LecturesPart18

LecturesPart18 - Computational Biology, Part 18 Cell Cycle...

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Unformatted text preview: Computational Biology, Part 18 Cell Cycle Modeling Robert F. Murphy Copyright © 2005-2009. Copyright All rights reserved. Assigned Reading s Computational Cell Biology by Fall et al, Computational Chapter 10 through section 10.5 (handed out in class) in Cell Cycle model s Rise in Rise cyclin/Cdk triggers transition to S phase phase s Also causes Also inhibition of active APC active s Active APC Active degrades cyclin degrades Cell Cycle model dX ¢¢ = k1 - ( k 2 + k2¢ ) X Y dt ¢ ¢A dY ( k 3 + k 3¢ )(1 - Y ) k 4 mXY = dt J3 + 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 + k2¢ ) X Y dt ¢ ¢A dY ( k 3 + k 3¢ )(1 - Y ) k 4 mXY = dt J3 + 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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