nakakuki1

The SBML for this model was obtained from the BioModels database (BioModels ID: BIOMD0000000169) Biomodels notes: Reproduction of fig 1 F-I of the original publication. Integrations were performed using SBML ODESolver. The concentrations were rescaled to the highest level of HRG induced activation. Fig 1I differs slightly, either due to a different amount of plotting points or differences in the normalization. JWS Online curation: This model was curated by reproducing the figures as described in the BioModels Notes. The figures were not normalised.

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Ligand-specific c-Fos expression emerges from the spatiotemporal control of ErbB network dynamics.

  • Takashi Nakakuki
  • Marc R Birtwistle
  • Yuko Saeki
  • Noriko Yumoto
  • Kaori Ide
  • Takeshi Nagashima
  • Lutz Brusch
  • Babatunde A Ogunnaike
  • Mariko Okada-Hatakeyama
  • Boris N Kholodenko
Cell 2010; 141 (5): 884-896
Abstract
Activation of ErbB receptors by epidermal growth factor (EGF) or heregulin (HRG) determines distinct cell-fate decisions, although signals propagate through shared pathways. Using mathematical modeling and experimental approaches, we unravel how HRG and EGF generate distinct, all-or-none responses of the phosphorylated transcription factor c-Fos. In the cytosol, EGF induces transient and HRG induces sustained ERK activation. In the nucleus, however, ERK activity and c-fos mRNA expression are transient for both ligands. Knockdown of dual-specificity phosphatases extends HRG-stimulated nuclear ERK activation, but not c-fos mRNA expression, implying the existence of a HRG-induced repressor of c-fos transcription. Further experiments confirmed that this repressor is mainly induced by HRG, but not EGF, and requires new protein synthesis. We show how a spatially distributed, signaling-transcription cascade robustly discriminates between transient and sustained ERK activities at the c-Fos system level. The proposed control mechanisms are general and operate in different cell types, stimulated by various ligands.

Unit definitions have no effect on the numerical analysis of the model. It remains the responsibility of the modeler to ensure the internal numerical consistency of the model. If units are provided, however, the consistency of the model units will be checked.

Name Definition
1e-09 mole
1e-12 litre
Id Name Spatial dimensions Size
cytoplasm cytoplasm 3.0 940.0
default default 3.0 1.0
nucleus nucleus 3.0 220.0
Id Name Initial quantity Compartment Fixed
A1 A1 182.3524 cytoplasm (cytoplasm)
A1_2 A1_2 0.0 cytoplasm (cytoplasm)
A2 A2 25.38702 cytoplasm (cytoplasm)
A2_2 A2_2 0.0 cytoplasm (cytoplasm)
A3 A3 13.09262 cytoplasm (cytoplasm)
A3_2 A3_2 0.0 cytoplasm (cytoplasm)
CREB_n CREB_n 1000.0 nucleus (nucleus)
DUSP_c DUSP_c 0.0 cytoplasm (cytoplasm)
DUSP_n DUSP_n 0.0 nucleus (nucleus)
DUSP_n_ERK_n DUSP_n_ERK_n 0.0 nucleus (nucleus)
DUSP_n_pERK_n DUSP_n_pERK_n 0.0 nucleus (nucleus)
DUSP_n_ppERK_n DUSP_n_ppERK_n 0.0 nucleus (nucleus)
DUSPmRNA DUSPmRNA 0.0 cytoplasm (cytoplasm)
EGF EGF 1.0 default (default)
ERK_c ERK_c 570.4179 cytoplasm (cytoplasm)
ERK_n ERK_n 1624.9 nucleus (nucleus)
Elk1_n Elk1_n 1510.0 nucleus (nucleus)
F F 0.0 cytoplasm (cytoplasm)
FOSn FOSn 0.0 nucleus (nucleus)
FOSn_2 FOSn_2 0.0 nucleus (nucleus)
FmRNA FmRNA 0.0 cytoplasm (cytoplasm)
Fn Fn 0.0 nucleus (nucleus)
HRG HRG 1.0 default (default)
Kin Kin 82.66574 cytoplasm (cytoplasm)
Kin_2 Kin_2 0.0 cytoplasm (cytoplasm)
MEK MEK 637.3212 cytoplasm (cytoplasm)
PreDUSPmRNA PreDUSPmRNA 0.0 nucleus (nucleus)
PreFOSmRNA PreFOSmRNA 0.0 nucleus (nucleus)
PreFmRNA PreFmRNA 0.0 nucleus (nucleus)
RSK_c RSK_c 353.0 cytoplasm (cytoplasm)
RsD RsD 247.4035 cytoplasm (cytoplasm)
RsT RsT 0.0 cytoplasm (cytoplasm)
c_FOS_c c_FOS_c 0.0 cytoplasm (cytoplasm)
c_FOSmRNA c_FOSmRNA 0.0 cytoplasm (cytoplasm)
pCREB_n pCREB_n 0.0 nucleus (nucleus)
pDUSP_c pDUSP_c 0.0 cytoplasm (cytoplasm)
pDUSP_n pDUSP_n 0.0 nucleus (nucleus)
pDUSP_n_ERK_n pDUSP_n_ERK_n 0.0 nucleus (nucleus)
pDUSP_n_pERK_n pDUSP_n_pERK_n 0.0 nucleus (nucleus)
pDUSP_n_ppERK_n pDUSP_n_ppERK_n 0.0 nucleus (nucleus)
pERK_c pERK_c 0.0 cytoplasm (cytoplasm)
pERK_n pERK_n 0.0 nucleus (nucleus)
pElk1_n pElk1_n 0.0 nucleus (nucleus)
pMEK pMEK 0.0 cytoplasm (cytoplasm)
pRSK_c pRSK_c 0.0 cytoplasm (cytoplasm)
pRSK_n pRSK_n 0.0 nucleus (nucleus)
pc_FOS_c pc_FOS_c 0.0 cytoplasm (cytoplasm)
ppERK_c ppERK_c 0.0 cytoplasm (cytoplasm)
ppERK_n ppERK_n 0.0 nucleus (nucleus)

Initial assignments are expressions that are evaluated at time=0. It is not recommended to create initial assignments for all model entities. Restrict the use of initial assignments to cases where a value is expressed in terms of values or sizes of other model entities. Note that it is not permitted to have both an initial assignment and an assignment rule for a single model entity.

Definition
Id Name Objective coefficient Reaction Equation and Kinetic Law Flux bounds
re106 v007 ERK_c = ERK_n

function_4_v007(KexERK, KimERK, Vc, Vn, ERK_c, ERK_n)
re107 v008 pERK_c = pERK_n

function_4_v008(KexERKP, KimERKP, Vc, Vn, pERK_c, pERK_n)
re108 v009 ppERK_c = ppERK_n

function_4_v009(KexERKPP, KimERKPP, Vc, Vn, ppERK_c, ppERK_n)
re109 v010 ∅ > PreDUSPmRNA

nucleus * function_4_v010(K10, V10, n10, ppERK_n)
re110 v011 PreDUSPmRNA > DUSPmRNA

function_4_v011(Vn, p11, PreDUSPmRNA)
re111 v018 DUSP_c = DUSP_n

function_4_v018(KexDUSP, KimDUSP, Vc, Vn, DUSP_n, DUSP_c)
re112 v019 pDUSP_c = pDUSP_n

function_4_v019(KexDUSPP, KimDUSPP, Vc, Vn, pDUSP_c, pDUSP_n)
re113 v026 pRSK_c = pRSK_n

function_4_v026(KexRSKP, KimRSKP, Vc, Vn, pRSK_n, pRSK_c)
re115 v032 PreFOSmRNA > c_FOSmRNA

function_4_v032(Vn, p32, PreFOSmRNA)
re116 v040 c_FOS_c = FOSn

function_4_v040(KexFOS, KimFOS, Vc, Vn, c_FOS_c, FOSn)
re117 v041 pc_FOS_c = FOSn_2

function_4_v041(KexFOSP, KimFOSP, Vc, Vn, pc_FOS_c, FOSn_2)
re118 v058 PreFmRNA > FmRNA

function_4_v058(Vn, p58, PreFmRNA)
re119 v062 F = Fn

function_4_v062(KexF, KimF, Vc, Vn, F, Fn)
re85 v003 pERK_c > ERK_c

cytoplasm * function_4_v003(K3, K4, V3, pERK_c, ppERK_c)
re86 v004 ppERK_c > pERK_c

cytoplasm * function_4_v004(K3, K4, V4, pERK_c, ppERK_c)
re87 v005 pERK_n > ERK_n

nucleus * function_4_v005(K5, K6, V5, pERK_n, ppERK_n)
re88 v006 ppERK_n > pERK_n

nucleus * function_4_v006(K5, K6, V6, pERK_n, ppERK_n)
re89 v013 ∅ > DUSP_c

cytoplasm * function_4_v013(p13, DUSPmRNA)
re90 v034 ∅ > c_FOS_c

cytoplasm * function_4_v034(p34, c_FOSmRNA)
re92 v057 ∅ > PreFmRNA

nucleus * function_4_v057(K57, V57, n57, FOSn_2)
re94 v059 FmRNA > ∅

cytoplasm * p59 * FmRNA
re95 v060 ∅ > F

cytoplasm * function_4_v060(p60, FmRNA)
re96 v061 F > ∅

cytoplasm * p61 * F
re99 v063 Fn > ∅

nucleus * function_4_v063(cytoplasm, nucleus, p63, Fn)
reaction_12 v020 DUSP_n > pDUSP_n

nucleus * function_4_v020(K20, V20, ppERK_n, DUSP_n)
reaction_13 v021 pDUSP_n > DUSP_n

nucleus * function_4_v021(K21, V21, pDUSP_n)
reaction_14 v022 DUSP_n > ∅

nucleus * p22 * DUSP_n
reaction_15 v023 pDUSP_n > ∅

nucleus * p23 * pDUSP_n
reaction_17 v012 DUSPmRNA > ∅

cytoplasm * p12 * DUSPmRNA
reaction_21 v052 ppERK_n + DUSP_n = DUSP_n_ppERK_n

nucleus * (p47 * DUSP_n * ppERK_n - m47 * DUSP_n_ppERK_n)
reaction_22 v053 DUSP_n_ppERK_n > pERK_n + DUSP_n

nucleus * p48 * DUSP_n_ppERK_n
reaction_23 v054 pERK_n + DUSP_n = DUSP_n_pERK_n

nucleus * (p49 * DUSP_n * pERK_n - m49 * DUSP_n_pERK_n)
reaction_24 v055 DUSP_n_pERK_n > ERK_n + DUSP_n

nucleus * p50 * DUSP_n_pERK_n
reaction_25 v047 ppERK_n + pDUSP_n = pDUSP_n_ppERK_n

nucleus * (p52 * pDUSP_n * ppERK_n - m52 * pDUSP_n_ppERK_n)
reaction_26 v048 pDUSP_n_ppERK_n > pERK_n + pDUSP_n

nucleus * p53 * pDUSP_n_ppERK_n
reaction_27 v049 pERK_n + pDUSP_n = pDUSP_n_pERK_n

nucleus * (p54 * pDUSP_n * pERK_n - m54 * pDUSP_n_pERK_n)
reaction_28 v050 pDUSP_n_pERK_n > ERK_n + pDUSP_n

nucleus * p55 * pDUSP_n_pERK_n
reaction_29 v056 ERK_n + DUSP_n = DUSP_n_ERK_n

nucleus * (p51 * DUSP_n * ERK_n - m51 * DUSP_n_ERK_n)
reaction_30 v051 ERK_n + pDUSP_n = pDUSP_n_ERK_n

nucleus * (p56 * pDUSP_n * ERK_n - m56 * pDUSP_n_ERK_n)
reaction_31 v101 A1 > A1_2

EGFm * cytoplasm * function_4_v101(K101, V101, A1, EGF)
reaction_32 v001 ERK_c > pERK_c

cytoplasm * function_4_v001(Fct, K1, K2, V1, ERK_c, pERK_c, pMEK)
reaction_33 v014 DUSP_c > pDUSP_c

cytoplasm * function_4_v014(K14, V14, ppERK_c, DUSP_c)
reaction_34 v015 pDUSP_c > DUSP_c

cytoplasm * function_4_v015(K15, V15, pDUSP_c)
reaction_35 v016 DUSP_c > ∅

cytoplasm * p16 * DUSP_c
reaction_36 v017 pDUSP_c > ∅

cytoplasm * p17 * pDUSP_c
reaction_41 v024 RSK_c > pRSK_c

cytoplasm * function_4_v024(K24, V24, ppERK_c, RSK_c)
reaction_42 v025 pRSK_c > RSK_c

cytoplasm * function_4_v025(K25, V25, pRSK_c)
reaction_45 v027 CREB_n > pCREB_n

nucleus * function_4_v027(K27, V27, CREB_n, pRSK_n)
reaction_46 v028 pCREB_n > CREB_n

nucleus * function_4_v028(K28, V28, pCREB_n)
reaction_47 v031 ∅ > PreFOSmRNA

nucleus * function_4_v031(K31, KF31, V31, n31, nF31, Fn, pCREB_n, pElk1_n)
reaction_50 v033 c_FOSmRNA > ∅

cytoplasm * p33 * c_FOSmRNA
reaction_52 v042 FOSn > FOSn_2

nucleus * function_4_v042(K42, V42, ppERK_n, FOSn)
reaction_53 v043 FOSn > FOSn_2

nucleus * function_4_v043(K43, V43, FOSn, pRSK_n)
reaction_54 v044 FOSn_2 > FOSn

nucleus * function_4_v044(K44, V44, FOSn_2)
reaction_55 v045 FOSn > ∅

nucleus * p45 * FOSn
reaction_56 v046 FOSn_2 > ∅

nucleus * p46 * FOSn_2
reaction_57 v029 Elk1_n > pElk1_n

nucleus * function_4_v029(K29, V29, ppERK_n, Elk1_n)
reaction_58 v030 pElk1_n > Elk1_n

nucleus * function_4_v030(K30, V30, pElk1_n)
reaction_59 v035 c_FOS_c > pc_FOS_c

cytoplasm * function_4_v035(K35, V35, c_FOS_c, ppERK_c)
reaction_6 v002 pERK_c > ppERK_c

cytoplasm * function_4_v002(Fct, K1, K2, V2, ERK_c, pERK_c, pMEK)
reaction_60 v037 pc_FOS_c > c_FOS_c

cytoplasm * function_4_v037(K37, V37, pc_FOS_c)
reaction_61 v038 c_FOS_c > ∅

cytoplasm * p38 * c_FOS_c
reaction_62 v039 pc_FOS_c > ∅

cytoplasm * p39 * pc_FOS_c
reaction_67 v036 c_FOS_c > pc_FOS_c

cytoplasm * function_4_v036(K36, V36, c_FOS_c, pRSK_c)
reaction_68 v102 A1_2 > A1

cytoplasm * function_4_v102(K102, V102, A1_2)
reaction_69 v103 A2 > A2_2

HRGm * cytoplasm * function_4_v103(K103, V103, A2, HRG)
reaction_70 v104 A2_2 > A2

cytoplasm * function_4_v104(K104, V104, A2_2)
reaction_71 v105 RsD > RsT

EGFm * cytoplasm * function_4_v105(K105, V105, EGF, RsD)
reaction_72 v106 RsD > RsT

HRGm * cytoplasm * function_4_v106(K106, V106, HRG, RsD)
reaction_73 v107 RsT > RsD

cytoplasm * function_4_v107(K107, V107, A1_2, RsT)
reaction_74 v108 RsT > RsD

cytoplasm * function_4_v108(K108, V108, A2_2, RsT)
reaction_75 v109 A3 > A3_2

HRGm * cytoplasm * function_4_v109(K109, V109, HRG, A3)
reaction_76 v110 A3_2 > A3

cytoplasm * function_4_v110(K110, V110, A3_2)
reaction_77 v111 Kin > Kin_2

HRGm * cytoplasm * function_4_v111(K111, V111, HRG, Kin)
reaction_78 v112 Kin_2 > Kin

cytoplasm * function_4_v112(K112, V112, A3_2, Kin_2)
reaction_79 v113 MEK > pMEK

cytoplasm * function_4_v113(K113, V113, RsT, MEK)
reaction_80 v114 MEK > pMEK

cytoplasm * function_4_v114(K114, V114, Kin_2, MEK)
reaction_81 v115 pMEK > MEK

cytoplasm * function_4_v115(K115, V115, pMEK)

Global parameters

Id Value
EGFm 1.0
Fct 0.7485
HRGm 1.0
K1 307.041525298866
K10 169.0473748
K101 3475.168
K102 237.2001
K103 1334.132
K104 4046.71
K105 1.027895
K106 606.871
K107 424.6884
K108 11.5048
K109 7424.816
K110 425.5268
K111 858.3423
K112 4665.217
K113 20.50809
K114 7.774197
K115 2122.045
K14 34180.48
K15 0.001172165
K2 350.0
K20 735598.6967
K21 387.8377182
K24 29516.06587
K25 0.913939859
K27 441.5834425
K28 14.99180922
K29 21312.69109
K3 160.0
K30 15.04396629
K31 185.9760682
K35 8562.744184
K36 528.552427
K37 0.070379236
K4 60.0
K42 3992.061328
K43 1157.116021
K44 0.051168202
K5 29.94073716
K57 0.637490056
K6 29.9407371620698
KF31 0.013844393
KexDUSP 0.070467899
KexDUSPP 0.070467899
KexERK 0.018
KexERKP 0.018
KexERKPP 0.013
KexF 0.396950616
KexFOS 0.133249762
KexFOSP 0.133249762
KexRSKP 0.129803956
KimDUSP 0.024269764
KimDUSPP 0.024269764
KimERK 0.012
KimERKP 0.012
KimERKPP 0.011
KimF 0.019898797
KimFOS 0.54528521
KimFOSP 0.54528521
KimRSKP 0.025925065
V1 0.342848369838443
V10 29.24109258
V101 0.01807448
V102 0.09858154
V103 0.3573399
V104 4.635749
V105 0.05393704
V106 0.109304
V107 5.291093
V108 0.03436149
V109 0.1374307
V110 0.08258693
V111 0.02487469
V112 0.8850982
V113 0.05377297
V114 0.03957055
V115 13.74244
V14 5.636949216
V15 2.992346912
V2 0.22
V20 0.157678678
V21 0.005648117
V24 0.550346114
V25 10.09063736
V27 19.23118154
V28 6.574759504
V29 0.518529841
V3 0.72
V30 13.79479021
V31 0.655214248
V35 8.907637012
V36 0.000597315
V37 1.745848179
V4 0.648
V42 0.909968714
V43 0.076717457
V44 0.078344305
V5 19.49872346
V57 1.026834758
V6 19.4987234631759
Vc 940.0
Vn 220.0
m47 15.80783969
m49 2.335459127
m51 9.544308421
m52 15.80783969
m54 2.335459127
m56 9.544308421
n10 3.970849295
n31 1.988003164
n57 3.584464176
nF31 2.800340453
p11 0.000126129
p12 0.007875765
p13 0.001245747
p16 0.000257
p17 0.0000481
p22 0.000257
p23 0.0000481
p32 0.003284434
p33 0.000601234209304622
p34 0.0000764816282169636
p38 0.000257
p39 0.0000481
p45 0.000257
p46 0.0000481
p47 0.001670815
p48 0.686020478
p49 0.314470502
p50 26.59483436
p51 0.01646825
p52 0.001670815
p53 0.686020478
p54 0.314470502
p55 26.59483436
p56 0.01646825
p58 0.000270488
p59 0.001443889
p60 0.002448164
p61 0.0000349860901414122
p63 0.0000413466150826031

Local parameters

Id Value Reaction

Assignment rules

Definition

Rate rules

Definition

Algebraic rules

Definition
Definition
function_4_v062(KexF, KimF, Vc, Vn, F, Fn) = KimF * Vc * F - KexF * Vn * Fn
function_4_v109(K109, V109, HRG, A3) = V109 * HRG * A3 / (K109 + A3)
function_4_v043(K43, V43, FOSn, pRSK_n) = V43 * pRSK_n * FOSn / (K43 + FOSn)
function_4_v104(K104, V104, A2_2) = V104 * A2_2 / (K104 + A2_2)
function_4_v115(K115, V115, MEKc) = V115 * MEKc / (K115 + MEKc)
function_4_v035(K35, V35, c_FOS_c, ppERK_c) = V35 * ppERK_c * c_FOS_c / (K35 + c_FOS_c)
function_4_v041(KexFOSP, KimFOSP, Vc, Vn, pc_FOS_c, FOSn_2) = KimFOSP * Vc * pc_FOS_c - KexFOSP * Vn * FOSn_2
function_4_v008(KexERKP, KimERKP, Vc, Vn, pERK_c, pERK_n) = KimERKP * Vc * pERK_c - KexERKP * Vn * pERK_n
function_4_v015(K15, V15, pDUSP_c) = V15 * pDUSP_c / (K15 + pDUSP_c)
function_4_v018(KexDUSP, KimDUSP, Vc, Vn, DUSP_n, DUSP_c) = KimDUSP * Vc * DUSP_c - KexDUSP * Vn * DUSP_n
function_4_v003(K3, K4, V3, pERK_c, ppERK_c) = V3 * pERK_c / (K3 * (1 + ppERK_c / K4) + pERK_c)
function_4_v005(K5, K6, V5, pERK_n, ppERK_n) = V5 * pERK_n / (K5 * (1 + ppERK_n / K6) + pERK_n)
function_4_v006(K5, K6, V6, pERK_n, ppERK_n) = V6 * ppERK_n / (K6 * (1 + pERK_n / K5) + ppERK_n)
function_4_v020(K20, V20, ppERK_n, DUSP_n) = V20 * ppERK_n * DUSP_n / (K20 + DUSP_n)
function_4_v021(K21, V21, pDUSP_n) = V21 * pDUSP_n / (K21 + pDUSP_n)
function_4_v024(K24, V24, ppERK_c, RSK_c) = V24 * ppERK_c * RSK_c / (K24 + RSK_c)
function_4_v002(Fct, K1, K2, V2, ERK_c, pERK_c, MEKc) = V2 * Fct * MEKc * pERK_c / (K2 * (1 + ERK_c / K1) + pERK_c)
function_4_v036(K36, V36, c_FOS_c, pRSK_c) = V36 * pRSK_c * c_FOS_c / (K36 + c_FOS_c)
function_4_v037(K37, V37, pc_FOS_c) = V37 * pc_FOS_c / (K37 + pc_FOS_c)
function_4_v040(KexFOS, KimFOS, Vc, Vn, c_FOS_c, FOSn) = KimFOS * Vc * c_FOS_c - KexFOS * Vn * FOSn
function_4_v107(K107, V107, A1_2, RsT) = V107 * A1_2 * RsT / (K107 + RsT)
function_4_v014(K14, V14, ppERK_c, DUSP_c) = V14 * ppERK_c * DUSP_c / (K14 + DUSP_c)
function_4_v110(K110, V110, A3_2) = V110 * A3_2 / (K110 + A3_2)
function_4_v114(K114, V114, Kin_2, pMEK_c) = V114 * Kin_2 * pMEK_c / (K114 + pMEK_c)
function_4_v031(K31, KF31, V31, n31, nF31, Fn, pCREB_n, pElk1_n) = V31 * pow(pCREB_n * pElk1_n, n31) / (pow(K31, n31) + pow(pCREB_n * pElk1_n, n31) + pow(Fn / KF31, nF31))
function_4_v007(KexERK, KimERK, Vc, Vn, ERK_c, ERK_n) = KimERK * Vc * ERK_c - KexERK * Vn * ERK_n
function_4_v004(K3, K4, V4, pERK_c, ppERK_c) = V4 * ppERK_c / (K4 * (1 + pERK_c / K3) + ppERK_c)
function_4_v001(Fct, K1, K2, V1, ERK_c, pERK_c, MEKc) = V1 * Fct * MEKc * ERK_c / (K1 * (1 + pERK_c / K2) + ERK_c)
function_4_v010(K10, V10, n10, ppERK_n) = V10 * pow(ppERK_n, n10) / (pow(K10, n10) + pow(ppERK_n, n10))
function_4_v113(K113, V113, RsT, pMEK_c) = V113 * RsT * pMEK_c / (K113 + pMEK_c)
function_4_v111(K111, V111, HRG, Kin) = V111 * HRG * Kin / (K111 + Kin)
function_4_v112(K112, V112, A3_2, Kin_2) = V112 * A3_2 * Kin_2 / (K112 + Kin_2)
function_4_v108(K108, V108, A2_2, RsT) = V108 * A2_2 * RsT / (K108 + RsT)
function_4_v106(K106, V106, HRG, RsD) = V106 * HRG * RsD / (K106 + RsD)
function_4_v105(K105, V105, EGF, RsD) = V105 * EGF * RsD / (K105 + RsD)
function_4_v103(K103, V103, A2, HRG) = V103 * HRG * A2 / (K103 + A2)
function_4_v102(K102, V102, A1_2) = V102 * A1_2 / (K102 + A1_2)
function_4_v101(K101, V101, A1, EGF) = V101 * EGF * A1 / (K101 + A1)
function_4_v063(cytoplasm, nucleus, p63, Fn) = cytoplasm * p63 * Fn / nucleus
function_4_v060(p60, FmRNA) = p60 * FmRNA
function_4_v057(K57, V57, n57, FOSn_2) = V57 * pow(FOSn_2, n57) / (pow(K57, n57) + pow(FOSn_2, n57))
function_4_v044(K44, V44, FOSn_2) = V44 * FOSn_2 / (K44 + FOSn_2)
function_4_v042(K42, V42, ppERK_n, FOSn) = V42 * ppERK_n * FOSn / (K42 + FOSn)
function_4_v030(K30, V30, pElk1_n) = V30 * pElk1_n / (K30 + pElk1_n)
function_4_v028(K28, V28, pCREB_n) = V28 * pCREB_n / (K28 + pCREB_n)
function_4_v027(K27, V27, CREB_n, pRSK_n) = V27 * pRSK_n * CREB_n / (K27 + CREB_n)
function_4_v058(Vn, p58, PreFmRNA) = p58 * Vn * PreFmRNA
function_4_v034(p34, c_FOSmRNA) = p34 * c_FOSmRNA
function_4_v026(KexRSKP, KimRSKP, Vc, Vn, pRSK_n, pRSK_c) = KimRSKP * Vc * pRSK_c - KexRSKP * Vn * pRSK_n
function_4_v025(K25, V25, pRSK_c) = V25 * pRSK_c / (K25 + pRSK_c)
function_4_v032(Vn, p32, PreFOSmRNA) = p32 * Vn * PreFOSmRNA
function_4_v013(p13, DUSPmRNA) = p13 * DUSPmRNA
function_4_v011(Vn, p11, PreDUSPmRNA) = p11 * Vn * PreDUSPmRNA
function_4_v009(KexERKPP, KimERKPP, Vc, Vn, ppERK_c, ppERK_n) = KimERKPP * Vc * ppERK_c - KexERKPP * Vn * ppERK_n
function_4_v029(K29, V29, ppERK_n, Elk1_n) = V29 * ppERK_n * Elk1_n / (K29 + Elk1_n)
function_4_v019(KexDUSPP, KimDUSPP, Vc, Vn, pDUSP_c, pDUSP_n) = KimDUSPP * Vc * pDUSP_c - KexDUSPP * Vn * pDUSP_n
Trigger Assignments