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Component: environment

Component: AP1

\frac{d}{d time} (AP1) = (\frac{v_sap1 GF}{K_agf + GF} - (k_dap1 AP1)) eps

Component: pRB

\frac{d}{d time} (pRB) = (((v_sprb - (k_pc1 pRB E2F)) + k_pc2 pRBc1 - (\frac{V_1 pRB}{K_1 + pRB} (Md + Mdp27))) + \frac{V_2 pRBp}{K_2 + pRBp} - (k_dprb pRB)) eps

Component: pRBc1

\frac{d}{d time} (pRBc1) = (k_pc1 pRB E2F - (k_pc2 pRBc1)) eps

Component: pRBp

\frac{d}{d time} (pRBp) = (((\frac{V_1 pRB}{K_1 + pRB} (Md + Mdp27) - (\frac{V_2 pRBp}{K_2 + pRBp}) - (\frac{V_3 pRBp}{K_3 + pRBp} Me)) + \frac{V_4 pRBpp}{K_4 + pRBpp} - (k_pc3 pRBp E2F)) + k_pc4 pRBc2 - (k_dpRBp pRBp)) eps

Component: pRBc2

\frac{d}{d time} (pRBc2) = (k_pc3 pRBp E2F - (k_pc4 pRBc2)) eps

Component: pRBpp

\frac{d}{d time} (pRBpp) = (\frac{V_3 pRBp}{K_3 + pRBp} Me - (\frac{V_4 pRBpp}{K_4 + pRBpp}) - (k_dpRBpp pRBpp)) eps

Component: E2F

\frac{d}{d time} (E2F) = ((((v_se2f - (k_pc1 pRB E2F)) + k_pc2 pRBc1 - (k_pc3 pRBp E2F)) + k_pc4 pRBc2 - (\frac{V_1e2f Ma E2F}{K_1e2f + E2F})) + \frac{V_2e2f E2Fp}{K_2e2f + E2Fp} - (k_de2f E2F)) eps

Component: E2Fp

\frac{d}{d time} (E2Fp) = (\frac{V_1e2f Ma E2F}{K_1e2f + E2F} - (\frac{V_2e2f E2Fp}{K_2e2f + E2Fp}) - (k_de2fp E2Fp)) eps

Component: Cd

\frac{d}{d time} (Cd) = ((k_cd1 AP1 + \frac{\frac{k_cd2 E2F K_i7}{K_i7 + pRB} K_i8}{K_i8 + pRBp} - (k_com1 Cd (Cdk4_tot - (Mdi + Md + Mdp27)))) + k_decom1 Mdi - (\frac{V_dd Cd}{K_dd + Cd}) - (k_ddd Cd)) eps

Component: Mdi

\frac{d}{d time} (Mdi) = ((k_com1 Cd (Cdk4_tot - (Mdi + Md + Mdp27)) - (k_decom1 Mdi)) + \frac{V_m2d Md}{K_2d + Md} - (\frac{V_m1d Mdi}{K_1d + Mdi})) eps

Component: Md

\frac{d}{d time} (Md) = ((\frac{V_m1d Mdi}{K_1d + Mdi} - (\frac{V_m2d Md}{K_2d + Md}) - (k_c1 Md p27)) + k_c2 Mdp27) eps

Component: Mdp27

\frac{d}{d time} (Mdp27) = (k_c1 Md p27 - (k_c2 Mdp27)) eps

Component: Ce

\frac{d}{d time} (Ce) = ((\frac{\frac{k_ce E2F K_i9}{K_i9 + pRB} K_i10}{K_i10 + pRBp} - (k_com2 Ce (Cdk2_tot - (Mei + Me + Mep27 + Mai + Ma + Map27)))) + k_decom2 Mei - (\frac{\frac{V_de Skp2}{K_dceskp2 + Skp2} Ce}{K_de + Ce}) - (k_dde Ce)) eps

Component: Mei

\frac{d}{d time} (Mei) = ((k_com2 Ce (Cdk2_tot - (Mei + Me + Mep27 + Mai + Ma + Map27)) - (k_decom2 Mei)) + \frac{V_m2e (Wee1 + i_b1) Me}{K_2e + Me} - (\frac{V_m1e Pe Mei}{K_1e + Mei})) eps

Component: Me

\frac{d}{d time} (Me) = ((\frac{V_m1e Pe Mei}{K_1e + Mei} - (\frac{V_m2e (Wee1 + i_b1) Me}{K_2e + Me}) - (k_c3 Me p27)) + k_c4 Mep27) eps

Component: Skp2

\frac{d}{d time} (Skp2) = (v_sskp2 - (\frac{\frac{V_dskp2 Skp2}{K_dskp2 + Skp2} Cdh1a}{K_cdh1 + Cdh1a}) - (k_ddskp2 Skp2)) eps

Component: Mep27

\frac{d}{d time} (Mep27) = (k_c3 Me p27 - (k_c4 Mep27)) eps

Component: Pei

\frac{d}{d time} (Pei) = (v_spei + \frac{V_6e (x_e1 + x_e2 Chk1) Pe}{K_6e + Pe} - (\frac{V_m5e (Me + a_e) Pei}{K_5e + Pei}) - (k_dpei Pei)) eps

Component: Pe

\frac{d}{d time} (Pe) = (V_m5e (Me + a_e) \frac{Pei}{K_5e + Pei} - (V_6e (x_e1 + x_e2 Chk1) \frac{Pe}{K_6e + Pe}) - (k_dpe Pe)) eps

Component: Ca

\frac{d}{d time} (Ca) = ((\frac{\frac{k_ca E2F K_i11}{K_i11 + pRB} K_i12}{K_i12 + pRBp} - (k_com3 Ca (Cdk2_tot - (Mei + Me + Mep27 + Mai + Ma + Map27)))) + k_decom3 Mai - (\frac{\frac{V_da Ca}{K_da + Ca} Cdc20a}{K_acdc20 + Cdc20a}) - (k_dda Ca)) eps

Component: Mai

\frac{d}{d time} (Mai) = ((k_com3 Ca (Cdk2_tot - (Mei + Me + Mep27 + Mai + Ma + Map27)) - (k_decom3 Mai)) + \frac{V_m2a (Wee1 + i_b2) Ma}{K_2a + Ma} - (\frac{V_m1a Pa Mai}{K_1a + Mai})) eps

Component: Ma

\frac{d}{d time} (Ma) = ((\frac{V_m1a Pa Mai}{K_1a + Mai} - (\frac{V_m2a (Wee1 + i_b2) Ma}{K_2a + Ma}) - (k_c5 Ma p27)) + k_c6 Map27) eps

Component: Map27

\frac{d}{d time} (Map27) = (k_c5 Ma p27 - (k_c6 Map27)) eps

Component: p27

\frac{d}{d time} (p27) = ((((((v_s1p27 + \frac{\frac{v_s2p27 E2F K_i13}{K_i13 + pRB} K_i14}{K_i14 + pRBp} - (k_c1 Md p27)) + k_c2 Mdp27 - (k_c3 Me p27)) + k_c4 Mep27 - (k_c5 Ma p27)) + k_c6 Map27 - (k_c7 Mb p27)) + k_c8 Mbp27 - (\frac{V_1p27 Me p27}{K_1p27 + p27})) + \frac{V_2p27 p27p}{K_2p27 + p27p} - (k_ddp27 p27)) eps

Component: p27p

\frac{d}{d time} (p27p) = (\frac{V_1p27 Me p27}{K_1p27 + p27} - (\frac{V_2p27 p27p}{K_2p27 + p27p}) - (\frac{\frac{V_dp27p Skp2}{K_dp27skp2 + Skp2} p27p}{K_dp27p + p27p}) - (k_ddp27p p27p)) eps

Component: Cdh1i

\frac{d}{d time} (Cdh1i) = (\frac{V_2cdh1 Cdh1a}{K_2cdh1 + Cdh1a} (Ma + Mb) - (\frac{V_1cdh1 Cdh1i}{K_1cdh1 + Cdh1i}) - (k_dcdh1i Cdh1i)) eps

Component: Cdh1a

\frac{d}{d time} (Cdh1a) = (v_scdh1a + \frac{V_1cdh1 Cdh1i}{K_1cdh1 + Cdh1i} - (\frac{V_2cdh1 Cdh1a}{K_2cdh1 + Cdh1a} (Ma + Mb)) - (k_dcdh1a Cdh1a)) eps

Component: Pai

\frac{d}{d time} (Pai) = (v_spai + \frac{V_6a (x_a1 + x_a2 Chk1) Pa}{K_6a + Pa} - (\frac{V_m5a (Ma + a_a) Pai}{K_5a + Pai}) - (k_dpai Pai)) eps

Component: Pa

\frac{d}{d time} (Pa) = (\frac{V_m5a (Ma + a_a) Pai}{K_5a + Pai} - (\frac{V_6a (x_a1 + x_a2 Chk1) Pa}{K_6a + Pa}) - (k_dpa Pa)) eps

Component: Cb

\frac{d}{d time} (Cb) = ((v_cb - (k_com4 Cb (Cdk1_tot - (Mbi + Mb + Mbp27)))) + k_decom4 Mbi - (\frac{V_db Cb}{K_db + Cb} (\frac{Cdc20a}{K_dbcdc20 + Cdc20a} + \frac{Cdh1a}{K_dbcdh1 + Cdh1a})) - (k_ddb Cb)) eps

Component: Mbi

\frac{d}{d time} (Mbi) = ((k_com4 Cb (Cdk1_tot - (Mbi + Mb + Mbp27)) - (k_decom4 Mbi)) + \frac{V_m2b (Wee1 + i_b3) Mb}{K_2b + Mb} - (\frac{V_m1b Pb Mbi}{K_1b + Mbi})) eps

Component: Mb

\frac{d}{d time} (Mb) = ((\frac{V_m1b Pb Mbi}{K_1b + Mbi} - (\frac{V_m2b (Wee1 + i_b3) Mb}{K_2b + Mb}) - (k_c7 Mb p27)) + k_c8 Mbp27) eps

Component: Mbp27

\frac{d}{d time} (Mbp27) = (k_c7 Mb p27 - (k_c8 Mbp27)) eps

Component: Cdc20i

\frac{d}{d time} (Cdc20i) = ((v_scdc20i - (\frac{V_m3b Mb Cdc20i}{K_3b + Cdc20i})) + \frac{V_m4b Cdc20a}{K_4b + Cdc20a} - (k_dcdc20i Cdc20i)) eps

Component: Cdc20a

\frac{d}{d time} (Cdc20a) = (\frac{V_m3b Mb Cdc20i}{K_3b + Cdc20i} - (\frac{V_m4b Cdc20a}{K_4b + Cdc20a}) - (k_dcdc20a Cdc20a)) eps

Component: Pbi

\frac{d}{d time} (Pbi) = (v_spbi + \frac{V_6b (x_b1 + x_b2 Chk1) Pb}{K_6b + Pb} - (\frac{V_m5b (Mb + a_b) Pbi}{K_5b + Pbi}) - (k_dpbi Pbi)) eps

Component: Pb

\frac{d}{d time} (Pb) = (\frac{V_m5b (Mb + a_b) Pbi}{K_5b + Pbi} - (\frac{V_6b (x_b1 + x_b2 Chk1) Pb}{K_6b + Pb}) - (k_dpb Pb)) eps

Component: Wee1

\frac{d}{d time} (Wee1) = ((v_swee1 + k_sw Mw - (\frac{V_m7b (Mb + i_b) Wee1}{K_7b + Wee1})) + \frac{V_m8b Wee1p}{K_8b + Wee1p} - (k_dwee1 Wee1)) eps

Component: Wee1p

\frac{d}{d time} (Wee1p) = (\frac{V_m7b (Mb + i_b) Wee1}{K_7b + Wee1} - (\frac{V_m8b Wee1p}{K_8b + Wee1p}) - (k_dwee1p Wee1p)) eps

Component: Cdc45

\frac{d}{d time} (Cdc45) = ((\frac{V_1cdc45 Me (Cdc45_tot - Cdc45)}{K_1cdc45 + (Cdc45_tot - Cdc45)} - (\frac{V_2cdc45 Cdc45}{K_2cdc45 + Cdc45}) - (k_spol (Pol_tot - Pol) Cdc45)) + k_dpol Pol) eps

Component: Pol

\frac{d}{d time} (Pol) = (k_spol (Pol_tot - Pol) Cdc45 - (k_dpol Pol)) eps

Component: Primer

\frac{d}{d time} (Primer) = ((k_sprim Pol - (k_dprim Primer) - (k_aatr (ATR_tot - ATR) Primer)) + k_datr ATR) eps

Component: ATR

\frac{d}{d time} (ATR) = (k_aatr (ATR_tot - ATR) Primer - (k_datr ATR)) eps

Component: Chk1

\frac{d}{d time} (Chk1) = (\frac{V_1chk ATR (Chk1_tot - Chk1)}{K_1chk + (Chk1_tot - Chk1)} - (\frac{V_2chk Chk1}{K_2chk + Chk1})) eps

Component: Mw

\frac{d}{d time} (Mw) = \frac{v_sw {BN}^{n_gerard}}{{K_iw}^{n_gerard} + {BN}^{n_gerard}} - (\frac{v_dw Mw}{K_dw + Mw})

Component: X

\frac{d}{d time} (X) = (V_1x Ma \frac{X_tot - X}{K_1x + (X_tot - X)} - (V_2x \frac{X}{K_2x + X})) eps

Component: CbA

\frac{d}{d time} (CbA) = ((v_cb X 1 - (k_com4 CbA (Cdk1_tot - (Mbi + Mb + Mbp27)))) + k_decom4 Mbi - (V_db \frac{CbA}{K_db + CbA} (\frac{Cdc20a}{K_dbcdc20 + Cdc20a} + \frac{Cdh1a}{K_dbcdh1 + Cdh1a})) - (k_ddb CbA)) eps

Component: MP

\frac{d}{d time} (MP) = \frac{vsP {BN}^{n}}{{KAP}^{n} + {BN}^{n}} - (\frac{vmP MP}{KmP + MP} + kdmp MP)

Component: MC

\frac{d}{d time} (MC) = \frac{vsC {BN}^{n}}{{KAC}^{n} + {BN}^{n}} - (\frac{vmC MC}{KmC + MC} + kdmc MC)

Component: MB

\frac{d}{d time} (MB) = \frac{vsB {KIB}^{m}}{{KIB}^{m} + {RN}^{m}} - (\frac{vmB MB}{KmB + MB} + kdmb MB)

Component: MR

\frac{d}{d time} (MR) = \frac{vsR {BN}^{h}}{{KAR}^{h} + {BN}^{h}} - (\frac{vmR MR}{KmR + MR} + kdmr MR)

Component: PC

\frac{d}{d time} (PC) = ksP MP + \frac{V2P PCP}{Kdp + PCP} + k4 PCC - (\frac{V1P PC}{Kp + PC} + k3 PC CC + kdn PC)

Component: CC

\frac{d}{d time} (CC) = ksC MC + \frac{V2C CCP}{Kdp + CCP} + k4 PCC - (\frac{V1C CC}{Kp + CC} + k3 PC CC + kdnc CC)

Component: RC

\frac{d}{d time} (RC) = ksR MR + k10 RN - (k9 RC + \frac{vdRC RC}{Kd + RC} + kdn RC)

Component: PCP

\frac{d}{d time} (PCP) = \frac{V1P PC}{Kp + PC} - (\frac{V2P PCP}{Kdp + PCP} + \frac{vdPC PCP}{Kd + PCP} + kdn PCP)

Component: CCP

\frac{d}{d time} (CCP) = \frac{V1C CC}{Kp + CC} - (\frac{V2C CCP}{Kdp + CCP} + \frac{vdCC CCP}{Kd + CCP} + kdn CCP)

Component: PCC

\frac{d}{d time} (PCC) = \frac{V2PC PCCP}{Kdp + PCCP} + k3 PC CC + k2 PCN - (\frac{V1PC PCC}{Kp + PCC} + k4 PCC + k1 PCC + kdn PCC)

Component: PCN

\frac{d}{d time} (PCN) = \frac{V4PC PCNP}{Kdp + PCNP} + k1 PCC + k8 IN - (\frac{V3PC PCN}{Kp + PCN} + k2 PCN + k7 BN PCN + kdn PCN)

Component: RN

\frac{d}{d time} (RN) = k9 RC - (k10 RN + \frac{vdRN RN}{Kd + RN} + kdn RN)

Component: PCCP

\frac{d}{d time} (PCCP) = \frac{V1PC PCC}{Kp + PCC} - (\frac{V2PC PCCP}{Kdp + PCCP} + \frac{vdPCC PCCP}{Kd + PCCP} + kdn PCCP)

Component: PCNP

\frac{d}{d time} (PCNP) = \frac{V3PC PCN}{Kp + PCN} - (\frac{V4PC PCNP}{Kdp + PCNP} + \frac{vdPCN PCNP}{Kd + PCNP} + kdn PCNP)

Component: BC

\frac{d}{d time} (BC) = \frac{V2B BCP}{Kdp + BCP} + k6 BN + ksB MB - (\frac{V1B BC}{Kp + BC} + k5 BC + kdn BC)

Component: BCP

\frac{d}{d time} (BCP) = \frac{V1B BC}{Kp + BC} - (\frac{V2B BCP}{Kdp + BCP} + \frac{vdBC BCP}{Kd + BCP} + kdn BCP)

Component: BN

\frac{d}{d time} (BN) = \frac{V4B BNP}{Kdp + BNP} + k5 BC + k8 IN - (\frac{V3B BN}{Kp + BN} + k6 BN + k7 BN PCN + kdn BN)

Component: BNP

\frac{d}{d time} (BNP) = \frac{V3B BN}{Kp + BN} - (\frac{V4B BNP}{Kdp + BNP} + \frac{vdBN BNP}{Kd + BNP} + kdn BNP)

Component: IN

\frac{d}{d time} (IN) = k7 BN PCN - (k8 IN + \frac{vdIN IN}{Kd + IN} + kdn IN)

Component: model_parameters

Source: Derived from workspace Gerard and Goldbeter 2009 at changeset 3b84cd0d62e5.

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Temporal self-organization of the cyclin/Cdk network driving the mammalian cell cycle