metaid_0000104
constant: false
boundary condition: true
has only substance units: false
initial concentration: 91.317880794702
initial amount: NaN
in compartment: metaid_0000003
name: G_H
type: Species

metaid_0000086
constant: false
value: 0.0
name: R_HGP
type: Parameter

metaid_0000051
constant: true
value: 0.9
name: Q_I_L
type: Parameter

metaid_0000200
constant: false
value: 5.35294117647059
name: I_PI_0
type: Parameter

metaid_0000070
constant: true
value: 910.0
name: r_MGammaC
type: Parameter

metaid_0000024
constant: true
value: 10.1
name: Q_G_K
type: Parameter

metaid_0000114
constant: false
boundary condition: true
has only substance units: false
initial concentration: 15.2941176470588
initial amount: NaN
in compartment: metaid_0000003
name: I_B
type: Species

metaid_0000096
constant: false
value: 0.0
name: G_EMT_puck
type: Parameter

metaid_0000008
constant: true
value: 0.84
name: gluc
type: Parameter

metaid_0000030
constant: true
value: 70.0
name: r_BGU
type: Parameter

metaid_0000045
constant: true
value: 0.07
name: V_I_PN
type: Parameter

metaid_0000198
constant: false
value: 21.6411764705882
name: I_L_0
type: Parameter

metaid_0000127
constant: false
boundary condition: true
has only substance units: false
initial concentration: 0.0
initial amount: NaN
in compartment: metaid_0000003
name: R_OGA
type: Species

metaid_0000025
constant: true
value: 15.1
name: Q_G_P
type: Parameter

metaid_0000201
constant: false
value: 0.188593500106047
name: I_0
type: Parameter

metaid_0000079
constant: false
value: 0.155906534987379
name: Y
type: Parameter

metaid_0000065
constant: true
value: 6.3294
name: Q_0
type: Parameter

metaid_0000039
constant: true
value: 0.985
name: V_I_H
type: Parameter

metaid_0000059
constant: true
value: 0.048229
name: alpha
type: Parameter

metaid_0000105
constant: false
boundary condition: true
has only substance units: false
initial concentration: 89.2345474613687
initial amount: NaN
in compartment: metaid_0000003
name: G_G
type: Species

metaid_0000183
constant: false
value: 0.188593500106047
name: X_0
type: Parameter

metaid_0000071
constant: true
value: 22.0
name: T_A
type: Parameter

metaid_0000050
constant: true
value: 1.05
name: Q_I_P
type: Parameter

metaid_0000115
constant: false
boundary condition: true
has only substance units: false
initial concentration: 15.2941176470588
initial amount: NaN
in compartment: metaid_0000003
name: I_H
type: Species

metaid_0000190
constant: false
value: 91.317880794702
name: G_K_0
type: Parameter

metaid_0000044
constant: true
value: 6.3
name: V_I_PI
type: Parameter

metaid_0000126
constant: false
boundary condition: true
has only substance units: false
initial concentration: 529.558823529412
initial amount: NaN
in compartment: metaid_0000003
name: I_PN
type: Species

metaid_0000197
constant: false
value: 15.2941176470588
name: I_G_0
type: Parameter

metaid_0000007
constant: true
value: 13.0
name: I_PV_0
type: Parameter

metaid_0000078
constant: false
value: 0.188593500106047
name: X
type: Parameter

metaid_0000202
constant: false
value: 15.23702520935
name: Qi
type: Parameter

metaid_0000026
constant: true
value: 0.5
name: Q_G_PN
type: Parameter

metaid_0000234
constant: false
value: 0.0
name: checkdiff1
type: Parameter

metaid_0000130
constant: false
boundary condition: true
has only substance units: false
initial concentration: 0.0
initial amount: NaN
in compartment: metaid_0000003
name: G_gut
type: Species

metaid_0000064
constant: true
value: 0.57493
name: gamma
type: Parameter

metaid_0000011
constant: true
value: 3.5
name: V_G_BV
type: Parameter

metaid_0000120
constant: false
boundary condition: true
has only substance units: false
initial concentration: 5.35294117647059
initial amount: NaN
in compartment: metaid_0000003
name: I_PI
type: Species

metaid_0000102
constant: false
boundary condition: true
has only substance units: false
initial concentration: 79.453474015041
initial amount: NaN
in compartment: metaid_0000003
name: G_BV
type: Species

metaid_0000263
constant: true
value: 0.5
name: k
type: Parameter

metaid_0000084
constant: false
value: 0.0
name: M_Gamma_HGP
type: Parameter

metaid_0000058
constant: true
value: 0.03
name: epsilon
type: Parameter

metaid_0000191
constant: false
value: 86.2222222222222
name: G_PI_0
type: Parameter

metaid_0000116
constant: false
boundary condition: true
has only substance units: false
initial concentration: 15.2941176470588
initial amount: NaN
in compartment: metaid_0000003
name: I_G
type: Species

metaid_0000048
constant: true
value: 0.18
name: Q_I_A
type: Parameter

metaid_0000098
constant: false
value: 0.155906534987379
name: P_inf
type: Parameter

metaid_0000129
constant: false
value: 0.0
name: checkdiff
type: Parameter

metaid_0000091
constant: false
value: 0.999787470357405
name: M_I_PGU
type: Parameter

metaid_0000151
constant: false
value: 2.40882352941176
name: r_PIC
type: Parameter

metaid_0000077
constant: true
value: 0.14
name: r_M_GIP_C
type: Parameter

metaid_0000027
constant: true
value: 9.6
name: Q_G_G
type: Parameter

metaid_0000006
constant: true
value: 89.0
name: G_PV_0
type: Parameter

metaid_0000057
constant: true
value: 0.15
name: F_PIC
type: Parameter

metaid_0000101
constant: false
value: 0.0189283967735159
name: S_B_G_H
type: Parameter

metaid_0000100
constant: true
value: 4.0
name: t_CHO
type: Parameter

metaid_0000131
constant: false
boundary condition: true
has only substance units: false
initial concentration: 0.0
initial amount: NaN
in compartment: metaid_0000003
name: GIP_gut
type: Species

metaid_0000037
constant: true
value: 65.0
name: tao_gamma
type: Parameter

metaid_0000067
constant: true
value: 0.003
name: fi
type: Parameter

metaid_0000262
constant: true
value: 3.0
name: IVTL
type: Parameter

metaid_0000085
constant: false
value: 1.00019272786066
name: M_G_HGP
type: Parameter

metaid_0000103
constant: false
boundary condition: true
has only substance units: false
initial concentration: 46.7868073483743
initial amount: NaN
in compartment: metaid_0000003
name: G_BI
type: Species

metaid_0000181
constant: false
value: 79.453474015041
name: G_BV_0
type: Parameter

metaid_0000047
constant: true
value: 3.12
name: Q_I_H
type: Parameter

metaid_0000192
constant: true
value: 1.0
name: M_I_HGP_0
type: Parameter

metaid_0000117
constant: false
boundary condition: true
has only substance units: false
initial concentration: 21.6411764705882
initial amount: NaN
in compartment: metaid_0000003
name: I_L
type: Species

metaid_0000099
constant: false
value: 1428.57142857143
name: CHO_M
type: Parameter

metaid_0000028
constant: true
value: 2.1
name: T_B
type: Parameter

metaid_0000005
constant: true
value: 7.1756
name: pmu
type: Parameter

metaid_0000247
constant: false
value: 0.155906534987379
name: P_inf_0
type: Parameter

metaid_0000142
constant: true
value: 5.0
name: T_G_P
type: Parameter

metaid_0000152
constant: false
value: 12.9847058823529
name: r_LIC
type: Parameter

metaid_0000189
constant: false
value: 100.444864921686
name: G_L_0
type: Parameter

metaid_0000076
constant: true
value: 9.93
name: V_GIP
type: Parameter

metaid_0000090
constant: false
value: 20.0065243051013
name: R_HGU
type: Parameter

metaid_0000128
constant: false
boundary condition: true
has only substance units: false
initial concentration: 0.0
initial amount: NaN
in compartment: metaid_0000003
name: GIP_body
type: Species

metaid_0000199
constant: false
value: 10.7058823529412
name: I_K_0
type: Parameter

metaid_0000241
constant: false
value: 91.317880794702
name: G_PN_0
type: Parameter

metaid_0000046
constant: true
value: 0.45
name: Q_I_B
type: Parameter

metaid_0000056
constant: true
value: 0.3
name: F_KIC
type: Parameter

metaid_0000038
constant: true
value: 0.265
name: V_I_B
type: Parameter

metaid_0000066
constant: true
value: 1.1141
name: delta
type: Parameter

metaid_0000118
constant: false
boundary condition: true
has only substance units: false
initial concentration: 10.7058823529412
initial amount: NaN
in compartment: metaid_0000003
name: I_K
type: Species

metaid_0000055
constant: true
value: 0.4
name: F_LIC
type: Parameter

metaid_0000020
constant: true
value: 5.9
name: Q_G_B
type: Parameter

metaid_0000153
constant: false
value: 3.30352941176471
name: r_KIC
type: Parameter

metaid_0000015
constant: true
value: 11.2
name: V_G_G
type: Parameter

metaid_0000018
constant: true
value: 63.0
name: V_G_PI
type: Parameter

metaid_0000041
constant: true
value: 1.07
name: V_I_L
type: Parameter

metaid_0000188
constant: false
value: 89.2345474613687
name: G_G_0
type: Parameter

metaid_0000122
constant: false
boundary condition: true
has only substance units: false
initial concentration: 0.188593500106047
initial amount: NaN
in compartment: metaid_0000003
name: I
type: Species

metaid_0000034
constant: true
value: 155.0
name: r_B_HGP
type: Parameter

MODEL1112110000
parameter: metaid_0000043
parameter: metaid_0000036
parameter: metaid_0000201
parameter: metaid_0000083
parameter: metaid_0000017
parameter: metaid_0000022
parameter: metaid_0000089
parameter: metaid_0000247
species: metaid_0000104
parameter: metaid_0000090
species: metaid_0000111
notes: This a model from the article: The Feedback Control of Glucose: On the road to type II diabetes Alvehag, K.; Martin, C. Proceedings of 45th IEEE Conference on Decision and Control 2006,685-690 Abstract: This paper develops a mathematical model for the feedback control of glucose regulation in the healthy human being and is based on the work of Sorensen (1985). The proposed model serves as a starting point for modeling type II diabetes. Four agents - glucose and the three hormones insulin, glucagon, and incretins - are assumed to have an effect on glucose metabolism. By letting compartments represent anatomical organs, the model has a close resemblance to a real human body. Mass balance equations that account for blood flows, exchange between compartments, and metabolic sinks and sources are written, and these result in simultaneous dif- ferential equations that are solved numerically. The metabolic sinks and sources - removing or adding glucose, insulin, glucagon, and incretins - describe physiological processes in the body. These processes function as feedback control systems and have nonlinear behaviors. The results of simulations performed for three different clinical test types indicate that the model is successful in simulating intravenous glucose, oral glucose, and meals containing mainly carbohydrates. This model originates from BioModels Database: A Database of Annotated Published Models (http://www.ebi.ac.uk/biomodels/). It is copyright (c) 2005-2011 The BioModels.net Team. To the extent possible under law, all copyright and related or neighbouring rights to this encoded model have been dedicated to the public domain worldwide. Please refer to CC0 Public Domain Dedication for more information. In summary, you are entitled to use this encoded model in absolutely any manner you deem suitable, verbatim, or with modification, alone or embedded it in a larger context, redistribute it, commercially or not, in a restricted way or not.. To cite BioModels Database, …
parameter: metaid_0000068
parameter: metaid_0000014
parameter: metaid_0000042
rule: metaid_0000144
species: metaid_0000131
parameter: metaid_0000067
rule: metaid_0000213
species: metaid_0000108
parameter: metaid_0000088
species: metaid_0000128
compartment: metaid_0000003
rule: metaid_0000150
rule: metaid_0000217
rule: metaid_0000231
parameter: metaid_0000203
parameter: metaid_0000038
parameter: metaid_0000066
rule: metaid_0000134
parameter: metaid_0000005
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substance units: 687672
parameter: metaid_0000024
rule: metaid_0000251
parameter: metaid_0000098
parameter: metaid_0000072
parameter: metaid_0000092
species: metaid_0000116
species: metaid_0000123
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rule: metaid_0000205
parameter: metaid_0000056
parameter: metaid_0000135
type: SBMLModel
parameter: metaid_0000037
parameter: metaid_0000100
parameter: metaid_0000051
parameter: metaid_0000188
rule: metaid_0000225
parameter: metaid_0000070
parameter: metaid_0000069
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parameter: metaid_0000008
parameter: metaid_0000048
area units: 802883
rule: metaid_0000162
parameter: metaid_0000187
name: Alvehag2006_IVGTT_GlucoseModel_A
species: metaid_0000103
parameter: metaid_0000054
parameter: metaid_0000075
species: metaid_0000110
parameter: metaid_0000094
parameter: metaid_0000012
rule: metaid_0000215
parameter: metaid_0000033
parameter: metaid_0000193
species: metaid_0000130
species: metaid_0000107
is described by: CDC.2006.377192
rule: metaid_0000235
parameter: metaid_0000025
parameter: metaid_0000053
species: metaid_0000127
parameter: metaid_0000078
parameter: metaid_0000191
length unit: 802859

metaid_0000108
constant: false
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has only substance units: false
initial concentration: 89.0
initial amount: NaN
in compartment: metaid_0000003
name: G_PV
type: Species

metaid_0000061
constant: true
value: 0.0079378
name: K
type: Parameter

metaid_0000075
constant: true
value: 25.0
name: T_GIP
type: Parameter

metaid_0000194
constant: true
value: 1.0
name: M_I_HGU_0
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metaid_0000261
constant: true
value: -3.0
name: IVT
type: Parameter

metaid_0000083
constant: false
value: 0.0
name: M_Gamma0_HGP
type: Parameter

metaid_0000113
constant: false
boundary condition: true
has only substance units: false
initial concentration: 1.0
initial amount: NaN
in compartment: metaid_0000003
name: M_I_HGU
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metaid_0000093
constant: false
value: 34.9925614625092
name: R_PGU
type: Parameter

metaid_0000111
constant: false
boundary condition: true
has only substance units: false
initial concentration: 0.0
initial amount: NaN
in compartment: metaid_0000003
name: f2
type: Species

metaid_0000119
constant: false
boundary condition: true
has only substance units: false
initial concentration: 13.0
initial amount: NaN
in compartment: metaid_0000003
name: I_PV
type: Species

metaid_0000021
constant: true
value: 43.7
name: Q_G_H
type: Parameter

metaid_0000068
constant: true
value: 1.0E-4
name: fi2
type: Parameter

metaid_0000054
constant: true
value: 20.0
name: T_I_P
type: Parameter

metaid_0000049
constant: true
value: 0.72
name: Q_I_K
type: Parameter

metaid_0000017
constant: true
value: 10.4
name: V_G_PV
type: Parameter

metaid_0000016
constant: true
value: 6.6
name: V_G_K
type: Parameter

metaid_0000154
constant: false
value: 1.00009405949149
name: M_G_PGammaR
type: Parameter

metaid_0000140
constant: false
value: 0.0426179507064575
name: r_KGE
type: Parameter

metaid_0000109
constant: false
boundary condition: true
has only substance units: false
initial concentration: 86.2222222222222
initial amount: NaN
in compartment: metaid_0000003
name: G_PI
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metaid_0000035
constant: true
value: 20.0
name: r_B_HGU
type: Parameter

metaid_0000135
constant: true
value: 10.0
name: r_RBCU
type: Parameter

metaid_0000121
constant: false
boundary condition: true
has only substance units: false
initial concentration: 0.155906534987379
initial amount: NaN
in compartment: metaid_0000003
name: P
type: Species

metaid_0000187
constant: false
value: 46.7868073483743
name: G_BI_0
type: Parameter

metaid_0000040
constant: true
value: 0.945
name: V_I_G
type: Parameter

metaid_0000082
constant: false
value: 0.995761346229888
name: M_Iinf_HGP
type: Parameter

metaid_0000036
constant: true
value: 25.0
name: tao_I
type: Parameter

metaid_0000210
constant: false
value: 18.5135294117647
name: r_B_PIR
type: Parameter

metaid_0000060
constant: true
value: 0.93141
name: beta
type: Parameter

metaid_0000074
constant: true
value: 0.009
name: xi
type: Parameter

metaid_0000069
constant: true
value: 9930.0
name: V_Gamma
type: Parameter

metaid_0000092
constant: false
value: 1.0
name: M_G_PGU
type: Parameter

metaid_0000193
constant: true
value: 0.0
name: f2_0
type: Parameter

metaid_0000003
constant: true
size: 1.0
spatial dimensions: 3.0
name: compartment1
type: Compartment

metaid_0000022
constant: true
value: 2.5
name: Q_G_A
type: Parameter

metaid_0000110
constant: false
boundary condition: true
has only substance units: false
initial concentration: 1.0
initial amount: NaN
in compartment: metaid_0000003
name: M_I_HGP
type: Species

metaid_0000053
constant: true
value: 0.696
name: Q_I_G
type: Parameter

metaid_0000186
constant: false
value: 0.155906534987379
name: Y_0
type: Parameter

metaid_0000088
constant: false
value: 0.999540713209242
name: M_Iinf_HGU
type: Parameter

metaid_0000032
constant: true
value: 20.0
name: r_GGU
type: Parameter

metaid_0000106
constant: false
boundary condition: true
has only substance units: false
initial concentration: 100.444864921686
initial amount: NaN
in compartment: metaid_0000003
name: G_L
type: Species

metaid_0000043
constant: true
value: 0.735
name: V_I_PV
type: Parameter

metaid_0000155
constant: false
value: 1.0000425482473
name: M_I_PGammaR
type: Parameter

metaid_0000012
constant: true
value: 4.5
name: V_BI
type: Parameter

metaid_0000063
constant: true
value: 1.0
name: M2
type: Parameter

metaid_0000125
constant: false
boundary condition: true
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initial concentration: 91.317880794702
initial amount: NaN
in compartment: metaid_0000003
name: G_PN
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metaid_0000095
constant: true
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name: g_EMT
type: Parameter

metaid_0000081
constant: false
value: 7.69044688505983
name: r_PIR
type: Parameter

metaid_0000203
constant: false
value: 529.558823529412
name: I_PN_0
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metaid_0000196
constant: false
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name: I_H_0
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metaid_0000073
constant: true
value: 1.0
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metaid_0000166
constant: false
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initial concentration: 0.0
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in compartment: metaid_0000003
name: r_OGA
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metaid_0000004
constant: true
value: 70.0
name: bw
type: Parameter

metaid_0000023
constant: true
value: 12.6
name: Q_G_L
type: Parameter

metaid_0000052
constant: true
value: 0.036
name: Q_I_PN
type: Parameter

metaid_0000175
constant: false
value: 91.317880794702
name: G_H_0
type: Parameter

metaid_0000123
constant: false
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has only substance units: false
initial concentration: 6.3294
initial amount: NaN
in compartment: metaid_0000003
name: Q
type: Species

metaid_0000042
constant: true
value: 0.505
name: V_I_K
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metaid_0000089
constant: false
value: 1.00032621525506
name: M_G_HGU
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metaid_0000107
constant: false
boundary condition: true
has only substance units: false
initial concentration: 91.317880794702
initial amount: NaN
in compartment: metaid_0000003
name: G_K
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metaid_0000019
constant: true
value: 1.6
name: V_G_PN
type: Parameter

metaid_0000033
constant: true
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name: r_B_PGU
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metaid_0000185
constant: false
value: 0.155906534987379
name: P_0
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metaid_0000156
constant: false
value: 523.1863
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metaid_0000014
constant: true
value: 23.5
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metaid_0000013
constant: true
value: 13.8
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metaid_0000062
constant: true
value: 0.007968
name: M1
type: Parameter

metaid_0000080
constant: false
value: 0.00786278114607138
name: S
type: Parameter

metaid_0000094
constant: false
value: 0.0
name: r_IVG
type: Parameter

metaid_0000124
constant: false
boundary condition: true
has only substance units: false
initial concentration: 0.0
initial amount: NaN
in compartment: metaid_0000003
name: Gamma
type: Species

metaid_0000195
constant: false
value: 15.2941176470588
name: I_B_0
type: Parameter

metaid_0000204
constant: true
value: 0.0
name: r_OGA_0
type: Parameter

metaid_0000009
constant: true
value: 100.0
name: carbs
type: Parameter

metaid_0000072
constant: true
value: 73.0
name: T_GE
type: Parameter