Please use this identifier to cite or link to this item: http://hdl.handle.net/1822/62383

TitleA kinetic model of T cell autoreactivity in autoimmune diseases
Author(s)Ramos, M. P. Machado
Ribeiro, Carolina
Soares, A. J.
KeywordsMathematical biology
Modelling
Kinetic theory
Autoimmune diseases
Cellular interactions
Non-linear ODE’s
Issue dateDec-2019
PublisherSpringer
JournalJournal of Mathematical Biology
Abstract(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.
TypeArticle
URIhttp://hdl.handle.net/1822/62383
DOI10.1007/s00285-019-01418-4
ISSN0303-6812
e-ISSN1432-1416
Publisher versionhttp://link.springer.com/article/10.1007/s00285-019-01418-4
Peer-Reviewedyes
AccessEmbargoed access (1 Year)
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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