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    Recovery of Tractions Exerted by Single Cells in Three-Dimensional Nonlinear Matrices

    Source: Journal of Biomechanical Engineering:;2020:;volume( 142 ):;issue: 008::page 081012-1
    Author:
    Song, Dawei
    ,
    Dong, Li
    ,
    Gupta, Mukund
    ,
    Li, Linqing
    ,
    Klaas, Ottmar
    ,
    Loghin, Adrian
    ,
    Beall, Mark
    ,
    Chen, Christopher S.
    ,
    Oberai, Assad A.
    DOI: 10.1115/1.4046974
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Cell-generated tractions play an important role in various physiological and pathological processes such as stem-cell differentiation, cell migration, wound healing, and cancer metastasis. Traction force microscopy (TFM) is a technique for quantifying cellular tractions during cell–matrix interactions. Most applications of this technique have heretofore assumed that the matrix surrounding the cells is linear elastic and undergoes infinitesimal strains, but recent experiments have shown that the traction-induced strains can be large (e.g., more than 50%). In this paper, we propose a novel three-dimensional (3D) TFM approach that consistently accounts for both the geometric nonlinearity introduced by large strains in the matrix, and the material nonlinearity due to strain-stiffening of the matrix. In particular, we pose the TFM problem as a nonlinear inverse hyperelasticity problem in the stressed configuration of the matrix, with the objective of determining the cellular tractions that are consistent with the measured displacement field in the matrix. We formulate the inverse problem as a constrained minimization problem and develop an efficient adjoint-based minimization procedure to solve it. We first validate our approach using simulated data, and quantify its sensitivity to noise. We then employ the new approach to recover tractions exerted by NIH 3T3 cells fully encapsulated in hydrogel matrices of varying stiffness. We find that neglecting nonlinear effects can induce significant errors in traction reconstructions. We also find that cellular tractions roughly increase with gel stiffness, while the strain energy appears to saturate.
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      Recovery of Tractions Exerted by Single Cells in Three-Dimensional Nonlinear Matrices

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    contributor authorSong, Dawei
    contributor authorDong, Li
    contributor authorGupta, Mukund
    contributor authorLi, Linqing
    contributor authorKlaas, Ottmar
    contributor authorLoghin, Adrian
    contributor authorBeall, Mark
    contributor authorChen, Christopher S.
    contributor authorOberai, Assad A.
    date accessioned2022-02-04T21:55:54Z
    date available2022-02-04T21:55:54Z
    date copyright7/6/2020 12:00:00 AM
    date issued2020
    identifier issn0148-0731
    identifier otherbio_142_08_081012.pdf
    identifier urihttp://yetl.yabesh.ir/yetl1/handle/yetl/4274552
    description abstractCell-generated tractions play an important role in various physiological and pathological processes such as stem-cell differentiation, cell migration, wound healing, and cancer metastasis. Traction force microscopy (TFM) is a technique for quantifying cellular tractions during cell–matrix interactions. Most applications of this technique have heretofore assumed that the matrix surrounding the cells is linear elastic and undergoes infinitesimal strains, but recent experiments have shown that the traction-induced strains can be large (e.g., more than 50%). In this paper, we propose a novel three-dimensional (3D) TFM approach that consistently accounts for both the geometric nonlinearity introduced by large strains in the matrix, and the material nonlinearity due to strain-stiffening of the matrix. In particular, we pose the TFM problem as a nonlinear inverse hyperelasticity problem in the stressed configuration of the matrix, with the objective of determining the cellular tractions that are consistent with the measured displacement field in the matrix. We formulate the inverse problem as a constrained minimization problem and develop an efficient adjoint-based minimization procedure to solve it. We first validate our approach using simulated data, and quantify its sensitivity to noise. We then employ the new approach to recover tractions exerted by NIH 3T3 cells fully encapsulated in hydrogel matrices of varying stiffness. We find that neglecting nonlinear effects can induce significant errors in traction reconstructions. We also find that cellular tractions roughly increase with gel stiffness, while the strain energy appears to saturate.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleRecovery of Tractions Exerted by Single Cells in Three-Dimensional Nonlinear Matrices
    typeJournal Paper
    journal volume142
    journal issue8
    journal titleJournal of Biomechanical Engineering
    identifier doi10.1115/1.4046974
    journal fristpage081012-1
    journal lastpage081012-19
    page19
    treeJournal of Biomechanical Engineering:;2020:;volume( 142 ):;issue: 008
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
    نرم افزار کتابخانه دیجیتال "دی اسپیس" فارسی شده توسط یابش برای کتابخانه های ایرانی | تماس با یابش
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