Graduate Course in Mathematical Oncology
Description
The Fields Graduate Course in Mathematical Oncology will introduce mathematical methods that are used in the modelling of cancer. Starting from the Hallmarks of Cancer, we will encounter various mathematical approaches such as differential equations, partial differential equations, dynamical systems, and stochastic processes, which allow us to model the various aspects of cancer growth and treatment. We will study models for tumor growth, metastasis, angiogenesis, immune responses, treatment resistances as well as treatments such as chemotherapy, radiation therapy, immuno therapies, oncolytic virotherapy, and evolutionary therapies. The course includes a number of case studies presented by guest lecturers.
This course will be taught by Professor Thomas Hillen (University of Alberta).
For those students who are interested in getting credit for this course, homework and project work will be assigned. For questions please contact Dr. Hillen at
.
Schedule
10:00 to 11:30 |
Introduction, outline, cancer hallmarks
Thomas Hillen, University of Alberta Location:online |
10:00 to 11:30 |
A predators view on dynamical systems
Thomas Hillen, University of Alberta Location:online |
10:00 to 11:30 |
Predator prey and epidemics
Thomas Hillen, University of Alberta |
10:00 to 11:30 |
R_0, and nondimensionalizations
Thomas Hillen, University of Alberta |
10:00 to 11:30 |
Workshop on Cancer Treatment
|
10:00 to 11:30 |
Thomas Hillen, University of Alberta |
10:00 to 11:30 |
Parameter estimations and Likelihood
Thomas Hillen, University of Alberta |
10:00 to 11:30 |
Thomas Hillen, University of Alberta |
10:00 to 11:30 |
Workshop on Cancer Ecology
Thomas Hillen, University of Alberta |
10:00 to 11:30 |
Thomas Hillen, University of Alberta |
10:00 to 11:30 |
Cancer stem cells I
Natalia Komarova, University of California, Irvine Location:Online |
10:00 to 11:30 |
Cancer stem cells II
Natalia Komarova, University of California, Irvine Location:Online |
10:00 to 11:30 |
Biochemical reaction kinetics and Michaelis-Menten
Thomas Hillen, University of Alberta |
10:00 to 11:30 |
Singular perturbation and the Tumor Growth Paradox
Thomas Hillen, University of Alberta |
10:00 to 11:30 |
Workshop on Immune response - No Class
|
10:00 to 11:30 |
Thomas Hillen, University of Alberta |
10:00 to 11:30 |
Stochastic processes
Thomas Hillen, University of Alberta |
10:00 to 11:30 |
Radiation treatment and the Tumor Control Probability
Thomas Hillen, University of Alberta |
10:00 to 11:30 |
Spatial models, Fokker-Planck, reaction-advection-diffusion equations
Thomas Hillen, University of Alberta |
10:00 to 11:30 |
Critical domain size and travelling waves
Thomas Hillen, University of Alberta |
10:00 to 11:30 |
Angiogenesis I
Mark Chaplain, University of St Andrews Location:Online |
10:00 to 11:30 |
Angiogenesis II
Mark Chaplain, University of St Andrews Location:Online |
10:00 to 11:30 |
Tissue mechanics I
L Preziosi Location:Online |
10:00 to 11:30 |
Tissue mechanics II
L Preziosi |
10:00 to 11:30 |
Guest Lecture TBA
|
10:00 to 11:30 |
Guest Lecture TBA
|
10:00 to 11:30 |
Glioma modelling
Thomas Hillen, University of Alberta |
10:00 to 11:30 |
Thomas Hillen, University of Alberta |