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This study investigates the elastic response of a two-dimensional semi-infinite medium subjected to a moving surface load with a prescribed displacement profile. As a fundamental step, we derive analytical Green's functions for the…

Classical Physics · Physics 2026-04-23 Satoshi Takada , Yosuke Mori , Shintaro Hokada

Deformation modeling of cardiac muscle is an important issue in the field of cardiac analysis. For this reason, many approaches have been developed to best estimate the cardiac muscle deformation, and to obtain a practical model to use in…

Computational Engineering, Finance, and Science · Computer Science 2014-12-09 Ahmadreza Baghaie , Hamid Abrishami Moghaddam

Epithelial cell layers on soft elastic substrates or pillar arrays are commonly used as model systems for investigating the role of force in tissue growth, maintenance and repair. Here we show analytically that the experimentally observed…

Tissues and Organs · Quantitative Biology 2012-01-16 Carina M. Edwards , Ulrich S. Schwarz

Our understanding of the elasticity and rheology of disordered materials, such as granular piles, foams, emulsions or dense suspensions relies on improving experimental tools to characterize their behaviour at the particle scale. While 2D…

Soft Condensed Matter · Physics 2010-09-24 Mohammad Saadatfar , Adrian P. Sheppard , Tim J. Senden , Alexandre J. Kabla

Animal cells in tissues are supported by biopolymer matrices, which typically exhibit highly nonlinear mechanical properties. While the linear elasticity of the matrix can significantly impact cell mechanics and functionality, it remains…

Cardiac deformation is a crucial biomarker for the evaluation of cardiac function. Current methods for estimating cardiac strain might underestimate local deformation due to through-plane motion and segmental averaging. Mesh-based mapping…

Tissues and Organs · Quantitative Biology 2025-04-07 Beatrice Moscoloni , Patrick Segers , Mathias Peirlinck

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

Many animal cells change their shape depending on the stiffness of the substrate on which they are cultured: they assume small, rounded shapes in soft ECMs, they elongate within stiffer ECMs, and flatten out on hard substrates. Cells tend…

Cell Behavior · Quantitative Biology 2019-06-24 Elisabeth G. Rens , Roeland M. H. Merks

Cellular traction forces are conventionally measured by tracking the displacement of beads or micropillars, an approach fundamentally limited by optical diffraction and the classical Euler-Bernoulli beam assumption, which is accurate only…

Optics · Physics 2026-03-09 Linjie Ma , Bicong Wang , Tai Nam Yip , Yong Hou , Yuan Lin , Zhiqin Chu

Deformation modeling of cardiac muscle is an important issue in the field of cardiac analysis. Many approaches have been developed to better estimate the cardiac muscle deformation, and to obtain a practical model to be used in diagnostic…

Computational Engineering, Finance, and Science · Computer Science 2015-12-01 Ahmadreza Baghaie , Hamid Abrishami Moghaddam

Anchorage-dependent cells collect information on the mechanical properties of the environment through their contractile machineries and use this information to position and orient themselves. Since the probing process is anisotropic,…

Soft Condensed Matter · Physics 2007-05-23 I. B. Bischofs , S. A. Safran , U. S. Schwarz

Mechanical cues from the extracellular microenvironment play a central role in regulating the structure, function and fate of living cells. Nevertheless, the precise nature of the mechanisms and processes underlying this crucial cellular…

Biological Physics · Physics 2015-06-23 Ariel Livne , Eran Bouchbinder , Benjamin Geiger

This study presents a novel, versatile traction force microscopy framework for quantifying three-dimensional (3D) interfacial forces during bio-adhesion by integrating in situ stereo digital image correlation with finite element (FE)…

Instrumentation and Detectors · Physics 2026-01-09 Yingwei Hou , Fusheng Wang , Tao Liu

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

We have developed a novel scanning probe-based methodology to study cell biomechanics. The time dependence of the force exerted by the cell surface on a scanning probe at constant local deformation has been used to extract local…

Biological Physics · Physics 2009-04-20 Susana Moreno-Flores , Rafael Benitez , Maria dM Vivanco , Jose Luis Toca-Herrera

We apply a recently developed model of cytoskeletal force generation to study a cell intrinsic contractility, as well as its response to external loading. The model is based on a non-equilibrium thermodynamic treatment of the…

Subcellular Processes · Quantitative Biology 2015-06-19 Mirko Maraldi , Clara Valero , Krishna Garikipati

Biopolymer Networks play an important role in coordinating and regulating collective cellular dynamics via a number of signaling pathways. Here, we investigate the mechanical response of a model biopolymer network due to the active…

Soft Condensed Matter · Physics 2016-11-23 Long Liang , Christopher Jones , Bo Sun , Yang Jiao

The crawling motion of Dictyostelium discoideum on substrata involves a number of coordinated events including cell contractions and cell protrusions. The mechanical forces exerted on the substratum during these contractions have recently…

Biological Physics · Physics 2009-12-04 Mathias Buenemann , Herbert Levine , Wouter-Jan Rappel , Leonard M. Sander

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

The inverse mechano-electrical problem in cardiac electrophysiology is the attempt to reconstruct electrical excitation or action potential wave patterns from the heart's mechanical deformation that occurs in response to electrical…

Image and Video Processing · Electrical Eng. & Systems 2021-11-10 Jan Christoph , Jan Lebert