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Analysis and PDE

Analysis Group Seminar

Next Tuesday, September 8, Dept. of Mathematics, room 640 at 14.15

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Speaker: master studentÌýKsenia LavrichenkoÌý(±«¾±µþ)

°Õ¾±³Ù±ô±ð:Ìý"Investigation of phase portraits of three-dimensional models ofÌýgene networks"

Ìý

Abstract.Ìý

  • Motivation:ÌýPrediction of regimes of molecular-genetic system functioning byÌýstructural andÌýfunctional organization of a system is one of the key problems in theÌýfields of bioinformatics studying gene network functioning. To addressÌýthis problem, it is necessary to perform theoretical studies ofÌýfunctioning of gene networks’ regulatory contours and to reveal theirÌýgeneral regularities, which determine the presence or absence of abilityÌýto support stationary, cyclic, or other, more complex regimes ofÌýfunctioning.
  • Results:ÌýPresence and stability of the limit cycles and stationary points ofÌýsmall amplitude resulting from the Andronov–Hopf bifurcation wereÌýstudied in a system of ordinary differential equations which describesÌýthe behavior of a three-dimensional hypothetical gene regulatory network.

Information on previous seminars can be found here.