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DTSTART:20171105T020000
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UID:calendar.98171.field_date.0@www.wpi.edu
DTSTAMP:20200702T165758Z
CREATED:20180311T145335Z
DESCRIPTION:Description of Event: \n\n\n\nColloquium\nPeter Thomas\nCase We
stern Reserve University\nDepartment of Mathematics\, Applied Mathematics
and Statistics (primary)\nDepartment of Biology\; Department of Cognitive
Science\nDepartment of Electrical Engineering and Computer Science (second
ary)\n\n\n\nMathematical Modeling and Systems Biology: Mechanisms\, Stocha
stic Phenomena\, and Dimension Reduction\n\n\n\nABSTRACT: The discipline o
f systems biology arose through the application of large-scale computation
al and analytical methods\, originating in systems engineering\, to quanti
tative biology. In the talk I will discuss examples from my own work in w
hich mathematical modeling contributes to understand biological systems. 1
. In collaboration with neurophysiologist C. Wilson\, we showed that the d
ynamical mechanism underlying robust generation of the respiratory rhythm
by central pattern generator circuits in the brainstem may be fundamentall
y different in the open-loop case (corresponding to classic ex vivo studie
s) than in the closed-loop case (i.e. in vivo) [Diekman et al\, 2017]. 2.
In collaboration with theoretical biophysicist B. Lindner\, we have shown
how to adapt phase reduction methods for biological oscillators to the ca
se of stochastic oscillators systems\, such as arise in hybrid Markov mode
ls of randomly gating ion channels in electrically active membranes in ner
ve cells [Thomas and Lindner\, 2014\, Anderson et al 2015]. 3. In a differ
ent type of dimension reduction\, neuroscientist R. Galan and I are analyz
ing stochastic shielding approximation methods for accurately simplifying
stochastic network models. By identifying optimal projections within the s
ample space we find reduced complexity models of neural systems with minim
al error along sample paths [Schmandt and Galan 2012\, Schmidt and Thomas
2014\, Schmidt et al 2018]. 4. Accurate complexity reduction methods for
stochastic processes have broad potential application within systems biolo
gy\, for instance in understanding signal transduction pathways. With inf
ormation theorist A. Eckford\, I pioneered the development of exactly solv
able communications channel models specific to signal transduction [Thomas
and Eckford 2016].\n\n\n\nReferences:\n\n\n\nAnderson\, David F.\, Bard E
rmentrout\, and Peter J. Thomas. 'Stochastic\nrepresentations of ion chann
el kinetics and exact stochastic simulation\nof neuronal dynamics.' Journa
l of computational neuroscience 38.1\n(2015): 67-82.\n\n\n\nDiekman\, Case
y O.\, Peter J. Thomas\, and Christopher G. Wilson. 'Eupnea\,\ntachypnea\,
and autoresuscitation in a closed-loop respiratory control\nmodel.' Journ
al of Neurophysiology 118.4 (2017): 2194-2215.\n\n\n\nSchmandt\, Nicolaus
T.\, and Roberto F. Galán. 'Stochastic-shielding\napproximation of Markov
chains and its application to efficiently\nsimulate random ion-channel gat
ing.' Physical review letters 109.11\n(2012): 118101.\n\n\n\nSchmidt\, Dee
na R.\, and Peter J. Thomas. 'Measuring edge importance: a\nquantitative a
nalysis of the stochastic shielding approximation for\nrandom processes on
graphs.' The Journal of Mathematical Neuroscience\n4.1 (2014): 6.\n\n\n\n
Schmidt\, Deena R.\, Roberto F. Galán\, and Peter J. Thomas. 'Stochastic\n
Shielding and Edge Importance for Markov Chains with Timescale\nSeparation
.' in revision\, 2018.\n\n\n\nThomas\, Peter J.\, and Benjamin Lindner. 'A
symptotic phase for stochastic\noscillators.' Physical review letters 113.
25 (2014): 254101.\n\n\n\nThomas\, Peter J.\, and Andrew W. Eckford. 'Capa
city of a simple\nintercellular signal transduction channel.' IEEE Transac
tions on\ninformation Theory 62.12 (2016): 7358-7382.\n\n\n\nThomas\, Pete
r J.\, and Andrew W. Eckford. 'Shannon capacity of signal\ntransduction fo
r multiple independent receptors.' Information Theory\n(ISIT)\, 2016 IEEE
International Symposium on. IEEE\, 2016.\n\n\n\nJoint work with \n\n\n\nC.
Diekman (New Jersey Institute of Technology)\n\n\n\nA. Eckford (York Univ
ersity\, Toronto\, Canada)\n\n\n\nR. Galan (Case Western Reserve Universit
y)\n\n\n\nB. Lindner (Humboldt University\, Berlin\, Germany)\n\n\n\nD. Sc
hmidt (University of Nevada\, Reno)\n\n\n\nC. Wilson (Loma Linda Universit
y)
DTSTART;TZID=America/New_York:20180321T150000
DTEND;TZID=America/New_York:20180321T170000
LAST-MODIFIED:20180315T162508Z
LOCATION:Higgins Laboratories
SUMMARY:Mathematical Sciences - Colloquium - 'Mathematical Modeling and Sys
tems Biology: Mechanisms\, Stochastic Phenomena\, and Dimension Reduction'
by Peter Thomas (Case Western Reserve University) - HL218
URL;TYPE=URI:https://www.wpi.edu/news/calendar/events/mathematical-sciences
-colloquium-mathematical-modeling-and-systems-biology
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