Recent developments on the modelling of cell interactions in autoimmune diseases

Detalhes bibliográficos
Autor(a) principal: Costa, M. Fernanda P.
Data de Publicação: 2021
Outros Autores: Ramos, M. P. Machado, Ribeiro, Carolina, Soares, A. J.
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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spelling 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)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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