A mechanobiologically equilibrated constrained mixture model for growth and remodeling of soft tissues
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| dc.contributor.author | Latorre, Marcos
|
es_ES |
| dc.contributor.author | Humphrey, Jay D.
|
es_ES |
| dc.date.accessioned | 2023-01-26T19:01:39Z | |
| dc.date.available | 2023-01-26T19:01:39Z | |
| dc.date.issued | 2018-12 | es_ES |
| dc.identifier.issn | 0044-2267 | es_ES |
| dc.identifier.uri | http://hdl.handle.net/10251/191470 | |
| dc.description.abstract | [EN] Growth and remodeling of soft tissues is a dynamic process and several theoretical frameworks have been developed to analyze the time-dependent, mechanobiological and/or biomechanical responses of these tissues to changes in external loads. Importantly, general processes can often be conveniently separated into truly non-steady contributions and steady-state ones. Depending on characteristic times over which the external loads are applied, time-dependent models can sometimes be specialized to respective time-independent formulations that simplify the mathematical treatment without compromising the goodness of the particularized solutions. Very few studies have analyzed the long-term, steady-state responses of soft tissue growth and remodeling following a direct approach. Here, we derive a mechanobiologically equilibrated formulation that arises from a general constrained mixture model. We see that integral-type evolution equations that characterize these general models can be written in terms of an equivalent set of time-independent, nonlinear algebraic equations that can be solved efficiently to yield long-term outcomes of growth and remodeling processes in response to sustained external stimuli. We discuss the mathematical conditions, in terms of orders of magnitude, that yield the particularized equations and illustrate results numerically for general arterial mechano-adaptations. | es_ES |
| dc.description.sponsorship | Universidad Politecnica de Madrid; Ministerio de Educacion, Cultura y Deporte of Spain, Grant/Award Number: CAS17/00068; Ministerio de Economia y Competitividad of Spain, Grant/Award Number: DPI2015-69801-R; National Institutes of Health, Grant/Award Numbers: R01HL086418, R01HL105297, R01HL128602, U01HL116323 | es_ES |
| dc.language | Inglés | es_ES |
| dc.publisher | John Wiley & Sons | es_ES |
| dc.relation.ispartof | Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik | es_ES |
| dc.rights | Reserva de todos los derechos | es_ES |
| dc.subject | Adaptation | es_ES |
| dc.subject | Arteries | es_ES |
| dc.subject | Long-term response | es_ES |
| dc.subject | Mechanobiological equilibrium | es_ES |
| dc.subject | Stress | es_ES |
| dc.title | A mechanobiologically equilibrated constrained mixture model for growth and remodeling of soft tissues | es_ES |
| dc.type | Artículo | es_ES |
| dc.identifier.doi | 10.1002/zamm.201700302 | es_ES |
| dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//DPI2015-69801-R/ES/MODELADO Y SIMULACION DEL COMPORTAMIENTO MECANICO DE MATERIALES BLANDOS ANISOTROPOS EN GRANDES DEFORMACIONES/ | es_ES |
| dc.relation.projectID | info:eu-repo/grantAgreement/MECD//CAS17%2F00068//Estancias de movilidad en el extranjero «José Castillejo» para jóvenes doctores/ | es_ES |
| dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//DPI2015-69801-R//Modelado y simulación del comportamiento mecánico de materiales blandos anisótropos en grandes deformaciones/ | es_ES |
| dc.relation.projectID | info:eu-repo/grantAgreement/NIH//R01 HL086418//Biomechanical Simulation of Evolving Aortic Aneurysms for Designing Intervention/ | es_ES |
| dc.relation.projectID | info:eu-repo/grantAgreement/NIH//U01 HL116323//Multiscale, Multiphysics Model of Thrombus Biomechanics in Aortic Dissection/ | es_ES |
| dc.relation.projectID | info:eu-repo/grantAgreement/NIH//R01 HL105297//Mechanisms Underlying the Progression of Arterial Stiffness in Hypertension/ | es_ES |
| dc.relation.projectID | info:eu-repo/grantAgreement/NIH//R01 HL128602//Computational Model Driven Design of Tissue Engineered Vascular Grafts/ | es_ES |
| dc.rights.accessRights | Abierto | es_ES |
| dc.description.bibliographicCitation | Latorre, M.; Humphrey, JD. (2018). A mechanobiologically equilibrated constrained mixture model for growth and remodeling of soft tissues. Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. 98(12):2048-2071. https://doi.org/10.1002/zamm.201700302 | es_ES |
| dc.description.accrualMethod | S | es_ES |
| dc.relation.publisherversion | https://doi.org/10.1002/zamm.201700302 | es_ES |
| dc.description.upvformatpinicio | 2048 | es_ES |
| dc.description.upvformatpfin | 2071 | es_ES |
| dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
| dc.description.volume | 98 | es_ES |
| dc.description.issue | 12 | es_ES |
| dc.identifier.pmid | 30618468 | es_ES |
| dc.identifier.pmcid | PMC6319907 | es_ES |
| dc.relation.pasarela | S\472084 | es_ES |
| dc.contributor.funder | National Institutes of Health, EEUU | es_ES |
| dc.contributor.funder | Ministerio de Economía y Competitividad | es_ES |
| dc.contributor.funder | Ministerio de Educación, Cultura y Deporte | es_ES |
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| dc.subject.ods | 03.- Garantizar una vida saludable y promover el bienestar para todos y todas en todas las edades | es_ES |
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