Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/62383
Título: | A kinetic model of T cell autoreactivity in autoimmune diseases |
Autor(es): | Ramos, M. P. Machado Ribeiro, Carolina Soares, A. J. |
Palavras-chave: | Mathematical biology Modelling Kinetic theory Autoimmune diseases Cellular interactions Non-linear ODE’s 82C40 92B05 97M60 34A34 |
Data: | Dez-2019 |
Editora: | Springer |
Revista: | Journal of Mathematical Biology |
Resumo(s): | We construct a mathematical model of kinetic type in order to describe the immune system interactions in the context of autoimmune disease. The interacting populations are self-antigen presenting cells, self-reactive T cells and the set of immunosuppressive cells consisting of regulatory T cells and NaturalKiller cells. The main aim of our work is to develop a qualitative analysis of the model equations and investigate the existence of biologically realistic solutions. Having this goal in mind we describe the interactions between cells during an autoimmune reaction based on biological considerations that are given in the literature and we show that the corresponding system of integro-differential equations has finite positive solutions. The asymptotic behaviour of the solution of the system is also studied. We complement our mathematical analysis with numerical simulations that study the sensitivity of the model to parameters related to proliferation of immunosuppressive cells, destruction of self-antigen presenting cells and self-reactive T cells and tolerance of SRTCs to self-antigens. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/62383 |
DOI: | 10.1007/s00285-019-01418-4 |
ISSN: | 0303-6812 |
e-ISSN: | 1432-1416 |
Versão da editora: | http://link.springer.com/article/10.1007/s00285-019-01418-4 |
Arbitragem científica: | yes |
Acesso: | Acesso aberto |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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MPR_CR_AJS_2019_JMB.pdf | Artigo | 374,43 kB | Adobe PDF | Ver/Abrir |