Teaching 2016 / 2017

January to May, 2017, Monday / Wednesday, 13:00 – 14:30, room 2131, building 9:
I am giving a special topics course on mathematical biology. This course will focus on modeling and analysis of mathematical models for a variety of topics in population biology, and in the biomedical sciences including single and competing species ecological models, enzyme reaction kinetics, epidemiology, and infectious diseases. Towards the end, we will study phenotype-structured populations and adaptive evolution.
The course is based on
J. D. Murray, Mathematical Biology, 3rd edition, Volume I
and the first part of
Mathematical Biology and Ecology Lecture Notes.

Course Schedule:
Week 2, 29.01. Q&A, Example sheet solving, Delay equationsMatlab code
Week 3, 05.02. Delay equations, Matlab code, Harvesting models: constant yield / constant effort
Week 4, 12.02. Student research flash I,
Guest lecture by Tommaso Lorenzi, Building 1, Level 4, Room 4214
Week 5, 19.02. Student research flash II,
Recommended reading: please check the pdf on Google Drive.
Background on cancer: Hallmarks of Cancer: The Next GenerationHallmarks of Cancer
Week 6, 27.02. Q&A on the project, presentation on my research relevant to the project
Week 7, 05.03. Q&A on the project, presentation on my research relevant to the project: models for populations structured by a resistance phenotype, Resistance in bacteria – video
Week 8, 12.03. TeX code of Task Set I of the project now on Google Drive.
Students presenting project (Task Set I),
BEST OF LUCK for the presentations!
Week 9, 19.03. Task Set II of the project now on Google Drive.
Follow-up discussion on Task Set I,
Presentation on my research relevant to the project: combination therapy
Week 10, 26.03. Students presenting project (Task Set II)
Week 11, 09.04. Students presenting project (Task Set II),
BEST OF LUCK for the presentations!
Follow-up discussion on Task Set II
Week 12, 16.04. Follow-up discussion on Task Set II,
6-page manuscript template on Overleaf,
Guest lecture by Dana-Adriana Botesteanu (University of Maryland, College Park)
Recommended reading section added at the end of the manuscript template
Week 13, 23.04. Collaborative work on project (discussion of results, numerical scheme, coding, choice of parameters)
Week 14, 30.04. Students presenting preliminary results and work on project
Week 15, 07.05. Collaborative work on project (discussion of results, numerical scheme, coding, choice of parameters)

 
This was the last week of class. It was a pleasure having you in this class. You can be very proud of what you have achieved. BEST OF LUCK for the exams next week. Have a great summer.

 

Method of evaluation:
40% Homework to be presented on the blackboard
60% Final Project
The project will be given by week 6 of the course. It will involve finding the numerical solutions to modeling systems, writing a short report about the approach and presenting the results in the last week of the course.
I reserve the right to make changes as necessary.