Stochastic models related to tumor control probability and the probability of cure II - random dynamics of clusters of surviving clonogens
This is the continuation of
https://www.youtube.com/watch?v=tjoyXUYP38A
In the second part, we consider the evolving clusters of random size comprised of the surviving clonogens which undergo fractionated irradiation treatment. We describe properties of relevant probability laws relating them to those of the cluster sizes of the "lucky" (surviving) cancer cells. We discuss approximations for random numbers of clonogens and their long-time evolution after the end of the irradiation treatment. We conclude by approximating the probability of cure.
Bio: Vladimir Vinogradov is a Canadian-American mathematician born and educated in the former Soviet Union. Dr. Vinogradov holds a Professor - status-only appointment at the University of Toronto, Scarborough. He is a Professor of Mathematics at Ohio University in Athens, Ohio. He earned his M.Sc. in Mathematics and Ph.D. in Probability and Statistics from Moscow State University with his dissertation published in his monograph "Refined Large Deviation Limit Theorems". Professor Vinogradov has taught in various post-secondary institutions of Canada, Japan, Russia and U.S.A., and held an NSERC Canada postdoctoral fellowship at Carleton University. His research focuses on various topics of Probability Theory, Stochastic Processes, Mathematical Statistics, Mathematical Oncology, Analysis and Financial Mathematics. Professor Vinogradov has published articles in many professional journals and presents frequently at national and international conferences. He has been recipient of a British Columbia – Asia Pacific Scholars' Award, and served on the Ontario Graduate Scholarships Committee as well as NSERC Canada external reviewer and graduate coordinator at the University of Northern British Columbia. Professor Vinogradov is advisor to Actuarial Science and Mathematical Statistics majors.
