===============================================
New variables:
y0 = DUSP16
y1 = IL1
y2 = IL1R
y3 = IL1Ra
y4 = IL1_IL1R
y5 = IL1_IL1R_IRAK2
y6 = IL1_IL1Ra
y7 = IRAK2
y8 = IRAK2_TRAF6
y9 = IRAK2_TRAF6_PP4
y10 = JAK1
y11 = JAK1_P
y12 = JNK
y13 = JNK_P
y14 = MKP1
y15 = OSM
y16 = OSMR
y17 = OSMR_SOCS3
y18 = OSMRa
y19 = OSM_OSMR
y20 = OSM_OSMRa
y21 = PP4
y22 = PTPRT
y23 = SOCS3
y24 = SOCS3_mRNA
y25 = STAT3_P_cyt
y26 = STAT3_P_nuc
y27 = STAT3_cyt
y28 = STAT3_nuc
y29 = Sink
y30 = Source
y31 = TRAF6
y32 = TRAF6_PP4
y33 = cFos
y34 = cFos_P
y35 = cFos_cJun
y36 = cFos_mRNA
y37 = cJun
y38 = cJun_P
y39 = cJun_dimer
y40 = cJun_mRNA
y41 = p38
y42 = p38_P
y43 = pkAP1activity
y44 = pkbinIL1IL1R
y45 = pkbinIL1IL1Ra
y46 = pkbinIRAK2
y47 = pkbinOSMOSMR
y48 = pkbinOSMOSMRa
y49 = pkbinSOCS3OSMR
y50 = pkbinTRAF6
y51 = pkbincFoscJun
y52 = pkcyt2nucSTAT3
y53 = pkdedimercJun
y54 = pkdegDUSP16
y55 = pkdegIL1
y56 = pkdegMKP1
y57 = pkdegOSM
y58 = pkdegPP4
y59 = pkdegPTPRT
y60 = pkdegSOCS3
y61 = pkdegSOCS3mRNA
y62 = pkdegcFos
y63 = pkdegcFosmRNA
y64 = pkdegcJun
y65 = pkdegcJunmRNA
y66 = pkdephosJAK1
y67 = pkdephosJAK1PTPRT
y68 = pkdephosJNK
y69 = pkdephosJNKDUSP16
y70 = pkdephosSTAT3
y71 = pkdephosSTAT3PTPRT
y72 = pkdephosSTAT3nuc
y73 = pkdephosSTAT3nucPTPRT
y74 = pkdephoscFos
y75 = pkdephoscFosDUSP16
y76 = pkdephoscJun
y77 = pkdephosp38
y78 = pkdephosp38MKP1
y79 = pkdimercJun
y80 = pkinhibTRAF6
y81 = pknuc2cytSTAT3
y82 = pkphosJAK1
y83 = pkphosJNK
y84 = pkphosSTAT3
y85 = pkphoscFos
y86 = pkphoscJun
y87 = pkphosp38
y88 = pkrelIL1IL1R
y89 = pkrelIL1IL1Ra
y90 = pkrelIRAK2
y91 = pkrelOSMOSMR
y92 = pkrelOSMOSMRa
y93 = pkrelSOCS3OSMR
y94 = pkrelTRAF6
y95 = pkrelTRAF6PP4
y96 = pkrelcFoscJun
y97 = pksynDUSP16
y98 = pksynDUSP16cJun
y99 = pksynMKP1
y100 = pksynMKP1cJun
y101 = pksynPP4
y102 = pksynPP4cJun
y103 = pksynPTPRT
y104 = pksynSOCS3
y105 = pksynSOCS3mRNA
y106 = pksynbasalcJunmRNA
y107 = pksyncFos
y108 = pksyncFosmRNA
y109 = pksyncFosmRNAStat3
y110 = pksyncJun
y111 = pksyncJunmRNA
y112 = pksyncJunmRNAcJun
Lumped system:
y0' = y35**2*y43*y97 + y39**2*y98 + -y0**2*y29*y54
y1' = -y1**2*y2**2*y44 + y4**2*y88 + -y1**2*y3**2*y45 + y6**2*y89 + -y1**2*y29*y55
y2' = -y1**2*y2**2*y44 + y4**2*y88
y3' = -y1**2*y3**2*y45 + y6**2*y89
y4' = y1**2*y2**2*y44 + -y4**2*y88 + -y4**2*y7**2*y46 + y5**2*y90 + y5**2*y31**2*y50
y5' = y4**2*y7**2*y46 + -y5**2*y90 + -y5**2*y31**2*y50
y6' = y1**2*y3**2*y45 + -y6**2*y89
y7' = -y4**2*y7**2*y46 + y5**2*y90 + y8**2*y94
y8' = y5**2*y31**2*y50 + -y8**2*y94 + -y8**2*y21**2*y80 + y9**2*y95
y9' = y8**2*y21**2*y80 + -y9**2*y95
y10' = -y10**2*y19**2*y82 + y11**2*y66 + y11**2*y22**2*y67
y11' = y10**2*y19**2*y82 + -y11**2*y66 + -y11**2*y22**2*y67
y12' = -y8**2*y12**2*y83 + y13**2*y68 + y0**2*y13**2*y69
y13' = y8**2*y12**2*y83 + -y13**2*y68 + -y0**2*y13**2*y69
y14' = y35**2*y43*y99 + y39**2*y100 + -y14**2*y29*y56
y15' = -y15**2*y16**2*y47 + y19**2*y91 + -y15**2*y18**2*y48 + y20**2*y92 + -y15**2*y29*y57
y16' = -y15**2*y16**2*y47 + y19**2*y91 + -y16**2*y23**2*y49 + y17**2*y93
y17' = y16**2*y23**2*y49 + -y17**2*y93
y18' = -y15**2*y18**2*y48 + y20**2*y92
y19' = y15**2*y16**2*y47 + -y19**2*y91
y20' = y15**2*y18**2*y48 + -y20**2*y92
y21' = y35**2*y43*y101 + y39**2*y102 + -y21**2*y29*y58 + -y21**2*y31**2*y80 + -y8**2*y21**2*y80 + y32**2*y95 + y9**2*y95
y22' = y26**2*y103 + -y22**2*y29*y59
y23' = y24**2*y104 + -y23**2*y29*y60 + -y16**2*y23**2*y49 + y17**2*y93
y24' = y26**2*y105 + -y24**2*y29*y61
y25' = y11**2*y27**2*y84 + -y25**2*y70 + -y22**2*y25**2*y71 + -y25**2*y52
y26' = -y26**2*y72 + -y22**2*y26**2*y73 + y25**2*y52
y27' = -y11**2*y27**2*y84 + y25**2*y70 + y22**2*y25**2*y71 + y28**2*y81
y28' = y26**2*y72 + y22**2*y26**2*y73 + -y28**2*y81
y29' = 0
y30' = 0
y31' = -y5**2*y31**2*y50 + y8**2*y94 + -y21**2*y31**2*y80 + y32**2*y95
y32' = y21**2*y31**2*y80 + -y32**2*y95
y33' = y36**2*y107 + -y29*y33**2*y62 + -y33**2*y42**2*y85 + y34**2*y74 + y0**2*y34**2*y75
y34' = y33**2*y42**2*y85 + -y34**2*y74 + -y0**2*y34**2*y75 + -y34**2*y38**2*y51 + y35**2*y96
y35' = y34**2*y38**2*y51 + -y35**2*y96
y36' = y35**2*y43*y108 + -y29*y36**2*y63 + y26**2*y109
y37' = -y13**2*y37**2*y86 + y38**2*y76 + y40**2*y110 + -y29*y37**2*y64
y38' = y13**2*y37**2*y86 + -y38**2*y76 + -2*y38**3*y79 + y38*y39 + 2*y39**2*y53 + -y34**2*y38**2*y51 + y35**2*y96
y39' = y38**3*y79 + -1/2*y38*y39 + -y39**2*y53
y40' = y35**2*y43*y111 + y39**2*y112 + y30**2*y106 + -y29*y40**2*y65
y41' = -y8**2*y41**2*y87 + y42**2*y77 + y14**2*y42**2*y78
y42' = y8**2*y41**2*y87 + -y42**2*y77 + -y14**2*y42**2*y78
y43' = 0
y44' = 0
y45' = 0
y46' = 0
y47' = 0
y48' = 0
y49' = 0
y50' = 0
y51' = 0
y52' = 0
y53' = 0
y54' = 0
y55' = 0
y56' = 0
y57' = 0
y58' = 0
y59' = 0
y60' = 0
y61' = 0
y62' = 0
y63' = 0
y64' = 0
y65' = 0
y66' = 0
y67' = 0
y68' = 0
y69' = 0
y70' = 0
y71' = 0
y72' = 0
y73' = 0
y74' = 0
y75' = 0
y76' = 0
y77' = 0
y78' = 0
y79' = 0
y80' = 0
y81' = 0
y82' = 0
y83' = 0
y84' = 0
y85' = 0
y86' = 0
y87' = 0
y88' = 0
y89' = 0
y90' = 0
y91' = 0
y92' = 0
y93' = 0
y94' = 0
y95' = 0
y96' = 0
y97' = 0
y98' = 0
y99' = 0
y100' = 0
y101' = 0
y102' = 0
y103' = 0
y104' = 0
y105' = 0
y106' = 0
y107' = 0
y108' = 0
y109' = 0
y110' = 0
y111' = 0
y112' = 0
The size of the original model is 205
The size of the reduced model is 113
Computation took 0.3224823474884033 seconds
===============================================
New variables:
y0 = DUSP16
y1 = IL1
y2 = IL1R
y3 = IL1Ra
y4 = IL1_IL1R
y5 = IL1_IL1R_IRAK2
y6 = IL1_IL1Ra
y7 = IRAK2
y8 = IRAK2_TRAF6
y9 = IRAK2_TRAF6_PP4
y10 = JAK1
y11 = JAK1_P
y12 = JNK
y13 = JNK_P
y14 = MKP1
y15 = MMP13_mRNA
y16 = MMP1_mRNA
y17 = OSM
y18 = OSMR
y19 = OSMR_SOCS3
y20 = OSMRa
y21 = OSM_OSMR
y22 = OSM_OSMRa
y23 = PP4
y24 = PTPRT
y25 = SOCS3
y26 = SOCS3_mRNA
y27 = SP1
y28 = SP1_TIMP1_DNA
y29 = STAT3_P_cyt
y30 = STAT3_P_nuc
y31 = STAT3_cyt
y32 = STAT3_nuc
y33 = Sink
y34 = Source
y35 = TIMP1_DNA
y36 = TIMP1_mRNA
y37 = TRAF6
y38 = TRAF6_PP4
y39 = cFos
y40 = cFos_P
y41 = cFos_cJun
y42 = cFos_mRNA
y43 = cJun
y44 = cJun_P
y45 = cJun_dimer
y46 = cJun_mRNA
y47 = p38
y48 = p38_P
y49 = pkAP1activity
y50 = pkbinIL1IL1R
y51 = pkbinIL1IL1Ra
y52 = pkbinIRAK2
y53 = pkbinOSMOSMR
y54 = pkbinOSMOSMRa
y55 = pkbinSOCS3OSMR
y56 = pkbinSP1TIMP1DNA
y57 = pkbinTRAF6
y58 = pkbincFoscJun
y59 = pkcyt2nucSTAT3
y60 = pkdedimercJun
y61 = pkdegDUSP16
y62 = pkdegIL1
y63 = pkdegMKP1
y64 = pkdegMMP13mRNA
y65 = pkdegMMP1mRNA
y66 = pkdegOSM
y67 = pkdegPP4
y68 = pkdegPTPRT
y69 = pkdegSOCS3
y70 = pkdegSOCS3mRNA
y71 = pkdegSP1
y72 = pkdegTIMP1mRNA
y73 = pkdegcFos
y74 = pkdegcFosmRNA
y75 = pkdegcJun
y76 = pkdegcJunmRNA
y77 = pkdephosJAK1
y78 = pkdephosJAK1PTPRT
y79 = pkdephosJNK
y80 = pkdephosJNKDUSP16
y81 = pkdephosSTAT3
y82 = pkdephosSTAT3PTPRT
y83 = pkdephosSTAT3nuc
y84 = pkdephosSTAT3nucPTPRT
y85 = pkdephoscFos
y86 = pkdephoscFosDUSP16
y87 = pkdephoscJun
y88 = pkdephosp38
y89 = pkdephosp38MKP1
y90 = pkdimercJun
y91 = pkinhibTRAF6
y92 = pknuc2cytSTAT3
y93 = pkphosJAK1
y94 = pkphosJNK
y95 = pkphosSTAT3
y96 = pkphoscFos
y97 = pkphoscJun
y98 = pkphosp38
y99 = pkrelIL1IL1R
y100 = pkrelIL1IL1Ra
y101 = pkrelIRAK2
y102 = pkrelOSMOSMR
y103 = pkrelOSMOSMRa
y104 = pkrelSOCS3OSMR
y105 = pkrelSP1TIMP1DNA
y106 = pkrelTRAF6
y107 = pkrelTRAF6PP4
y108 = pkrelcFoscJun
y109 = pksynDUSP16
y110 = pksynDUSP16cJun
y111 = pksynMKP1
y112 = pksynMKP1cJun
y113 = pksynMMP13mRNA
y114 = pksynMMP13mRNAcJun
y115 = pksynMMP1mRNA
y116 = pksynMMP1mRNAcJun
y117 = pksynPP4
y118 = pksynPP4cJun
y119 = pksynPTPRT
y120 = pksynSOCS3
y121 = pksynSOCS3mRNA
y122 = pksynSP1
y123 = pksynTIMP1mRNA
y124 = pksynTIMP1mRNAStat3
y125 = pksynbasalTIMP1mRNA
y126 = pksynbasalcJunmRNA
y127 = pksyncFos
y128 = pksyncFosmRNA
y129 = pksyncFosmRNAStat3
y130 = pksyncJun
y131 = pksyncJunmRNA
y132 = pksyncJunmRNAcJun
Lumped system:
y0' = y41**2*y49*y109 + y45**2*y110 + -y0**2*y33*y61
y1' = -y1**2*y2**2*y50 + y4**2*y99 + -y1**2*y3**2*y51 + y6**2*y100 + -y1**2*y33*y62
y2' = -y1**2*y2**2*y50 + y4**2*y99
y3' = -y1**2*y3**2*y51 + y6**2*y100
y4' = y1**2*y2**2*y50 + -y4**2*y99 + -y4**2*y7**2*y52 + y5**2*y101 + y5**2*y37**2*y57
y5' = y4**2*y7**2*y52 + -y5**2*y101 + -y5**2*y37**2*y57
y6' = y1**2*y3**2*y51 + -y6**2*y100
y7' = -y4**2*y7**2*y52 + y5**2*y101 + y8**2*y106
y8' = y5**2*y37**2*y57 + -y8**2*y106 + -y8**2*y23**2*y91 + y9**2*y107
y9' = y8**2*y23**2*y91 + -y9**2*y107
y10' = -y10**2*y21**2*y93 + y11**2*y77 + y11**2*y24**2*y78
y11' = y10**2*y21**2*y93 + -y11**2*y77 + -y11**2*y24**2*y78
y12' = -y8**2*y12**2*y94 + y13**2*y79 + y0**2*y13**2*y80
y13' = y8**2*y12**2*y94 + -y13**2*y79 + -y0**2*y13**2*y80
y14' = y41**2*y49*y111 + y45**2*y112 + -y14**2*y33*y63
y15' = y41**2*y49*y113 + y45**2*y114 + -y15**2*y33*y64
y16' = y41**2*y49*y115 + y45**2*y116 + -y16**2*y33*y65
y17' = -y17**2*y18**2*y53 + y21**2*y102 + -y17**2*y20**2*y54 + y22**2*y103 + -y17**2*y33*y66
y18' = -y17**2*y18**2*y53 + y21**2*y102 + -y18**2*y25**2*y55 + y19**2*y104
y19' = y18**2*y25**2*y55 + -y19**2*y104
y20' = -y17**2*y20**2*y54 + y22**2*y103
y21' = y17**2*y18**2*y53 + -y21**2*y102
y22' = y17**2*y20**2*y54 + -y22**2*y103
y23' = y41**2*y49*y117 + y45**2*y118 + -y23**2*y33*y67 + -y23**2*y37**2*y91 + -y8**2*y23**2*y91 + y38**2*y107 + y9**2*y107
y24' = y30**2*y119 + -y24**2*y33*y68
y25' = y26**2*y120 + -y25**2*y33*y69 + -y18**2*y25**2*y55 + y19**2*y104
y26' = y30**2*y121 + -y26**2*y33*y70
y27' = y41**2*y49*y122 + -y27**2*y33*y71 + -y27**2*y35**2*y56 + y28**2*y105
y28' = y27**2*y35**2*y56 + -y28**2*y105
y29' = y11**2*y31**2*y95 + -y29**2*y81 + -y24**2*y29**2*y82 + -y29**2*y59
y30' = -y30**2*y83 + -y24**2*y30**2*y84 + y29**2*y59
y31' = -y11**2*y31**2*y95 + y29**2*y81 + y24**2*y29**2*y82 + y32**2*y92
y32' = y30**2*y83 + y24**2*y30**2*y84 + -y32**2*y92
y33' = 0
y34' = 0
y35' = -y27**2*y35**2*y56 + y28**2*y105
y36' = -y33*y36**2*y72 + y30**2*y35**2*y124 + y35**2*y125 + y35**2*y41**2*y49*y123
y37' = -y5**2*y37**2*y57 + y8**2*y106 + -y23**2*y37**2*y91 + y38**2*y107
y38' = y23**2*y37**2*y91 + -y38**2*y107
y39' = y42**2*y127 + -y33*y39**2*y73 + -y39**2*y48**2*y96 + y40**2*y85 + y0**2*y40**2*y86
y40' = y39**2*y48**2*y96 + -y40**2*y85 + -y0**2*y40**2*y86 + -y40**2*y44**2*y58 + y41**2*y108
y41' = y40**2*y44**2*y58 + -y41**2*y108
y42' = y41**2*y49*y128 + -y33*y42**2*y74 + y30**2*y129
y43' = -y13**2*y43**2*y97 + y44**2*y87 + y46**2*y130 + -y33*y43**2*y75
y44' = y13**2*y43**2*y97 + -y44**2*y87 + -2*y44**3*y90 + y44*y45 + 2*y45**2*y60 + -y40**2*y44**2*y58 + y41**2*y108
y45' = y44**3*y90 + -1/2*y44*y45 + -y45**2*y60
y46' = y41**2*y49*y131 + y45**2*y132 + y34**2*y126 + -y33*y46**2*y76
y47' = -y8**2*y47**2*y98 + y48**2*y88 + y14**2*y48**2*y89
y48' = y8**2*y47**2*y98 + -y48**2*y88 + -y14**2*y48**2*y89
y49' = 0
y50' = 0
y51' = 0
y52' = 0
y53' = 0
y54' = 0
y55' = 0
y56' = 0
y57' = 0
y58' = 0
y59' = 0
y60' = 0
y61' = 0
y62' = 0
y63' = 0
y64' = 0
y65' = 0
y66' = 0
y67' = 0
y68' = 0
y69' = 0
y70' = 0
y71' = 0
y72' = 0
y73' = 0
y74' = 0
y75' = 0
y76' = 0
y77' = 0
y78' = 0
y79' = 0
y80' = 0
y81' = 0
y82' = 0
y83' = 0
y84' = 0
y85' = 0
y86' = 0
y87' = 0
y88' = 0
y89' = 0
y90' = 0
y91' = 0
y92' = 0
y93' = 0
y94' = 0
y95' = 0
y96' = 0
y97' = 0
y98' = 0
y99' = 0
y100' = 0
y101' = 0
y102' = 0
y103' = 0
y104' = 0
y105' = 0
y106' = 0
y107' = 0
y108' = 0
y109' = 0
y110' = 0
y111' = 0
y112' = 0
y113' = 0
y114' = 0
y115' = 0
y116' = 0
y117' = 0
y118' = 0
y119' = 0
y120' = 0
y121' = 0
y122' = 0
y123' = 0
y124' = 0
y125' = 0
y126' = 0
y127' = 0
y128' = 0
y129' = 0
y130' = 0
y131' = 0
y132' = 0
The size of the original model is 205
The size of the reduced model is 133
Computation took 0.4224841594696045 seconds
===============================================
New variables:
y0 = ADAMTS4
y1 = ADAMTS4_TIMP1
y2 = ADAMTS4_TIMP3
y3 = ADAMTS4_mRNA
y4 = Aggrecan_Collagen2
y5 = ColFrag
y6 = Collagen2
y7 = DUSP16
y8 = IL1
y9 = IL1R
y10 = IL1Ra
y11 = IL1_IL1R
y12 = IL1_IL1R_IRAK2
y13 = IL1_IL1Ra
y14 = IRAK2
y15 = IRAK2_TRAF6
y16 = IRAK2_TRAF6_PP4
y17 = JAK1
y18 = JAK1_P
y19 = JNK
y20 = JNK_P
y21 = MKP1
y22 = MMP1
y23 = MMP13
y24 = MMP13_TIMP1
y25 = MMP13_TIMP3
y26 = MMP13_mRNA
y27 = MMP1_TIMP1
y28 = MMP1_TIMP3
y29 = MMP1_mRNA
y30 = MMP3
y31 = MMP3_TIMP1
y32 = MMP3_TIMP3
y33 = MMP3_mRNA
y34 = Matriptase
y35 = OSM
y36 = OSMR
y37 = OSMR_SOCS3
y38 = OSMRa
y39 = OSM_OSMR
y40 = OSM_OSMRa
y41 = PP4
y42 = PTPRT
y43 = SOCS3
y44 = SOCS3_mRNA
y45 = SP1
y46 = SP1_TIMP1_DNA
y47 = STAT3_P_cyt
y48 = STAT3_P_nuc
y49 = STAT3_cyt
y50 = STAT3_nuc
y51 = Sink
y52 = Source
y53 = TIMP1
y54 = TIMP1_DNA
y55 = TIMP1_mRNA
y56 = TIMP3
y57 = TIMP3_mRNA
y58 = TRAF6
y59 = TRAF6_PP4
y60 = cFos
y61 = cFos_P
y62 = cFos_cJun
y63 = cFos_mRNA
y64 = cJun
y65 = cJun_P
y66 = cJun_dimer
y67 = cJun_mRNA
y68 = p38
y69 = p38_P
y70 = pkAP1activity
y71 = pkactMMP13mmp3
y72 = pkactMMP1mat
y73 = pkactMMP1mmp3
y74 = pkactMMP3mat
y75 = pkbinIL1IL1R
y76 = pkbinIL1IL1Ra
y77 = pkbinIRAK2
y78 = pkbinOSMOSMR
y79 = pkbinOSMOSMRa
y80 = pkbinSOCS3OSMR
y81 = pkbinSP1TIMP1DNA
y82 = pkbinTRAF6
y83 = pkbincFoscJun
y84 = pkcyt2nucSTAT3
y85 = pkdedimercJun
y86 = pkdegADAMTS4
y87 = pkdegADAMTS4mRNA
y88 = pkdegAggrecan
y89 = pkdegCollagen2mmp1
y90 = pkdegCollagen2mmp13
y91 = pkdegDUSP16
y92 = pkdegIL1
y93 = pkdegMKP1
y94 = pkdegMMP1
y95 = pkdegMMP13
y96 = pkdegMMP13mRNA
y97 = pkdegMMP1mRNA
y98 = pkdegMMP3
y99 = pkdegMMP3mRNA
y100 = pkdegMatriptase
y101 = pkdegOSM
y102 = pkdegPP4
y103 = pkdegPTPRT
y104 = pkdegSOCS3
y105 = pkdegSOCS3mRNA
y106 = pkdegSP1
y107 = pkdegTIMP1
y108 = pkdegTIMP1mRNA
y109 = pkdegTIMP3
y110 = pkdegTIMP3mRNA
y111 = pkdegcFos
y112 = pkdegcFosmRNA
y113 = pkdegcJun
y114 = pkdegcJunmRNA
y115 = pkdephosJAK1
y116 = pkdephosJAK1PTPRT
y117 = pkdephosJNK
y118 = pkdephosJNKDUSP16
y119 = pkdephosSTAT3
y120 = pkdephosSTAT3PTPRT
y121 = pkdephosSTAT3nuc
y122 = pkdephosSTAT3nucPTPRT
y123 = pkdephoscFos
y124 = pkdephoscFosDUSP16
y125 = pkdephoscJun
y126 = pkdephosp38
y127 = pkdephosp38MKP1
y128 = pkdimercJun
y129 = pkinhibADAMTS4TIMP1
y130 = pkinhibADAMTS4TIMP3
y131 = pkinhibMMP13TIMP1
y132 = pkinhibMMP13TIMP3
y133 = pkinhibMMP1TIMP1
y134 = pkinhibMMP1TIMP3
y135 = pkinhibMMP3TIMP1
y136 = pkinhibMMP3TIMP3
y137 = pkinhibTRAF6
y138 = pknuc2cytSTAT3
y139 = pkphosJAK1
y140 = pkphosJNK
y141 = pkphosSTAT3
y142 = pkphoscFos
y143 = pkphoscJun
y144 = pkphosp38
y145 = pkrelADAMTS4TIMP1
y146 = pkrelADAMTS4TIMP3
y147 = pkrelIL1IL1R
y148 = pkrelIL1IL1Ra
y149 = pkrelIRAK2
y150 = pkrelMMP1
y151 = pkrelMMP13
y152 = pkrelMMP13TIMP3
y153 = pkrelMMP1TIMP3
y154 = pkrelMMP3
y155 = pkrelMMP3TIMP3
y156 = pkrelOSMOSMR
y157 = pkrelOSMOSMRa
y158 = pkrelSOCS3OSMR
y159 = pkrelSP1TIMP1DNA
y160 = pkrelTRAF6
y161 = pkrelTRAF6PP4
y162 = pkrelcFoscJun
y163 = pksynADAMTS4
y164 = pksynADAMTS4mRNA
y165 = pksynADAMTS4mRNAcJun
y166 = pksynDUSP16
y167 = pksynDUSP16cJun
y168 = pksynMKP1
y169 = pksynMKP1cJun
y170 = pksynMMP1
y171 = pksynMMP13
y172 = pksynMMP13mRNA
y173 = pksynMMP13mRNAcJun
y174 = pksynMMP1mRNA
y175 = pksynMMP1mRNAcJun
y176 = pksynMMP3
y177 = pksynMMP3mRNA
y178 = pksynMMP3mRNAcJun
y179 = pksynMatriptase
y180 = pksynPP4
y181 = pksynPP4cJun
y182 = pksynPTPRT
y183 = pksynSOCS3
y184 = pksynSOCS3mRNA
y185 = pksynSP1
y186 = pksynTIMP1
y187 = pksynTIMP1mRNA
y188 = pksynTIMP1mRNAStat3
y189 = pksynTIMP3
y190 = pksynTIMP3mRNA
y191 = pksynTIMP3mRNAStat3
y192 = pksynbasalTIMP1mRNA
y193 = pksynbasalTIMP3mRNA
y194 = pksynbasalcJunmRNA
y195 = pksyncFos
y196 = pksyncFosmRNA
y197 = pksyncFosmRNAStat3
y198 = pksyncJun
y199 = pksyncJunmRNA
y200 = pksyncJunmRNAcJun
y201 = proMMP1
y202 = proMMP13
y203 = proMMP3
Lumped system:
y0' = y3**2*y163 + -y0**2*y51*y86 + -y0**2*y53**2*y129 + y1**2*y145 + -y0**2*y56**2*y130 + y2**2*y146
y1' = y0**2*y53**2*y129 + -y1**2*y145
y2' = y0**2*y56**2*y130 + -y2**2*y146
y3' = y62**2*y70*y164 + y66**2*y165 + -y3**2*y51*y87
y4' = -y0**2*y4**2*y88
y5' = y6**2*y22**2*y89 + y6**2*y23**2*y90
y6' = -y6**2*y22**2*y89 + -y6**2*y23**2*y90 + y0**2*y4**2*y88
y7' = y62**2*y70*y166 + y66**2*y167 + -y7**2*y51*y91
y8' = -y8**2*y9**2*y75 + y11**2*y147 + -y8**2*y10**2*y76 + y13**2*y148 + -y8**2*y51*y92
y9' = -y8**2*y9**2*y75 + y11**2*y147
y10' = -y8**2*y10**2*y76 + y13**2*y148
y11' = y8**2*y9**2*y75 + -y11**2*y147 + -y11**2*y14**2*y77 + y12**2*y149 + y12**2*y58**2*y82
y12' = y11**2*y14**2*y77 + -y12**2*y149 + -y12**2*y58**2*y82
y13' = y8**2*y10**2*y76 + -y13**2*y148
y14' = -y11**2*y14**2*y77 + y12**2*y149 + y15**2*y160
y15' = y12**2*y58**2*y82 + -y15**2*y160 + -y15**2*y41**2*y137 + y16**2*y161
y16' = y15**2*y41**2*y137 + -y16**2*y161
y17' = -y17**2*y39**2*y139 + y18**2*y115 + y18**2*y42**2*y116
y18' = y17**2*y39**2*y139 + -y18**2*y115 + -y18**2*y42**2*y116
y19' = -y15**2*y19**2*y140 + y20**2*y117 + y7**2*y20**2*y118
y20' = y15**2*y19**2*y140 + -y20**2*y117 + -y7**2*y20**2*y118
y21' = y62**2*y70*y168 + y66**2*y169 + -y21**2*y51*y93
y22' = y34**2*y72*y201**2 + y30**2*y73*y201**2 + -y22**2*y51*y94 + -y22**2*y53**2*y133 + y27**2*y150 + -y22**2*y56**2*y134 + y28**2*y153
y23' = y30**2*y71*y202**2 + -y23**2*y51*y95 + -y23**2*y53**2*y131 + y24**2*y151 + -y23**2*y56**2*y132 + y25**2*y152
y24' = y23**2*y53**2*y131 + -y24**2*y151
y25' = y23**2*y56**2*y132 + -y25**2*y152
y26' = y62**2*y70*y172 + y66**2*y173 + -y26**2*y51*y96
y27' = y22**2*y53**2*y133 + -y27**2*y150
y28' = y22**2*y56**2*y134 + -y28**2*y153
y29' = y62**2*y70*y174 + y66**2*y175 + -y29**2*y51*y97
y30' = y34**2*y74*y203**2 + -y30**2*y51*y98 + -y30**2*y53**2*y135 + y31**2*y154 + -y30**2*y56**2*y136 + y32**2*y155
y31' = y30**2*y53**2*y135 + -y31**2*y154
y32' = y30**2*y56**2*y136 + -y32**2*y155
y33' = y62**2*y70*y177 + y66**2*y178 + -y33**2*y51*y99
y34' = y62**2*y70*y179 + -y34**2*y51*y100
y35' = -y35**2*y36**2*y78 + y39**2*y156 + -y35**2*y38**2*y79 + y40**2*y157 + -y35**2*y51*y101
y36' = -y35**2*y36**2*y78 + y39**2*y156 + -y36**2*y43**2*y80 + y37**2*y158
y37' = y36**2*y43**2*y80 + -y37**2*y158
y38' = -y35**2*y38**2*y79 + y40**2*y157
y39' = y35**2*y36**2*y78 + -y39**2*y156
y40' = y35**2*y38**2*y79 + -y40**2*y157
y41' = y62**2*y70*y180 + y66**2*y181 + -y41**2*y51*y102 + -y41**2*y58**2*y137 + -y15**2*y41**2*y137 + y59**2*y161 + y16**2*y161
y42' = y48**2*y182 + -y42**2*y51*y103
y43' = y44**2*y183 + -y43**2*y51*y104 + -y36**2*y43**2*y80 + y37**2*y158
y44' = y48**2*y184 + -y44**2*y51*y105
y45' = y62**2*y70*y185 + -y45**2*y51*y106 + -y45**2*y54**2*y81 + y46**2*y159
y46' = y45**2*y54**2*y81 + -y46**2*y159
y47' = y18**2*y49**2*y141 + -y47**2*y119 + -y42**2*y47**2*y120 + -y47**2*y84
y48' = -y48**2*y121 + -y42**2*y48**2*y122 + y47**2*y84
y49' = -y18**2*y49**2*y141 + y47**2*y119 + y42**2*y47**2*y120 + y50**2*y138
y50' = y48**2*y121 + y42**2*y48**2*y122 + -y50**2*y138
y51' = 0
y52' = 0
y53' = y55**2*y186 + -y51*y53**2*y107 + -y22**2*y53**2*y133 + y27**2*y150 + -y30**2*y53**2*y135 + y31**2*y154 + -y23**2*y53**2*y131 + y24**2*y151 + -y0**2*y53**2*y129 + y1**2*y145
y54' = -y45**2*y54**2*y81 + y46**2*y159
y55' = -y51*y55**2*y108 + y48**2*y54**2*y188 + y54**2*y192 + y54**2*y62**2*y70*y187
y56' = y57**2*y189 + -y51*y56**2*y109 + -y0**2*y56**2*y130 + y2**2*y146 + -y22**2*y56**2*y134 + y28**2*y153 + -y30**2*y56**2*y136 + y32**2*y155 + -y23**2*y56**2*y132 + y25**2*y152
y57' = y52**2*y193 + y62**2*y70*y190 + y48**2*y70*y191 + -y51*y57**2*y110
y58' = -y12**2*y58**2*y82 + y15**2*y160 + -y41**2*y58**2*y137 + y59**2*y161
y59' = y41**2*y58**2*y137 + -y59**2*y161
y60' = y63**2*y195 + -y51*y60**2*y111 + -y60**2*y69**2*y142 + y61**2*y123 + y7**2*y61**2*y124
y61' = y60**2*y69**2*y142 + -y61**2*y123 + -y7**2*y61**2*y124 + -y61**2*y65**2*y83 + y62**2*y162
y62' = y61**2*y65**2*y83 + -y62**2*y162
y63' = y62**2*y70*y196 + -y51*y63**2*y112 + y48**2*y197
y64' = -y20**2*y64**2*y143 + y65**2*y125 + y67**2*y198 + -y51*y64**2*y113
y65' = y20**2*y64**2*y143 + -y65**2*y125 + -2*y65**3*y128 + y65*y66 + 2*y66**2*y85 + -y61**2*y65**2*y83 + y62**2*y162
y66' = y65**3*y128 + -1/2*y65*y66 + -y66**2*y85
y67' = y62**2*y70*y199 + y66**2*y200 + y52**2*y194 + -y51*y67**2*y114
y68' = -y15**2*y68**2*y144 + y69**2*y126 + y21**2*y69**2*y127
y69' = y15**2*y68**2*y144 + -y69**2*y126 + -y21**2*y69**2*y127
y70' = 0
y71' = 0
y72' = 0
y73' = 0
y74' = 0
y75' = 0
y76' = 0
y77' = 0
y78' = 0
y79' = 0
y80' = 0
y81' = 0
y82' = 0
y83' = 0
y84' = 0
y85' = 0
y86' = 0
y87' = 0
y88' = 0
y89' = 0
y90' = 0
y91' = 0
y92' = 0
y93' = 0
y94' = 0
y95' = 0
y96' = 0
y97' = 0
y98' = 0
y99' = 0
y100' = 0
y101' = 0
y102' = 0
y103' = 0
y104' = 0
y105' = 0
y106' = 0
y107' = 0
y108' = 0
y109' = 0
y110' = 0
y111' = 0
y112' = 0
y113' = 0
y114' = 0
y115' = 0
y116' = 0
y117' = 0
y118' = 0
y119' = 0
y120' = 0
y121' = 0
y122' = 0
y123' = 0
y124' = 0
y125' = 0
y126' = 0
y127' = 0
y128' = 0
y129' = 0
y130' = 0
y131' = 0
y132' = 0
y133' = 0
y134' = 0
y135' = 0
y136' = 0
y137' = 0
y138' = 0
y139' = 0
y140' = 0
y141' = 0
y142' = 0
y143' = 0
y144' = 0
y145' = 0
y146' = 0
y147' = 0
y148' = 0
y149' = 0
y150' = 0
y151' = 0
y152' = 0
y153' = 0
y154' = 0
y155' = 0
y156' = 0
y157' = 0
y158' = 0
y159' = 0
y160' = 0
y161' = 0
y162' = 0
y163' = 0
y164' = 0
y165' = 0
y166' = 0
y167' = 0
y168' = 0
y169' = 0
y170' = 0
y171' = 0
y172' = 0
y173' = 0
y174' = 0
y175' = 0
y176' = 0
y177' = 0
y178' = 0
y179' = 0
y180' = 0
y181' = 0
y182' = 0
y183' = 0
y184' = 0
y185' = 0
y186' = 0
y187' = 0
y188' = 0
y189' = 0
y190' = 0
y191' = 0
y192' = 0
y193' = 0
y194' = 0
y195' = 0
y196' = 0
y197' = 0
y198' = 0
y199' = 0
y200' = 0
y201' = y29**2*y170 + -y34**2*y72*y201**2 + -y30**2*y73*y201**2
y202' = y26**2*y171 + -y30**2*y71*y202**2
y203' = y33**2*y176 + -y34**2*y74*y203**2
The size of the original model is 205
The size of the reduced model is 204
Computation took 0.9387469291687012 seconds
===============================================
New variables:
y0 = DUSP16
y1 = IL1
y2 = IL1R
y3 = IL1Ra
y4 = IL1_IL1R
y5 = IL1_IL1R_IRAK2
y6 = IL1_IL1Ra
y7 = IRAK2
y8 = IRAK2_TRAF6
y9 = IRAK2_TRAF6_PP4
y10 = JAK1
y11 = JAK1_P
y12 = JNK
y13 = JNK_P
y14 = MKP1
y15 = OSM
y16 = OSMR
y17 = OSMR_SOCS3
y18 = OSMRa
y19 = OSM_OSMR
y20 = OSM_OSMRa
y21 = PP4
y22 = PTPRT
y23 = SOCS3
y24 = SOCS3_mRNA
y25 = STAT3_P_cyt
y26 = STAT3_P_nuc
y27 = STAT3_cyt
y28 = STAT3_nuc
y29 = Sink
y30 = Source
y31 = TRAF6
y32 = TRAF6_PP4
y33 = cFos
y34 = cFos_P
y35 = cFos_cJun
y36 = cFos_mRNA
y37 = cJun
y38 = cJun_P
y39 = cJun_dimer
y40 = cJun_mRNA
y41 = p38
y42 = p38_P
y43 = pkAP1activity
y44 = pkbinIL1IL1R
y45 = pkbinIL1IL1Ra
y46 = pkbinIRAK2
y47 = pkbinOSMOSMR
y48 = pkbinOSMOSMRa
y49 = pkbinSOCS3OSMR
y50 = pkbinTRAF6
y51 = pkbincFoscJun
y52 = pkcyt2nucSTAT3
y53 = pkdedimercJun
y54 = pkdegDUSP16
y55 = pkdegIL1
y56 = pkdegMKP1
y57 = pkdegOSM
y58 = pkdegPP4
y59 = pkdegPTPRT
y60 = pkdegSOCS3
y61 = pkdegSOCS3mRNA
y62 = pkdegcFos
y63 = pkdegcFosmRNA
y64 = pkdegcJun
y65 = pkdegcJunmRNA
y66 = pkdephosJAK1
y67 = pkdephosJAK1PTPRT
y68 = pkdephosJNK
y69 = pkdephosJNKDUSP16
y70 = pkdephosSTAT3
y71 = pkdephosSTAT3PTPRT
y72 = pkdephosSTAT3nuc
y73 = pkdephosSTAT3nucPTPRT
y74 = pkdephoscFos
y75 = pkdephoscFosDUSP16
y76 = pkdephoscJun
y77 = pkdephosp38
y78 = pkdephosp38MKP1
y79 = pkdimercJun
y80 = pkinhibTRAF6
y81 = pknuc2cytSTAT3
y82 = pkphosJAK1
y83 = pkphosJNK
y84 = pkphosSTAT3
y85 = pkphoscFos
y86 = pkphoscJun
y87 = pkphosp38
y88 = pkrelIL1IL1R
y89 = pkrelIL1IL1Ra
y90 = pkrelIRAK2
y91 = pkrelOSMOSMR
y92 = pkrelOSMOSMRa
y93 = pkrelSOCS3OSMR
y94 = pkrelTRAF6
y95 = pkrelTRAF6PP4
y96 = pkrelcFoscJun
y97 = pksynDUSP16
y98 = pksynDUSP16cJun
y99 = pksynMKP1
y100 = pksynMKP1cJun
y101 = pksynPP4
y102 = pksynPP4cJun
y103 = pksynPTPRT
y104 = pksynSOCS3
y105 = pksynSOCS3mRNA
y106 = pksynbasalcJunmRNA
y107 = pksyncFos
y108 = pksyncFosmRNA
y109 = pksyncFosmRNAStat3
y110 = pksyncJun
y111 = pksyncJunmRNA
y112 = pksyncJunmRNAcJun
Lumped system:
y0' = y35**2*y43*y97 + y39**2*y98 + -y0**2*y29*y54
y1' = -y1**2*y2**2*y44 + y4**2*y88 + -y1**2*y3**2*y45 + y6**2*y89 + -y1**2*y29*y55
y2' = -y1**2*y2**2*y44 + y4**2*y88
y3' = -y1**2*y3**2*y45 + y6**2*y89
y4' = y1**2*y2**2*y44 + -y4**2*y88 + -y4**2*y7**2*y46 + y5**2*y90 + y5**2*y31**2*y50
y5' = y4**2*y7**2*y46 + -y5**2*y90 + -y5**2*y31**2*y50
y6' = y1**2*y3**2*y45 + -y6**2*y89
y7' = -y4**2*y7**2*y46 + y5**2*y90 + y8**2*y94
y8' = y5**2*y31**2*y50 + -y8**2*y94 + -y8**2*y21**2*y80 + y9**2*y95
y9' = y8**2*y21**2*y80 + -y9**2*y95
y10' = -y10**2*y19**2*y82 + y11**2*y66 + y11**2*y22**2*y67
y11' = y10**2*y19**2*y82 + -y11**2*y66 + -y11**2*y22**2*y67
y12' = -y8**2*y12**2*y83 + y13**2*y68 + y0**2*y13**2*y69
y13' = y8**2*y12**2*y83 + -y13**2*y68 + -y0**2*y13**2*y69
y14' = y35**2*y43*y99 + y39**2*y100 + -y14**2*y29*y56
y15' = -y15**2*y16**2*y47 + y19**2*y91 + -y15**2*y18**2*y48 + y20**2*y92 + -y15**2*y29*y57
y16' = -y15**2*y16**2*y47 + y19**2*y91 + -y16**2*y23**2*y49 + y17**2*y93
y17' = y16**2*y23**2*y49 + -y17**2*y93
y18' = -y15**2*y18**2*y48 + y20**2*y92
y19' = y15**2*y16**2*y47 + -y19**2*y91
y20' = y15**2*y18**2*y48 + -y20**2*y92
y21' = y35**2*y43*y101 + y39**2*y102 + -y21**2*y29*y58 + -y21**2*y31**2*y80 + -y8**2*y21**2*y80 + y32**2*y95 + y9**2*y95
y22' = y26**2*y103 + -y22**2*y29*y59
y23' = y24**2*y104 + -y23**2*y29*y60 + -y16**2*y23**2*y49 + y17**2*y93
y24' = y26**2*y105 + -y24**2*y29*y61
y25' = y11**2*y27**2*y84 + -y25**2*y70 + -y22**2*y25**2*y71 + -y25**2*y52
y26' = -y26**2*y72 + -y22**2*y26**2*y73 + y25**2*y52
y27' = -y11**2*y27**2*y84 + y25**2*y70 + y22**2*y25**2*y71 + y28**2*y81
y28' = y26**2*y72 + y22**2*y26**2*y73 + -y28**2*y81
y29' = 0
y30' = 0
y31' = -y5**2*y31**2*y50 + y8**2*y94 + -y21**2*y31**2*y80 + y32**2*y95
y32' = y21**2*y31**2*y80 + -y32**2*y95
y33' = y36**2*y107 + -y29*y33**2*y62 + -y33**2*y42**2*y85 + y34**2*y74 + y0**2*y34**2*y75
y34' = y33**2*y42**2*y85 + -y34**2*y74 + -y0**2*y34**2*y75 + -y34**2*y38**2*y51 + y35**2*y96
y35' = y34**2*y38**2*y51 + -y35**2*y96
y36' = y35**2*y43*y108 + -y29*y36**2*y63 + y26**2*y109
y37' = -y13**2*y37**2*y86 + y38**2*y76 + y40**2*y110 + -y29*y37**2*y64
y38' = y13**2*y37**2*y86 + -y38**2*y76 + -2*y38**3*y79 + y38*y39 + 2*y39**2*y53 + -y34**2*y38**2*y51 + y35**2*y96
y39' = y38**3*y79 + -1/2*y38*y39 + -y39**2*y53
y40' = y35**2*y43*y111 + y39**2*y112 + y30**2*y106 + -y29*y40**2*y65
y41' = -y8**2*y41**2*y87 + y42**2*y77 + y14**2*y42**2*y78
y42' = y8**2*y41**2*y87 + -y42**2*y77 + -y14**2*y42**2*y78
y43' = 0
y44' = 0
y45' = 0
y46' = 0
y47' = 0
y48' = 0
y49' = 0
y50' = 0
y51' = 0
y52' = 0
y53' = 0
y54' = 0
y55' = 0
y56' = 0
y57' = 0
y58' = 0
y59' = 0
y60' = 0
y61' = 0
y62' = 0
y63' = 0
y64' = 0
y65' = 0
y66' = 0
y67' = 0
y68' = 0
y69' = 0
y70' = 0
y71' = 0
y72' = 0
y73' = 0
y74' = 0
y75' = 0
y76' = 0
y77' = 0
y78' = 0
y79' = 0
y80' = 0
y81' = 0
y82' = 0
y83' = 0
y84' = 0
y85' = 0
y86' = 0
y87' = 0
y88' = 0
y89' = 0
y90' = 0
y91' = 0
y92' = 0
y93' = 0
y94' = 0
y95' = 0
y96' = 0
y97' = 0
y98' = 0
y99' = 0
y100' = 0
y101' = 0
y102' = 0
y103' = 0
y104' = 0
y105' = 0
y106' = 0
y107' = 0
y108' = 0
y109' = 0
y110' = 0
y111' = 0
y112' = 0
The size of the original model is 205
The size of the reduced model is 113
Computation took 0.3136172294616699 seconds
