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Mathematics, Biomedicine and Nonlinearities:
Modeling versus Science Fiction
The presentation will give a
general overview on some aspects of mathematical modeling in
the life sciences and medicine. Examples will be drawn from
diverse fields to reinforce the dire need for quantitative
reasoning in the aforementioned disciplines, which have been
considered within certain circles as "non-mathematical
areas" and/or "mathematics has no place here." An attempt
will be made to address the need to build realistic,
testable models without which modeling results might be
nothing more than science fiction. This talk will focus on
the art of genuine mathematical modeling with examples drawn
from cell, muscle, renal and developmental biology. This
interdisciplinary modeling challenge will attempt to present
realistic model mechanisms, based upon experiments, which
capture some of the key pathophysiological, biochemical and
mechanical processes that may be involved in the dynamic
processes. The speaker will discuss extensions to some of
the models, together with some recent experimental work
stimulated by the mathematics.
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