368841
constant: false
units: 589291
value: 0.0
name: MT1t
type: Parameter

589441
exponent: 1.0
scale: 0
multipler: 1.0
kind: LITRE
type: SBMLUnit

589428
exponent: -1.0
scale: 0
multipler: 1.0
kind: MOLE
type: SBMLUnit

368888
constant: true
units: 589402
value: 2600.0
name: kon_M2C1
type: Parameter

589363
exponent: -1.0
scale: 0
multipler: 1.0
kind: SECOND
type: SBMLUnit

368831
constant: false
units: 589327
value: NaN
name: v10
type: Parameter

368822
constant: false
units: 589327
value: NaN
name: v7
type: Parameter

368912
constant: true
units: 589375
value: 0.00197
name: kcat_MT1C1
type: Parameter

368915
constant: true
units: 589402
value: 2800.0
name: kshed_MT1
type: Parameter

368909
constant: true
units: 589375
value: 9.0E-4
name: koff_MT1T2M2pMT1
type: Parameter

368921
constant: true
units: 589375
value: 20.2
name: koff_MT1T2
type: Parameter

368879
constant: true
units: 589375
value: 6.3
name: koff_M2T2
type: Parameter

589339
exponent: 1.0
scale: 0
multipler: 1.0
kind: MOLE
type: SBMLUnit

368813
constant: false
units: 589327
value: NaN
name: v4
type: Parameter

368885
constant: true
units: 589375
value: 2.0E-8
name: k_iso_M2T2
type: Parameter

368844
constant: false
units: 589291
value: 4.0E-9
name: T2
type: Parameter

368838
constant: false
units: 589291
value: 0.0
name: MT1cat
type: Parameter

368816
constant: false
units: 589327
value: NaN
name: v5
type: Parameter

368906
constant: true
units: 589402
value: 3000.0
name: kon_MT1T2M2pMT1
type: Parameter

589415
exponent: -1.0
scale: 0
multipler: 1.0
kind: SECOND
type: SBMLUnit

368850
constant: false
units: 589291
value: 5.0E-8
name: M2p
type: Parameter

589315
exponent: -1.0
scale: 0
multipler: 1.0
kind: LITRE
type: SBMLUnit

368882
constant: true
units: 589375
value: 33.0
name: kiso_M2T2
type: Parameter

368854
constant: false
units: 589291
value: 0.0
name: MT1_T2_M2p_MT1
type: Parameter

368860
constant: false
units: 589291
value: 3.0E-11
name: M2
type: Parameter

368834
constant: false
units: 589327
value: NaN
name: v12
type: Parameter

589351
exponent: -1.0
scale: 0
multipler: 1.0
kind: LITRE
type: SBMLUnit

368900
constant: true
units: 589402
value: 140000.0
name: kon_MT1T2M2p
type: Parameter

368870
constant: false
units: 589291
value: 1.76E-4
name: C1
type: Parameter

589303
exponent: 1.0
scale: 0
multipler: 1.0
kind: MOLE
type: SBMLUnit

589291
unit: 589315
unit: 589303
name: molar
type: SBMLUnitsDef

368857
constant: false
units: 589291
value: 0.0
name: MT1_T2_star
type: Parameter

368819
constant: false
units: 589327
value: NaN
name: v6
type: Parameter

368810
constant: false
units: 589327
value: NaN
name: v3
type: Parameter

368876
constant: true
units: 589402
value: 5900000.0
name: kon_M2T2
type: Parameter

368837
constant: false
units: 589291
value: 1.0E-8
name: MT1
type: Parameter

368847
constant: false
units: 589291
value: 0.0
name: MT1_T2
type: Parameter

368809
constant: false
units: 589327
value: NaN
name: v2
type: Parameter

368891
constant: true
units: 589375
value: 0.0021
name: koff_M2C1
type: Parameter

368903
constant: true
units: 589375
value: 0.0047
name: koff_MT1T2M2p
type: Parameter

368863
constant: false
units: 589291
value: 0.0
name: M2_T2
type: Parameter

589389
exponent: -1.0
scale: 0
multipler: 1.0
kind: SECOND
type: SBMLUnit

368853
constant: false
units: 589291
value: 0.0
name: MT1_T2_M2p
type: Parameter

368867
constant: false
units: 589291
value: 0.0
name: M2_C1
type: Parameter

589402
unit: 589441
unit: 589428
unit: 589415
name: second_order_rate_constant
type: SBMLUnitsDef

368918
constant: true
units: 589402
value: 3540000.0
name: kon_MT1T2
type: Parameter

368825
constant: false
units: 589327
value: NaN
name: v8
type: Parameter

368873
constant: false
units: 589291
value: 0.0
name: C1D
type: Parameter

368927
constant: true
units: 589291
value: 8.5E-6
name: km_MT1C1
type: Parameter

589375
unit: 589389
name: first_order_rate_constant
type: SBMLUnitsDef

368737
constant: true
units: litre
size: 1.0
spatial dimensions: 3.0
type: Compartment

368894
constant: true
units: 589375
value: 0.0045
name: kcat_M2C1
type: Parameter

589327
unit: 589363
unit: 589351
unit: 589339
name: flux
type: SBMLUnitsDef

368924
constant: true
units: 589291
value: 8.5E-6
name: km_M2C1
type: Parameter

368897
constant: true
units: 589375
value: 0.02
name: kact_M2
type: Parameter

368828
constant: false
units: 589327
value: NaN
name: v9
type: Parameter

368866
constant: false
units: 589291
value: 0.0
name: M2_T2_star
type: Parameter

MODEL0911270007
notes: This a model from the article: A theoretical model of type I collagen proteolysis by matrix metalloproteinase (MMP) 2 and membrane type 1 MMP in the presence of tissue inhibitor of metalloproteinase 2. Karagiannis ED, Popel AS. J Biol Chem 2004 Sep 10;279(37):39105-14 15252025 , Abstract: One well documented family of enzymes responsible for the proteolytic processes that occur in the extracellular matrix is the soluble and membrane-associated matrix metalloproteinases. Here we present the first theoretical model of the biochemical network describing the proteolysis of collagen I by matrix metalloproteinases 2 (MMP2) and membrane type 1 matrix metalloproteinases (MT1-MMP) in the presence of the tissue inhibitor of metalloproteinases 2 (TIMP2) in a bulk, cell-free, well stirred environment. The model can serve as a tool for describing quantitatively the activation of the MMP2 proenzyme (pro-MMP2), the ectodomain shedding of MT1-MMP, and the collagenolysis arising from both of the enzymes. We show that pro-MMP2 activation, a process that involves a trimer formation of the proenzyme with TIMP2 and MT1-MMP, is suppressed at high inhibitor levels and paradoxically attains maximum only at intermediate TIMP2 concentrations. We also calculate the conditions for which pro-MMP2 activation is maximal. Furthermore we demonstrate that the ectodomain shedding of MT1-MMP can serve as a mechanism controlling the MT1-MMP availability and therefore the pro-MMP2 activation. Finally the proteolytic synergism of MMP2 and MT1-MMP is introduced and described quantitatively. The model provides us a tool to determine the conditions under which the synergism is optimized. Our approach is the first step toward a more complete description of the proteolytic processes that occur in the extracellular matrix and include a wider spectrum of enzymes and substrates as well as naturally occurring or artificial inhibitors. This model was taken from the CellML repository and automatically converted to …
length unit: 027038
units def: 589402
units def: 589291
rule: 368758
parameter: 368847
parameter: 368863
rule: 368755
rule: 368761
compartment: 368737
parameter: 368834
parameter: 368921
type: SBMLModel
parameter: 368850
parameter: 368828
rule: 368791
rule: 368752
volume units: volume
name: Karagiannis2004_CollagenIproteolysis
parameter: 368906
parameter: 368809
parameter: 368867
parameter: 368879
rule: 368767
rule: 368773
rule: 368779
parameter: 368831
rule: 368785
parameter: 368891
time units: 577459
units def: 589375
parameter: 368885
curated: false
parameter: 368873
rule: 368744
rule: 368764
substance units: 573275
rule: 368770
rule: 368807
rule: 368803
parameter: 368810
rule: 368741
rule: 368776
parameter: 368822
rule: 368782
rule: 368804
rule: 368800
rule: 368797
parameter: 368924
area units: area
parameter: 368900
parameter: 368838
parameter: 368841
parameter: 368854
rule: 368748
parameter: 368866
parameter: 368897
parameter: 368857
rule: 368788
rule: 368794
rule: 368745
parameter: 368844
units def: 589327
parameter: 368860
parameter: 368918
is described by: http://identifiers.org/pubmed/15252025
parameter: 368894
parameter: 368912
parameter: 368837
parameter: 368819
parameter: 368825
parameter: 368870
parameter: 368882
parameter: 368853
parameter: 368876
parameter: 368915
parameter: 368813
parameter: 368909
parameter: 368927
parameter: 368888