The Effect of a Linear Tuning between the Antigenic Stimulations of CD4(+) T Cells and CD4(+) Tregs

• Tipo: Artigo em Revista Científica Internacional
• Data: 2020

Autores

Yusuf, AA (Autor) Outra; Figueiredo, IP (Autor) Outra; Afsar, A (Autor) Outra; Burroughs, NJ (Autor) Outra; Pinto, A.A. (Autor) FCUP; Bruno M P M Oliveira (Autor) FCNAUP

Revista

Título: Mathematics

Vol. 8

Página Final: 293

Editora: MDPI

Indexação

ISI Web of Knowledge - 3 Citações

Scopus - 4 Citações

Classificação Científica

CORDIS: Ciências da Saúde

FOS: Ciências médicas e da saúde

Outras Informações

ID Authenticus: P-00R-TT0

DOI: 10.3390/math8020293

Abstract (EN): We study the equilibria of an Ordinary Differencial Equation (ODE) system where CD4<mml:semantics>+</mml:semantics> effector or helper T cells and Regulatory T cells (Tregs) are present. T cells trigger an immune response in the presence of their specific antigen. Regulatory T cells (Tregs) play a role in limiting auto-immune diseases due to their immune-suppressive ability. Here, we present explicit exact formulas that give the relationship between the concentration of T cells, the concentration of Tregs, and the antigenic stimulation of T cells, when the system is at equilibria, stable or unstable. We found a parameter region of bistability, limited by two thresholds of antigenic stimulation of T cells (hysteresis). Moreover, there are values of the slope parameter of the tuning for which an isola-center bifurcation appears, and, for some other values, there is a transcritical bifurcation. We also present time evolutions of the ODE system.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 14