Model Mathematics

Component: environment

Component: Calcium

Component: undefinedvariables

Component: DGBM_Model_Modules

ddtGa_GDP=Ga_GTP⁢kfD7-Ga_GDP⁢kfD8⁢Gbg+CaGqPLC⁢kfG5 ddtmGluR=kfD5⁢Gabg_GluR-kbD5⁢Gabg⁢mGluR-kfD3⁢mGluR-kbD3⁢Glu⁢R+kfD6⁢Gabg_GluR ddtGabg=Ga_GDP⁢Gbg⁢kfD8-Gabg⁢R⁢kfD4-Gabg_R⁢kbD4+kfD5⁢Gabg_GluR-kbD5⁢Gabg⁢mGluR-kfD9⁢Gabg⁢GTP ddtR=kfD3⁢mGluR-kbD3⁢Glu⁢R-Gabg⁢R⁢kfD4-Gabg_R⁢kbD4 ddtGbg=-Ga_GDP⁢Gbg⁢kfD8+kfD6⁢Gabg_GluR+kfD9⁢Gabg⁢GTP-kfB8⁢GEF⁢Gbg-kbB8⁢Gbg_GEF ddtGabg_R=Gabg⁢R⁢kfD4-Gabg_R⁢kbD4+kfD2⁢Gabg_GluR-Gabg_R⁢Glu⁢kbD2 ddtGlu_synapse=-kfD1⁢Glu_synapse-kbD1⁢Glu ddtGabg_GluR=-kfD2⁢Gabg_GluR-Gabg_R⁢Glu⁢kbD2-kfD5⁢Gabg_GluR-kbD5⁢Gabg⁢mGluR-kfD6⁢Gabg_GluR ddtGlu=kfD1⁢Glu_synapse-kbD1⁢Glu+kfD2⁢Gabg_GluR-Gabg_R⁢Glu⁢kbD2+kfD3⁢mGluR-kbD3⁢Glu⁢R ddtGa_GTP=kfD9⁢Gabg⁢GTP-Ga_GTP⁢kfD7-PLC⁢Ga_GTP⁢kfG2-GqPLC⁢kbG2-CaGqPLC⁢kbG4+CaPLC⁢Ga_GTP⁢kfG4 ddtPLC=-PLC⁢Ca⁢kfG1-CaPLC⁢kbG1-PLC⁢Ga_GTP⁢kfG2-GqPLC⁢kbG2 ddtGqPLC=PLC⁢Ga_GTP⁢kfG2-GqPLC⁢kbG2-Ca⁢GqPLC⁢kfG3-CaGqPLC⁢kbG3 ddtCaPLC=PLC⁢Ca⁢kfG1-CaPLC⁢kbG1+CaGqPLC⁢kfG5--CaGqPLC⁢kbG4+CaPLC⁢Ga_GTP⁢kfG4 ddtCaGqPLC=GqPLC⁢Ca⁢kfG3-CaGqPLC⁢kbG3+CaPLC⁢Ga_GTP⁢kfG4-CaGqPLC⁢kbG4-CaGqPLC⁢kfG5 ddtGEF_inact=PKA⁢VmaxB1⁢GEFkmB1+GEF-kfB2⁢GEF_inact ddtGEF=-PKA⁢VmaxB1⁢GEFkmB1+GEF+PKC⁢VmaxB6⁢GEFkmB6⁢one+GAPkmB3+NgkmM7+RafkmH1+NgCaMkmM8+GEF-kfB2⁢GEF_inact-kfB7⁢GEF_star-kfB5⁢Ca4CAM⁢GEF+kbB5⁢CaM_GEF-kfB8⁢GEF⁢Gbg+kbB8⁢Gbg_GEF ddtCaM_GEF=-kbB5⁢CaM_GEF+kfB5⁢GEF⁢Ca4CAM ddtCa4CAM=--kbB5⁢CaM_GEF+kfB5⁢GEF⁢Ca4CAM+Ca⁢Ca3CaM⁢kfM3-kbM3⁢Ca4CAM ddtGbg_GEF=--kfB8⁢GEF⁢Gbg+kbB8⁢Gbg_GEF ddtGEF_star=PKC⁢VmaxB6⁢GEFkmB6⁢one+GAPkmB3+NgkmM7+RafkmH1+NgCaMkmM8+GEF-kfB7⁢GEF_star ddtCaM=-kfM1⁢Ca⁢Ca⁢CaM-kbM1⁢Ca2CaM-kfM4⁢Ng⁢CaM-kbM4⁢NgCaM+NgCaM⁢PKC⁢VmaxM8NgCaM+kmM8 ddtNgCaM=kfM4⁢Ng⁢CaM-kbM4⁢NgCaM-NgCaM⁢PKC⁢VmaxM8NgCaM+kmM8⁢one+GAPkmB3+GEFkmB6+RafkmH1+NgkmM7 ddtCa2CaM=kfM1⁢Ca⁢Ca⁢CaM-kbM1⁢Ca2CaM-Ca⁢Ca2CaM⁢kfM2-kbM2⁢Ca3CaM ddtCa3CaM=Ca⁢Ca2CaM⁢kfM2-kbM2⁢Ca3CaM-Ca⁢Ca3CaM⁢kfM3-kbM3⁢Ca4CAM ddtNg_star=NgCaM⁢PKC⁢VmaxM8NgCaM+kmM8⁢one+GAPkmB3+GEFkmB6+RafkmH1+NgkmM7-kfM6⁢Ng_star-VmaxM5⁢Ng_starNg_star+kmM5+Ng⁢PKC⁢VmaxM7Ng+kmM7⁢one+GAPkmB3+GEFkmB6+RafkmH1+NgCaMkmM8 ddtNg=kfM6⁢Ng_star+VmaxM5⁢Ng_starNg_star+kmM5-Ng⁢PKC⁢VmaxM7Ng+kmM7⁢one+GAPkmB3+GEFkmB6+RafkmH1+NgCaMkmM8

Component: B_Model_Modules

ddtGTP_RAS=-GAP⁢VmaxB13⁢GTP_RASkmB13+GTP_RAS-kfB12⁢GTP_RAS+GEF_star⁢VmaxB10⁢GDP_RASkmB10+GDP_RAS+Gbg_GEF⁢VmaxB11⁢GDP_RASkmB11+GDP_RAS+CaM_GEF⁢VmaxB9⁢GDP_RASkmB9+GDP_RAS+SHCstar_SOS_GRB2⁢VmaxA7⁢GDP_RASkmA7+GDP_RAS-GTP_RAS⁢Raf_star⁢kfH5+GTPRasRaf_star⁢kbH5 ddtGDP_RAS=--GAP⁢VmaxB13⁢GTP_RASkmB13+GTP_RAS-kfB12⁢GTP_RAS+GEF_star⁢VmaxB10⁢GDP_RASkmB10+GDP_RAS+Gbg_GEF⁢VmaxB11⁢GDP_RASkmB11+GDP_RAS+CaM_GEF⁢VmaxB9⁢GDP_RASkmB9+GDP_RAS-SHCstar_SOS_GRB2⁢VmaxA7⁢GDP_RASkmA7+GDP_RAS ddtGAP=-PKC⁢VmaxB3⁢GAPkmB3⁢one+RafkmH1+GEFkmB6+NgkmM7+NgCaMkmM8+GAP+kfB4⁢GAPstar ddtGAPstar=PKC⁢VmaxB3⁢GAPkmB3⁢one+RafkmH1+GEFkmB6+NgkmM7+NgCaMkmM8+GAP-kfB4⁢GAPstar ddtGTPRasRaf_star=GTP_RAS⁢Raf_star⁢kfH5-GTPRasRaf_star⁢kbH5 ddtRaf=-PKC⁢Raf⁢VmaxH1kmH1⁢one+GAPkmB3+GEFkmB6+NgkmM7+NgCaMkmM8+Raf+Raf_star⁢PP2A⁢VmaxH3kmH3⁢one+Raf_star_starkmH4+MAPKK_star_starkmH9+MAPKK_starkmH8+Raf_star ddtRaf_star=PKC⁢Raf⁢VmaxH1kmH1⁢one+GAPkmB3+GEFkmB6+NgkmM7+NgCaMkmM8+Raf-Raf_star⁢PP2A⁢VmaxH3kmH3⁢one+Raf_star_starkmH4+MAPKK_star_starkmH9+MAPKK_starkmH8+Raf_star-Raf_star⁢MAPK_star⁢VmaxH2kmH2⁢one+SOSkmA9+Raf_star+Raf_star_star⁢PP2A⁢VmaxH4kmH4⁢one+Raf_starkmH3+MAPKK_star_starkmH9+MAPKK_starkmH8+Raf_star_star ddtRaf_star_star=Raf_star⁢MAPK_star⁢VmaxH2kmH2⁢one+SOSkmA9+Raf_star-Raf_star_star⁢PP2A⁢VmaxH4kmH4⁢one+Raf_starkmH3+MAPKK_star_starkmH9+MAPKK_starkmH8+Raf_star_star

Component: H_Model_Module_MAPKK

ddtMAPKK=-MAPKK⁢VmaxH6⁢GTPRasRaf_starkmH6⁢one+MAPKK_starkmH7+MAPKK+MAPKK_star⁢VmaxH8⁢PP2AkmH8⁢one+Raf_starkmH3+Raf_star_starkmH4+MAPKK_star_starkmH9+MAPKK_star ddtMAPKK_star=MAPKK⁢VmaxH6⁢GTPRasRaf_starkmH6⁢one+MAPKK_starkmH7+MAPKK-MAPKK_star⁢VmaxH8⁢PP2AkmH8⁢one+Raf_starkmH3+Raf_star_starkmH4+MAPKK_star_starkmH9+MAPKK_star-MAPKK_star⁢VmaxH7⁢GTPRasRaf_starkmH7⁢one+MAPKKkmH6+MAPKK_star+MAPKK_star_star⁢VmaxH9⁢PP2AkmH9⁢one+Raf_starkmH3+Raf_star_starkmH4+MAPKK_starkmH8+MAPKK_star_star ddtMAPKK_star_star=MAPKK_star⁢VmaxH7⁢GTPRasRaf_starkmH7⁢one+MAPKKkmH6+MAPKK_star-MAPKK_star_star⁢VmaxH9⁢PP2AkmH9⁢one+Raf_starkmH3+Raf_star_starkmH4+MAPKK_starkmH8+MAPKK_star_star

Component: H_Model_Module_MAPK

ddtMAPK=-MAPK⁢VmaxH10⁢MAPKK_star_starkmH10⁢one+MAPK_tyrkmH11+MAPK+MAPK_tyr⁢VmaxH12⁢MKP1kmH12⁢one+MAPK_starkmH13+MAPK_tyr ddtMAPK_tyr=MAPK⁢VmaxH10⁢MAPKK_star_starkmH10⁢MAPK_tyrkmH11+MAPK-MAPK_tyr⁢VmaxH12⁢MKP1kmH12⁢one+MAPK_starkmH13+MAPK_tyr-MAPK_tyr⁢VmaxH11⁢MAPKK_star_starkmH11⁢one+MAPK_tyrkmH12+MAPK_tyr+MAPK_star⁢VmaxH13⁢MKP1kmH13⁢one+MAPK_tyrkmH12+MAPK_star ddtMAPK_star=MAPK_tyr⁢VmaxH11⁢MAPKK_star_starkmH11⁢one+MAPKkmH10+MAPK_tyr-MAPK_star⁢VmaxH13⁢MKP1kmH13⁢one+MAPK_tyrkmH12+MAPK_star

Component: A_Model_Module_SHC

ddtSHCstar=EGF_EGFR⁢VmaxA3⁢SHCkmA3⁢one+CaPLCgkmF4+SHC-kfA6⁢SHCstar⁢SOS_GRB2+kbA6⁢SHCstar_SOS_GRB2-kfA4⁢SHCstar ddtSHC=kfA4⁢SHCstar-kbA4⁢SHC-EGF_EGFR⁢VmaxA3⁢SHCkmA3⁢one+CaPLCgkmF4+SHC ddtSHCstar_SOS_GRB2=kfA6⁢SHCstar⁢SOS_GRB2-kbA6⁢SHCstar_SOS_GRB2 ddtSOS_GRB2=-kfA6⁢SHCstar⁢SOS_GRB2+kbA6⁢SHCstar_SOS_GRB2-kbA5⁢SOS_GRB2+kfA5⁢SOS⁢GRB2 ddtSOS=kfA8⁢SOSstar-kbA8⁢SOS-MAPK_star⁢VmaxA9⁢SOSkmA9⁢one+Raf_starkmH2+SOS+kbA5⁢SOS_GRB2-kfA5⁢SOS⁢GRB2 ddtSOSstar=-kfA8⁢SOSstar+kbA8⁢SOS+MAPK_star⁢VmaxA9⁢SOSkmA9⁢one+Raf_starkmH2+SOS-kfA10⁢SOSstar⁢GRB2+kbA10⁢SOSstar_GRB2 ddtSOSstar_GRB2=kfA10⁢SOSstar⁢GRB2-kbA10⁢SOSstar_GRB2 ddtGRB2=kbA5⁢SOS_GRB2-kfA5⁢SOS⁢GRB2-kfA10⁢SOSstar⁢GRB2+kbA10⁢SOSstar_GRB2

Component: A_Model_Module_EGFR

ddtEGF=-kfA1⁢EGF⁢EGFR+kbA1⁢EGF_EGFR ddtEGFR=-kfA1⁢EGF⁢EGFR+kbA1⁢EGF_EGFR ddtEGF_EGFR=kfA1⁢EGF⁢EGFR-kbA1⁢EGF_EGFR-kfA2⁢EGF_EGFR+kbA2⁢EGF_EGFR_INTERNAL ddtEGF_EGFR_INTERNAL=kfA2⁢EGF_EGFR-kbA2⁢EGF_EGFR_INTERNAL

Component: F_Model_Module_PLC

ddtPLCg=-Ca⁢PLCg⁢kfF1+CaPLCg⁢kbF1 ddtCaPLCg=--Ca⁢PLCg⁢kfF1+CaPLCg⁢kbF1+kfF3⁢CaPLCg_star-VmaxF4⁢EGF_EGFR⁢CaPLCgkmF4⁢one+SHCkmA3+CaPLCg ddtCaPLCg_star=-kfF3⁢CaPLCg_star-VmaxF4⁢EGF_EGFR⁢CaPLCgkmF4+CaPLCg+Ca⁢PLCg_star⁢kfF5-kbF5⁢CaPLCg_star ddtPLCg_star=-Ca⁢PLCg_star⁢kfF5+kbF5⁢CaPLCg_star

Component: KEL_DAGIP3_Model_Modules

ddtPKC_i=-PKC_i⁢kfK1+PKC⁢kbK1-PKC_i⁢AA⁢kfK2+PKC⁢kbK2-PKC_i⁢DAG⁢kfK9+DAGPKC⁢kbK9-PKC_i⁢Ca⁢kfK7+CaPKC⁢kbK7 ddtDAGPKC=PKC_i⁢DAG⁢kfK9-DAGPKC⁢kbK9-DAGPKC⁢AA⁢kfK10+AADAGPKC⁢kbK10 ddtAADAGPKC=DAGPKC⁢AA⁢kfK10-AADAGPKC⁢kbK10-AADAGPKC⁢kfK6+PKC⁢kbK6 ddtCaPKC=PKC_i⁢Ca⁢kfK7-CaPKC⁢kbK7-CaPKC⁢kfK3+PKC⁢kbK3-CaPKC⁢AA⁢kfK4+PKC⁢kbK4-DAG⁢CaPKC⁢kfK8+DAGCaPKC⁢kbK8 ddtDAGCaPKC=DAG⁢CaPKC⁢kfK8-DAGCaPKC⁢kbK8-DAGCaPKC⁢kfK5+PKC⁢kbK5 ddtPKC=PKC_i⁢kfK1-PKC⁢kbK1+PKC_i⁢AA⁢kfK2-PKC⁢kbK2+CaPKC⁢kfK3-PKC⁢kbK3+CaPKC⁢AA⁢kfK4-PKC⁢kbK4+DAGCaPKC⁢kfK5-PKC⁢kbK5+AADAGPKC⁢kfK6-PKC⁢kbK6 ddtAA=-PKC_i⁢AA⁢kfK2+PKC⁢kbK2-CaPKC⁢AA⁢kfK4+PKC⁢kbK4-DAGPKC⁢AA⁢kfK10+AADAGPKC⁢kbK10-AA⁢kfE13+CaPLA2_star⁢VmaxE12⁢APCkmE12+APC+CaPLA2⁢VmaxE4⁢APCkmE4+APC+DAGCaPLA2⁢VmaxE8⁢APCkmE8+APC+PIP2CaPLA2⁢VmaxE6⁢APCkmE6+APC+PIP2PLA2⁢VmaxE2⁢APCkmE2+APC ddtPLA2_cyt=PLA2_star⁢kfE10-PIP2_star⁢PLA2_cyt⁢kfE1+PIP2PLA2⁢kbE1-Ca⁢PLA2_cyt⁢kfE3+CaPLA2⁢kbE3-MAPK⁢VmaxE9⁢PLA2_cytkmE9+PLA2_cyt ddtPIP2PLA2=PIP2_star⁢PLA2_cyt⁢kfE1-PIP2PLA2⁢kbE1 ddtPIP2_star=-PIP2_star⁢PLA2_cyt⁢kfE1+PIP2PLA2⁢kbE1-PIP2_star⁢CaPLA2⁢kfE5+PIP2CaPLA2⁢kbE5 ddtPLA2_star=-PLA2_star⁢kfE10+MAPK⁢VmaxE9⁢PLA2_cytkmE9+PLA2_cyt-Ca⁢PLA2_star⁢kfE11+CaPLA2_star⁢kbE11 ddtCaPLA2_star=Ca⁢PLA2_star⁢kfE11-CaPLA2_star⁢kbE11 ddtCaPLA2=Ca⁢PLA2_cyt⁢kfE3-CaPLA2⁢kbE3-DAG⁢CaPLA2⁢kfE7+DAGCaPLA2⁢kbE7-PIP2_star⁢CaPLA2⁢kfE5+PIP2CaPLA2⁢kbE5 ddtPIP2CaPLA2=PIP2_star⁢CaPLA2⁢kfE5-PIP2CaPLA2⁢kbE5 ddtDAGCaPLA2=DAG⁢CaPLA2⁢kfE7-DAGCaPLA2⁢kbE7 ddtAPC=AA⁢kfE13-CaPLA2_star⁢VmaxE12⁢APCkmE12+APC+CaPLA2⁢VmaxE4⁢APCkmE4+APC+DAGCaPLA2⁢VmaxE8⁢APCkmE8+APC+PIP2CaPLA2⁢VmaxE6⁢APCkmE6+APC+PIP2PLA2⁢VmaxE2⁢APCkmE2+APC ddtPIP2=-CaPLCg⁢VmaxF2⁢PIP2kmF2+PIP2-CaPLCg_star⁢VmaxF6⁢PIP2kmF6+PIP2-CaPLC⁢VmaxG7⁢PIP2kmG7+PIP2-CaGqPLC⁢VmaxG6⁢PIP2kmG6+PIP2 ddtDAG=CaPLCg⁢VmaxF2⁢PIP2kmF2+PIP2+CaPLCg_star⁢VmaxF6⁢PIP2kmF6+PIP2+CaPLC⁢VmaxG7⁢PIP2kmG7+PIP2-kfG8⁢DAG+CaGqPLC⁢VmaxG6⁢PIP2kmG6+PIP2-PKC_i⁢DAG⁢kfK9+DAGPKC⁢kbK9-DAG⁢CaPKC⁢kfK8+DAGCaPKC⁢kbK8-DAG⁢CaPLA2⁢kfE7+DAGCaPLA2⁢kbE7 ddtIP3=CaPLCg⁢VmaxF2⁢PIP2kmF2+PIP2+CaPLCg_star⁢VmaxF6⁢PIP2kmF6+PIP2+CaGqPLC⁢VmaxG6⁢PIP2kmG6+PIP2-kfG9⁢IP3+CaPLC⁢VmaxG7⁢PIP2kmG7+PIP2 ddtPC=kfG8⁢DAG ddtInositol=kfG9⁢IP3