An orthotropic continuum model with substructure evolution for describing bone remodeling: an interpretation of the primary mechanism behind Wolff’s law
dc.contributor.author | Giorgio, Ivan | |
dc.contributor.author | dell’Isola, Francesco | |
dc.contributor.author | Andreaus, Ugo | |
dc.contributor.author | Misra, Anil | |
dc.date.accessioned | 2024-06-03T17:47:11Z | |
dc.date.available | 2024-06-03T17:47:11Z | |
dc.date.issued | 2023-08-05 | |
dc.identifier.citation | Giorgio I, dell'Isola F, Andreaus U, Misra A. An orthotropic continuum model with substructure evolution for describing bone remodeling: an interpretation of the primary mechanism behind Wolff's law. Biomech Model Mechanobiol. 2023 Dec;22(6):2135-2152. doi: 10.1007/s10237-023-01755-w. Epub 2023 Aug 5. PMID: 37542620; PMCID: PMC10613191 | en_US |
dc.identifier.uri | https://hdl.handle.net/1808/35089 | |
dc.description.abstract | We propose a variational approach that employs a generalized principle of virtual work to estimate both the mechanical response and the changes in living bone tissue during the remodeling process. This approach provides an explanation for the adaptive regulation of the bone substructure in the context of orthotropic material symmetry. We specifically focus upon the crucial gradual adjustment of bone tissue as a structural material that adapts its mechanical features, such as materials stiffnesses and microstructure, in response to the evolving loading conditions. We postulate that the evolution process relies on a feedback mechanism involving multiple stimulus signals. The mechanical and remodeling behavior of bone tissue is clearly a complex process that is difficult to describe within the framework of classical continuum theories. For this reason, a generalized continuum elastic theory is employed as a proper mathematical context for an adequate description of the examined phenomenon. To simplify the investigation, we considered a two-dimensional problem. Numerical simulations have been performed to illustrate bone evolution in a few significant cases: the bending of a rectangular cantilever plate and a three-point flexure test. The results are encouraging because they can replicate the optimization process observed in bone remodeling. The proposed model provides a likely distribution of stiffnesses and accurately represents the arrangement of trabeculae macroscopically described by the orthotropic symmetry directions, as supported by experimental evidence from the trajectorial theory. | en_US |
dc.publisher | Springer | en_US |
dc.rights | Copyright © The Author(s) 2023 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/. | en_US |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | en_US |
dc.subject | Bone functional adaptation | en_US |
dc.subject | Growth/resorption processes | en_US |
dc.subject | Bone remodeling | en_US |
dc.subject | Orthotropic constitutive law | en_US |
dc.subject | Variational formulation | en_US |
dc.title | An orthotropic continuum model with substructure evolution for describing bone remodeling: an interpretation of the primary mechanism behind Wolff’s law | en_US |
dc.type | Article | en_US |
kusw.kuauthor | Misra, Anil | |
kusw.kudepartment | Civil, Environmental and Architectural Engineering Department | en_US |
dc.identifier.doi | 10.1007/s10237-023-01755-w | en_US |
kusw.oaversion | Scholarly/refereed, publisher version | en_US |
kusw.oapolicy | This item meets KU Open Access policy criteria. | en_US |
dc.identifier.pmid | PMC10613191 | en_US |
dc.rights.accessrights | openAccess | en_US |
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Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.