You are here: Home / Exposures / Conradie, Bruggeman, Ciliberto, Csikasz-Nagy, Novak, Westerhoff, Snoep, / Restriction point control of the mammalian cell cycle via the cyclin E/Cdk2:p27 complex

Model Mathematics

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Component: environment

Component: v1

v_1 = k16 ERG

Component: v2

v_2 = k18 DRG

Component: v3

v_3 = K10 CD

Component: v4

v_4 = K10 CYCD

Component: v5

v_5 = K25 p27 CYCE

Component: v6

v_6 = K25 p27 CYCA

Component: v7

v_7 = k24 p27 CYCD

Component: v8

v_8 = k24r CD

Component: v9

v_9 = K30 Cdc20 CYCA

Component: v10

v_10 = K30 Cdc20 CA

Component: v11

v_11 = K25R CE

Component: v12

v_12 = K25R CA

Component: v13

v_13 = V_8 CE

Component: v14

v_14 = V_8 CYCE

Component: v15

v_15 = V_6 p27

Component: v16

v_16 = V_6 CE

Component: v17

v_17 = V_6 CD

Component: v18

v_18 = V_6 CA

Component: v19

v_19 = V_2 CYCB

Component: v20

v_20 = \frac{(K3a + K3 Cdc20) (1 - Cdh1)}{(J3 - Cdh1) + 1}

Component: v21

v_21 = \frac{V_4 Cdh1}{J4 + Cdh1}

Component: v22

v_22 = K34 PPX

Component: v23

v_23 = \frac{K31 CYCB (1 - IEP)}{(J31 - IEP) + 1}

Component: v24

v_24 = \frac{K32 PPX IEP}{J32 + IEP}

Component: v25

v_25 = K12 Cdc20T

Component: v26

v_26 = \frac{K13 IEP (Cdc20T - Cdc20)}{(J13 - Cdc20) + Cdc20T}

Component: v27

v_27 = \frac{K14 Cdc20}{J14 + Cdc20}

Component: v28

v_28 = K12 Cdc20

Component: v29

v_29 = E2FRb K20 (CYCDT LD + LA CYCA + LB CYCB + LE CYCE)

Component: v30

v_30 = PE2FRb K20 (CYCDT LD + LA CYCA + LB CYCB + LE CYCE)

Component: v31

v_31 = K27 MASS r31switch

Component: v32

v_32 = K28 GM

Component: v33

v_33 = eps MU GM

Component: v34

v_34 = \frac{eps k15}{{(\frac{DRG}{J15})}^{2} + 1}

Component: v35

v_35 = eps K11a + K11 CYCB

Component: v36

v_36 = eps K29 E2F MASS

Component: v37

v_37 = eps K33

Component: v38

v_38 = eps (K7a + K7 E2F)

Component: v39

v_39 = eps K9 DRG

Component: v40

v_40 = eps K5

Component: v41

v_41 = eps (\frac{k17 {(\frac{DRG}{J17})}^{2}}{{(\frac{DRG}{J17})}^{2} + 1} + k17a ERG)

Component: v42

v_42 = eps (\frac{K1 {(\frac{CYCB}{J1})}^{2}}{{(\frac{CYCB}{J1})}^{2} + 1} + K1a)

Component: v43

v_43 = Rb K20 (CYCDT LD + LA CYCA + LB CYCB + LE CYCE)

Component: v44

v_44 = PPRb (K19a (PP1T - PP1A) + K19 PP1A)

Component: v45

v_45 = E2FRb K26R

Component: v46

v_46 = E2F (K23a + K23 (CYCA + CYCB))

Component: v47

v_47 = PE2F K22

Component: v48

v_48 = E2F Rb K26

Component: v49

v_49 = PE2FRb K26R

Component: v50

v_50 = Rb PE2F K26

Component: v51

v_51 = PE2FRb K22

Component: v52

v_52 = E2FRb (K23a + K23 (CYCA + CYCB))

Component: PP1Acomp

PP1A = \frac{PP1T}{K21 FE (CYCA + CYCE + FB CYCB) + 1}

Component: V2

V_2 = K2aa Cdc20 + K2a (1 - Cdh1) + K2 Cdh1

Component: V4

V_4 = K4 (GA CYCA + GB CYCB + GE CYCE)

Component: V6

V_6 = K6a + K6 (HA CYCA + HB CYCB + HE CYCE)

Component: V8

V_8 = \frac{K8 (YE (CYCA + CYCE) + YB CYCB)}{CYCET + J8} + K8a

Component: CAcomp

\frac{d}{d time} (CA) = v_6 - v_12 - v_18 - v_10

Component: CDcomp

\frac{d}{d time} (CD) = v_7 - v_8 - v_17 - v_3

Component: Cdc20Tcomp

\frac{d}{d time} (Cdc20T) = v_35 - v_25

Component: Cdh1cmp

\frac{d}{d time} (Cdh1) = v_20 - v_21

Component: CEcomp

\frac{d}{d time} (CE) = v_5 - v_11 - v_13 - v_16

Component: CYCAcomp

\frac{d}{d time} (CYCA) = (v_36 - v_9 - v_6) + v_12 + v_18

Component: CYCBcomp

\frac{d}{d time} (CYCB) = v_42 - v_19

Component: CYCDcomp

\frac{d}{d time} (CYCD) = v_39 + v_17 + v_8 - v_7 - v_4

Component: CYCEcomp

\frac{d}{d time} (CYCE) = (v_38 - v_14 - v_5) + v_11 + v_16

Component: DRGcomp

\frac{d}{d time} (DRG) = v_41 - v_2

Component: ERGcomp

\frac{d}{d time} (ERG) = v_34 - v_1

Component: GMcomp

\frac{d}{d time} (GM) = v_31 - v_32

Component: IEPcomp

\frac{d}{d time} (IEP) = v_23 - v_24

Component: MASScomp

\frac{d}{d time} (MASS) = v_33

Component: p27cmp

\frac{d}{d time} (p27) = (v_40 + v_3 + v_8 - v_15 - v_5 - v_6 - v_7) + v_11 + v_12 + v_13 + v_10

Component: PPXcomp

\frac{d}{d time} (PPX) = v_37 - v_22

Component: PPRbcomp

\frac{d}{d time} (PPRb) = v_29 + v_30 + v_43 - v_44

Component: E2Fcomp

\frac{d}{d time} (E2F) = v_29 + v_45 + v_47 - v_46 - v_48

Component: PE2Fcomp

\frac{d}{d time} (PE2F) = v_30 + v_49 + v_46 - v_47 - v_50

Component: Rbcomp

\frac{d}{d time} (Rb) = v_44 + v_45 + v_49 - v_48 - v_50 - v_43

Component: E2FRbcomp

\frac{d}{d time} (E2FRb) = v_51 + v_48 - v_52 - v_29 - v_45

Component: PE2FRbcomp

\frac{d}{d time} (PE2FRb) = v_52 + v_50 - v_51 - v_30 - v_49

Source: Derived from workspace Conradie, Bruggeman, Ciliberto, Csikasz-Nagy, Novak, Westerhoff and Snoep, 2010 at changeset bf3b92d0e055.; This exposure was expired. A more up-to-date exposure is available, or view related resources.

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Restriction point control of the mammalian cell cycle via the cyclin E/Cdk2:p27 complex