Graduate course in Fall 2021: advanced topics in mathematical biology I
(MATH681, TR 4:30-5:45pm)
There are many uses of mathematical modeling in biology. Typically, one
comes up with a question about a specific system and then develops a
mathematical model of that system. Studying the model may bring insights
into functioning of the original (biological) system and perhaps allows
to answer the original question. Many aspects of this modeling process
are not always discussed: How well does the model represent the system?
What are alternative models that may be appropriate to model the system?
How can one discriminate between such alternative models? What data
about the system can be useful to parameterize the models? If you are
interested in learning methods to answer these questions, then the
course MATH681 offered in Fall 2021 is for you.
In this course we will review some basic mathematical models that are
used in mathematical biology, discuss process of how experimental data
from biological experiments are generated, and learn how one can use
such data to parameterize the models by fitting models to data. Course
participant will also learn the need to consider alternative
mathematical models and the tools that allow one to discriminate between
alternative models. In the course we will be using examples of the data
and models from peer-reviewed literature and the course will involve
many hands-on examples using R. Course participants will be divided into
groups and each group will have the opportunity to select an
experimental dataset (from a provided list) for which the group will
develop mathematical model(s), fit the models to data, make inferences,
and write a report. Such a report may eventually be submitted for
publication and may form a part of the dissertation. While the primary
programming language for the course will be R, groups will be free to
utilize any other, preferably open source programming language for their
projects.
If you have any questions regarding the course and its planned format,
please contact the course Instructor, Vitaly V. Ganusov ([log in to unmask])
Vitaly
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Vitaly V. Ganusov
Associate Professor
1311 Cumberland Avenue
307 Ken and Blaire Mossman Building
Department of Microbiology
Department of Mathematics
University of Tennessee
Knoxville, TN 37996-1937
USA
Phone: +1 865 974-4547
FAX: +1 865 974-4007
http://ganusovlab.utk.edu
“So long as man remains free he strives for nothing more so incessantly and so painfully as to find something to worship.“ Feodor Dostoevsky
“It is impossible to speak in such a way that you cannot be misunderstood.” Karl Popper
“Science may be described as the art of systematic over-simplification.” Karl Popper
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