Algebra and Combinatorics Seminar

Date: March 31, 2017

Time: 3:00PM - 3:50PM

Location: BLOC 628

Speaker: Elizabeth Gross , San Jose State University

Title: Combinatorial and algebraic problems in systems biology

Abstract: Systems biology focuses on modeling complex biological systems, such as metabolic and cell signaling networks. These biological networks are modeled with polynomial dynamical systems that can be described with directed graphs. Analyzing these systems at steady-state results in polynomial ideals with significant combinatorial structure. Using the Wnt shuttle model as an example, we will discuss some of the combinatorial and algebraic techniques available for parameter estimation and model selection. We will then look at the algebraic problems that arise when constructing new network models from smaller models through gluing operations on the corresponding directed graphs. This talk draws on joint work with Heather Harrington, Zvi Rosen, and Bernd Sturmfels, as well as joint work with Heather Harrington, Nicolette Meshkat, and Anne Shiu.