Recent developments on the modelling of cell interactions in autoimmune diseases
Autor(a) principal: | |
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Data de Publicação: | 2021 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | https://hdl.handle.net/1822/88146 |
Resumo: | In this paper, we give an overview of our recent results concerning the mathematical modelling of autoimmune diseases in absence [1] and in presence [2] of immunotherapeutic treatment. Then we complement the model description given in [2], by developing here a kinetic system describing the cellular dynamics corresponding to the macroscopic model presented in [2]. This is the main new contribution in these proceedings and it allows us to investigate the effect of an external drug therapy at the cellular level. The relevant properties on existence, uniqueness, positivity and asymptotic behaviour of the solution to the new kinetic system are stated. Some numerical simulations are also performed for the models in absence and in presence of immunotherapy, to analyse both the effect of optimal treatment strategies and the sensitivity of the solutions to certain parameters of the model with biological significance. |
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Recent developments on the modelling of cell interactions in autoimmune diseasesMathematical biologyModellingKinetic theoryAutoimmune diseasesOptimal immunotherapyCiências Naturais::MatemáticasIn this paper, we give an overview of our recent results concerning the mathematical modelling of autoimmune diseases in absence [1] and in presence [2] of immunotherapeutic treatment. Then we complement the model description given in [2], by developing here a kinetic system describing the cellular dynamics corresponding to the macroscopic model presented in [2]. This is the main new contribution in these proceedings and it allows us to investigate the effect of an external drug therapy at the cellular level. The relevant properties on existence, uniqueness, positivity and asymptotic behaviour of the solution to the new kinetic system are stated. Some numerical simulations are also performed for the models in absence and in presence of immunotherapy, to analyse both the effect of optimal treatment strategies and the sensitivity of the solutions to certain parameters of the model with biological significance.This work is partially supported by the Portuguese FCT Projects UIDB/00013/2020 and UIDP/00013/2020 of CMAT-UMSpringerUniversidade do MinhoCosta, M. Fernanda P.Ramos, M. P. MachadoRibeiro, CarolinaSoares, A. J.20212021-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/1822/88146eng97830306978392194-10092194-101710.1007/978-3-030-69784-6_8https://link.springer.com/chapter/10.1007/978-3-030-69784-6_8info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-01-20T01:20:58Zoai:repositorium.sdum.uminho.pt:1822/88146Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T01:52:17.358265Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse |
dc.title.none.fl_str_mv |
Recent developments on the modelling of cell interactions in autoimmune diseases |
title |
Recent developments on the modelling of cell interactions in autoimmune diseases |
spellingShingle |
Recent developments on the modelling of cell interactions in autoimmune diseases Costa, M. Fernanda P. Mathematical biology Modelling Kinetic theory Autoimmune diseases Optimal immunotherapy Ciências Naturais::Matemáticas |
title_short |
Recent developments on the modelling of cell interactions in autoimmune diseases |
title_full |
Recent developments on the modelling of cell interactions in autoimmune diseases |
title_fullStr |
Recent developments on the modelling of cell interactions in autoimmune diseases |
title_full_unstemmed |
Recent developments on the modelling of cell interactions in autoimmune diseases |
title_sort |
Recent developments on the modelling of cell interactions in autoimmune diseases |
author |
Costa, M. Fernanda P. |
author_facet |
Costa, M. Fernanda P. Ramos, M. P. Machado Ribeiro, Carolina Soares, A. J. |
author_role |
author |
author2 |
Ramos, M. P. Machado Ribeiro, Carolina Soares, A. J. |
author2_role |
author author author |
dc.contributor.none.fl_str_mv |
Universidade do Minho |
dc.contributor.author.fl_str_mv |
Costa, M. Fernanda P. Ramos, M. P. Machado Ribeiro, Carolina Soares, A. J. |
dc.subject.por.fl_str_mv |
Mathematical biology Modelling Kinetic theory Autoimmune diseases Optimal immunotherapy Ciências Naturais::Matemáticas |
topic |
Mathematical biology Modelling Kinetic theory Autoimmune diseases Optimal immunotherapy Ciências Naturais::Matemáticas |
description |
In this paper, we give an overview of our recent results concerning the mathematical modelling of autoimmune diseases in absence [1] and in presence [2] of immunotherapeutic treatment. Then we complement the model description given in [2], by developing here a kinetic system describing the cellular dynamics corresponding to the macroscopic model presented in [2]. This is the main new contribution in these proceedings and it allows us to investigate the effect of an external drug therapy at the cellular level. The relevant properties on existence, uniqueness, positivity and asymptotic behaviour of the solution to the new kinetic system are stated. Some numerical simulations are also performed for the models in absence and in presence of immunotherapy, to analyse both the effect of optimal treatment strategies and the sensitivity of the solutions to certain parameters of the model with biological significance. |
publishDate |
2021 |
dc.date.none.fl_str_mv |
2021 2021-01-01T00:00:00Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
https://hdl.handle.net/1822/88146 |
url |
https://hdl.handle.net/1822/88146 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
9783030697839 2194-1009 2194-1017 10.1007/978-3-030-69784-6_8 https://link.springer.com/chapter/10.1007/978-3-030-69784-6_8 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
Springer |
publisher.none.fl_str_mv |
Springer |
dc.source.none.fl_str_mv |
reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
instname_str |
Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
instacron_str |
RCAAP |
institution |
RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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1799137014244704256 |