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dc.contributor.advisor Harer, John en_US
dc.contributor.advisor Mischaikow, Konstantin en_US
dc.contributor.author Jenista, Michael Joseph en_US
dc.date.accessioned 2011-01-06T16:03:42Z
dc.date.available 2011-01-06T16:03:42Z
dc.date.issued 2010 en_US
dc.identifier.uri http://hdl.handle.net/10161/3116
dc.description Dissertation en_US
dc.description.abstract <p>Switching networks are a common model for biological systems, especially</p><p>for genetic transcription networks. Stuart Kaufman originally proposed</p><p>the usefulness of the Boolean framework, but much of the dynamical </p><p>features there are not realizable in a continuous analogue. We introduce the notion</p><p>of braid-like dynamics as a bridge between Boolean and continuous dynamics and</p><p>study its importance in the local dynamics of ring and ring-like networks. We discuss</p><p>a near-theorem on the global dynamics of general feedback networks, and in the final</p><p>chapter study the main ideas of this thesis in models of a yeast cell transcription network.</p> en_US
dc.subject Mathematics en_US
dc.subject Boolean networks en_US
dc.subject dynamics en_US
dc.subject switching networks en_US
dc.title Dynamical Principles in Switching Networks en_US
dc.type Dissertation en_US
dc.department Mathematics en_US

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