Computational Biology, Part 18 Cell Cycle ModelingAssigned ReadingCell Cycle modelSlide 4Cyclin/Cdk vs. APC phase planeBifurcation of cyclin/Cdk vs. “p” phase planeSlide 7Kinetics of cell cycle changes in cyclin and APCComputational Biology, Part 18Cell Cycle ModelingComputational Biology, Part 18Cell Cycle ModelingRobert F. MurphyRobert F. MurphyCopyright Copyright 2005-2008. 2005-2008.All rights reserved.All rights reserved.Assigned ReadingAssigned ReadingComputational Cell Biology by Fall et al, Computational Cell Biology by Fall et al, Chapter 10 through section 10.5 (handed Chapter 10 through section 10.5 (handed out in class)out in class)Cell Cycle modelCell Cycle modelRise in Rise in cyclin/Cdk cyclin/Cdk triggers triggers transition to S transition to S phasephaseAlso causes Also causes inhibition of inhibition of active APCactive APCActive APC Active APC degrades cyclindegrades cyclinCell Cycle modelCell Cycle model€ dXdt= k1− ( ′k 2+ ′ ′k 2Y)XdYdt=( ′k 3+ ′ ′k 3A)(1−Y)J3+1−Y−k4mXYJ4+ YX=cyclin/CDK dimerY=active Cdh1/APC complexm=cell massA=Cdh1 activatorCyclin/Cdk vs. APC phase planeCyclin/Cdk vs. APC phase plane(Maple worksheet CompCellBiolFigure10-(Maple worksheet CompCellBiolFigure10-3.mw)3.mw)Bifurcation of cyclin/Cdk vs. “p” phase planeBifurcation of cyclin/Cdk vs. “p” phase plane(Maple worksheet CompCellBiolFigure10-(Maple worksheet CompCellBiolFigure10-4.mw)4.mw)Cell Cycle modelCell Cycle model€ dXdt= k1− ( ′k 2+ ′ ′k 2Y)XdYdt=( ′k 3+ ′ ′k 3A)(1−Y)J3+1−Y−k4mXYJ4+ YX=cyclin/CDK dimerY=active Cdh1/APC complexm=cell massA=Cdh1 activator€ dAdt= ′k 5+ ′ ′k 5(mX)nJ5n+ (mX)n− k6Admdt= μm(1−mm*)Kinetics of cell cycle changes in cyclin and APCKinetics of cell cycle changes in cyclin and APC(Maple worksheet CompCellBiolFigure10-(Maple worksheet
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