Publicação
Kinetic modelling of autoimmune diseases
| Resumo: | In this paper, we review previous results obtained by the authors, concerning the mathematical modelling of autoimmune diseases when the kinetic theory approach is used in order to describe the microscopic interactions between cells. Three cell populations are considered and the distribution function of each population depends on the biological activity variable defining the functional state relevant for that population. We revisit the wellposedness of the kinetic system and focus our study on the numerical simulations with the kinetic system in view of investigating the sensitivity of the solution to certain parameters of the model with biological significance. |
|---|---|
| Autores principais: | Ramos, M. P. Machado |
| Outros Autores: | Ribeiro, Carolina; Soares, A. J. |
| Assunto: | Mathematical modelling Kinetic theory Cellular interactions Autoimmune diseases |
| Ano: | 2021 |
| País: | Portugal |
| Tipo de documento: | capítulo de livro |
| Tipo de acesso: | acesso aberto |
| Instituição associada: | Universidade do Minho |
| Idioma: | inglês |
| Origem: | RepositóriUM - Universidade do Minho |
| _version_ | 1867438819979034624 |
|---|---|
| author | Ramos, M. P. Machado |
| author2 | Ribeiro, Carolina Soares, A. J. |
| author2_role | author author |
| author_facet | Ramos, M. P. Machado Ribeiro, Carolina Soares, A. J. |
| author_role | author |
| contributor_name_str_mv | RepositóriUM - Universidade do Minho |
| country_str | PT |
| creators_json_txt | [{\"Person.name\":\"Ramos, M. P. Machado\"},{\"Person.name\":\"Ribeiro, Carolina\"},{\"Person.name\":\"Soares, A. J.\"}] |
| datacite.contributors.contributor.contributorName.fl_str_mv | RepositóriUM - Universidade do Minho |
| datacite.creators.creator.creatorName.fl_str_mv | Ramos, M. P. Machado Ribeiro, Carolina Soares, A. J. |
| datacite.date.Accepted.fl_str_mv | 2021-01-01T00:00:00Z |
| datacite.date.available.fl_str_mv | 2024-01-18T09:32:25Z |
| datacite.date.embargoed.fl_str_mv | 2024-01-18T09:32:25Z |
| datacite.rights.fl_str_mv | http://purl.org/coar/access_right/c_abf2 |
| datacite.subjects.subject.fl_str_mv | Mathematical modelling Kinetic theory Cellular interactions Autoimmune diseases |
| datacite.titles.title.fl_str_mv | Kinetic modelling of autoimmune diseases |
| dc.contributor.none.fl_str_mv | RepositóriUM - Universidade do Minho |
| dc.creator.none.fl_str_mv | Ramos, M. P. Machado Ribeiro, Carolina Soares, A. J. |
| dc.date.Accepted.fl_str_mv | 2021-01-01T00:00:00Z |
| dc.date.available.fl_str_mv | 2024-01-18T09:32:25Z |
| dc.date.embargoed.fl_str_mv | 2024-01-18T09:32:25Z |
| dc.format.none.fl_str_mv | application/pdf |
| dc.identifier.none.fl_str_mv | https://hdl.handle.net/1822/88152 |
| dc.language.none.fl_str_mv | eng |
| dc.publisher.none.fl_str_mv | Springer |
| dc.rights.none.fl_str_mv | http://purl.org/coar/access_right/c_abf2 |
| dc.subject.none.fl_str_mv | Mathematical modelling Kinetic theory Cellular interactions Autoimmune diseases |
| dc.title.fl_str_mv | Kinetic modelling of autoimmune diseases |
| dc.type.none.fl_str_mv | http://purl.org/coar/resource_type/c_3248 |
| description | In this paper, we review previous results obtained by the authors, concerning the mathematical modelling of autoimmune diseases when the kinetic theory approach is used in order to describe the microscopic interactions between cells. Three cell populations are considered and the distribution function of each population depends on the biological activity variable defining the functional state relevant for that population. We revisit the wellposedness of the kinetic system and focus our study on the numerical simulations with the kinetic system in view of investigating the sensitivity of the solution to certain parameters of the model with biological significance. |
| dirty | 0 |
| eu_rights_str_mv | openAccess |
| format | bookPart |
| fulltext.url.fl_str_mv | https://repositorium.uminho.pt/bitstreams/9281d1af-8026-4339-96c3-ac9c4794e9c4/download |
| id | rum_62fcb8dfcf6f695ea8a161cf0f79679c |
| identifier.url.fl_str_mv | https://hdl.handle.net/1822/88152 |
| instacron_str | repositorium |
| institution | Universidade do Minho |
| instname_str | Universidade do Minho |
| language | eng |
| network_acronym_str | rum |
| network_name_str | RepositóriUM - Universidade do Minho |
| oai_identifier_str | oai:repositorium.uminho.pt:1822/88152 |
| organization_str_mv | urn:organizationAcronym:repositorium |
| person_str_mv | Ramos, M. P. Machado Ribeiro, Carolina Soares, A. J. |
| publishDate | 2021 |
| publisher.none.fl_str_mv | Springer |
| reponame_str | RepositóriUM - Universidade do Minho |
| repository_id_str | urn:repositoryAcronym:rum |
| service_str_mv | urn:repositoryAcronym:rum |
| spelling | engSpringerporIn this paper, we review previous results obtained by the authors, concerning the mathematical modelling of autoimmune diseases when the kinetic theory approach is used in order to describe the microscopic interactions between cells. Three cell populations are considered and the distribution function of each population depends on the biological activity variable defining the functional state relevant for that population. We revisit the wellposedness of the kinetic system and focus our study on the numerical simulations with the kinetic system in view of investigating the sensitivity of the solution to certain parameters of the model with biological significance.application/pdfporKinetic modelling of autoimmune diseasesRamos, M. P. MachadoRibeiro, CarolinaSoares, A. J.HostingInstitutionOrganizationalRepositóriUM - Universidade do Minhoe-mailmailto:repositorium@usdb.uminho.ptrepositorium@usdb.uminho.ptISBNIsPartOf978-3-030-82945-2ISSNIsPartOf2281-518XEISSNIsPartOf2281-5198DOIIsPartOf10.1007/978-3-030-82946-9_13EISBNIsPartOf978-3-030-82946-92024-01-18T09:32:25Z20212021-01-01T00:00:00ZHandlehttps://hdl.handle.net/1822/88152http://purl.org/coar/access_right/c_abf2open accessMathematical modellingKinetic theoryCellular interactionsAutoimmune diseases560381 bytesliteraturehttp://purl.org/coar/resource_type/c_3248book parthttp://purl.org/coar/access_right/c_abf2application/pdffulltexthttps://repositorium.uminho.pt/bitstreams/9281d1af-8026-4339-96c3-ac9c4794e9c4/download |
| spellingShingle | Kinetic modelling of autoimmune diseases Ramos, M. P. Machado Mathematical modelling Kinetic theory Cellular interactions Autoimmune diseases |
| status | SINGLETON |
| subject.fl_str_mv | Mathematical modelling Kinetic theory Cellular interactions Autoimmune diseases |
| title | Kinetic modelling of autoimmune diseases |
| title_full | Kinetic modelling of autoimmune diseases |
| title_fullStr | Kinetic modelling of autoimmune diseases |
| title_full_unstemmed | Kinetic modelling of autoimmune diseases |
| title_short | Kinetic modelling of autoimmune diseases |
| title_sort | Kinetic modelling of autoimmune diseases |
| topic | Mathematical modelling Kinetic theory Cellular interactions Autoimmune diseases |
| topic_facet | Mathematical modelling Kinetic theory Cellular interactions Autoimmune diseases |
| url | https://hdl.handle.net/1822/88152 |
| visible | 1 |