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

• Type: Article in International Scientific Journal
• Date: 2020

Authors

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

Journal

Title: Mathematics

Vol. 8

Final page: 293

Publisher: MDPI

Indexing

ISI Web of Knowledge - 3 Citations

Scopus - 4 Citations

Scientific classification

CORDIS: Health sciences

FOS: Medical and Health sciences

Other information

Authenticus ID: 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 14