nuclear Shape, Mechanics, and Mechanotransduction , 2008, Circulation research.

[105]  Liwei Lin,et al.  Unidirectional mechanical cellular stimuli via micropost array gradients , 2011 .

[106]  Shu Chien,et al.  Roles of cell confluency and fluid shear in 3-dimensional intracellular forces in endothelial cells , 2012, Proceedings of the National Academy of Sciences.

[107]  Jason A Burdick,et al.  Hydrolytically degradable hyaluronic acid hydrogels with controlled temporal structures. , 2008, Biomacromolecules.

[108]  Yuejun Kang,et al.  Surface chemical modification of poly(dimethylsiloxane) for the enhanced adhesion and proliferation of mesenchymal stem cells. , 2013, ACS applied materials & interfaces.

[109]  Ken Jacobson,et al.  Bulk and micropatterned conjugation of extracellular matrix proteins to characterized polyacrylamide substrates for cell mechanotransduction assays. , 2005, BioTechniques.

[110]  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.

[111]  Aranzazu del Campo,et al.  Fabrication approaches for generating complex micro- and nanopatterns on polymeric surfaces. , 2008, Chemical reviews.

[112]  David J Mooney,et al.  Controlling alginate gel degradation utilizing partial oxidation and bimodal molecular weight distribution. , 2005, Biomaterials.

[113]  J. Michaelis,et al.  Single-molecule measurement of the strength of a siloxane bond. , 2008, Langmuir : the ACS journal of surfaces and colloids.

[114]  Michelle L. Oyen,et al.  Viscoelastic and poroelastic mechanical characterization of hydrated gels , 2009 .

[115]  Guixue Wang,et al.  Substrate stiffness regulates the proliferation, migration, and differentiation of epidermal cells. , 2012, Burns : journal of the International Society for Burn Injuries.

[116]  Kristi S. Anseth,et al.  Photodegradable, Photoadaptable Hydrogels via Radical-Mediated Disulfide Fragmentation Reaction , 2011, Macromolecules.

[117]  D. G. T. Strange,et al.  Extracellular-matrix tethering regulates stem-cell fate. , 2012, Nature materials.

[118]  D. Radisky,et al.  Extracellular matrix proteins regulate epithelial-mesenchymal transition in mammary epithelial cells. , 2013, Differentiation; research in biological diversity.

[119]  Mark Bachman,et al.  Covalent micropatterning of poly(dimethylsiloxane) by photografting through a mask. , 2005, Analytical chemistry.

[120]  C H Streuli,et al.  Laminin mediates tissue-specific gene expression in mammary epithelia , 1995, The Journal of cell biology.

[121]  Miss A.O. Penney (b) , 1974, The New Yale Book of Quotations.

[122]  Kevin Kit Parker,et al.  Cooperative coupling of cell-matrix and cell–cell adhesions in cardiac muscle , 2012, Proceedings of the National Academy of Sciences.

[123]  Byoung Choul Kim,et al.  Defined topologically-complex protein matrices to manipulate cell shape via three-dimensional fiber-like patterns. , 2014, Lab on a chip.

[124]  Michael T Longaker,et al.  Soft tissue mechanotransduction in wound healing and fibrosis. , 2012, Seminars in cell & developmental biology.

[125]  Kenneth M. Yamada,et al.  Taking Cell-Matrix Adhesions to the Third Dimension , 2001, Science.

[126]  J. Y. Sim,et al.  Integrated strain array for cellular mechanobiology studies , 2011, Journal of micromechanics and microengineering : structures, devices, and systems.

[127]  G. Lajoie,et al.  Matrigel: A complex protein mixture required for optimal growth of cell culture , 2010, Proteomics.

[128]  S. Roseman,et al.  Adhesion of chicken hepatocytes to polyacrylamide gels derivatized with N-acetylglucosamine. , 1978, The Journal of biological chemistry.

[129]  Diego Mantovani,et al.  Tailoring Mechanical Properties of Collagen-Based Scaffolds for Vascular Tissue Engineering: The Effects of pH, Temperature and Ionic Strength on Gelation , 2010 .

[130]  Chang Liu,et al.  Re-configurable fluid circuits by PDMS elastomer micromachining , 1999, Technical Digest. IEEE International MEMS 99 Conference. Twelfth IEEE International Conference on Micro Electro Mechanical Systems (Cat. No.99CH36291).

[131]  H. Weetall,et al.  Preparation of immobilized proteins covalently coupled through silane coupling agents to inorganic supports , 1993, Applied biochemistry and biotechnology.

[132]  N. Gavara,et al.  Mapping cell-matrix stresses during stretch reveals inelastic reorganization of the cytoskeleton. , 2008, Biophysical journal.

[133]  P. Janmey,et al.  Tissue Cells Feel and Respond to the Stiffness of Their Substrate , 2005, Science.

[134]  Xinzeng Feng,et al.  Toward single cell traction microscopy within 3D collagen matrices. , 2013, Experimental cell research.

[135]  P. Roach,et al.  Modern biomaterials: a review—bulk properties and implications of surface modifications , 2007, Journal of materials science. Materials in medicine.

[136]  M. Gardel,et al.  Regulation of cell motile behavior by crosstalk between cadherin- and integrin-mediated adhesions , 2010, Proceedings of the National Academy of Sciences.

[137]  Victor K. Lai,et al.  Mechanical behavior of collagen-fibrin co-gels reflects transition from series to parallel interactions with increasing collagen content. , 2012, Journal of biomechanical engineering.

[138]  Christopher A Hunter,et al.  Measuring traction forces of motile dendritic cells on micropost arrays. , 2011, Biophysical journal.

[139]  Jean-Jacques Meister,et al.  The covalent attachment of adhesion molecules to silicone membranes for cell stretching applications. , 2009, Biomaterials.

[140]  A Muñoz-Barrutia,et al.  Validation tool for traction force microscopy , 2015, Computer methods in biomechanics and biomedical engineering.

[141]  M. Bissell,et al.  Extracellular matrix, nuclear and chromatin structure, and gene expression in normal tissues and malignant tumors: a work in progress. , 2006, Advances in cancer research.

[142]  Adam J Engler,et al.  Preparation of Hydrogel Substrates with Tunable Mechanical Properties , 2010, Current protocols in cell biology.

[143]  Paul A. Menter,et al.  Acrylamide Polymerization — A Practical Approach , 2000 .

[144]  Thomas Ludwig,et al.  Interdependency of cell adhesion, force generation and extracellular proteolysis in matrix remodeling , 2011, Development.

[145]  E. Ashley,et al.  Stable, Covalent Attachment of Laminin to Microposts Improves the Contractility of Mouse Neonatal Cardiomyocytes , 2014, ACS applied materials & interfaces.

[146]  Christopher S. Chen,et al.  Mechanotransduction in development: a growing role for contractility , 2009, Nature Reviews Molecular Cell Biology.

[147]  H Delanoë-Ayari,et al.  4D traction force microscopy reveals asymmetric cortical forces in migrating Dictyostelium cells. , 2010, Physical review letters.

[148]  N. Voelcker,et al.  Recent developments in PDMS surface modification for microfluidic devices , 2010, Electrophoresis.

[149]  A. Dunn,et al.  Molecular tension sensors report forces generated by single integrin molecules in living cells. , 2013, Nano letters.

[150]  D. Senger,et al.  Matrix‐specific activation of Src and Rho initiates capillary morphogenesis of endothelial cells , 2004, FASEB journal : official publication of the Federation of American Societies for Experimental Biology.

[151]  Thomas Boudou,et al.  A hitchhiker's guide to mechanobiology. , 2011, Developmental cell.

[152]  D. Rodbard,et al.  Polyacrylamide Gel Electrophoresis , 2004 .

[153]  Jason A Burdick,et al.  Moving from static to dynamic complexity in hydrogel design , 2012, Nature Communications.

[154]  Toshihiro Akaike,et al.  Application of Recombinant Fusion Proteins for Tissue Engineering , 2010, Annals of Biomedical Engineering.

[155]  Christian Franck,et al.  High Resolution, Large Deformation 3D Traction Force Microscopy , 2014, PloS one.

[156]  Valerie M. Weaver,et al.  A tense situation: forcing tumour progression , 2009, Nature Reviews Cancer.

[157]  Andrew K. Capulli,et al.  Combining Dynamic Stretch and Tunable Stiffness to Probe Cell Mechanobiology In Vitro , 2011, PloS one.

[158]  Manuel Théry,et al.  Measurement of cell traction forces with ImageJ. , 2015, Methods in cell biology.

[159]  Yu-Li Wang,et al.  The regulation of traction force in relation to cell shape and focal adhesions. , 2011, Biomaterials.

[160]  Keekyoung Kim,et al.  Calibrated micropost arrays for biomechanical characterisation of cardiomyocytes , 2011 .

[161]  R E Baier,et al.  Surface properties determine bioadhesive outcomes: methods and results. , 1984, Journal of biomedical materials research.

[162]  Christopher S. Chen,et al.  Cells lying on a bed of microneedles: An approach to isolate mechanical force , 2003, Proceedings of the National Academy of Sciences of the United States of America.

[163]  M. Rief,et al.  How strong is a covalent bond? , 1999, Science.

[164]  Jeffrey J. Gray,et al.  The interaction of proteins with solid surfaces. , 2004, Current opinion in structural biology.

[165]  Ching-Wei Chang,et al.  Vinculin tension distributions of individual stress fibers within cell–matrix adhesions , 2013, Journal of Cell Science.

[166]  Beth L. Pruitt,et al.  E-cadherin is under constitutive actomyosin-generated tension that is increased at cell–cell contacts upon externally applied stretch , 2012, Proceedings of the National Academy of Sciences.

[167]  B. Alberts,et al.  Molecular Biology of the Cell (Fifth Edition) , 2008 .

[168]  K. Nechvíle The High Resolution , 2005 .

[169]  H. Worman,et al.  How do mutations in lamins A and C cause disease? , 2004, The Journal of clinical investigation.

[170]  Bryan A. Baker,et al.  Tailoring the mechanical properties of polyacrylamide-based hydrogels , 2010 .

[171]  Bharat Bhushan,et al.  Bioadhesion: a review of concepts and applications , 2012, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[172]  Long Dang,et al.  University of South Florida , 2007 .

[173]  K. Anseth,et al.  Hydrogel scaffolds to study cell biology in four dimensions. , 2013, MRS bulletin.

[174]  Jeffrey R Capadona,et al.  Polymer brushes and self-assembled monolayers: Versatile platforms to control cell adhesion to biomaterials (Review) , 2009, Biointerphases.

[175]  Yu Sun,et al.  Microfabricated arrays for high-throughput screening of cellular response to cyclic substrate deformation. , 2010, Lab on a chip.

[176]  A. Levchenko,et al.  Microengineered platforms for cell mechanobiology. , 2009, Annual review of biomedical engineering.

[177]  S. Timoshenko,et al.  Theory of elasticity , 1975 .

[178]  Shawn P. Carey,et al.  Single cell-mediated collagen reorganization in 3D matrices , 2011, 2011 Annual International Conference of the IEEE Engineering in Medicine and Biology Society.

[179]  F. Secundo,et al.  Conformational changes of enzymes upon immobilisation. , 2013, Chemical Society reviews.

[180]  Joe Tien,et al.  Repositioning of cells by mechanotaxis on surfaces with micropatterned Young's modulus. , 2003, Journal of biomedical materials research. Part A.

[181]  Celeste M Nelson,et al.  Mapping of mechanical strains and stresses around quiescent engineered three-dimensional epithelial tissues. , 2012, Biophysical journal.

[182]  P. Hersen,et al.  Strength dependence of cadherin-mediated adhesions. , 2010, Biophysical journal.

[183]  Jeffrey J. Fredberg,et al.  Reinforcement versus Fluidization in Cytoskeletal Mechanoresponsiveness , 2009, PloS one.

[184]  Robert P. Jenkins,et al.  Mechano-transduction and YAP-dependent matrix remodelling is required for the generation and maintenance of cancer associated fibroblasts , 2013, Nature Cell Biology.

[185]  P. Sharma Mechanics of materials. , 2010, Technology and health care : official journal of the European Society for Engineering and Medicine.

[186]  Mingming Wu,et al.  Mapping three-dimensional stress and strain fields within a soft hydrogel using a fluorescence microscope. , 2012, Biophysical journal.

[187]  Clare M Waterman,et al.  High resolution traction force microscopy based on experimental and computational advances. , 2008, Biophysical journal.

[188]  Jan Lammerding,et al.  Mechanotransduction gone awry , 2009, Nature Reviews Molecular Cell Biology.

[189]  Ben Fabry,et al.  Traction fields, moments, and strain energy that cells exert on their surroundings. , 2002, American journal of physiology. Cell physiology.

[190]  R. Kamm,et al.  Mechanotransduction in Cardiac Myocytes , 2004, Annals of the New York Academy of Sciences.

[191]  Y. Wang,et al.  Preparation of a flexible, porous polyacrylamide substrate for mechanical studies of cultured cells. , 1998, Methods in enzymology.

[192]  J Bercoff,et al.  In vivo breast tumor detection using transient elastography. , 2003, Ultrasound in medicine & biology.

[193]  A. Groisman,et al.  Measurements of Elastic Moduli of Silicone Gel Substrates with a Microfluidic Device , 2011, PloS one.

[194]  Alberto Aliseda,et al.  Spatio-temporal analysis of eukaryotic cell motility by improved force cytometry , 2007, Proceedings of the National Academy of Sciences.

[195]  Micah Dembo,et al.  Rho mediates the shear-enhancement of endothelial cell migration and traction force generation. , 2004, Biophysical journal.

[196]  Jason A Burdick,et al.  Synthesis and orthogonal photopatterning of hyaluronic acid hydrogels with thiol-norbornene chemistry. , 2013, Biomaterials.