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UID:645d12927944f79d6efe4b038fb3f3b4
CATEGORIES:Applied and Computational Math Seminar
CREATED:20230226T224235
SUMMARY:Computing the Global Dynamics of Parameterized Systems of ODEs
LOCATION:Hill 705
DESCRIPTION:<p><span style="color: #000000; font-family: Calibri, Arial, Helvetica, san
 s-serif; font-size: 16px; font-style: normal; font-weight: 400; letter-spac
 ing: normal; orphans: 2; text-align: start; text-indent: 0px; text-transfor
 m: none; white-space: normal; widows: 2; word-spacing: 0px; background-colo
 r: #ffffff; float: none;">We present a combinatorial topological method to 
 compute the dynamics of a parameterized family of ODEs. A discretization of
  the state space of the systems is used to construct a combinatorial repres
 entation from which recurrent versus non-recurrent dynamics is extracted. A
 lgebraic topology is then used to validate and characterize the dynamics of
  the system. We will discuss the combinatorial description and the algebrai
 c topological computations and will present applications to the dynamics of
  gene regulatory networks.</span></p>
CONTACT:Marcio Gameiro
DTSTAMP:20260828T103948
DTSTART;TZID=America/New_York:20230228T110000
DTEND;TZID=America/New_York:20230228T120000
SEQUENCE:0
TRANSP:OPAQUE
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