Thursday, October 24, 2019 - 1:50pm to 2:50pm
Math Tower 154
Title: Theoretical and Computational Studies of Mathematical Models in Biology
Speaker: Jia Gou - University of Minnesota
Abstract: Mathematical models have been widely used to understand biological mechanisms and dynamics underlying experimental observations. In this talk, I will first introduce a model of spatially-segregated dynamically-active cells coupled by bulk diffusion and provide a theoretical investigation of this kind of coupling mechanism between small cells in a 2D bounded domain at different diffusion rates. Our analysis shows that such coupling is a robust mechanism for the initiation of synchronized oscillatory dynamics in the segregated cells. Quorum sensing phenomenon, collective behavior of cells in response to changes in their population size, is also observed in such system.
The second problem is related to the growth control in the Drosophila wing disc. Growth control in the disc involves various local signals, including signaling pathways, mechanical signals, etc. We develop a model of the Hippo pathway, which is the core regulatory pathway that mediates cell proliferation and apoptosis and is highly conserved in mammals. We investigate the regulatory role of two upstream components Fat and Ds on the downstream mediator Yki of the pathway, and provide explanations to some of the seemingly contradictory experimental results. In the third part I will also briefly talk about our current work on morphogen transport in the wing disc.