PIMS - CSC Seminar: Jiguo Cao

Differential equations (DEs) are widely used to model complex dynamical systems in many areas including neuroscience, biology, medicine, genetics, ecology, engineering, physics, and finance. While parameters in DEs usually have scientific interpretations, their values are often unknown. The DE parameters are often difficult to estimate from the measurements of the dynamical system in the presence of measurement errors, because most DEs have no analytical solutions.

This makes it hard to verify DE models by showing how well their solutions fit real data. In this talk, I will review the current methods for estimating DE parameters. I will also talk about our recent work for estimating time-varying gene regulation networks using the fSCAD method.