Cdk 1 Cyclin P IE P Cdc 25

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Cdk 1 Cyclin P IE P Cdc 25 OFF APC Cdc 25 IE ON

Cdk 1 Cyclin P IE P Cdc 25 OFF APC Cdc 25 IE ON APC P Cdk 1 Cyclin Wee 1 P Goal: Develop a collection of differential equations to represent the above system

k 1 Cdk 1 Cyclin P IE APC OFF k 3 P Cdc 25

k 1 Cdk 1 Cyclin P IE APC OFF k 3 P Cdc 25 IE ON APC P Cdk 1 Cyclin Wee 1 P Simple Law of Mass Action: AA -> AA + Cyclin k 1 Cyclin + Cdk 1 -> MPF k 3

AA -> AA + Cyclin k 1 Cyclin + Cdk 1 -> MPF k

AA -> AA + Cyclin k 1 Cyclin + Cdk 1 -> MPF k 3

Cdk 1 Cyclin P IE P Cdc 25 APC OFF Cdc 25 IE ON

Cdk 1 Cyclin P IE P Cdc 25 APC OFF Cdc 25 IE ON APC P Cdk 1 Cyclin P Cdk 1 V 21, V 22 Cyclin V 21, V 22 Wee 1 P Mass Action with APC State-Dependent Rates: V 21: APC is off V 22: APC is on

Two rules for each form of cyclin: Cyclin + APCoff -> AA + APCoff

Two rules for each form of cyclin: Cyclin + APCoff -> AA + APCoff Cyclin + APCon -> AA +APCon MPF + APCoff -> AA + Cdk + APCoff MPF + APCon -> AA + Cdk + APCon Pre. MPF + APCoff -> AA + Cdk + APCoff Pre. MPF + APCon -> AA + Cdk + APCon V 21 V 22

Cdk 1 Cyclin P APC IE kg, Kg kb, Kb P Cdc 25 kh,

Cdk 1 Cyclin P APC IE kg, Kg kb, Kb P Cdc 25 kh, Kh kc, Kc Cdc 25 ka, Ka OFF kd, Kd IE ON APC P Cdk 1 P P Cdk 1 Cyclin ke, Ke Wee 1 P kf, Kf Catalytic Reactions

All of these reactions work the same way: Cdc 25 U + MPF ->

All of these reactions work the same way: Cdc 25 U + MPF -> Cdc 25 P + MPF Cdc 25 P + PPase -> Cdc 25 U + PPase APCoff + IEP -> APCon+IEP APCon + PPase -> APCoff + PPase Wee 1 U + MPF -> Wee 1 P + MPF Wee 1 P + PPase->Wee 1 U+PPase IEU+MPF->IEP+MPF IEP+PPase->IEU+PPase ka, Ka kb, Kb kc, Kc kd, Kd ke, Ke kf, Kf kg, Kg kh, Kh

Cdk 1 Cyclin P IE P Cdc 25 APC OFF Cdc 25 IE ON

Cdk 1 Cyclin P IE P Cdc 25 APC OFF Cdc 25 IE ON APC P Cdk 1 Cyclin Wee 1 P The MPF/Pre. MPF Reactions

MPF + Wee 1 P -> Pre. MPF+Wee 1 P MPF +Wee 1 U

MPF + Wee 1 P -> Pre. MPF+Wee 1 P MPF +Wee 1 U -> Pre. MPF+Wee 1 U Pre. MPF+Cdc 25 P -> MPF +Cdc 25 P Pre. MPF+Cdc 25 U -> MPF+Cdc 25 U Vwee 1 Vwee 2 V 251

Figure 2 from Sible et al, Methods 41, 2007

Figure 2 from Sible et al, Methods 41, 2007