Now I am a PhD student in University of Alberta. My research mainly focuses on the Mathematical models in tumor radiation treatment and the therefore optimization problems based on our models.
One such models is tumor control probability model (TCP), used to measure the prob- ability of tumor cell eradication. I have contributed to the development of TCP models by combination of ordinary dierential equations, stochastic birth-death processes and partial dierential equations. The current TCP in the literature include simple Poisson TCP, TCP based on stochastic birth-death process, TCP from branching process and individual based TCP models. I have successfully derived an Poisson TCP for non-linear regrowth tumor cells, and a generalized TCP model based on stochastic birth-death process. Furthermore, the optimization of the generalized Poisson TCP with a simple model to mea- sure normal tissue complication has nished and some meaningful results have received.
Another important issue in tumor radiation treatment is the normal tissue damage. A common used model to measure the expected damage on healthy tissue is the normal tissue complication probability (NTCP). I also derived a NTCP model including nonlinear regrowth by the birth-death process process.