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Revealing the Role of the Effector-regulatory T Cell Loop on Autoimmune Disease Symptoms via Nonlinear Dynamics


Academic Report

Title: Revealing the Role  of the Effector-regulatory T Cell Loop on Autoimmune Disease Symptoms via  Nonlinear Dynamics

Reporter: ZHANG Wenjing(Texas Tech University)

Time: December 27, 2018 (Thursday) AM 10:00-10:45

Location: B1412# room, Innovation Park Building

Contact: A. Prof. LIU Liu (tel: 84708351-8141)


Abstract: In this talk, we  investigate the influence of the effector-regulatory (Teff-Treg) T cell  interaction on the T-cell-mediated autoimmune disease dynamics. The simple  3-dimensional Teff-Treg model is derived from the two-step model reduction of an  established 5-dimensional model. The reduced 4- and 3-dimensional models  preserve dynamical behaviors in the original 5-dimensional model, which  represents the chronic and relapse-remitting autoimmune symptoms. Moreover, we  find three co-existing limit cycles in the reduced 3-dimensional model, in which  two stable periodic solutions enclose an unstable one. The existence of multiple  limit cycles provides a new mechanism to explain varying oscillating amplitudes  of lesion grade in multiple sclerosis. The complex multiphase symptom may be  caused by a noise-driven Teff population traveling between two coexisting stable  periodic solutions. The simulated phase portrait and time history of coexisting  limit cycles are given correspondingly.


The brief introduction to the reporter: Dr. Wenjing Zhang,  Assistant Professor in the Department of Mathematics and Statistic at Texas Tech  University (TTU). Dr. Zhang is an Applied Mathematician who is interested in  dynamical systems and its application in biology. She is studying mechanisms  underlying infectious diseases and autoimmune diseases through deterministic and  stochastic models. In her studies, deterministic disease dynamics are  categorized in parameter spaces through bifurcation theory, more dynamics can  appear with stochastic variations. Her work focuses on the recurrent phenomenon  in HIV viral blips, relapse-remission pattern in autoimmune diseases, and  uncontrolled cytokine flare-ups causing cytokine storms in SARS, Avian  influenza, and Hantavirus cardiopulmonary syndrome. Dr. Zhang received her PhD  in Applied Mathematics from Western University (University of Western Ontario)  in Canada. Before joining the Department of Mathematics and Statistic at TTU she  was a Postdoctoral Fellow in the Department of Mathematics and Statistics at  York University (Canada). Recent Scholarship: Wenjing Zhang, Sophia Jang,  Colleen B. Jonsson, and Linda J. S. Allen. Models of Cytokine Dynamics in the  Inflammatory Response of Viral Zoonotic Infectious Diseases. To submit to  Mathematical Medicine and Biology.