Model Mathematics

Component based math viewer is available

Component: environment

Component: NatP

\frac{d}{d time} (NatP) = v1 + v3 - v2

Component: MisP

\frac{d}{d time} (MisP) = v2 + v5 + v23 - (v3 + v4 + 2 v39 + v40 + v49 + v50 + v51 + v52 + v53 + v54 + v55 + v56)

Component: Ub

\frac{d}{d time} (Ub) = v16 + v17 + v18 + v19 + v20 + v21 + v22 + v23 + v29 + v30 + v31 + v32 + v33 + 4 v34 + 5 v35 + 6 v36 + 7 v37 + 8 v38 - v6

Component: E1

\frac{d}{d time} (E1) = v7 - v6

Component: E2

\frac{d}{d time} (E2) = v8 + v9 + v10 + v11 + v12 + v13 + v14 + v15 - v7

Component: E3

\frac{d}{d time} (E3) = v5 + v8 - v4

Component: DUB

\frac{d}{d time} (DUB) = v16 + v17 + v18 + v19 + v20 + v21 + v22 + v23 + v29 + v30 + v31 + v32 + v33 - (v16 + v17 + v18 + v19 + v20 + v21 + v22 + v23 + v29 + v30 + v31 + v32 + v33)

Component: Proteasome

\frac{d}{d time} (Proteasome) = v29 + v34 + v35 + v36 + v37 + v38 - (v24 + v25 + v26 + v27 + v28 + v94)

Component: ROS

\frac{d}{d time} (ROS) = v2 - v2

Component: E1_Ub

\frac{d}{d time} (E1_Ub) = v6 - v7

Component: E2_Ub

\frac{d}{d time} (E2_Ub) = v7 - v8 - v9 - v10 - v11 - v12 - v13 - v14 - v15

Component: E3_MisP

\frac{d}{d time} (E3_MisP) = v4 - v5 - v8

Component: MisP_Ub

\frac{d}{d time} (MisP_Ub) = v8 + v22 - (v9 + v23 + 2 v41 + v49 + v57 + v65 + v66 + v67 + v68 + v69 + v70 + v71)

Component: MisP_Ub2

\frac{d}{d time} (MisP_Ub2) = v9 + v21 - (v10 + v22 + 2 v42 + v50 + v58 + v65 + v72 + v73 + v74 + v75 + v76 + v77)

Component: MisP_Ub3

\frac{d}{d time} (MisP_Ub3) = v10 + v20 + v29 - (v11 + v21 + 2 v43 + v51 + v59 + v66 + v72 + v78 + v79 + v80 + v81 + v82)

Component: MisP_Ub4

\frac{d}{d time} (MisP_Ub4) = v11 + v19 - (v12 + v20 + v24 + 2 v44 + v52 + v60 + v67 + v73 + v78 + v83 + v84 + v85 + v86)

Component: MisP_Ub5

\frac{d}{d time} (MisP_Ub5) = v12 + v18 - (v13 + v19 + v25 + 2 v45 + v53 + v61 + v68 + v74 + v79 + v83 + v87 + v88 + v89)

Component: MisP_Ub6

\frac{d}{d time} (MisP_Ub6) = v13 + v17 - (v14 + v18 + v26 + 2 v46 + v54 + v62 + v69 + v75 + v80 + v84 + v87 + v90 + v91)

Component: MisP_Ub7

\frac{d}{d time} (MisP_Ub7) = v14 + v16 - (v15 + v17 + v27 + 2 v47 + v55 + v63 + v70 + v76 + v81 + v85 + v88 + v90 + v92)

Component: MisP_Ub8

\frac{d}{d time} (MisP_Ub8) = v15 - (v16 + v28 + 2 v48 + v56 + v64 + v71 + v77 + v82 + v86 + v89 + v91 + v92)

Component: MisP_Ub4_Proteasome

\frac{d}{d time} (MisP_Ub4_Proteasome) = v24 + v30 - (v29 + v34)

Component: MisP_Ub5_Proteasome

\frac{d}{d time} (MisP_Ub5_Proteasome) = v25 + v31 - (v30 + v35)

Component: MisP_Ub6_Proteasome

\frac{d}{d time} (MisP_Ub6_Proteasome) = v26 + v32 - (v31 + v36)

Component: MisP_Ub7_Proteasome

\frac{d}{d time} (MisP_Ub7_Proteasome) = v27 + v33 - (v32 + v37)

Component: MisP_Ub8_Proteasome

\frac{d}{d time} (MisP_Ub8_Proteasome) = v28 - (v33 + v38)

Component: ATP

\frac{d}{d time} (ATP) = 0

Component: ADP

\frac{d}{d time} (ADP) = 0

Component: AMP

\frac{d}{d time} (AMP) = 0

Component: degUb4

\frac{d}{d time} (degUb4) = v34

Component: degUb5

\frac{d}{d time} (degUb5) = v35

Component: degUb6

\frac{d}{d time} (degUb6) = v36

Component: degUb7

\frac{d}{d time} (degUb7) = v37

Component: degUb8

\frac{d}{d time} (degUb8) = v38

Component: MisP_total

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

Component: NatP_refolded

\frac{d}{d time} (NatP_refolded) = v3

Component: AggP

\frac{d}{d time} (AggP) = v39 + 2 v40 + v41 + v42 + v43 + v44 + v45 + v46 + v47 + v48 + v49 + v50 + v51 + v52 + v53 + v54 + v55 + v56 + 2 v57 + 2 v58 + 2 v59 + 2 v60 + 2 v61 + 2 v62 + 2 v63 + 2 v64 + v65 + v66 + v67 + v68 + v69 + v70 + v71 + v72 + v73 + v74 + v75 + v76 + v77 + v78 + v79 + v80 + v81 + v82 + v83 + v84 + v85 + v86 + v87 + v88 + v89 + v90 + v91 + v92 - (v40 + v57 + v58 + v59 + v60 + v61 + v62 + v63 + v64 + v93 + v94)

Component: SeqAggP

\frac{d}{d time} (SeqAggP) = v93

Component: AggP_Proteasome

\frac{d}{d time} (AggP_Proteasome) = v94

Component: v1

v1 = k1

Component: v2

v2 = k2 NatP ROS

Component: v3

v3 = k3 MisP

Component: v4

v4 = k61 E3 MisP

Component: v5

v5 = k61r E3_MisP

Component: v6

v6 = \frac{k62 E1 Ub ATP}{5000 + ATP}

Component: v7

v7 = k63 E2 E1_Ub

Component: v8

v8 = k64 E2_Ub E3_MisP

Component: v9

v9 = k65 E2_Ub MisP_Ub

Component: v10

v10 = k65 E2_Ub MisP_Ub2

Component: v11

v11 = k65 E2_Ub MisP_Ub3

Component: v12

v12 = k65 E2_Ub MisP_Ub4

Component: v13

v13 = k65 E2_Ub MisP_Ub5

Component: v14

v14 = k65 E2_Ub MisP_Ub6

Component: v15

v15 = k65 E2_Ub MisP_Ub7

Component: v16

v16 = k66 DUB MisP_Ub8

Component: v17

v17 = k66 DUB MisP_Ub7

Component: v18

v18 = k66 DUB MisP_Ub6

Component: v19

v19 = k66 DUB MisP_Ub5

Component: v20

v20 = k66 DUB MisP_Ub4

Component: v21

v21 = k66 DUB MisP_Ub3

Component: v22

v22 = k66 DUB MisP_Ub2

Component: v23

v23 = k66 DUB MisP_Ub

Component: v24

v24 = k67 MisP_Ub4 Proteasome

Component: v25

v25 = k67 MisP_Ub5 Proteasome

Component: v26

v26 = k67 MisP_Ub6 Proteasome

Component: v27

v27 = k67 MisP_Ub7 Proteasome

Component: v28

v28 = k67 MisP_Ub8 Proteasome

Component: v29

v29 = k68 DUB MisP_Ub4_Proteasome

Component: v30

v30 = k68 DUB MisP_Ub5_Proteasome

Component: v31

v31 = k68 DUB MisP_Ub6_Proteasome

Component: v32

v32 = k68 DUB MisP_Ub7_Proteasome

Component: v33

v33 = k68 DUB MisP_Ub8_Proteasome

Component: v34

v34 = \frac{k69 MisP_Ub4_Proteasome ATP}{5000 + ATP}

Component: v35

v35 = \frac{k69 MisP_Ub5_Proteasome ATP}{5000 + ATP}

Component: v36

v36 = \frac{k69 MisP_Ub6_Proteasome ATP}{5000 + ATP}

Component: v37

v37 = \frac{k69 MisP_Ub7_Proteasome ATP}{5000 + ATP}

Component: v38

v38 = \frac{k69 MisP_Ub8_Proteasome ATP}{5000 + ATP}

Component: v39

v39 = \frac{k71 MisP (MisP - 1)}{2}

Component: v40

v40 = k71 MisP AggP

Component: v41

v41 = \frac{k72 MisP_Ub (MisP_Ub - 1)}{2}

Component: v42

v42 = \frac{k72 MisP_Ub2 (MisP_Ub2 - 1)}{2}

Component: v43

v43 = \frac{k72 MisP_Ub3 (MisP_Ub3 - 1)}{2}

Component: v44

v44 = \frac{k72 MisP_Ub4 (MisP_Ub4 - 1)}{2}

Component: v45

v45 = \frac{k72 MisP_Ub5 (MisP_Ub5 - 1)}{2}

Component: v46

v46 = \frac{k72 MisP_Ub6 (MisP_Ub6 - 1)}{2}

Component: v47

v47 = \frac{k72 MisP_Ub7 (MisP_Ub7 - 1)}{2}

Component: v48

v48 = \frac{k72 MisP_Ub8 (MisP_Ub8 - 1)}{2}

Component: v49

v49 = k72 MisP MisP_Ub

Component: v50

v50 = k72 MisP MisP_Ub2

Component: v51

v51 = k72 MisP MisP_Ub3

Component: v52

v52 = k72 MisP MisP_Ub4

Component: v53

v53 = k72 MisP MisP_Ub5

Component: v54

v54 = k72 MisP MisP_Ub6

Component: v55

v55 = k72 MisP MisP_Ub7

Component: v56

v56 = k72 MisP MisP_Ub8

Component: v57

v57 = k72 AggP MisP_Ub

Component: v58

v58 = k72 AggP MisP_Ub2

Component: v59

v59 = k72 AggP MisP_Ub3

Component: v60

v60 = k72 AggP MisP_Ub4

Component: v61

v61 = k72 AggP MisP_Ub5

Component: v62

v62 = k72 AggP MisP_Ub6

Component: v63

v63 = k72 AggP MisP_Ub7

Component: v64

v64 = k72 AggP MisP_Ub8

Component: v65

v65 = k72 MisP_Ub MisP_Ub2

Component: v66

v66 = k72 MisP_Ub MisP_Ub3

Component: v67

v67 = k72 MisP_Ub MisP_Ub4

Component: v68

v68 = k72 MisP_Ub MisP_Ub5

Component: v69

v69 = k72 MisP_Ub MisP_Ub6

Component: v70

v70 = k72 MisP_Ub MisP_Ub7

Component: v71

v71 = k72 MisP_Ub MisP_Ub8

Component: v72

v72 = k72 MisP_Ub2 MisP_Ub3

Component: v73

v73 = k72 MisP_Ub2 MisP_Ub4

Component: v74

v74 = k72 MisP_Ub2 MisP_Ub5

Component: v75

v75 = k72 MisP_Ub2 MisP_Ub6

Component: v76

v76 = k72 MisP_Ub2 MisP_Ub7

Component: v77

v77 = k72 MisP_Ub2 MisP_Ub8

Component: v78

v78 = k72 MisP_Ub3 MisP_Ub4

Component: v79

v79 = k72 MisP_Ub3 MisP_Ub5

Component: v80

v80 = k72 MisP_Ub3 MisP_Ub6

Component: v81

v81 = k72 MisP_Ub3 MisP_Ub7

Component: v82

v82 = k72 MisP_Ub3 MisP_Ub8

Component: v83

v83 = k72 MisP_Ub4 MisP_Ub5

Component: v84

v84 = k72 MisP_Ub4 MisP_Ub6

Component: v85

v85 = k72 MisP_Ub4 MisP_Ub7

Component: v86

v86 = k72 MisP_Ub4 MisP_Ub8

Component: v87

v87 = k72 MisP_Ub5 MisP_Ub6

Component: v88

v88 = k72 MisP_Ub5 MisP_Ub7

Component: v89

v89 = k72 MisP_Ub5 MisP_Ub8

Component: v90

v90 = k72 MisP_Ub6 MisP_Ub7

Component: v91

v91 = k72 MisP_Ub6 MisP_Ub8

Component: v92

v92 = k72 MisP_Ub7 MisP_Ub8

Component: v93

v93 = k73 AggP

Component: v94

v94 = k74 AggP Proteasome