Department of Physics

Physics Colloquium

DATE:           Friday, October 9, 2015
TIME:           12:20 pm - 1:30 pm
LOCATION:   205 Campbell Hall

"Model of Malignant Brain Tumors: From PDE to Clinics and Biology"

Dr. Hassan Fathallah-Shaykh
Department of Neurology


Glioblastoma multiforme (GBM) is a malignant brain tumor with poor prognosis and high morbidity due to its invasiveness. Hypoxia-driven motility and concentration-driven motility are two mechanisms of GBM invasion of the brain. The use of anti-angiogenic drugs has uncovered new progression patterns of GBM associated with significant differences in overall survival times. I will discuss a concise system of equation that models the biology of GBM including the motility, replication, and angiogenesis/antiangiogenesis. The model, built at the scale of clinical magnetic resonance imaging, replicates the imaging features of GBM and uncovers a previously unknown pattern of progression, which was clinically validated. The model is also applied to conduct in silico clinical trials; the results identify novel motility-based GBM phenotypes, effective therapeutic strategies in each of the GBM phenotypes, and a correlation of therapeutic efficacy with overall survival times. This investigation underscores the potential significance of mathematical models.