schoeberl

v_1

x2 = x3

v_10

x6 + x16 = x10

v_100

x60 + x81 = x85

v_101

x55 + x60 = x85

v_102

x15 = x17

v_103

x32 = x63

v_104

x33 = x64

v_105

x25 = x19

v_106

x12 + x25 = x88

v_107

x9 + x19 = x88

v_108

x27 = x20

v_109

x12 + x27 = x89

v_11

{2.0}x10 = x11

v_110

x9 + x20 = x89

v_111

x29 = x21

v_112

x12 + x29 = x90

v_113

x9 + x21 = x90

v_114

x34 = x65

v_115

x12 + x34 = x91

v_116

x9 + x65 = x91

v_117

x35 = x66

v_118

x12 + x35 = x92

v_119

x9 + x66 = x92

v_12

x11 = x8

v_120

x36 = x67

v_121

x12 + x36 = x93

v_122

x9 + x67 = x93

v_123

x37 = x68

v_124

x12 + x37 = x94

v_125

x9 + x68 = x94

v_126

x25 + x59 = x95

v_127

x19 + x83 = x96

v_128

x35 + x59 = x97

v_129

x66 + x83 = x98

v_13

ext = x2

v_130

x24 + x59 = x101

v_131

x24 + x83 = x102

v_132

x17 = x87

v_133

x18 = x87

v_134

x19 = x87

v_135

x20 = x87

v_136

x21 = x87

v_137

x63 = x87

v_138

x64 = x87

v_139

x65 = x87

v_14

x8 + x14 = x17

v_140

x66 = x87

v_141

x67 = x87

v_142

x68 = x87

v_143

x59 + x99 = x95

v_144

x59 + x99 = x97

v_145

x59 + x103 = x101

v_146

x83 + x100 = x96

v_147

x83 + x100 = x98

v_148

x83 + x103 = x102

v_15

x9 = x12

v_16

x15 + x22 = x23

v_17

x23 + x24 = x25

v_18

x25 + x26 = x27

v_19

x25 + x28 = x27

v_2

{2.0}x3 = x4

v_20

x25 + x43 = x29

v_21

x25 + x26 = x29

v_22

x15 + x31 = x32

v_23

x32 = x33

v_24

x22 + x33 = x34

v_25

x24 + x34 = x35

v_26

x26 + x35 = x36

v_27

x28 + x35 = x36

v_28

x28 + x41 = x42

v_29

x43 + x45 = x42

v_3

x4 = x5

v_30

x35 + x43 = x37

v_31

x26 + x35 = x37

v_32

x15 + x38 = x35

v_33

x30 + x40 = x38

v_34

x15 + x30 = x25

v_35

x22 + x24 = x30

v_36

x40 = x31

v_37

x15 + x40 = x33

v_38

x22 + x40 = x39

v_39

x15 + x39 = x34

v_4

x12 + x23 = x7

v_40

x24 + x39 = x38

v_41

x30 + x33 = x35

v_42

x44 + x45 = x46

v_43

x41 + x44 = x46

v_44

x45 + x47 = x48

v_45

x45 + x49 = x48

v_46

x45 + x49 = x50

v_47

x45 + x51 = x50

v_48

x51 + x53 = x52

v_49

x49 + x53 = x52

v_5

x9 + x18 = x7

v_50

x49 + x53 = x54

v_51

x47 + x53 = x54

v_52

x51 + x55 = x56

v_53

x51 + x57 = x56

v_54

x51 + x57 = x58

v_55

x51 + x59 = x58

v_56

x59 + x60 = x61

v_57

x57 + x60 = x61

v_58

x57 + x60 = x62

v_59

x55 + x60 = x62

v_6

x2 = x6

v_60

x6 = x86

v_61

x16 = x13

v_62

x8 = x87

v_63

x17 + x22 = x18

v_64

x18 + x24 = x19

v_65

x19 + x26 = x20

v_66

x19 + x69 = x20

v_67

x19 + x71 = x21

v_68

x19 + x26 = x21

v_69

x17 + x31 = x63

v_7

x5 = x8

v_70

x63 = x64

v_71

x22 + x64 = x65

v_72

x24 + x65 = x66

v_73

x26 + x66 = x67

v_74

x66 + x69 = x67

v_75

x41 + x69 = x70

v_76

x71 + x72 = x70

v_77

x66 + x71 = x68

v_78

x26 + x66 = x68

v_79

x17 + x38 = x66

v_8

x5 + x14 = x15

v_80

x17 + x30 = x19

v_81

x17 + x40 = x64

v_82

x17 + x39 = x65

v_83

x30 + x64 = x66

v_84

x44 + x72 = x73

v_85

x41 + x44 = x73

v_86

x47 + x72 = x74

v_87

x72 + x75 = x74

v_88

x72 + x75 = x76

v_89

x72 + x77 = x76

v_9

x23 = x18

v_90

x53 + x77 = x78

v_91

x53 + x75 = x78

v_92

x53 + x75 = x79

v_93

x47 + x53 = x79

v_94

x55 + x77 = x80

v_95

x77 + x81 = x80

v_96

x77 + x81 = x82

v_97

x77 + x83 = x82

v_98

x60 + x83 = x84

v_99

x60 + x81 = x84

Global parameters

Assignment rules

k10b = k10/a/Vv

kd57 = k56/a/Vz*a*Vz*KmPase - kd56

k52 = (kd53 + kd52)/a/Vz/KmERK

kd49 = k48/a/Vz*a*Vz*KmPase - kd48

kd63 = kd24*0.5

k44 = (kd45 + kd44)/a/Vz/KmMEK

kd5 = ((-0.0000135)*(RT/((kd1/k1)/Lo + 1)) + 1.55)/60

Function definitions

Note that constraints are not enforced in simulations. It remains the responsibility of the user to verify that simulation results satisfy these constraints.


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Computational modeling of the dynamics of the MAP kinase cascade activated by surface and internalized EGF receptors.

  • Birgit Schoeberl
  • Claudia Eichler-Jonsson
  • Ernst D Gilles
  • Gertraud Müller
Nat. Biotechnol. 2002; 20 (4): 370-375
Abstract
We present a computational model that offers an integrated quantitative, dynamic, and topological representation of intracellular signal networks, based on known components of epidermal growth factor (EGF) receptor signal pathways. The model provides insight into signal-response relationships between the binding of EGF to its receptor at the cell surface and the activation of downstream proteins in the signaling cascade. It shows that EGF-induced responses are remarkably stable over a 100-fold range of ligand concentration and that the critical parameter in determining signal efficacy is the initial velocity of receptor activation. The predictions of the model agree well with experimental analysis of the effect of EGF on two downstream responses, phosphorylation of ERK-1/2 and expression of the target gene, c-fos.

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