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SUMMARY:Teaching nonlinear dynamics to biologists - Professor Alan Garfink
el (Newton-Abraham Visiting Professor\, Department of Computer Science\, U
niversity of Oxford\, 2019-2020\, Professor of Medicine\, University of Ca
lifornia\, Los Angeles)
DTSTART;VALUE=DATE-TIME:20200605T140000
DTEND;VALUE=DATE-TIME:20200605T150000
UID:https://talks.ox.ac.uk/talks/id/4bb36fd1-5d04-4b04-b14d-2333f6a5b731/
DESCRIPTION:There is a need for a new kind of maths course\, to be taught\
, not to mathematics students\, but to biologists with little or no maths
background. There have been many recent calls for an upgrade to the mathem
atical background of biologists: undergraduate biology students need to un
derstand the role of modeling and dynamics in understanding ecological sys
tems\, evolutionary dynamics\, neuroscience\, physiology\, epidemiology\,
and the modeling that underlies the concept of climate change. They also n
eed to understand the importance of feedback\, both positive and negative\
, in creating dynamical systems in biology.\n\n Such a course is possible.
The most important foundational development was the 20th century replacem
ent of the vague and unhelpful concept of a differential equation by the r
igorous geometric concept of a vector field\, a function from a multidimen
sional state space to its tangent space\, assigning “change vectors” t
o every point in state space. This twentieth-century concept is not just m
ore rigorous\, but in fact makes for superior pedagogy. We also discuss th
e key nonlinear behaviors that biological systems display\, such as switch
-like behavior\, robust oscillations and even chaotic behavior.\n\n This t
alk will outline such a course. It would have a significant effect on the
conduct of biological research and teaching\, and bring the usefulness of
mathematical modeling to a wide audience.\nSpeakers:\nProfessor Alan Garfi
nkel (Newton-Abraham Visiting Professor\, Department of Computer Science\,
University of Oxford\, 2019-2020\, Professor of Medicine\, University of
California\, Los Angeles)
LOCATION:Venue to be announced
URL:https://talks.ox.ac.uk/talks/id/4bb36fd1-5d04-4b04-b14d-2333f6a5b731/
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DESCRIPTION:Talk:Teaching nonlinear dynamics to biologists - Professor Ala
n Garfinkel (Newton-Abraham Visiting Professor\, Department of Computer Sc
ience\, University of Oxford\, 2019-2020\, Professor of Medicine\, Univers
ity of California\, Los Angeles)
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