数理人口学・数理生物学セミナー

過去の記録 ~02/05次回の予定今後の予定 02/06~


2016年07月13日(水)

15:00-16:00   数理科学研究科棟(駒場) 128演習室号室
Yu Min 氏 (青山学院大学理工学部)
腫瘍免疫系における時間遅れの二元的な役割 (ENGLISH)
[ 講演概要 ]
In this talk, a previous tumor immune interaction model is simplified by considering a relatively weak immune activation, which can still keep the essential dynamics properties. Since the immune activation process is not instantaneous, we incorporate one delay effect for the activation of the effector cells by helper T cells into the model. Furthermore, we investigate the stability and instability region of the tumor-presence equilibrium state of the delay-induced system with respect to two parameters, the activation rate of effector cells by helper T cells and the helper T cells stimulation rate by the presence of identified tumor antigens. We show the dual role of this delay that can induce stability switches exhibiting destabilization as well as stabilization of the tumor-presence equilibrium. Besides, our results show that the appropriate immune activation time plays a significant role in control of tumor growth.