Contents:
 Predator prey models and review of dynamical systems
methods
 Parameter estimation
 Biochemical reaction kinetics
 Sojourn time analysis and structured population models
 Modelling of cancer growth and treatment
 Reaction diffusion equations
 Chemotaxis
 Transport equations
 Applications to Ecology, Epidemiology, Cancer, Brain
Tumors, Wolf movement, Cell Movement
Grading:
Research Project:
Each student will be given a research project to work on
during the entire term.
 The first homework is to find a good research project
for this term. Please hand in a written 2page
description of your planned project by Jan 24, 2012
in class.
 (Midterm 30%) On Feb 16, 2012 your research
proposal
is due. Please give a short 1015 minute
presentation and a 34 page research proposal. Your
proposal should include the sections: Title, Abstract,
Background, Purpose of the Research Project, Methods
and Proposed Approach, Time Plan. Assume that
I am a granting agency and try to convince me that I
should invest lots of money into your project.
 (Final 50%) on April 5, in class: each
student will hand in a written documentation (about 6
10 pages) of his/her project work in LaTeX and give a
30 minute presentation. The presentations are on April
5, 10, 12 in class; the order of presentation is
selected randomly. I will disucss in class if we
want to have the final presentations in a retreat over
the weekend.
 (Homework assignments
20 %) There will be five homework assignments
of equal weight. They
are due on Jan 24, Feb 07, Mar 01, Mar 15, Mar 29
at the beginning of class.
Late assignments will not be accepted.
Students with a total percentage of more than 85% will
obtain A or better. The passing grade for a graduate class
is a C+, which is guaranteed with an overall performance of
at least 65%.
Tentative schedule:

Dr.
T. Hillen
Mathematical
and
Statistical
Sciences
University of Alberta
CAB 575
23395
thillen@ualberta.ca
Office hours: Tuesday and Wednesday 3:304:30 PM
in CAB 575. Further appointments can be made as
needed.
Webpage:
www.math.ualberta.ca/~thillen/winter12/math570.html
Textbook(s): (no
textbooks are required)
 Britton, Essential Mathematical
Biology, Springer, 2003
 Cantrell
and
Cosner, Spatial Ecology via ReactionDiffusion
Equations, Wiley,
 de
Vries, Hillen, Lewis, Müller, Schönfisch A
Course In Mathematical Biology, SIAM, 2006.
 Murray
I and II, Mathematical Biology, Springer
2003.
 Thieme,
Mathematics in Population Biology, Princeton
Univ. Press, 2003
 See
a reference list of textbooks at the end of de Vries
et al.
Assignments:
Assignment 1,
Jan 24, 2012


Assignment 2,
Feb 07, 2012


Assignment 3,
March 01, 2012 
Midterm info

Assignment 4,
March 15, 2012


Assignment 5,
March 29, 2012

Final info:

Academic integrity:
The
University of Alberta is committed to the highest
standards of academic integrity and honesty. Students are expected to
be familiar with these standards regarding
academic honesty and to uphold the policies of the
University in this respect. Students
are particularly urged to familiarize themselves
with the provisions of the Code of Student
Behaviour (online at
http://www.ualberta.ca/secretariat/appeals.htm)
and avoid any behaviour which could potentially
result in suspicions of cheating, plagiarism,
misrepresentation of facts and/or participation in
an offence. Academic
dishonesty is a serious offence and can result in
suspension or expulsion from the University.
Policy
about course outlines can be found in section
23.4(2) of the University Calendar.
