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Model Mathematics

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Component: environment

Component: v1

v1 = kon_M3pM9 M3 pM9 - (koff_M3pM9 M3_pM9)

Component: v2

v2 = kact_M3pM9 M3_pM9

Component: v3

v3 = kon_M3T1 M3 T1 - (koff_M3T1 M3_T1)

Component: v4

v4 = kon_pM9T1 pM9 T1 - (koff_pM9T1 pM9_T1)

Component: v5

v5 = kon_M3pM9T1 pM9_T1 M3 - (koff_M3pM9T1 M3_pM9_T1)

Component: v6

v6 = kact_M3pM9T1 M3_pM9_T1

Component: v7

v7 = kon_M9T1_star T1 M9 - (koff_M9T1_star M9_T1_star)

Component: v8

v8 = kon_M9T1 M9_T1_star - (koff_M9T1 M9_T1)

Component: v9

v9 = kon_M9_M3T1 M9_T1_M3 - (koff_M9_M3T1 M9 M3_T1)

Component: v10

v10 = kon_M3_pM9T1 pM9_T1 M3 - (koff_M3_pM9T1 pM9_T1_M3)

Component: v11

v11 = kon_pM9T1M3 pM9 M3_T1 - (koff_pM9T1M3 pM9_T1_M3)

Component: v12

v12 = kon_M3pM9T1M3 M3 pM9_T1_M3 - (koff_M3pM9T1M3 M3_pM9_T1_M3)

Component: v13

v13 = kact_M3pM9T1M3 M3_pM9_T1_M3

Component: v14

v14 = kact_M9T1M3 M9_T1_M3

Component: v15

v15 = kon_TrpM9 Tr pM9 - (koff_TrpM9 Tr_pM9)

Component: v16

v16 = kact_TrpM9 Tr_pM9

Component: v17

v17 = kon_TrpM9T1 pM9_T1 Tr - (koff_TrpM9T1 Tr_pM9_T1)

Component: v18

v18 = kact_TrpM9T1 Tr_pM9_T1

Component: v19

v19 = kon_TrpM9T1M3 Tr pM9_T1_M3 - (koff_TrpM9T1M3 Tr_pM9_T1_M3)

Component: v20

v20 = kact_TrpM9T1M3 Tr_pM9_T1_M3

Component: pM9

\frac{d}{d time} (pM9) = - (v1 + v4 + v15 + v11)

Component: M3

\frac{d}{d time} (M3) = v2 + v6 + v13 + v14 - (v1 + v3 + v5 + v10 + v12)

Component: M3_pM9

\frac{d}{d time} (M3_pM9) = v1 - v2

Component: T1

\frac{d}{d time} (T1) = - (v3 + v4 + v7)

Component: M3_T1

\frac{d}{d time} (M3_T1) = v3 + v9 - v11

Component: pM9_T1

\frac{d}{d time} (pM9_T1) = v4 - (v5 + v10 + v17)

Component: M3_pM9_T1

\frac{d}{d time} (M3_pM9_T1) = v5 - v6

Component: M9_T1_star

\frac{d}{d time} (M9_T1_star) = v7 + v14 - v8

Component: M9

\frac{d}{d time} (M9) = v2 + v9 + v16 - v7

Component: M9_T1

\frac{d}{d time} (M9_T1) = v8 + v18

Component: pM9_T1_M3

\frac{d}{d time} (pM9_T1_M3) = v10 + v11 - (v12 + v19)

Component: M3_pM9_T1_M3

\frac{d}{d time} (M3_pM9_T1_M3) = v12 - v13

Component: M9_T1_M3

\frac{d}{d time} (M9_T1_M3) = v13 + v20 - (v14 + v9)

Component: Tr

\frac{d}{d time} (Tr) = v16 + v18 + v20 - (v15 + v17 + v19)

Component: Tr_pM9

\frac{d}{d time} (Tr_pM9) = v15 - v16

Component: Tr_pM9_T1

\frac{d}{d time} (Tr_pM9_T1) = v17 - v18

Component: Tr_pM9_T1_M3

\frac{d}{d time} (Tr_pM9_T1_M3) = v19 - v20

Component: kinetic_parameters

Source: Derived from workspace Vempati, Karagiannis, Popel, 2007 at changeset 17c90dc4e1b1.

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A Biochemical Model of Matrix Metalloproteinase 9 Activation and Inhibition