dc.creator | Sanz Herrera, José Antonio | es |
dc.creator | Barrasa Fano, Jorge | es |
dc.creator | Cóndor, M. | es |
dc.creator | Van Oosterwyck, Hans | es |
dc.date.accessioned | 2022-10-03T15:06:51Z | |
dc.date.available | 2022-10-03T15:06:51Z | |
dc.date.issued | 2021-12 | |
dc.identifier.citation | Sanz Herrera, J.A., Barrasa Fano, J., Cóndor, M. y Van Oosterwyck, H. (2021). Inverse method based on 3D nonlinear physically constrained minimisation in the framework of traction force microscopy. Soft Matter, 17 (45), 10210-10222. https://doi.org/10.1039/d0sm00789g. | |
dc.identifier.issn | 1744-683X | es |
dc.identifier.uri | https://hdl.handle.net/11441/137570 | |
dc.description.abstract | Traction force microscopy is a methodology that enables to estimate cellular forces from the
measurement of the displacement field of an extracellular matrix (ECM)-mimicking hydrogel that a cell is
mechanically interacting with. In this paper, a new inverse and physically-consistent methodology is
developed and implemented in the context of 3D nonlinear elasticity. The proposed method searches
for a displacement field that approximates the measured one, through the imposition of fulfillment of
equilibrium with real and known forces acting in the hydrogel. The overall mathematical formulation
leads to a constrained optimisation problem that is treated through a Lagrange operator and that is
solved numerically by means of a nonlinear finite element framework. In order to illustrate the potential and
enhanced accuracy of the proposed inverse method, it is applied to a total of 5 different real cases of cells
cultured in a 3D hydrogel that is considered to behave as a nonlinear elastic material. Different error indicators
are defined in order to compare ground truth simulated displacements and tractions to the ones recovered by
the new inverse as well as by the forward method. Results indicate that the evaluation of displacement
gradients leads to errors, in terms of recovered tractions, that are more than three times lower (on average)
for the inverse method compared to the forward method. They highlight the enhanced accuracy of the
developed methodology and the importance of appropriate inverse methods that impose physical constraints
to traction and stress recovery in the context of traction force microscopy | es |
dc.description.sponsorship | Ministerio de Economía y Competitividad (MINECO). PGC2018-097257-B-C31 | es |
dc.description.sponsorship | Consejo Europeo de Resucitación 308223 | es |
dc.description.sponsorship | Consejo Europeo de Resucitación G087018N | es |
dc.description.sponsorship | Ministerio de Educación, Cultura y Deporte (MECD). España CAS17/00096 | es |
dc.description.sponsorship | Hércules G0H6316N | es |
dc.description.sponsorship | Fonds Wetenschappelijk Onderzoek (FWO) 12ZR120N | es |
dc.description.sponsorship | Fonds Wetenschappelijk Onderzoek (FWO) V413019N | es |
dc.format | application/pdf | es |
dc.format.extent | 13 p. | es |
dc.language.iso | eng | es |
dc.publisher | Royal Society of Chemistry | es |
dc.relation.ispartof | Soft Matter, 17 (45), 10210-10222. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Elasticity | es |
dc.subject | Extracellular Matrix | es |
dc.subject | Microscopy | es |
dc.subject | Atomic Force | es |
dc.subject | Traction | es |
dc.title | Inverse method based on 3D nonlinear physically constrained minimisation in the framework of traction force microscopy | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/acceptedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Mecánica de Medios Continuos y Teoría de Estructuras | es |
dc.relation.projectID | PGC2018-097257-B-C31 | es |
dc.relation.projectID | 308223 | es |
dc.relation.projectID | G087018N | es |
dc.relation.projectID | CAS17/00096 | es |
dc.relation.projectID | G0H6316N | es |
dc.relation.projectID | 12ZR120N | es |
dc.relation.projectID | V413019N | es |
dc.date.embargoEndDate | Diciembre 2022 | |
dc.relation.publisherversion | https://pubs.rsc.org/en/content/articlehtml/2021/sm/d0sm00789g | es |
dc.identifier.doi | 10.1039/d0sm00789g | es |
dc.journaltitle | Soft Matter | es |
dc.publication.volumen | 17 | es |
dc.publication.issue | 45 | es |
dc.publication.initialPage | 10210 | es |
dc.publication.endPage | 10222 | es |
dc.contributor.funder | Ministerio de Economía y Competitividad (MINECO) | es |
dc.contributor.funder | Consejo Europeo de Investigación | es |
dc.contributor.funder | Consejo Europeo de Resucitación | es |
dc.contributor.funder | Ministerio de Educación, Cultura y Deporte (MECD). España | es |
dc.contributor.funder | Fonds Wetenschappelijk Onderzoek (FWO) | es |
dc.contributor.funder | Hércules | es |