metaid_0000030
is: SBO:0000009
constant: true
value: 40.0
name: Rtotal
type: Parameter

COPASI11
is: SBO:0000009
constant: false
value: 1.77516670169197
name: Ctotal
type: Parameter

metaid_0000044
is: GO:0005102
is: SBO:0000009
constant: false
value: 0.0
name: r3
type: Parameter

COPASI6
is: SBO:0000064
constant: false
value: 4.38312765849869
name: Ratetotal
type: Parameter

metaid_0000048
is version of: GO:0005102
is: SBO:0000009
constant: false
value: 0.0
name: r7
type: Parameter

metaid_0000065
boundary condition: true
is: SBO:0000297
has only substance units: false
is version of: REACT 3518.1
initial amount: NaN
constant: false
initial concentration: 0.0
name: IR
in compartment: metaid_0000062
type: Species

metaid_0000058
is version of: GO:0006897
is: SBO:0000009
constant: false
value: 0.0
name: f3
type: Parameter

metaid_0000069
has version: REACT 3057.1
initial concentration: 0.0
boundary condition: true
constant: false
is: SBO:0000297
has only substance units: false
type: Species
name: I2Rp
in compartment: metaid_0000062
initial amount: NaN

metaid_0000054
is version of: GO:0016310
is: SBO:0000216
constant: false
value: 0.0
name: i6
type: Parameter

metaid_0000020
is: SBO:0000180
constant: true
value: 4.0E-4
name: kins1d
type: Parameter

metaid_0000060
is: GO:0006897
is: SBO:0000009
constant: false
value: 0.0
name: f5
type: Parameter

metaid_0000024
is: SBO:0000330
constant: true
value: 0.00385
name: kyd
type: Parameter

metaid_0000038
is: SBO:0000468
constant: false
value: 0.00742150333016175
name: vhep
type: Parameter

COPASI2
initial amount: NaN
constant: false
type: Species
name: I2RPen
is: SBO:0000297
initial concentration: -4.44089209850063E-15
has version: REACT 4836.1
boundary condition: true
has only substance units: false
in compartment: metaid_0000062

metaid_0000040
is: SBO:0000504
constant: false
value: 1.47826086956522
name: mkidney
type: Parameter

COPASI14
is: SBO:0000064
constant: false
value: 0.0
name: ReceptorInsPM
type: Parameter

metaid_0000034
is: SBO:0000009
constant: true
value: 0.5
name: Kpan
type: Parameter

metaid_0000059
is version of: GO:0006897
is: SBO:0000009
constant: false
value: 0.0
name: f4
type: Parameter

metaid_0000031
is version of: GO:0043559
is: SBO:0000009
constant: true
value: 0.35
name: k1ub
type: Parameter

metaid_0000045
is: GO:0005102
is: SBO:0000009
constant: false
value: 0.0
name: r4
type: Parameter

COPASI12
is: SBO:0000064
constant: false
value: -1.11022302462516E-16
name: ReceptorIns
type: Parameter

metaid_0000049
is version of: GO:0016310
is: SBO:0000216
constant: false
value: 0.0
name: i1
type: Parameter

metaid_0000050
is version of: GO:0016310
is: SBO:0000216
constant: false
value: 0.0
name: i2
type: Parameter

COPASI5
is: SBO:0000179
constant: false
value: 0.492753623188406
name: rkid
type: Parameter

metaid_0000070
is version of: REACT 3854.1
constant: false
boundary condition: true
type: Species
has only substance units: false
initial concentration: 4.6163
name: Ren
in compartment: metaid_0000062
initial amount: NaN
is: SBO:0000244

metaid_0000074
initial concentration: 0.0
initial amount: NaN
constant: false
name: IRPen
type: Species
boundary condition: true
has only substance units: false
is: SBO:0000297
in compartment: metaid_0000062
is version of: REACT 4836.1

metaid_0000064
is: GO:0016088
in compartment: metaid_0000062
type: Species
constant: true
is: SBO:0000252
boundary condition: true
initial concentration: 100.0
has only substance units: false
is: P01308
name: ins
initial amount: NaN

COPASI9
is: SBO:0000009
constant: false
value: 1.57560148430067
name: Cliver
type: Parameter

metaid_0000068
in compartment: metaid_0000062
initial amount: NaN
name: IRp
boundary condition: true
constant: false
is: SBO:0000297
has only substance units: false
initial concentration: 0.0
type: Species
is version of: REACT 3057.1

COPASI17
is: SBO:0000064
constant: false
value: -1.11022302462516E-16
name: ReceptorIns2EN
type: Parameter

metaid_0000021
is: SBO:0000180
constant: true
value: 0.04
name: kins2d
type: Parameter

metaid_0000055
is: GO:0016310
is: SBO:0000216
constant: false
value: 3.20632409511745E-17
name: i7
type: Parameter

metaid_0000051
is version of: GO:0016310
is: SBO:0000216
constant: false
value: 0.0
name: i3
type: Parameter

metaid_0000025
is: SBO:0000330
constant: true
value: 0.00722
name: kyden
type: Parameter

metaid_0000039
is: SBO:0000468
constant: false
value: 0.0021216
name: vd
type: Parameter

COPASI13
is: SBO:0000064
constant: false
value: -1.11022302462516E-16
name: ReceptorIns2
type: Parameter

metaid_0000041
is: SBO:0000009
constant: false
value: 3.32608695652174E-5
name: Kkidney
type: Parameter

metaid_0000035
is: SBO:0000504
constant: false
value: 10.0
name: mliver
type: Parameter

metaid_0000029
is version of: GO:0038020
is: SBO:0000009
constant: true
value: 0.001533
name: reck1
type: Parameter

metaid_0000063
is: GO:0005899
boundary condition: true
type: Species
has only substance units: false
name: R
initial concentration: 35.3837
in compartment: metaid_0000062
is: SBO:0000244
is: P06213
initial amount: NaN
constant: false

COPASI4
is: SBO:0000179
constant: false
value: 3.89037403531029
name: rliv
type: Parameter

metaid_0000046
is version of: GO:0005102
is: SBO:0000009
constant: false
value: 0.0
name: r5
type: Parameter

metaid_0000019
is version of: GO:0043559
is: SBO:0000009
constant: true
value: 0.001
name: kins
type: Parameter

metaid_0000056
is version of: GO:0006897
is: SBO:0000009
constant: false
value: -4.78999999985533E-8
name: f1
type: Parameter

metaid_0000073
is: SBO:0000297
is version of: REACT 3809.1
in compartment: metaid_0000062
initial amount: NaN
constant: false
type: Species
boundary condition: true
name: RPen
has only substance units: false
initial concentration: 0.0

metaid_0000067
boundary condition: true
name: Rp
has only substance units: false
is version of: REACT 4536.1
is: SBO:0000244
type: Species
in compartment: metaid_0000062
initial amount: NaN
initial concentration: 0.0
constant: false

metaid_0000036
is: SBO:0000468
constant: false
value: 0.00675
name: vp
type: Parameter

metaid_0000072
is: SBO:0000297
constant: false
boundary condition: true
has only substance units: false
initial concentration: 0.0
initial amount: NaN
in compartment: metaid_0000062
name: I2Ren
type: Species

BIOMD0000000345
rule: metaid_0000097
parameter: metaid_0000040
rule: metaid_0000104
parameter: metaid_0000043
parameter: metaid_0000044
parameter: metaid_0000047
parameter: metaid_0000026
parameter: COPASI13
species: metaid_0000068
parameter: COPASI16
occurs in: http://identifiers.org/taxonomy/9606
rule: metaid_0000076
rule: metaid_0000077
rule: metaid_0000114
species: metaid_0000065
rule: metaid_0000109
is version of: GO:0038016
notes: This model is from the article: Mathematical modeling and analysis of insulin clearance in vivo. Koschorreck M, Gilles ED. BMC Syst Biol. 2008 May 13;2:43. 18477391 , Abstract: BACKGROUND: Analyzing the dynamics of insulin concentration in the blood is necessary for a comprehensive understanding of the effects of insulin in vivo. Insulin removal from the blood has been addressed in many studies. The results are highly variable with respect to insulin clearance and the relative contributions of hepatic and renal insulin degradation. RESULTS: We present a dynamic mathematical model of insulin concentration in the blood and of insulin receptor activation in hepatocytes. The model describes renal and hepatic insulin degradation, pancreatic insulin secretion and nonspecific insulin binding in the liver. Hepatic insulin receptor activation by insulin binding, receptor internalization and autophosphorylation is explicitly included in the model. We present a detailed mathematical analysis of insulin degradation and insulin clearance. Stationary model analysis shows that degradation rates, relative contributions of the different tissues to total insulin degradation and insulin clearance highly depend on the insulin concentration. CONCLUSION: This study provides a detailed dynamic model of insulin concentration in the blood and of insulin receptor activation in hepatocytes. Experimental data sets from literature are used for the model validation. We show that essential dynamic and stationary characteristics of insulin degradation are nonlinear and depend on the actual insulin concentration. 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. For more information see the terms of use . To cite BioModels Database, please use: Li C, Donizelli M, Rodriguez N, Dharuri H, Endler L, Chelliah V, Li L, He E, Henry A, Stefan MI, Snoep JL, Hucka M, Le Novère N, La…
area units: area
species: metaid_0000066
volume units: volume
rule: metaid_0000093
rule: metaid_0000086
parameter: COPASI11
rule: metaid_0000123
rule: metaid_0000108
parameter: COPASI3
parameter: metaid_0000051
parameter: COPASI6
parameter: metaid_0000029
species: metaid_0000071
parameter: metaid_0000030
parameter: metaid_0000021
parameter: metaid_0000034
occurs in: BTO:0000575
parameter: metaid_0000037
rule: metaid_0000092
rule: metaid_0000085
parameter: metaid_0000061
rule: metaid_0000122
rule: metaid_0000118
rule: metaid_0000117
parameter: metaid_0000041
rule: metaid_0000103
parameter: metaid_0000019
parameter: metaid_0000054
parameter: COPASI9
parameter: metaid_0000045
rule: metaid_0000113
parameter: metaid_0000058
parameter: metaid_0000024
species: metaid_0000074
parameter: metaid_0000027
parameter: COPASI14
species: COPASI2
parameter: metaid_0000048
rule: metaid_0000081
species: metaid_0000064
is version of: GO:0005009
parameter: COPASI17
is: MODEL1108040000
rule: metaid_0000082
rule: metaid_0000089
length unit: length
rule: metaid_0000075
parameter: COPASI12
rule: metaid_0000126
type: SBMLModel
rule: metaid_0000111
parameter: COPASI4
rule: metaid_0000112
rule: metaid_0000107
parameter: metaid_0000031
parameter: metaid_0000032
name: Koschorreck2008_InsulinClearance
parameter: metaid_0000035
rule: metaid_0000091
rule: metaid_0000098
rule: metaid_0000084
rule: metaid_0000099

metaid_0000026
is: SBO:0000216
constant: true
value: 0.0231
name: kyp
type: Parameter

metaid_0000052
is version of: GO:0016310
is: SBO:0000216
constant: false
value: -1.70974345792274E-17
name: i4
type: Parameter

metaid_0000022
is: SBO:0000180
constant: true
value: 0.001925
name: kins1den
type: Parameter

COPASI8
is: SBO:0000009
constant: false
value: 11.242055025091
name: Frackidney
type: Parameter

COPASI16
is: SBO:0000064
constant: false
value: -1.11022302462516E-16
name: ReceptorInsEN
type: Parameter

metaid_0000042
is version of: GO:0005102
is: SBO:0000009
constant: false
value: 3.53837
name: r1
type: Parameter

metaid_0000032
is: SBO:0000180
constant: true
value: 0.2
name: k2ub
type: Parameter

metaid_0000062
constant: true
size: 1.0
spatial dimensions: 3.0
name: compartment1
type: Compartment

metaid_0000028
is version of: GO:0038016
is: SBO:0000009
constant: true
value: 2.0E-4
name: intk2
type: Parameter

COPASI10
is: SBO:0000009
constant: false
value: 0.199565217391304
name: Ckidney
type: Parameter

COPASI3
is: SBO:0000002
constant: true
value: 200.0
name: bw
type: Parameter

metaid_0000047
is version of: GO:0005102
is: SBO:0000009
constant: false
value: 0.0
name: r6
type: Parameter

metaid_0000057
is: GO:0006897
is: SBO:0000009
constant: false
value: 0.0
name: f2
type: Parameter

COPASI7
is: SBO:0000009
constant: false
value: 88.757944974909
name: Fracliver
type: Parameter

metaid_0000066
constant: false
has version: REACT 3518.1
boundary condition: true
has only substance units: false
initial concentration: 0.0
is: SBO:0000297
type: Species
in compartment: metaid_0000062
initial amount: NaN
name: I2R

metaid_0000027
is version of: GO:0038016
is: SBO:0000009
constant: true
value: 5.5E-4
name: intk1
type: Parameter

metaid_0000071
initial concentration: 0.0
in compartment: metaid_0000062
is: SBO:0000297
initial amount: NaN
name: IRen
occurs in: REACT 599.1
boundary condition: true
type: Species
constant: false
has only substance units: false

metaid_0000023
is: SBO:0000180
constant: true
value: 0.00385
name: kins2den
type: Parameter

metaid_0000053
is part of: GO:0016310
is: SBO:0000216
constant: false
value: 0.0
name: i5
type: Parameter

metaid_0000043
is version of: GO:0005102
is: SBO:0000009
constant: false
value: 0.0
name: r2
type: Parameter

metaid_0000033
is version of: GO:0030073
is: SBO:0000009
constant: true
value: 0.0016976
name: pansec
type: Parameter

COPASI15
is: SBO:0000064
constant: false
value: 0.0
name: ReceptorIns2PM
type: Parameter

metaid_0000037
is: SBO:0000226
constant: true
value: 1051.0
name: rholiver
type: Parameter

metaid_0000061
is version of: GO:0006897
is: SBO:0000009
constant: false
value: 0.0
name: f6
type: Parameter

W3 CDTF: Fri Aug 05 10:33:47 BST 2011

orgname: EMBL-EBI

given: Ishan
family: Ajmera

W3 CDTF: Fri Mar 09 16:16:46 GMT 2012