You are here: Home / Exposures / Karagiannis, Popel, 2004 / 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

Model Mathematics

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Component: environment

Component: v2

v2 = - (kshed_MT1 MT1 MT1)

Component: v3

v3 = kon_MT1T2 MT1 T2 - (koff_MT1T2 MT1_T2)

Component: v4

v4 = kon_MT1T2M2p M2p MT1_T2 - (koff_MT1T2M2p MT1_T2_M2p)

Component: v5

v5 = kon_MT1T2M2pMT1 MT1 MT1_T2_M2p - (koff_MT1T2M2pMT1 MT1_T2_M2p_MT1)

Component: v6

v6 = - (kact_M2 MT1_T2_M2p_MT1)

Component: v7

v7 = kon_M2T2 M2 T2 - (koff_M2T2 M2_T2)

Component: v8

v8 = kiso_M2T2 M2_T2 - (k_iso_M2T2 M2_T2_star)

Component: v9

v9 = kon_M2C1 M2 C1 - (koff_M2C1 M2_C1)

Component: v10

v10 = \frac{kcat_M2C1 M2 C1}{km_M2C1 + C1}

Component: v12

v12 = \frac{kcat_MT1C1 MT1 C1}{km_MT1C1 + C1}

Component: MT1

\frac{d}{d time} (MT1) = v2 + v6 + v12 - (2.0 v2 + v3 + v5 + v12)

Component: MT1cat

\frac{d}{d time} (MT1cat) = v2

Component: MT1t

\frac{d}{d time} (MT1t) = v2

Component: T2

\frac{d}{d time} (T2) = - (v3 + v7)

Component: MT1_T2

\frac{d}{d time} (MT1_T2) = v3 - v4

Component: M2p

\frac{d}{d time} (M2p) = - v4

Component: MT1_T2_M2p

\frac{d}{d time} (MT1_T2_M2p) = v5 - v4

Component: MT1_T2_M2p_MT1

\frac{d}{d time} (MT1_T2_M2p_MT1) = v5 - v6

Component: MT1_T2_star

\frac{d}{d time} (MT1_T2_star) = - v6

Component: M2

\frac{d}{d time} (M2) = v6 + v10 - (v7 + v9)

Component: M2_T2

\frac{d}{d time} (M2_T2) = v7 - v8

Component: M2_T2_star

\frac{d}{d time} (M2_T2_star) = v8

Component: M2_C1

\frac{d}{d time} (M2_C1) = v9

Component: C1

\frac{d}{d time} (C1) = - (v9 + v10 + v12)

Component: C1D

\frac{d}{d time} (C1D) = v10 + v12

Component: model_parameters

Source: Derived from workspace Karagiannis, Popel, 2004 at changeset f36711faffa5.; This exposure was expired. A more up-to-date exposure is available, or view related resources.

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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