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UID:1d71917826aad6db63af9f2b9328046a
CATEGORIES:Applied and Computational Math Seminar
CREATED:20230819T143211
SUMMARY:Combinatorial structure of continuous dynamics in gene regulatory networks
LOCATION:Hill 705
DESCRIPTION:<p><span style="color: #242424; font-family: 'Segoe UI', 'Segoe UI Web (Wes
 t European)', 'Segoe UI', -apple-system, BlinkMacSystemFont, Roboto, 'Helve
 tica Neue', sans-serif; font-size: small; font-style: normal; font-weight: 
 400; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0p
 x; text-transform: none; widows: 2; word-spacing: 0px; white-space: normal;
  background-color: #ffffff; float: none;">We &nbsp;first describe the mathe
 matical foundation of DSGRN (Dynamic Signatures Generated by Regulatory Net
 works), an approach that provides a combinatorial description of global dyn
 amics of a network over its &nbsp;entire parameter space. Finite descriptio
 n allows comparison of parameterized dynamics between hundreds of networks 
 &nbsp;to &nbsp;discard networks that are not compatible with experimental d
 ata.&nbsp;</span><span style="color: #242424; font-family: 'Segoe UI', 'Seg
 oe UI Web (West European)', 'Segoe UI', -apple-system, BlinkMacSystemFont, 
 Roboto, 'Helvetica Neue', sans-serif; font-size: small; font-style: normal;
  font-weight: 400; letter-spacing: normal; orphans: 2; text-align: start; t
 ext-indent: 0px; text-transform: none; widows: 2; word-spacing: 0px; white-
 space: normal; background-color: #ffffff; float: none;">We &nbsp;describe a
  &nbsp;close connection of DSGRN &nbsp;to Boolean network models that allow
 s us to view DSGRN as a platform for bifurcation theory of Boolean maps. Fi
 nally, we describe current efforts to rigorously connect&nbsp;</span><span 
 style="color: #242424; font-family: 'Segoe UI', 'Segoe UI Web (West Europea
 n)', 'Segoe UI', -apple-system, BlinkMacSystemFont, Roboto, 'Helvetica Neue
 ', sans-serif; font-size: small; font-style: normal; font-weight: 400; lett
 er-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-t
 ransform: none; widows: 2; word-spacing: 0px; white-space: normal; backgrou
 nd-color: #ffffff; float: none;">the combinatorial structures to structure 
 of attractors of continuous ODE models of network dynamics.&nbsp;</span><sp
 an style="color: #242424; font-family: 'Segoe UI', 'Segoe UI Web (West Euro
 pean)', 'Segoe UI', -apple-system, BlinkMacSystemFont, Roboto, 'Helvetica N
 eue', sans-serif; font-size: small; font-style: normal; font-weight: 400; l
 etter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; tex
 t-transform: none; widows: 2; word-spacing: 0px; white-space: normal; backg
 round-color: #ffffff; float: none;">We discuss &nbsp;several applications o
 f this methodology &nbsp;to systems biology.</span></p>
CONTACT:Tomas Gedeon (Montana State University)
DTSTAMP:20260828T093746
DTSTART;TZID=America/New_York:20230926T110000
DTEND;TZID=America/New_York:20230926T120000
SEQUENCE:0
TRANSP:OPAQUE
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