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  • Open Access


    Recovery of 3D Tractions Exerted by Cells on Fibrous Extracellular Matrices

    Dawei Song1,*, Nicholas Hugenberg2, Assad A Oberai1

    Molecular & Cellular Biomechanics, Vol.16, Suppl.2, pp. 45-45, 2019, DOI:10.32604/mcb.2019.07138

    Abstract Tractions exerted by cells on the extracellular matrix (ECM) are critical in many important physiological and pathological processes such as embryonic morphogenesis, cell migration, wound healing, and cancer metastasis. Traction Force Microscopy (TFM) is a robust tool to quantify cellular tractions during cell-matrix interactions. It works by measuring the motion of fiducial markers inside the ECM in response to cellular tractions and using this information to infer the traction field. Most applications of this technique have heretofore assumed that the ECM is homogeneous and isotropic [1], although the native ECM is typically composed of fibrous networks, and thus heterogeneous and… More >

  • Open Access


    Comparison of the Virtual Fields Method and the Optimization Method to Characterize Regional Variations in Material Properties of Soft Tissues

    Yue Mei1,2,3, Stephane Avril3,*

    Molecular & Cellular Biomechanics, Vol.16, Suppl.2, pp. 44-44, 2019, DOI:10.32604/mcb.2019.07034

    Abstract Characterizing regional variations of material properties in soft tissues is essential for biomedical engineering and clinical medicine, including but not limited to cancerous disease detection and patient-specific surgical planning of cardiovascular diseases. Identification of nonhomogeneous material property distribution usually requires solving inverse problems in nonlinear elasticity. Generally, inverse algorithms can be categorized into two groups: iterative inversion and direct inversion. In direct inversion, the material property distribution of soft tissues is estimated directly from the equilibrium equations, while the inverse problem is posed as an optimization problem in iterative inversion. In this presentation, we compare the performance of one direct… More >

  • Open Access


    Sensitivity of Eigen Value to Damage and Its Identification

    B.K.Raghuprasad1, N.Lakshmanan2, N.Gopalakrishnan2, K.Muthumani2

    Structural Durability & Health Monitoring, Vol.4, No.3, pp. 117-144, 2008, DOI:10.3970/sdhm.2008.004.117

    Abstract The reduction in natural frequencies, however small, of a civil engineering structure, is the first and the easiest method of estimating its impending damage. As a first level screening for health-monitoring, information on the frequency reduction of a few fundamental modes can be used to estimate the positions and the magnitude of damage in a smeared fashion. The paper presents the Eigen value sensitivity equations, derived from first-order perturbation technique, for typical infra-structural systems like a simply supported bridge girder, modelled as a beam, an end-bearing pile, modelled as an axial rod and a simply supported plate as a continuum… More >

  • Open Access


    A Deep Learning-Based Computational Algorithm for Identifying Damage Load Condition: An Artificial Intelligence Inverse Problem Solution for Failure Analysis

    Shaofei Ren1,2, Guorong Chen2 , Tiange Li2 , Qijun Chen2, Shaofan Li2, *

    CMES-Computer Modeling in Engineering & Sciences, Vol.117, No.3, pp. 287-307, 2018, DOI:10.31614/cmes.2018.04697

    Abstract In this work, we have developed a novel machine (deep) learning computational framework to determine and identify damage loading parameters (conditions) for structures and materials based on the permanent or residual plastic deformation distribution or damage state of the structure. We have shown that the developed machine learning algorithm can accurately and (practically) uniquely identify both prior static as well as impact loading conditions in an inverse manner, based on the residual plastic strain and plastic deformation as forensic signatures. The paper presents the detailed machine learning algorithm, data acquisition and learning processes, and validation/verification examples. This development may have… More >

  • Open Access


    An Iterative and Adaptive Lie-Group Method for Solving the Calderón Inverse Problem

    Chein-Shan Liu1, Satya N. Atluri2

    CMES-Computer Modeling in Engineering & Sciences, Vol.64, No.3, pp. 299-326, 2010, DOI:10.3970/cmes.2010.064.299

    Abstract We solve the Calderón inverse conductivity problem [Calderón (1980, 2006)], for an elliptic type equation in a rectangular plane domain, to recover an unknown conductivity function inside the domain, from the over-specified Cauchy data on the bottom of the rectangle. The Calderón inverse problem exhibitsthree-fold simultaneous difficulties: ill-posedness of the inverse Cauchy problem, ill-posedness of the parameter identification, and no information inside the domain being available on the impedance function. In order to solve this problem, we discretize the whole domain into many sub-domains of finite strips, each with a small height. Thus the Calderón inverse problem is reduced to… More >

  • Open Access


    On the Solution of an Inverse Problem for an Integro-differential Transport Equation

    Ismet Gölgeleyen1

    CMES-Computer Modeling in Engineering & Sciences, Vol.64, No.1, pp. 71-90, 2010, DOI:10.3970/cmes.2010.064.071

    Abstract In this paper, the solvability conditions for an inverse problem for an integro-differential transport equation are obtained and a numerical approximation method based on the finite difference method is developed. A comparison between the numerical solution and the exact solution of the problem is presented. Experimental results show that proposed method is robust to data noises. More >

  • Open Access


    An Inverse Problem for the General Kinetic Equation and a Numerical Method

    Arif Amirov1, Fikret Gölgeleyen1, Ayten Rahmanova2

    The International Conference on Computational & Experimental Engineering and Sciences, Vol.12, No.4, pp. 125-136, 2009, DOI:10.3970/icces.2009.012.125

    Abstract This paper has two purposes. The first is to prove the existence and uniqueness of the solution of an inverse problem for the general linear kinetic equation with a scattering term. The second one is to develop a numerical approximation method for the solution of this inverse problem for two dimensional case using finite difference method. More >

  • Open Access


    Solvability of a Plane Integral Geometry Problem\ and a Solution Algorithm

    Arif Amirov1, Mustafa Yildiz1, Zekeriya Ustaoglu1

    The International Conference on Computational & Experimental Engineering and Sciences, Vol.12, No.4, pp. 115-124, 2009, DOI:10.3970/icces.2009.012.115

    Abstract In this work we deal with solvability and aproximation to the solution of the two dimensional integral geometry problem for a family of regular curves of given curvature. Solvability of the problem is proved by using the Galerkin method and an algorithm is developed to compute the approximate solution of the problem. More >

  • Open Access


    On the solution of a coefficient inverse problem for the non-stationary kinetic equation

    Mustafa Yildiz1

    The International Conference on Computational & Experimental Engineering and Sciences, Vol.12, No.3, pp. 103-110, 2009, DOI:10.3970/icces.2009.012.103

    Abstract The solvability conditions of an inverse problem for the non-stationary kinetic equation is formulated and a new numerical method is developed to obtain the approximate solution of the problem. A comparison between the approximate solution and the exact solution of the problem is presented. More >

  • Open Access


    Application of Numerical Methods to Elasticity Imaging

    Benjamin Castaneda, Juvenal Ormachea, Paul Rodríguez, Kevin J. Parker§

    Molecular & Cellular Biomechanics, Vol.10, No.1, pp. 43-65, 2013, DOI:10.3970/mcb.2013.010.043

    Abstract Elasticity imaging can be understood as the intersection of the study of biomechanical properties, imaging sciences, and physics. It was mainly motivated by the fact that pathological tissue presents an increased stiffness when compared to surrounding normal tissue. In the last two decades, research on elasticity imaging has been an international and interdisciplinary pursuit aiming to map the viscoelastic properties of tissue in order to provide clinically useful information. As a result, several modalities of elasticity imaging, mostly based on ultrasound but also on magnetic resonance imaging and optical coherence tomography, have been proposed and applied to a number of… More >

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