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    <subfield code="a">10.1371/journal.pone.0249018</subfield>
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    <subfield code="a">Hervás Raluy, Silvia</subfield>
    <subfield code="u">Universidad de Zaragoza</subfield>
    <subfield code="0">(orcid)0000-0001-8324-5596</subfield>
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    <subfield code="a">A new 3d finite element-based approach for computing cell surface tractions assuming nonlinear conditions</subfield>
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    <subfield code="c">2021</subfield>
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    <subfield code="a">Advances in methods for determining the forces exerted by cells while they migrate are essential for attempting to understand important pathological processes, such as cancer or angiogenesis, among others. Precise data from three-dimensional conditions are both difficult to obtain and manipulate. For this purpose, it is critical to develop workflows in which the experiments are closely linked to the subsequent computational postprocessing. The work presented here starts from a traction force microscopy (TFM) experiment carried out on microfluidic chips, and this experiment is automatically joined to an inverse problem solver that allows us to extract the traction forces exerted by the cell from the displacements of fluorescent beads embedded in the extracellular matrix (ECM). Therefore, both the reconstruction of the cell geometry and the recovery of the ECM displacements are used to generate the inputs for the resolution of the inverse problem. The inverse problem is solved iteratively by using the finite element method under the hypothesis of finite deformations and nonlinear material formulation. Finally, after mathematical postprocessing is performed, the traction forces on the surface of the cell in the undeformed configuration are obtained. Therefore, in this work, we demonstrate the robustness of our computational-based methodology by testing it under different conditions in an extreme theoretical load problem and then by applying it to a real case based on experimental results. In summary, we have developed a new procedure that adds value to existing methodologies for solving inverse problems in 3D, mainly by allowing for large deformations and not being restricted to any particular material formulation. In addition, it automatically bridges the gap between experimental images and mechanical computations.</subfield>
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    <subfield code="9">info:eu-repo/grantAgreement/EC/H2020/737543/EU/Image Analysis Online Services for in-vitro experiments/IMAGO</subfield>
    <subfield code="9">This project has received funding from the European Union’s Horizon 2020 research and innovation program under grant agreement No H2020 737543-IMAGO</subfield>
    <subfield code="9">info:eu-repo/grantAgreement/ES/MICINN/RTI2018-094494-B-C21</subfield>
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    <subfield code="c">2021</subfield>
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    <subfield code="a">Gómez Benito, María José</subfield>
    <subfield code="u">Universidad de Zaragoza</subfield>
    <subfield code="0">(orcid)0000-0002-1878-8997</subfield>
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    <subfield code="a">Borau Zamora, Carlos</subfield>
    <subfield code="u">Universidad de Zaragoza</subfield>
    <subfield code="0">(orcid)0000-0002-3784-1140</subfield>
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    <subfield code="a">Condor, Mar</subfield>
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  <datafield tag="700" ind1=" " ind2=" ">
    <subfield code="a">García Aznar, José Manuel</subfield>
    <subfield code="u">Universidad de Zaragoza</subfield>
    <subfield code="0">(orcid)0000-0002-9864-7683</subfield>
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    <subfield code="a">Universidad de Zaragoza</subfield>
    <subfield code="b">Dpto. Ingeniería Mecánica</subfield>
    <subfield code="c">Área Mec.Med.Cont. y Teor.Est.</subfield>
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    <subfield code="g">16, 4 (2021), e0249018 [19 pp.]</subfield>
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