Shanghai Jiao Tong University (上海交通大学)
Abstract: In this talk we will focus on integro-differential Fisher-KPP equations, and discuss the monotonicity, uniqueness and stability of traveling waves of the equations. This is based on joint works with Zhaoquan Xu.
Data-driven multi-scale mathematical modeling of SARS-CoV-2 infection
Xiufen Zou (邹秀芬)
Wuhan University (武汉大学)
Abstract: Based on available data for COVID-19, we presented two mathematical models for SARS-CoV-2 infection. One is the coinfection of SARS-CoV-2 and bacteria to investigate the dynamics of COVID-19 progress. Another is a multi-scale computational model to understand the heterogeneous progression of COVID-19 patients. Combining theoretical analysis, numerical simulations and quantitative computations, we revealed that initial bacterial infection and immune-related parameters have great influences on the severity degree and mortality in COVID-19 patients. We further identified that T cell exhaustion plays a key role in the transition between mild-moderate and severe symptoms. In addition, we quantified the efficacy of treating COVID-19 patients and investigated the effects of various therapeutic strategies. These results highlight the critical roles of IFN and T cell responses in regulating the stage transition during COVID-19 progression.
Time series analytics: Causation detections and dynamics predictions