Seminar: Dynamics of a tumor immune system with distributed delay

Thời gian: 14:00 đến 16:00 Ngày 05/12/2023

Địa điểm: C101, VIASM

Speaker: Yasuhiro Takeuchia,
College of Science and Engineering, Aoyama Gakuin University, Kanagawa 252-5258, Japan

Abstract: A known previous tumour–immune interaction model is simplified by neglecting a relatively weak direct immune activation by the tumour cells, which can still keep the essential dynamics properties of the original model. As the immune activation process is not instantaneous, we now incorporate one delay for the activation of the effector cells (ECs) by helper T cells (HTCs) into the model. Furthermore, we investigate the stability and instability regions of the tumour-presence equilibrium state of the delay-induced system with respect to two parameters, the activation rate of ECs by HTCs and the HTCs stimulation rate by the presence of identified tumour antigens. We show the dual role of this delay that can induce stability switches exhibiting destabilization as well as stabilization of the tumour-presence equilibrium. Besides, our results reveal that an appropriate immune activation time delay plays a significant role in control of tumour growth.

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ID: 894 817 3518

Passcode: 2023