Publicação
Surgical correction of scoliosis: Numerical analysis and optimization of the procedure
| Resumo: | A previously developed model is used to numerically simulate real clinical cases of the surgical correction of scoliosis. This model consists of one-dimensional finite elements with spatial deformation in which (i) the column is represented by its axis; (ii) the vertebrae are assumed to be rigid; and (iii) the deformability of the column is concentrated in springs that connect the successive rigid elements. The metallic rods used for the surgical correction are modeled by beam elements with linear elastic behavior. To obtain the forces at the connections between the metallic rods and the vertebrae geometrically, non-linear finite element analyses are performed. The tightening sequence determines the magnitude of the forces applied to the patient column, and it is desirable to keep those forces as small as possible. In this study, a Genetic Algorithm optimization is applied to this model in order to determine the sequence that minimizes the corrective forces applied during the surgery. This amounts to find the optimal permutation of integers 1, ... , n, n being the number of vertebrae involved. As such, we are faced with a combinatorial optimization problem isomorph to the Traveling Salesman Problem. The fitness evaluation requires one computing intensive Finite Element Analysis per candidate solution and, thus, a parallel implementation of the Genetic Algorithm is developed. |
|---|---|
| Autores principais: | Madeira, JFA |
| Outros Autores: | Pina, H. L.; Pires, E. B.; Monteiro, Joaquim |
| Assunto: | Scoliosis Computational biomechanics Finite element method Genetic algorithms Parallel computation |
| Ano: | 2010 |
| País: | Portugal |
| Tipo de documento: | artigo |
| Tipo de acesso: | acesso aberto |
| Instituição associada: | Instituto Politécnico de Lisboa |
| Idioma: | inglês |
| Origem: | Repositório Científico do Instituto Politécnico de Lisboa |
| _version_ | 1868417547871715328 |
|---|---|
| author | Madeira, JFA |
| author2 | Pina, H. L. Pires, E. B. Monteiro, Joaquim |
| author2_role | author author author |
| author_facet | Madeira, JFA Pina, H. L. Pires, E. B. Monteiro, Joaquim |
| author_role | author |
| contributor_name_str_mv | RCIPL |
| country_str | PT |
| creators_json_txt | [{\"Person.name\":\"Madeira, JFA\",\"Person.identifier.orcid\":\"0000-0001-9523-3808\"},{\"Person.name\":\"Pina, H. L.\"},{\"Person.name\":\"Pires, E. B.\"},{\"Person.name\":\"Monteiro, Joaquim\",\"Person.identifier.orcid\":\"0000-0003-1930-9123\"}] |
| datacite.contributors.contributor.contributorName.fl_str_mv | RCIPL |
| datacite.creators.creator.creatorName.fl_str_mv | Madeira, JFA Pina, H. L. Pires, E. B. Monteiro, Joaquim |
| datacite.date.Accepted.fl_str_mv | 2010-09-01T00:00:00Z |
| datacite.date.available.fl_str_mv | 2011-11-24T11:53:54Z |
| datacite.date.embargoed.fl_str_mv | 2011-11-24T11:53:54Z |
| datacite.rights.fl_str_mv | http://purl.org/coar/access_right/c_abf2 |
| datacite.subjects.subject.fl_str_mv | Scoliosis Computational biomechanics Finite element method Genetic algorithms Parallel computation |
| datacite.titles.title.fl_str_mv | Surgical correction of scoliosis: Numerical analysis and optimization of the procedure |
| dc.contributor.none.fl_str_mv | RCIPL |
| dc.creator.none.fl_str_mv | Madeira, JFA Pina, H. L. Pires, E. B. Monteiro, Joaquim |
| dc.date.Accepted.fl_str_mv | 2010-09-01T00:00:00Z |
| dc.date.available.fl_str_mv | 2011-11-24T11:53:54Z |
| dc.date.embargoed.fl_str_mv | 2011-11-24T11:53:54Z |
| dc.format.none.fl_str_mv | application/pdf |
| dc.identifier.none.fl_str_mv | http://hdl.handle.net/10400.21/526 |
| dc.language.none.fl_str_mv | eng |
| dc.publisher.none.fl_str_mv | John Wiley & Sons LTD |
| dc.rights.none.fl_str_mv | http://purl.org/coar/access_right/c_abf2 |
| dc.subject.none.fl_str_mv | Scoliosis Computational biomechanics Finite element method Genetic algorithms Parallel computation |
| dc.title.fl_str_mv | Surgical correction of scoliosis: Numerical analysis and optimization of the procedure |
| dc.type.none.fl_str_mv | http://purl.org/coar/resource_type/c_6501 |
| description | A previously developed model is used to numerically simulate real clinical cases of the surgical correction of scoliosis. This model consists of one-dimensional finite elements with spatial deformation in which (i) the column is represented by its axis; (ii) the vertebrae are assumed to be rigid; and (iii) the deformability of the column is concentrated in springs that connect the successive rigid elements. The metallic rods used for the surgical correction are modeled by beam elements with linear elastic behavior. To obtain the forces at the connections between the metallic rods and the vertebrae geometrically, non-linear finite element analyses are performed. The tightening sequence determines the magnitude of the forces applied to the patient column, and it is desirable to keep those forces as small as possible. In this study, a Genetic Algorithm optimization is applied to this model in order to determine the sequence that minimizes the corrective forces applied during the surgery. This amounts to find the optimal permutation of integers 1, ... , n, n being the number of vertebrae involved. As such, we are faced with a combinatorial optimization problem isomorph to the Traveling Salesman Problem. The fitness evaluation requires one computing intensive Finite Element Analysis per candidate solution and, thus, a parallel implementation of the Genetic Algorithm is developed. |
| dirty | 0 |
| eu_rights_str_mv | openAccess |
| format | article |
| fulltext.url.fl_str_mv | https://repositorio.ipl.pt/bitstreams/219aeda2-c84e-4489-bd61-f8fff67f1a19/download |
| id | ripl_7dbf2a617db45fde9facd9acf8c8b89f |
| identifier.url.fl_str_mv | http://hdl.handle.net/10400.21/526 |
| instacron_str | ipl |
| institution | Instituto Politécnico de Lisboa |
| instname_str | Instituto Politécnico de Lisboa |
| language | eng |
| network_acronym_str | ripl |
| network_name_str | Repositório Científico do Instituto Politécnico de Lisboa |
| oai_identifier_str | oai:repositorio.ipl.pt:10400.21/526 |
| organization_str_mv | urn:organizationAcronym:ipl |
| person_str_mv | Madeira, JFA Madeira, JFA https://www.ciencia-id.pt/6F1E-DCF0-D6EC 6F1E-DCF0-D6EC http://orcid.org/0000-0001-9523-3808 0000-0001-9523-3808 Pina, H. L. Pires, E. B. Monteiro, Joaquim Monteiro, Joaquim https://www.ciencia-id.pt/4916-EA4B-17D4 4916-EA4B-17D4 http://orcid.org/0000-0003-1930-9123 0000-0003-1930-9123 |
| publishDate | 2010 |
| publisher.none.fl_str_mv | John Wiley & Sons LTD |
| reponame_str | Repositório Científico do Instituto Politécnico de Lisboa |
| repository_id_str | urn:repositoryAcronym:ripl |
| service_str_mv | urn:repositoryAcronym:ripl |
| spelling | engJohn Wiley & Sons LTDporA previously developed model is used to numerically simulate real clinical cases of the surgical correction of scoliosis. This model consists of one-dimensional finite elements with spatial deformation in which (i) the column is represented by its axis; (ii) the vertebrae are assumed to be rigid; and (iii) the deformability of the column is concentrated in springs that connect the successive rigid elements. The metallic rods used for the surgical correction are modeled by beam elements with linear elastic behavior. To obtain the forces at the connections between the metallic rods and the vertebrae geometrically, non-linear finite element analyses are performed. The tightening sequence determines the magnitude of the forces applied to the patient column, and it is desirable to keep those forces as small as possible. In this study, a Genetic Algorithm optimization is applied to this model in order to determine the sequence that minimizes the corrective forces applied during the surgery. This amounts to find the optimal permutation of integers 1, ... , n, n being the number of vertebrae involved. As such, we are faced with a combinatorial optimization problem isomorph to the Traveling Salesman Problem. The fitness evaluation requires one computing intensive Finite Element Analysis per candidate solution and, thus, a parallel implementation of the Genetic Algorithm is developed.application/pdfporSurgical correction of scoliosis: Numerical analysis and optimization of the procedurePersonalMadeira, JFADSpacehttp://dspace.org/items/d495619a-a6ab-4ff5-8e70-3a1351f934dcDSpacehttp://dspace.org/items/d495619a-a6ab-4ff5-8e70-3a1351f934dcMadeiraJose Firmino AguilarCiência IDhttps://www.ciencia-id.pt6F1E-DCF0-D6ECORCIDhttp://orcid.org0000-0001-9523-3808Researcher IDhttps://www.researcherid.comN-6918-2016Scopus Author IDhttps://www.scopus.com7003405549Pina, H. L.Pires, E. B.PersonalMonteiro, JoaquimDSpacehttp://dspace.org/items/af7c0e5b-adc6-467f-b817-97fbf260f102DSpacehttp://dspace.org/items/af7c0e5b-adc6-467f-b817-97fbf260f102MonteiroJoaquimCiência IDhttps://www.ciencia-id.pt4916-EA4B-17D4ORCIDhttp://orcid.org0000-0003-1930-9123Researcher IDhttps://www.researcherid.comJ-8903-2013Scopus Author IDhttps://www.scopus.com56582664700HostingInstitutionOrganizationalRCIPLe-mailmailto:rcaap@sp.ipl.ptrcaap@sp.ipl.ptISSNIsPartOf2040-79392011-11-24T11:53:54Z2010-092010-09-01T00:00:00ZHandlehttp://hdl.handle.net/10400.21/526http://purl.org/coar/access_right/c_abf2open accessScoliosisComputational biomechanicsFinite element methodGenetic algorithmsParallel computation52711 bytesliteraturehttp://purl.org/coar/resource_type/c_6501journal articlehttp://purl.org/coar/access_right/c_abf2application/pdffulltexthttps://repositorio.ipl.pt/bitstreams/219aeda2-c84e-4489-bd61-f8fff67f1a19/downloadInternational Journal for Numerical Methods in Biomedical Engineering2610871098Sussex |
| spellingShingle | Surgical correction of scoliosis: Numerical analysis and optimization of the procedure Madeira, JFA Scoliosis Computational biomechanics Finite element method Genetic algorithms Parallel computation |
| status | SINGLETON |
| subject.fl_str_mv | Scoliosis Computational biomechanics Finite element method Genetic algorithms Parallel computation |
| title | Surgical correction of scoliosis: Numerical analysis and optimization of the procedure |
| title_full | Surgical correction of scoliosis: Numerical analysis and optimization of the procedure |
| title_fullStr | Surgical correction of scoliosis: Numerical analysis and optimization of the procedure |
| title_full_unstemmed | Surgical correction of scoliosis: Numerical analysis and optimization of the procedure |
| title_short | Surgical correction of scoliosis: Numerical analysis and optimization of the procedure |
| title_sort | Surgical correction of scoliosis: Numerical analysis and optimization of the procedure |
| topic | Scoliosis Computational biomechanics Finite element method Genetic algorithms Parallel computation |
| topic_facet | Scoliosis Computational biomechanics Finite element method Genetic algorithms Parallel computation |
| url | http://hdl.handle.net/10400.21/526 |
| visible | 1 |