Presentation Information
[MS09-02]Mathematical analysis of a model for tuberculosis granuloma formation
*Masaaki Mizukami1 (1. Kyoto University of Education (Japan))
Keywords:
Tuberculosis granuloma formation,Global existence,Behaviour
In mathematical analysis, partial differential equations and their systems are tools to analyze natural phenomena. The main themes of studying partial differential equations are whether solutions exist, and how these solutions behave.
This talk focuses on the formation of granuloma during tuberculosis infections. Recently, Feng (Journal of Nonlinear, Complex and Data Science, 2024) proposed a system of partial differential equations modelling tuberculosis granuloma formation, and analyzed this system numerically in the one- and two-dimensional settings. As a next step, the purpose of this talk is to analyze the system mathematically, and especially to show global existence and behaviour of solutions.
This talk is based on a joint work with Dr. Mario Fuest (Leibniz University Hannover) and Professor Johannes Lankeit (Leibniz University Hannover), and also on that with Yuya Tanaka (Kwansei Gakuin University).
This talk focuses on the formation of granuloma during tuberculosis infections. Recently, Feng (Journal of Nonlinear, Complex and Data Science, 2024) proposed a system of partial differential equations modelling tuberculosis granuloma formation, and analyzed this system numerically in the one- and two-dimensional settings. As a next step, the purpose of this talk is to analyze the system mathematically, and especially to show global existence and behaviour of solutions.
This talk is based on a joint work with Dr. Mario Fuest (Leibniz University Hannover) and Professor Johannes Lankeit (Leibniz University Hannover), and also on that with Yuya Tanaka (Kwansei Gakuin University).