LecturesPart21

LecturesPart21 - Computational Biology, Part 21 Cell Cycle...

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Unformatted text preview: Computational Biology, Part 21 Cell Cycle Modeling Robert F. Murphy Copyright 2005-2006. All rights reserved. Assigned Reading s Computational Cell Biology by Fall et al, Chapter 10 through section 10.5 (handed out in class) Cell Cycle model s Rise in cyclin/Cdk triggers transition to S phase s Also causes inhibition of active APC s Active APC degrades cyclin Cell Cycle model dX = k1 - ( k 2 + k2Y )X dt dY ( k 3 + k 3 A)(1- Y ) k 4 mXY = dt J 3 + 1- Y J4 + Y X=cyclin/CDK dimer Y=active Cdh1/APC complex m=cell mass A=Cdh1 activator Cyclin/Cdk vs. APC phase plane s (Maple worksheet CompCellBiolFigure103.mw) Bifurcation of cyclin/Cdk vs. "p" phase plane s (Maple worksheet CompCellBiolFigure104.mw) Cell Cycle model dX = k1 - ( k 2 + k2Y )X dt dY ( k 3 + k 3 A)(1- Y ) k 4 mXY = dt J 3 + 1- Y J4 + Y dA k5 (mX) n = k5 + n - k6 A n dt J 5 + (mX ) dm m = mm(1) dt m* X=cyclin/CDK dimer Y=active Cdh1/APC complex m=cell mass A=Cdh1 activator Kinetics of cell cycle changes in cyclin and APC s (Maple worksheet CompCellBiolFigure106.mw) ...
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