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An introduction to scaffold design using topology optimization methods

datacite.subject.fosCiências Naturais::Ciências Físicas
datacite.subject.sdg09:Indústria, Inovação e Infraestruturas
datacite.subject.sdg12:Produção e Consumo Sustentáveis
dc.contributor.authorMarxen, Jan Esquível
dc.contributor.authorCharters, T.
dc.contributor.authorLopes, Sérgio
dc.contributor.authorLopes, N. D.
dc.contributor.authorAlves, Nuno Manuel Fernandes
dc.contributor.authorPascoal-Faria, Paula
dc.date.accessioned2026-10-23T15:03:03Z
dc.date.available2026-10-23T15:03:03Z
dc.date.issued2023-09-01
dc.descriptionConference name - International Conference on Numerical Analysis and Applied Mathematics 2021, ICNAAM 2021; Conference date - 20 September 2021 - 26 September 2021; Conference code - 192641
dc.descriptionLink para o documento - https://www.researchgate.net/publication/373605625_An_introduction_to_scaffold_design_using_topology_optimization_methods
dc.description.abstractIn this text, the fundamentals of topology optimization (TO) are applied to trabecular bone's topology design, with the goal of then extrapolating their uses to bio-scaffold design for regenerative therapy. Total fragility bone fractures in the EU are estimated to increase from 2.7 million in 2017 to 3.3 million in 2030; a 23% increase. The resulting annual fracture-related costs (€37.5 billion in 2017) are expected to increase by 27%. An estimated 1.0 million quality-adjusted life years were lost in 2017 due to fragility fractures. The current disability-adjusted life years per 1000 individuals age 50 years or more were estimated at 21 years, which is higher than the estimates for stroke or chronic obstructive pulmonary disease (see [1]). Healing of bone fractures and reconstruction of critical-sized bone defects represent a significant challenge. With bone graft and synthetic material reconstruction techniques having their unfortunate limitations, bio-scaffolds came into play to get the best of both. Since scaffolds require very high porosity levels for osteoconductivity and must simultaneously bear a great amount of force occurring from the daily loads a patient experiences, structural analysis is indispensable to optimize their mechanical properties. Also, materials used for scaffold design are not as nearly as stiff as native bone, making optimization even more crucial. The Solid Isotropic Material with Penalization (SIMP) method for TO is quickly discussed and a perimeter constraint is introduced to impose porous-like structures in the design. Then, a topology optimization analysis is performed to mimic the trabecular architecture of a human's proximal femur. The femur's boundary conditions when it's subjected to daily gait are talked through. Lastly, an application to scaffold design is discussed.eng
dc.description.sponsorshipThis research is part of the project Stimuli2BioScaf-fold (Ref. POCI-01-0145-FEDER-032554) and OptiBioScaffold (Ref. PTDC/EME-SIS/4446/2020) co-financed by COMPETE2020 via PT2020 and supported by the Foundation for Science and Technology.
dc.identifier.citationJan Esquível Marxen, T. Charters, Sérgio Lopes, N. D. Lopes, Nuno Manuel Fernandes Alves, Paula Pascoal-Faria; An introduction to scaffold design using topology optimization methods. AIP Conf. Proc. 1 September 2023; 2849 (1): 150002. https://doi.org/10.1063/5.0162364.
dc.identifier.doi10.1063/5.0162364
dc.identifier.eissn1551-7616
dc.identifier.issn0094-243X
dc.identifier.urihttp://hdl.handle.net/10400.8/17125
dc.language.isoeng
dc.peerreviewedyes
dc.publisherAIP
dc.relationOptiBioScaffold: Stimuli optimization in bi-tissue scaffolds: from mathematical and computational modelling to experimental validation
dc.relation.hasversionhttps://pubs.aip.org/aip/acp/article/2849/1/150002/2909062/An-introduction-to-scaffold-design-using-topology
dc.relation.ispartofAIP Conference Proceedings
dc.relation.ispartofINTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2021
dc.rights.uriN/A
dc.subjectPorous media
dc.subjectMathematical optimization
dc.subjectTrabecular bone
dc.subjectFemur
dc.titleAn introduction to scaffold design using topology optimization methodseng
dc.typeconference paper
dspace.entity.typePublication
oaire.awardNumberPTDC/EME-SIS/4446/2020
oaire.awardTitleOptiBioScaffold: Stimuli optimization in bi-tissue scaffolds: from mathematical and computational modelling to experimental validation
oaire.awardURIhttp://hdl.handle.net/10400.8/13852
oaire.citation.conferenceDate2021-09
oaire.citation.conferencePlaceRhodes, Greece
oaire.citation.endPage8
oaire.citation.issue1
oaire.citation.startPage1
oaire.citation.titleAIP Conference Proceedings
oaire.citation.volume2849
oaire.fundingStream3599-PPCDT
oaire.versionhttp://purl.org/coar/version/c_970fb48d4fbd8a85
person.familyNameAlves
person.familyNamePascoal-Faria
person.givenNameNuno
person.givenNamePaula
person.identifier452149
person.identifier.ciencia-id311E-1559-8F6C
person.identifier.ciencia-idE01D-874A-4145
person.identifier.orcid0000-0002-5016-0868
person.identifier.orcid0000-0003-1474-9496
person.identifier.ridN-4073-2013
person.identifier.scopus-author-id7006403383
relation.isAuthorOfPublicationbbd46a74-b77e-4539-a5fe-62ee95cdc4fa
relation.isAuthorOfPublicationebb27133-d9ce-4f58-a4ca-f75a786bbc2e
relation.isAuthorOfPublication.latestForDiscoverybbd46a74-b77e-4539-a5fe-62ee95cdc4fa
relation.isProjectOfPublication4404ee62-04ec-41e3-a4d5-5fae899e9eac
relation.isProjectOfPublication.latestForDiscovery4404ee62-04ec-41e3-a4d5-5fae899e9eac

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In this text, the fundamentals of topology optimization (TO) are applied to trabecular bone's topology design, with the goal of then extrapolating their uses to bio-scaffold design for regenerative therapy. Total fragility bone fractures in the EU are estimated to increase from 2.7 million in 2017 to 3.3 million in 2030; a 23% increase. The resulting annual fracture-related costs (€37.5 billion in 2017) are expected to increase by 27%. An estimated 1.0 million quality-adjusted life years were lost in 2017 due to fragility fractures. The current disability-adjusted life years per 1000 individuals age 50 years or more were estimated at 21 years, which is higher than the estimates for stroke or chronic obstructive pulmonary disease (see [1]). Healing of bone fractures and reconstruction of critical-sized bone defects represent a significant challenge. With bone graft and synthetic material reconstruction techniques having their unfortunate limitations, bio-scaffolds came into play to get the best of both. Since scaffolds require very high porosity levels for osteoconductivity and must simultaneously bear a great amount of force occurring from the daily loads a patient experiences, structural analysis is indispensable to optimize their mechanical properties. Also, materials used for scaffold design are not as nearly as stiff as native bone, making optimization even more crucial. The Solid Isotropic Material with Penalization (SIMP) method for TO is quickly discussed and a perimeter constraint is introduced to impose porous-like structures in the design. Then, a topology optimization analysis is performed to mimic the trabecular architecture of a human's proximal femur. The femur's boundary conditions when it's subjected to daily gait are talked through. Lastly, an application to scaffold design is discussed.
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