A nonlocal equation describing tumor growth
数学专题报告
报告题目(Title)：A nonlocal equation describing tumor growth
报告人(Speaker)：Martina Magliocca (西班牙Seville大学)
地点(Place)： Zoom 会议 ID：927 185 19232, 密码：123456, Zoom Link: https://zoom.us/j/92718519232
时间(Time)： 2023 年 11 月 29 日（周三） 16:00--17:00
邀请人(Inviter)：薛留堂
报告摘要
Cancer is a very complex phenomenon that involves many different scales and situations. In this talk we consider a free boundary problem describing the evolution of a tumor colony and we derive a new asymptotic model for tumor growth. We focus on the case of a single phase tumor colony taking into account chemotactic effects in an early stage where there is no necrotic inner region. Thus, our model is valid for the case of multilayer avascular tumors with very little access to both nutrients and inhibitors or the case where the amount of nutrients and inhibitors is very similar to the amount consumed by the multilayer tumor cells. Our model takes the form of a single nonlocal and nonlinear partial differential equation. Besides deriving the model, we also prove a well-posedness result in a particular case. This talk is based on a joint work with R. Granero-Belinchón.
