Cdk1 Cyclin P IE P Cdc25 APC OFF Cdc25 IE ON APC P Cdk1 P Cdk1 Cyclin P Cdk1 Cyclin Wee1 Wee1 P Goal: Develop a collection of differential equations to represent the above system.
Download ReportTranscript Cdk1 Cyclin P IE P Cdc25 APC OFF Cdc25 IE ON APC P Cdk1 P Cdk1 Cyclin P Cdk1 Cyclin Wee1 Wee1 P Goal: Develop a collection of differential equations to represent the above system.
Cdk1 Cyclin P IE P Cdc25 APC OFF Cdc25 IE ON APC P Cdk1 P Cdk1 Cyclin P Cdk1 Cyclin Wee1 Wee1 P Goal: Develop a collection of differential equations to represent the above system k1 Cdk1 Cyclin P IE APC OFF k3 P Cdc25 Cdc25 IE ON APC P Cdk1 P Cdk1 Cyclin P Cdk1 Cyclin Wee1 Wee1 P Simple Law of Mass Action: AA -> AA + Cyclin k1 Cyclin + Cdk1 -> MPF k3 AA -> AA + Cyclin k1 Cyclin + Cdk1 -> MPF k3 Cdk1 Cyclin P IE P Cdc25 APC OFF Cdc25 IE ON APC P Cdk1 P Cdk1 Cyclin P Cdk1 V21,V22 Cyclin V21,V22 Wee1 Wee1 P Mass Action with APC State-Dependent Rates: V21: APC is off V22: APC is on 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 PreMPF + APCoff -> AA + Cdk + APCoff PreMPF + APCon -> AA + Cdk + APCon V21 V22 V21 V22 V21 V22 Cdk1 Cyclin P APC IE kg,Kg kh,Kh kb,Kb P Cdc25 kc,Kc Cdc25 ka,Ka OFF kd,Kd IE ON APC P Cdk1 P P Cdk1 Cyclin Cdk1 Cyclin ke,Ke Wee1 Wee1 P kf,Kf Catalytic Reactions All of these reactions work the same way: Cdc25U + MPF -> Cdc25P + MPF Cdc25P + PPase -> Cdc25U + PPase APCoff + IEP -> APCon+IEP APCon + PPase -> APCoff + PPase Wee1U + MPF -> Wee1P + MPF Wee1P + PPase->Wee1U+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 Cdk1 Cyclin P IE P Cdc25 APC OFF Cdc25 IE ON APC P Cdk1 P Cdk1 Cyclin P Cdk1 Cyclin Wee1 Wee1 P The MPF/PreMPF Reactions MPF + Wee1P -> PreMPF+Wee1P MPF +Wee1U -> PreMPF+Wee1U PreMPF+Cdc25P -> MPF +Cdc25P PreMPF+Cdc25U -> MPF+Cdc25U Vwee1 Vwee2 V252 V251 Figure 2 from Sible et al, Methods 41, 2007