The Fields Institute is not a degree granting institute, hence we can only give you a graded certificate. You need to take this certificate to your home University and ask for a transfer credit. I know that the graduate program at my University would accept it, but the regulations at other Universities are different. Please speak to your graduate coordinator.
Participants from universities and from Industry or Government are welcome, and there is no registration fee for this course
Six evaluations of plenary talks: 12 % (link to evaluation form)
Grant proposal of your term project, deadline (TBA, sometime End of September): 28%
Blitz presentation of your term project, Sept. 26, 10 AM: 10%
Final report of your term project, due December 5th 10 AM: 50%
(The exact dates will be fixed before the course starts)
You are allowed to collaborate on the research projects. It is also fine to use AI and ChatGPT, but if you do, please indicate clearly where and how you used it.
My contact: Thomas Hillen, University of Alberta, thillen@ualberta.ca
During the course you have to hand in six evaluation forms for plenary talks of the workshops of the Thematic Program in Mathematical Oncology. You can choose the talks you like to summarize from the following five workshops:
The Mathematics of the Hallmarks of Cancer, August 19-13, 2024
Mathematical Modelling of Cancer Treatments, Resistance, Optimization, September 16 - 20, 2024
Frontiers in Computational and Mathematical Medicine, September 23 - 24, 2024
The Ecology and Evolution of Cancer, September 30 - October 4, 2024
Mathematical Modelling of Tumour Immune Dynamics and Immunotherapies, October 21 - 25, 2024
To have access to these workshops you need to register. If you come in person, then you need to pay $95 (for workshops 1,2,4,5) or $50 (for workshop 3) . If you attend remotely, then there is no fee.
due: TBA (late September)
You should assume, hypothetically, that I have 100,000 Dollars to give out as a research grant. You can apply for this hypothetical funding. Please submit a 3-page grant proposal, which contains:
Title
Applicant Name
Summary
Background
Research Objectives
Significance for Society
Considerations for Equity, Diversity, and Inclusion
Budget (how is the money used?)
References can be on an extra page.
Your writing should be directed at a granting agency where the review panel consists of intelligent scientists of various areas, not necessarily experts in mathematical oncology.
During class on TBA you have 4 Minutes to present your proposal to the class. Your presentation should be directed at your peers (an intelligent audience with a solid foundation in mathematical oncology). Your presentation should address the following questions (not necessarily in this order):
What topic will you be working on?
What is the context of your topic (historical context and/or real-life application, as appropriate)?
What specific questions will you focus on in your investigation?
What is the relevance/significance of these questions?
You will be evaluated on the presentation and on the ability to repond to questions.
Write a scientific paper that summarizes the results of your project. The paper should be directed at your peers (an intelligent audience with a solid foundation in mathematical oncology) and should include the following elements:
A specific title that reflects the content of the paper.
An abstract that captures the essence of the paper.
An introduction that provides context for the research, states the problem being investigated, outlines the method/approach used to investigate the problem, and gives an overview of the results.
A body containing a thorough description of the method/approach and a logical presentation of the results.
Where appropriate, figures and tables that support the arguments in the text. These should include description captions that allow them to stand alone from the text.
A discussion that summarizes the investigation, interprets the results and indicates their significance for the reader, identifies limitations of the research, and suggests directions for future investigation.
Appropriate in-text citations and a bibliography.
This section includes key papers and documents essential for the Mathematical Oncology course. Review these materials for important background and context for your research and coursework.
Advancing cancer drug development with mechanistic mathematical modeling: bridging the gap between theory and practice Alexander Kulesza 1· Claire Couty 1· Paul Lemarre 1· Craig J. Thalhauser 2· Yanguang Cao
This paper explores how mathematical modeling can be used to advance cancer drug development, bridging theoretical concepts with practical applications. https://link.springer.com/article/10.1007/s10928-024-09930-x
Hallmarks of Cancer: New Dimensions Hanahan, D. (2022). Cancer Discovery, 12, 31–46. This paper updates the foundational "Hallmarks of Cancer" framework to include new insights and dimensions. https://aacrjournals.org/cancerdiscovery/article/12/1/31/675608/Hallmarks-of-Cancer-New-DimensionsHallmarks-of
The Hallmarks of Cancer Hanahan, D., Weinberg, R. (2000). Cell, 100(1), 57–70. This seminal paper outlines the original hallmarks of cancer, providing a comprehensive overview of cancer biology.https://www.sciencedirect.com/science/article/pii/S0092867400816839? via%3Dihub
4. Hallmarks of Cancer: The Next Generation Hanahan, D., Weinberg, R. (2011). Cell, 144, 646–674. This paper extends the original hallmarks of cancer framework, introducing new perspectives and considerations. https://www.cell.com/fulltext/S0092-8674(11)00127-9
5. Geometric Singular Perturbation Theory in Biological Practice . Geertje Hek ., (2010) Volume 60, pages 347–386.
This paper discusses the application of geometric singular perturbation theory to biological problems, providing insights into how complex biological systems can be simplified and understood through mathematical frameworks.pure.uva.nl/ws/files/820517/73185_315218.pdf
6. Implications of immune-mediated metastatic growth on metastatic dormancy, blow-up, early detection, and treatment. Rhodes, A., Hillen, T. (2020). Journal of Mathematical Biology, 81:799–843.
This paper explores the influence of immune responses on metastatic growth and dormancy, discussing concepts like metastatic blow-up and treatment possibilities through an ordinary differential equation model.
https://doi.org/10.1007/s00285-020-01521-x
7. A Course in Mathematical Biology: Quantitative Modeling with Mathematical and Computational Methods. Muller, J., de Vries, G., Hillen, T., Lewis, M., Schonfisch, B. (2006).
This book provides a comprehensive introduction to mathematical biology, covering analytical and computational methods with examples and project suggestions for undergraduate students.
https://www.amazon.com/dp/1852339210
8. A User’s Guide to PDE Models for Chemotaxis
Hillen, T., Painter, K. J. (2009). Journal of Mathematical Biology, 58, 183–217.
This paper provides an in-depth exploration of PDE models for chemotaxis, focusing on the influential Keller-Segel model. The authors examine various model formulations and discuss their biological relevance, mathematical behavior, and pattern formation, highlighting key properties such as finite-time blow-up and global solution conditions.
link.springer.com/article/10.1007/s00285-008-0201-3
9. Diffusion and Ecological Problems: Modern Perspectives (Second Edition)
Okubo, A., Levin, S. A. (2001). Springer-Verlag.
This book offers a comprehensive examination of diffusion processes in ecology, with applications to population dynamics, resource distribution, and ecological interactions. It is a key resource for understanding the role of diffusion in spatial and temporal ecological patterns.
https://link.springer.com/book/10.1007/978-1-4757-4978-7