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Cyclin

Cyclin. Cdk1. P. OFF. APC. IE. Cdk1. Cdk1. P. P. Cyclin. Cyclin. P. Cdc25. Cdc25. P. IE. ON. Cdk1. APC. P. Wee1. Wee1. Goal: Develop a collection of differential equations to represent the above system. Cyclin. Cdk1. k1. P. OFF. APC. IE. Cdk1. Cdk1. P. P. k3.

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Cyclin

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  1. Cyclin Cdk1 P OFF APC IE Cdk1 Cdk1 P P Cyclin Cyclin P Cdc25 Cdc25 P IE ON Cdk1 APC P Wee1 Wee1 Goal: Develop a collection of differential equations to represent the above system

  2. Cyclin Cdk1 k1 P OFF APC IE Cdk1 Cdk1 P P k3 Cyclin Cyclin P Cdc25 Cdc25 P IE ON Cdk1 APC P Wee1 Wee1 Simple Law of Mass Action: AA -> AA + Cyclin k1 Cyclin + Cdk1 -> MPF k3

  3. AA -> AA + Cyclin k1 Cyclin + Cdk1 -> MPF k3

  4. Cyclin Cdk1 P OFF APC IE Cdk1 Cdk1 P P Cyclin Cyclin P Cdc25 Cdc25 P IE ON Cdk1 APC V21,V22 V21,V22 P Wee1 Wee1 Mass Action with APC State-Dependent Rates: V21: APC is off V22: APC is on

  5. Two rules for each form of cyclin: Cyclin + APCoff -> AA + APCoff V21 Cyclin + APCon -> AA +APCon V22 MPF + APCoff -> AA + Cdk + APCoff V21 MPF + APCon -> AA + Cdk + APCon V22 PreMPF + APCoff -> AA + Cdk + APCoff V21 PreMPF + APCon -> AA + Cdk + APCon V22

  6. Cyclin Cdk1 P OFF APC IE Cdk1 Cdk1 P P kg,Kg kh,Kh kb,Kb Cyclin Cyclin kd,Kd P kc,Kc Cdc25 Cdc25 P ka,Ka IE ON Cdk1 APC P Wee1 ke,Ke Wee1 kf,Kf Catalytic Reactions

  7. All of these reactions work the same way: Cdc25U + MPF-> Cdc25P+ MPF ka,Ka Cdc25P + PPase -> Cdc25U + PPase kb,Kb APCoff + IEP -> APCon+IEP kc,Kc APCon + PPase -> APCoff + PPase kd,Kd Wee1U + MPF -> Wee1P + MPF ke,Ke Wee1P + PPase->Wee1U+PPase kf,Kf IEU+MPF->IEP+MPF kg,Kg IEP+PPase->IEU+PPase kh,Kh

  8. Cyclin Cdk1 P OFF APC IE Cdk1 Cdk1 P P Cyclin Cyclin P Cdc25 Cdc25 P IE ON Cdk1 APC P Wee1 Wee1 The MPF/PreMPF Reactions

  9. MPF+ Wee1P -> PreMPF+Wee1P Vwee1 MPF +Wee1U -> PreMPF+Wee1U Vwee2 PreMPF+Cdc25P -> MPF +Cdc25P V252 PreMPF+Cdc25U -> MPF+Cdc25U V251

  10. Figure 2 from Sible et al, Methods 41, 2007

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