Office: 31 Computing Applications Building (map)
Mailing address:
Department of Mathematics
University of Illinois Urbana-Champaign
273 Altgeld Hall, MC 382
1409 W Green St, Urbana, IL 61801
pollyyu [at] illinois [dot] edu
Office: 31 Computing Applications Building (map)
Mailing address:
Department of Mathematics
University of Illinois Urbana-Champaign
273 Altgeld Hall, MC 382
1409 W Green St, Urbana, IL 61801
pollyyu [at] illinois [dot] edu
New homepage: https://pollyyu.web.illinois.edu/
I am interested in models of biochemical systems, and dynamical systems that arise from interaction networks more generally. Such a system typically involves variables (e.g., chemical species) interacting in complex ways with many unknowns: unknown parameters, unknown rate functions or types of interactions, etc. This makes solving for the explicit dynamics difficult. I prove general theorems about qualitative dynamics independent of choice of parameters when possible, or perform symbolic and numerical analyses of specific systems when appropriate. More about my research interests.