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Adherent biological cells generate traction forces on a substrate that play a central role for migration, mechanosensing, differentiation, and collective behavior. The established method for quantifying this cell-substrate interaction is…

Cell Behavior · Quantitative Biology 2020-05-05 Yunfei Huang , Gerhard Gompper , Benedikt Sabass

Traction Force Microscopy (TFM) is a technique used to determine the tensions that a biological cell conveys to the underlying surface. Typically, TFM requires culturing cells on gels with fluorescent beads, followed by bead displacement…

Image and Video Processing · Electrical Eng. & Systems 2019-10-17 Nicolas Pielawski , Jianjiang Hu , Staffan Strömblad , Carolina Wählby

We introduce a novel three-dimensional (3D) traction force microscopy (TFM) method motivated by the recent discovery that cells adhering on plane surfaces exert both in-plane and out-of-plane traction stresses. We measure the 3D deformation…

Traction force microscopy is a method widely used in biophysics and cell biology to determine forces that biological cells apply to their environment. In the experiment, the cells adhere to a soft elastic substrate, which is then deformed…

The measurement of cellular traction forces on soft elastic substrates has become a standard tool for many labs working on mechanobiology. Here we review the basic principles and different variants of this approach. In general, the…

Quantitative Methods · Quantitative Biology 2015-06-09 Ulrich S. Schwarz , Jerome R. D. Soine

Combining experiments with artificial intelligence algorithms, we propose a new machine learning based approach to extract the cellular force distributions from the microscope images. The full process can be divided into three steps. First,…

Traction Force Microscopy (TFM) computes the forces exerted at the surface of an elastic material by measuring induced deformations in volume. It is used to determine the pattern of the adhesion forces exerted by cells or by cellular…

Biological Physics · Physics 2018-02-09 Stanislav Makarchuk , Nicolas Beyer , Christian Gaiddon , Wilfried Grange , Pascal Hébraud

Animal cells use traction forces to sense the mechanics and geometry of their environment. Measuring these traction forces requires a workflow combining cell experiments, image processing and force reconstruction based on elasticity theory.…

Quantitative Methods · Quantitative Biology 2016-08-24 Jerome R. Soine , Nils Hersch , Georg Dreissen , Nico Hampe , Bernd Hoffmann , Rudolf Merkel , Ulrich S. Schwarz

Traction force microscopy (TFM) is a widely used technique for quantifying the forces that cells exert on their surrounding extracellular matrix. Although deep learning methods have recently been applied to TFM data analysis, several…

Computer Vision and Pattern Recognition · Computer Science 2026-03-17 Yunfei Huang , Elena Van der Vorst , Alexander Richard , Benedikt Sabass

The tractions that cells exert on a gel substrate from the observed displacements is an increasingly attractive and valuable information in biomedical experiments. The computation of these tractions requires in general the solution of an…

Computational Physics · Physics 2016-08-30 Jose J Munoz

We develop a method to reconstruct, from measured displacements of an underlying elastic substrate, the spatially dependent forces that cells or tissues impart on it. Given newly available high-resolution images of substrate displacements,…

Quantitative Methods · Quantitative Biology 2018-01-22 Joshua C. Chang , Yanli Liu , Tom Chou

Cells and tissues are constantly exposed to various chemical and physical signals that intricately regulate various physiological and pathological processes. This study explores the integration of two biophysical methods, Traction Force…

How cells move through the three-dimensional extracellular matrix (ECM) is of increasing interest in attempts to understand important biological processes such as cancer metastasis. Just as in motion on flat surfaces, it is expected that…

Biological Physics · Physics 2017-09-15 Yunsong Zhang , Jingchen Feng , Shay I. Heizler , Herbert Levine

Cells within biological tissue are constantly subjected to dynamic mechanical forces. Measuring the internal stress of tissues has proven crucial for our understanding of the role of mechanical forces in fundamental biological processes…

Quantitative Methods · Quantitative Biology 2025-12-02 L. Anger , A. Schoenit , F. Wodrascka , C. Rossé , R. M. Mège , B. Ladoux , P. Marcq

Numerous cell types relate to their immediate environment by exerting a three-dimensional pressure field on their environment, with components both longitudinal and transverse to the cell membrane. This pressure field can in principle be…

Soft Condensed Matter · Physics 2026-03-09 Quentin Bédel , Loïc Dupré , Nicolas Destainville

We combine traction force data with Bayesian inversion to obtain an absolute estimate of the internal stress field of a cell monolayer. The method, Bayesian inversion stress microscopy (BISM), is validated using numerical simulations…

Quantitative Methods · Quantitative Biology 2016-05-04 V. Nier , S. Jain , C. T. Lim , S. Ishihara , B. Ladoux , P. Marcq

The native structures of proteins, except for notable exceptions of intrinsically disordered proteins, in general take their most stable conformation in the physiological condition to maintain their structural framework so that their…

Biomolecules · Quantitative Biology 2021-10-26 Lyman Monroe , Daisuke Kihara

To understand cell migration, it is crucial to gain knowledge on how cells exert and integrate forces on/from their environment. A quantity of prime interest for biophysicists interested in cell movements modeling is the intracellular…

Cell Behavior · Quantitative Biology 2022-09-14 Hélène Delanoë-Ayari , Alice Nicolas

The development of traction-force microscopy, in the past two decades, has created the unprecedented opportunity of performing direct mechanical measurements on living cells as they adhere or crawl on uniform or micro-patterned substrates.…

Biological Physics · Physics 2019-10-25 Luca Giomi

One of the most intriguing results of single molecule experiments on proteins and nucleic acids is the discovery of functional heterogeneity: the observation that complex cellular machines exhibit multiple, biologically active…

Biomolecules · Quantitative Biology 2022-10-12 Michael Hinczewski , Changbong Hyeon , D. Thirumalai
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