| Molecule Name/ Site Name | Km (uM) | kcat (1/s) | Ratio (k2/k3) | Enzyme Type | Substrate | Product |
1 |
Enzyme Activity: Ak6_etaA
Enzyme Molecule: CycA | 10.0002 | 500 | 4 | explicit E-S complex | CycA_Kip1
| CycA degraded
|
| See Ak6_etaE |
2 |
Enzyme Activity: Ak6_etaB
Enzyme Molecule: CycB | 9.99992 | 1000 | 4 | explicit E-S complex | CycA_Kip1
| CycA degraded
|
| See Ak6_etaE |
3 |
Enzyme Activity: Ak6_etaE
Enzyme Molecule: CycE | 10.0002 | 500 | 4 | explicit E-S complex | CycA_Kip1
| CycA degraded
|
| Rate = V6 * [CycD_Kip1]. 6 Apr 2005. Rates were k1 = 500, k2 = 10, k3 = 1 in explicit E.S reaction form. Changed to MM as Km was too low. New values: Km = 10 kcat = Km * k6 * etaE = 500. |
4 |
Enzyme Activity: A_phosph_E2F
Enzyme Molecule: CycA | 9.99992 | 10 | 4 | explicit E-S complex | E2FA
| E2FAP
|
| Rate equn has form [CycA].[E2F].k23 k23 = 1 MM equn has form [CycA].[E2F].kcat/(Km + E2F) So, we set kcat = Km * k23 where Km >> E2F 25 Mar. Better: Use explicit enz form. rate = k3.k1/k2 if k3 << k2. Let k3 = 1, k2 = 10, so we get k1 = k23 * 10 = 10. 6 Apr. Problem with explicit form is that the enz-substrate complex may affect the levels of the CycA, B etc. Back to MM. |
5 |
Enzyme Activity: A_phosph_ E2FA.Rb
Enzyme Molecule: CycA | 9.99992 | 10 | 4 | explicit E-S complex | E2FA.Rb
| E2FAP.Rb
|
| Rate equn has form [CycA].[E2F].k23 k23 = 1 MM equn has form [CycA].[E2F].kcat/(Km + E2F) So, we set kcat = Km * k23 where Km >> E2F 25 March 2005 Use explicit form. rate = k23 = 1 = k3*k1/k2 where k3 << k2 So k3 = 1, k2 = 10, k1 = 10. 6 Apr 2005. Back to MM form because enz complex formation is depleting CycA, B etc. |
6 |
Enzyme Activity: B_phosph_E2FA
Enzyme Molecule: CycB | 9.99992 | 10 | 4 | explicit E-S complex | E2FA
| E2FAP
|
| See A_phosph_E2F. Same rate of k23 = 1 applies. |
7 |
Enzyme Activity: B_phosph_ E2FA.Rb
Enzyme Molecule: CycB | 9.99992 | 10 | 4 | explicit E-S complex | E2FA.Rb
| E2FAP.Rb
|
| See A_phosph_E2F. Same rate of k23 = 1 applies. |
8 |
Enzyme Activity: Cdc20_deg_CycA
Enzyme Molecule: Cdc20 | 10 | 200 | 4 | explicit E-S complex | CycA
| degraded
|
| Rate comes in as k30 = 20 Rate = [Cdc20]*[CycA] * k30. To put in MM form: Rate = [Cdc20]*[CycA] * kcat / (Km + [CycA]) where kcat = k30 * Km and Km >> [CycA]. Put Km = 1000, so kcat = 20000 25 March: use explicit enz form. Use rate = k3*k1/k2 = 20, which works if k2 >> k3. Then let k3 = 1, k2 = 10, k1 becomes 200 7 Apr 2005: Above won't work because of low Km consuming too much of the Cdc20 in the complex form. So use Km = 10, kcat = 200. |
9 |
Enzyme Activity: Cdc20_deg_CycA_ Kip1
Enzyme Molecule: Cdc20 | 10 | 200 | 4 | explicit E-S complex | CycA_Kip1
| Kip1 degraded
|
| Rate comes in as k30 = 20 Same rate as for CycA alone. Rate = [Cdc20]*[CycA_Kip1] * k30. To put in MM form: Rate = [Cdc20]*[CycA_Kip1] * kcat / (Km + [CycA_Kip1]) where kcat = k30 * Km and Km >> [CycA_Kip1]. Put Km = 1000, so kcat = 20000 Similar to CycA alone, we instead get k2 = 10, k3 = 1, so k1 = 200. 19 Apr 2005: Go back to MM form because of low Km. Let Km = 10, then kcat = Km * k30 = 200. |
10 |
Enzyme Activity: Cdh1_Cdc20
Enzyme Molecule: Cdc20 | 0.0100001 | 140 | 4 | explicit E-S complex | Cdh1_i
| Cdh1
|
| k3 = 140 Km = j3 = 0.01 |
11 |
Enzyme Activity: Cdh1_CycA
Enzyme Molecule: CycA | 0.01 | 12 | 4 | explicit E-S complex | Cdh1
| Cdh1_i
|
| J4 = Km = 0.01 k4 = 40. GammaA = 0.3 kcat = k4 * GammaA = 12 |
12 |
Enzyme Activity: Cdh1_CycB
Enzyme Molecule: CycB | 0.0099998 | 40 | 4 | explicit E-S complex | Cdh1
| Cdh1_i
|
| Eqn 12. J4 = Km = 0.01 k4 = 40 GammaB = 1 kcat = k4 * GammaB = 40 |
13 |
Enzyme Activity: k11
Enzyme Molecule: CycB | 1 | 3 | 4 | explicit E-S complex | AminoAcids
| Cdc20notA
|
| Represented simply as [CycB]*k11, where k11 is 1.5. As AAs are at 1, we get rate = [AAs].[CycB].kcat / (Km + [AAs]) So if we set Km = [AAs] = 1, then kcat = 3 gives our desired equation. |
14 |
Enzyme Activity: k13
Enzyme Molecule: IEP | 0.00499996 | 5 | 4 | explicit E-S complex | Cdc20notA
| Cdc20
|
| Represented as k13.[IEP].[Cdc20A]/(J13 + [Cdc20A]) which is a classical MM form. k13 = 5, J13 = 0.005 |
15 |
Enzyme Activity: k20_lambdaA
Enzyme Molecule: CycA | 100 | 3000 | 4 | explicit E-S complex | Rb
| Rb_P
|
| Km ~ 0, so rate ~ kcat. Here rate = k20 * lambdaA = 10 * 3 7 Apr 2005: Fix it: rate should have substrate term in it. Set Km = 10 >> substrate. Then, kcat = Km * k20 * lambdaA = 10 * 10 * 3 = 300 |
16 |
Enzyme Activity: k20_lambdaA[1]
Enzyme Molecule: CycA | 100 | 3000 | 4 | explicit E-S complex | E2FAP.Rb
| Rb_P E2FAP
|
| Km ~ 0, so rate ~ kcat. Here rate = k20 * lambdaA = 10 * 3 7 Apr 2005: Fix it: rate should have substrate term in it. Set Km = 10 >> substrate. Then, kcat = Km * k20 * lambdaA = 10 * 10 * 3 = 300 |
17 |
Enzyme Activity: k20_lambdaA[2]
Enzyme Molecule: CycA | 100 | 3000 | 4 | explicit E-S complex | E2FA.Rb
| Rb_P E2FA
|
| Km ~ 0, so rate ~ kcat. Here rate = k20 * lambdaA = 10 * 3 7 Apr 2005: Fix it: rate should have substrate term in it. Set Km = 10 >> substrate. Then, kcat = Km * k20 * lambdaA = 10 * 10 * 3 = 300 |
18 |
Enzyme Activity: k20_lambdaB
Enzyme Molecule: CycB | 100.002 | 5000 | 4 | explicit E-S complex | Rb
| Rb_P
|
| With Km ~ 0, rate ~ kcat. Here rate = k20 * lambdaB = 10 * 5 7 Apr 2005. Changed to include substrate term. Use Km = 10 >> sub, so kcat = Km * k20 * lambdaB = 10 * 10 * 5 = 500 |
19 |
Enzyme Activity: k20_lambdaB[1]
Enzyme Molecule: CycB | 100.002 | 5000 | 4 | explicit E-S complex | E2FAP.Rb
| Rb_P E2FAP
|
| With Km ~ 0, rate ~ kcat. Here rate = k20 * lambdaB = 10 * 5 7 Apr 2005. Changed to include substrate term. Use Km = 10 >> sub, so kcat = Km * k20 * lambdaB = 10 * 10 * 5 = 500 |
20 |
Enzyme Activity: k20_lambdaB[2]
Enzyme Molecule: CycB | 100.002 | 5000 | 4 | explicit E-S complex | E2FA.Rb
| Rb_P E2FA
|
| With Km ~ 0, rate ~ kcat. Here rate = k20 * lambdaB = 10 * 5 7 Apr 2005. Changed to include substrate term. Use Km = 10 >> sub, so kcat = Km * k20 * lambdaB = 10 * 10 * 5 = 500 |
21 |
Enzyme Activity: k20_lambdaD
Enzyme Molecule: CycD | 100 | 3300 | 4 | explicit E-S complex | Rb
| Rb_P
|
| With a low Km, rate ~ kcat. Here we have rate = k20 * lambda_d = 10 * 3.3 = 33. 7 Apr 2005. Actually should have the substrate term in here. Use the form Km >> substrate, so rate = kcat * sub * enz / Km so kcat = Km * k20 * lambda_d = 10 * 10 * 3.3 = 330 |
22 |
Enzyme Activity: k20_lambdaD[1]
Enzyme Molecule: CycD | 100 | 3300 | 4 | explicit E-S complex | E2FAP.Rb
| Rb_P E2FAP
|
| With a low Km, rate ~ kcat. Here we have rate = k20 * lambda_d = 10 * 3.3 = 33. 7 Apr 2005. Actually should have the substrate term in here. Use the form Km >> substrate, so rate = kcat * sub * enz / Km so kcat = Km * k20 * lambda_d = 10 * 10 * 3.3 = 330 The idea here is that these reactions phosphorylate the Rb protein attached to E2FAP, so that Rb_P is released and E2FAP is left. |
23 |
Enzyme Activity: k20_lambdaD[2]
Enzyme Molecule: CycD | 100 | 3300 | 4 | explicit E-S complex | E2FA.Rb
| Rb_P E2FA
|
| With a low Km, rate ~ kcat. Here we have rate = k20 * lambda_d = 10 * 3.3 = 33. 7 Apr 2005. Actually should have the substrate term in here. Use the form Km >> substrate, so rate = kcat * sub * enz / Km so kcat = Km * k20 * lambda_d = 10 * 10 * 3.3 = 330 The idea here is that these reactions phosphorylate the Rb protein attached to E2FA, so that Rb_P is released and E2FA is left. |
24 |
Enzyme Activity: k20_lambdaE
Enzyme Molecule: CycE | 100.002 | 5000 | 4 | explicit E-S complex | Rb
| Rb_P
|
| For Km ~ 0, rate ~ kcat. rate = k20 * lambdaE = 10 * 5 7 Apr 2005. Actually need to put in substrate term too. Let Km = 10 >> sub. Then, rate ~ kcat * sub * prd /Km so kcat = Km * k20 * lambdaE = 10 * 10 * 5 = 500 |
25 |
Enzyme Activity: k20_lambdaE[1]
Enzyme Molecule: CycE | 100.002 | 5000 | 4 | explicit E-S complex | E2FAP.Rb
| Rb_P E2FAP
|
| For Km ~ 0, rate ~ kcat. rate = k20 * lambdaE = 10 * 5 7 Apr 2005. Actually need to put in substrate term too. Let Km = 10 >> sub. Then, rate ~ kcat * sub * prd /Km so kcat = Km * k20 * lambdaE = 10 * 10 * 5 = 500 |
26 |
Enzyme Activity: k20_lambdaE[2]
Enzyme Molecule: CycE | 100.002 | 5000 | 4 | explicit E-S complex | E2FA.Rb
| Rb_P E2FA
|
| For Km ~ 0, rate ~ kcat. rate = k20 * lambdaE = 10 * 5 7 Apr 2005. Actually need to put in substrate term too. Let Km = 10 >> sub. Then, rate ~ kcat * sub * prd /Km so kcat = Km * k20 * lambdaE = 10 * 10 * 5 = 500 |
27 |
Enzyme Activity: k21_phiB
Enzyme Molecule: CycB | 10 | 200 | 4 | explicit E-S complex | PP1A
| PP1
|
| phiB = 2. See calculation for k21_phiE |
28 |
Enzyme Activity: k21_phiE
Enzyme Molecule: CycE | 9.99968 | 2500 | 4 | explicit E-S complex | PP1A
| PP1
|
| Rate is just K21 * phiE * [CycE]. K21 = 1, phiE = 25. So rate= 25 * [CycE] MM rate = kcat * E.S/(Km + S) Let Km << S, then we get rate = kcat * E So if Km = 0.01, kcat = 25 7 Apr 2005. Actually should include substrate term. So, Km = 10, kcat = Km * K21 * phiE = 250 18 Apr 2005. Speeded up 10x. |
29 |
Enzyme Activity: k21_phiE_A
Enzyme Molecule: CycA | 9.99968 | 2500 | 4 | explicit E-S complex | PP1A
| PP1
|
| phiE is also used for the reaction catalyzed by A. So rates are identical to k21_phiE |
30 |
Enzyme Activity: k29
Enzyme Molecule: E2FA | 1000.02 | 50 | 4 | explicit E-S complex | Mass_dup
| CycA
|
| Represented as eps*k29*[E2FA]*[mass], where k29 is 0.05 Split into two steps, this one deals with the E2FA term. rate = Mass_dup * E2FA * kcat / (Km + Mass_dup) Note that Mass_dup will not change. Let Km >> Mass_dup and kcat = k29 * Km. then rate ~ Mass_dup * E2FA * k29 * Km / Km |
31 |
Enzyme Activity: k2_prime_prime
Enzyme Molecule: Cdc20 | 99.9992 | 100 | 4 | explicit E-S complex | CycB
| degraded
|
| k2_prime_prime = 1. rate = k2_prime_prime * Cdc20 * CycB Using MM: rate = kcat * Cdc20 * CycB / (CycB + Km) Let Km >> CycB, ie, around 100. Then kcat = k2_prime_prime * Km = 100. |
32 |
Enzyme Activity: k31
Enzyme Molecule: CycB | 0.00999989 | 0.7 | 4 | explicit E-S complex | IE
| IEP
|
| Represented as k31.[IE].[CycB]/(J31 + [IE]) k31 = 0.7 J31 = 0.01 |
33 |
Enzyme Activity: k6_D_etaA
Enzyme Molecule: CycA | 10.0002 | 500 | 4 | explicit E-S complex | CycD_Kip1
| CycD degraded
|
| k3.k1/k2 = k6.etaA = 100*0.5 = 50 Also k3 << k2. Assume ratio is 10. Let k3 be reasonable, say 1. Then k2 = 10, k1 = 500. 6 April 2005: The above rates are bad because they give a very low Km and too much E.S. complex. So, back to MM: Km >> substrate, so Km = 10. Then kcat = Km * k6 * etaA = 10 * 100 * 0.5 = 500. |
34 |
Enzyme Activity: k6_D_etaB
Enzyme Molecule: CycB | 9.99992 | 1000 | 4 | explicit E-S complex | CycD_Kip1
| CycD degraded
|
| 6 Apr 2005. Earlier used explicit E.S complex form with k1 = 1000, k2 = 10, k3 = 1. This gave low Km and lots of E.S. complex. So shift to MM form: k6 = 100, etaB = 1. Let Km = 10 >> substrate. Then kcat = Km * k6 * etaB = 1000 |
35 |
Enzyme Activity: k6_D_etaE
Enzyme Molecule: CycE | 10.0002 | 500 | 4 | explicit E-S complex | CycD_Kip1
| CycD degraded
|
| Rate = V6 * [CycD_Kip1]. k3.k1/k2 = rate = k6 * etaE = 50. 6 Apr 2005. Old rates in explicit form were k1 = 500, k2 = 10, k3 = 1. Need to go back to MM form because the above explict rates give a very low Km, ie, lots of E.S complex. k6 = 100, etaE = 0.5, Let Km >> substrate, so Km = 10. Then kcat = Km * k6 * etaE = 500. |
36 |
Enzyme Activity: k6_E_etaA
Enzyme Molecule: CycA | 10.0002 | 500 | 4 | explicit E-S complex | CycE_Kip1
| CycE degraded
|
| See notes for k6_E_etaE. Explicit rates had been k1 = 500, k2 = 10, k3 = 1 but this gave a very low Km. So, back to MM: etaA = 0.5 so kcat = 500, Km = 10 as for k6_E_etaE |
37 |
Enzyme Activity: k6_E_etaB
Enzyme Molecule: CycB | 9.99992 | 1000 | 4 | explicit E-S complex | CycE_Kip1
| CycE degraded
|
| See notes for k6_E_etaE. Here etaB = 1 so kcat = 1000, Km as before is 10 |
38 |
Enzyme Activity: k6_E_etaE
Enzyme Molecule: CycE | 10.0002 | 500 | 4 | explicit E-S complex | CycE_Kip1
| CycE degraded
|
| k6 = 100, etaE = 0.5 Assume a large Km of 1000 so that the conc of the enzyme is negligible. Then rate is E.S.Vmax/Km. 6 April 2006 I had changed it over to an explict form earlier. Those values were k1 = 500, k2 = 10, k3 = 1. Cannot use as effective Km is very small so we would end up with lots of E.S complex. Change back to MM: Km = 10, kcat = Km * k6 * etaE = 500. |
39 |
Enzyme Activity: k6_kip1_A
Enzyme Molecule: CycA | 10.0002 | 500 | 4 | explicit E-S complex | Kip1
| degraded_kip
|
| k3.k1/k2 = k6.etaA = 100*0.5 = 50 Also k3 << k2. Assume ratio is 10. Let k3 be reasonable, say 1. Then k2 = 10, k1 = 500. 6 April 2005: The above rates are bad because they give a very low Km and too much E.S. complex. So, back to MM: Km >> substrate, so Km = 10. Then kcat = Km * k6 * etaA = 10 * 100 * 0.5 = 500. |
40 |
Enzyme Activity: k6_kip1_B
Enzyme Molecule: CycB | 9.99992 | 1000 | 4 | explicit E-S complex | Kip1
| degraded_kip
|
| 6 Apr 2005. Using MM form: k6 = 100 Let Km = 10 >> substrate. Then kcat = Km * k6 * eta_B = 1000 |
41 |
Enzyme Activity: k6_kip1_E
Enzyme Molecule: CycE | 10.0002 | 500 | 4 | explicit E-S complex | Kip1
| degraded_kip
|
| Rate = V6 * [CycD_Kip1]. k3.k1/k2 = rate = k6 * etaE = 50. 6 Apr 2005. Old rates in explicit form were k1 = 500, k2 = 10, k3 = 1. Need to go back to MM form because the above explict rates give a very low Km, ie, lots of E.S complex. k6 = 100, etaE = 0.5, Let Km >> substrate, so Km = 10. Then kcat = Km * k6 * etaE = 500. |
42 |
Enzyme Activity: k7
Enzyme Molecule: E2FA | 1 | 1.2 | 4 | explicit E-S complex | AminoAcids
| CycE
|
| Represented simply as [E2FA]*k7, where k7 is 0.6 As AAs are at 1, we get rate = [AAs].[E2FA].kcat / (Km + [AAs]) So if we set Km = [AAs] = 1, then kcat = 1.2 gives our desired equation. |
43 |
Enzyme Activity: k8_CycA
Enzyme Molecule: CycA | 0.1 | 2 | 4 | explicit E-S complex | CycE
| degraded
|
44 |
Enzyme Activity: k8_CycA_Kip1
Enzyme Molecule: CycA | 0.1 | 2 | 4 | explicit E-S complex | CycE_Kip1
| Kip1 degraded
|
45 |
Enzyme Activity: k8_CycB
Enzyme Molecule: CycB | 0.0999992 | 0.1 | 4 | explicit E-S complex | CycE
| degraded
|
46 |
Enzyme Activity: k8_CycB_Kip1
Enzyme Molecule: CycB | 0.0999992 | 0.1 | 4 | explicit E-S complex | CycE_Kip1
| Kip1 degraded
|
| k8 = 0.2, psiB = 0.05, so kcat = 0.1. J8 = 0.1 |
47 |
Enzyme Activity: k8_CycE
Enzyme Molecule: CycE | 0.1 | 2 | 4 | explicit E-S complex | CycE
| degraded
|
| Autocatalysis step equation 5. Unfortunately cannot exactly represent the math of Equation 26. Note that we cannot merge this enzyme with k6_etaE because this is in the explicit form to get a little closer to the mathematical form. |
48 |
Enzyme Activity: k8_CycE_Kip1
Enzyme Molecule: CycE | 0.1 | 2 | 4 | explicit E-S complex | CycE_Kip1
| Kip1 degraded
|
| Autocatalysis step equation 5. Unfortunately cannot exactly represent the math of Equation 26. Note that we cannot merge this enzyme with k6_etaE because this is in the explicit form to get a little closer to the mathematical form. |
49 |
Enzyme Activity: k9
Enzyme Molecule: DRG | 1.00002 | 5 | 4 | explicit E-S complex | AminoAcids
| CycD
|
| Represented simply as [DRG]*k9, where k9 is 2.5. As AAs are at 1, we get rate = [AAs].[DRG].kcat / (Km + [AAs]) So if we set Km = [AAs] = 1, then kcat = 5 gives our desired equation. |
50 |
Enzyme Activity: k_prime_17
Enzyme Molecule: ERG | 0.999989 | 0.7 | 4 | explicit E-S complex | AminoAcids
| DRG
|
| k17_prime = 0.35. rate = epsilon * k17_prime * [ERG] Assume AA = 1, Km = 1. Then rate = kcat * AA * ERG / (Km + AA) gives kcat = 0.7 |