Colloquium: Dr. Harsh Jain
March 13 @ 2:00 pm - 3:30 pmFree
Practical Identifiability of Parameters: A Tale with Two Endings
Dr. Harsh Jain
Florida State University
“Making quantitative predictions with data-driven models – such as in mathematical biology – often requires parameter estimation from imperfect data, raising questions of parameter identifiability and estimability. In this talk, I will first examine parameter identifiability using a case study of two compartmental, ordinary differential equation models of cancer treatment with drugs that are cell cycle-specific (taxol) as well as non-specific (oxaliplatin). Despite the models being structurally identifiable, I demonstrate how ignoring practical identifiability issues can lead to incorrect biological predictions. In the second half of my talk, I will present a model of immunotherapy in the treatment of prostate cancer. Although several model parameters are practically unidentifiable, I demonstrate how this unidentifiability can in fact be exploited to capture individual heterogeneity, and offer an explanation for the very limited success of this kind of therapy in practice.”
Light refreshments will be served @ 1:30 pm in EMS E424A.