Metabolite mass-balance dual values

Shadow prices of the metabolite mass-balance constraints obtained in the simulation runs (table columns). The measurement units of shadow prices are given by the measurement unit of objective function, divided by the measurement units of the respective constraints

ElementID run1 run2 run3
M_e1_c
0
0
0
M_e1p_c 0.00026 0.00026
0
M_hpr_c -0.00026 -0.00026
0
M_h15_c
0
0
0
M_glc_c
0
0
0
M_fru_c 3e-05 3e-05
0
M_fru1p_c 0.00034 0.00034
0
M_mal6p_c 0.00027 0.00027
0
M_s6p_c 0.0003 0.0003
0
M_man6p_c 0.00034 0.00034
0
M_mtl1p_c 0.00051 0.00051
0
M_t6p_c 0.00027 0.00027
0
M_l6p_c 0.00027 0.00027
0
M_c6p_c 0.00027 0.00027
0
M_gn6p_c 0.00097 0.00097
0
M_nagn6p_c 0.00099 0.00099
0
M_sor_c 0.0002 0.0002
0
M_inos_c 0.00065 0.00065
0
M_ino2_c 0.00048 0.00048
0
M_kino2_c 0.00048 0.00048
0
M_kino5_c 0.00048 0.00048
0
M_kino56p_c 0.00079 0.00079
0
M_oxo3_c 0.00042 0.00042
0
M_rib_c
0
0
0
M_ara_c 6e-05 6e-05
0
M_rul_c 6e-05 6e-05
0
M_rl5p_c -0.00035 -0.00036
0
M_gnt_c 6e-05 6e-05
0
M_glo_c 7e-05 7e-05
0
M_g1p_c 0.00092 0.00092
0
M_g6p_c 0.00027 0.00027
0
M_f6p_c 0.00034 0.00034
0
M_fbp_c 0.00065 0.00065
0
M_dhap_c 0.00037 0.00037
0
M_g3p_c 0.0004 0.0004
0
M_3go_c 0.00032 0.00032
0
M_3ga_c 0.00013 0.00013
0
M_2ga_c 0.00015 0.00015
0
M_pep_c 0.00021 0.00021
0
M_pyr_c 4e-05 4e-05
0
M_accoa_c 0.04784 0.0479 8e-05
M_acp_c 0.00025 0.00025
0
M_ac_c 2e-05 2e-05
0
M_actl_c 0.00016 0.00016
0
M_act_c 0.0001 0.0001
0
M_lct_c 0.00021 0.00021
0
M_6pg_c -9e-05 -9e-05
0
M_ru5p_c -0.00036 -0.00036
0
M_r5p_c -0.00035 -0.00035
0
M_x5p_c -0.00035 -0.00036
0
M_e4p_c
0
0
0
M_s7p_c -0.00038 -0.00038
0
M_prpp_c 0.00045 0.00045
0
M_prph3_c 0.00122 0.00123
0
M_prpgly_c 0.00148 0.00148
0
M_metprpgly_c 0.0048 0.0048 1e-05
M_metprpglyp_c 0.00788 0.00789 1e-05
M_air_c 0.00839 0.0084 1e-05
M_metprpglypp2_c 0.00898 0.00899 1e-05
M_metprpglypp2p_c 0.01164 0.01165 2e-05
M_asucc_c 0.02103 0.02106 3e-05
M_carboasp_c 0.00324 0.00324 1e-05
M_dioro_c 0.00388 0.00389 1e-05
M_oro_c 0.00383 0.00384 1e-05
M_oro5p_c 0.00427 0.00427 1e-05
M_oaa_c 0.00076 0.00076
0
M_akg_c 0.00189 0.00189
0
M_cit_c 0.00125 0.00125
0
M_icit_c 0.00149 0.00149
0
M_sucoa_c 0.04937 0.04943 8e-05
M_succ_c 0.00148 0.00149
0
M_fum_c 0.0002 0.0002
0
M_mal_c 0.00027 0.00027
0
M_asul_c 0.02342 0.02345 4e-05
M_asul3p_c 0.02393 0.02396 4e-05
M_sulfi_c 0.00524 0.00524 1e-05
M_h2s_c 0.00902 0.00904 1e-05
M_homocys_c 0.01603 0.01605 3e-05
M_cysta_c 0.01564 0.01566 3e-05
M_oah_c 0.00413 0.00413 1e-05
M_sam_c 0.07492 0.07501 0.00012
M_sah_c 0.02823 0.02826 5e-05
M_srh_c 0.01581 0.01583 3e-05
M_prppatp_c 0.02292 0.02295 4e-05
M_prppampaicar_c 0.0229 0.02293 4e-05
M_prppaicar_c 0.02298 0.02301 4e-05
M_eigp_c 0.01047 0.01048 2e-05
M_iap_c 0.01057 0.01059 2e-05
M_hisop_c 0.0119 0.01192 2e-05
M_hiso_c 0.01202 0.01203 2e-05
M_hom_c 0.00389 0.0039 1e-05
M_ddah7p_c 0.00437 0.00438 1e-05
M_ddq_c 0.00471 0.00471 1e-05
M_ddshi_c 0.00474 0.00474 1e-05
M_shi_c 0.0052 0.00521 1e-05
M_shi3p_c 0.00553 0.00554 1e-05
M_eshi3p_c 0.00656 0.00657 1e-05
M_cho_c 0.00746 0.00747 1e-05
M_pre_c 0.00755 0.00756 1e-05
M_prepyr_c 0.00766 0.00766 1e-05
M_hprepyr_c 0.00741 0.00741 1e-05
M_asp4p_c 0.00233 0.00233
0
M_asa_c 0.00318 0.00319 1e-05
M_dihydro23_c 0.00341 0.00342 1e-05
M_tetradipico_c 0.0039 0.00391 1e-05
M_aaoxo_c 0.00475 0.00475 1e-05
M_adpl_c 0.00569 0.0057 1e-05
M_dpl_c 0.00575 0.00576 1e-05
M_akb_c 0.0044 0.00441 1e-05
M_akba_c 0.00467 0.00468 1e-05
M_dmet_c 0.00783 0.00784 1e-05
M_diso_c 0.00221 0.00221
0
M_miso2_c 0.00329 0.0033 1e-05
M_miso3_c 0.00367 0.00368 1e-05
M_kiso_c 0.00258 0.00259
0
M_kica_c 0.00493 0.00493 1e-05
M_kmet_c 0.00846 0.00847 1e-05
M_isob_c 0.05175 0.05182 8e-05
M_isov_c 0.05409 0.05416 9e-05
M_kmetbut_c 0.10798 0.10812 0.00018
M_ure_c -0.00204 -0.00204
0
M_glu5p_c 0.00305 0.00306
0
M_pycar_c 0.00375 0.00376 1e-05
M_phpyr_c 0.00022 0.00022
0
M_pser_c 0.00114 0.00114
0
M_phom_c 0.0043 0.0043 1e-05
M_ant_c 0.00815 0.00816 1e-05
M_ppant_c 0.00851 0.00852 1e-05
M_dru5p_c 0.00865 0.00866 1e-05
M_indhap_c 0.00861 0.00862 1e-05
M_ind_c 0.00823 0.00824 1e-05
M_uro_c 0.00278 0.00278
0
M_imi5p_c 0.00278 0.00278
0
M_forglu_c 0.00278 0.00278
0
M_a3oxo_c -0.00091 -0.00091
0
M_namur6p_c 0.0012 0.0012
0
M_udpglcnep_c 0.00847 0.00848 1e-05
M_udpmur_c 0.01032 0.01034 2e-05
M_udpmurala_c 0.01265 0.01267 2e-05
M_udpmurag_c 0.01611 0.01613 3e-05
M_udpmuragm_c 0.02261 0.02264 4e-05
M_udpmuragma_c 0.02722 0.02725 4e-05
M_udpmuragmap_c 0.02288 0.02291 4e-05
M_udpglcnp_c 0.00351 0.00352 1e-05
M_udpglcnm_c 0.00752 0.00753 1e-05
M_udpglcnmg_c 0.01062 0.01063 2e-05
M_udpglcnmg53_c 0.08533 0.08542 0.00013
M_wta1_c 0.17221 0.17238 0.00027
M_ala_c 0.00094 0.00094
0
M_arg_c 0.01218 0.0122 2e-05
M_asn_c 0.0033 0.0033 1e-05
M_asp_c 0.00205 0.00205
0
M_oas_c 0.00144 0.00144
0
M_cys_c 0.01128 0.01129 2e-05
M_gln_c 0.00313 0.00313 1e-05
M_glu_c 0.00276 0.00277
0
M_gly_c -0.0011 -0.0011
0
M_his_c 0.01187 0.01188 2e-05
M_ile_c 0.00935 0.00936 2e-05
M_leu_c 0.00582 0.00583 1e-05
M_lys_c 0.00601 0.00602 1e-05
M_met_c 0.03446 0.0345 6e-05
M_phe_c 0.00915 0.00916 1e-05
M_pro_c 0.00418 0.00419 1e-05
M_ser_c 0.00125 0.00125
0
M_thr_c 0.00625 0.00626 1e-05
M_trp_c 0.00958 0.00959 2e-05
M_tyr_c 0.00944 0.00945 1e-05
M_val_c 0.00347 0.00348 1e-05
M_macoa_c 0.04955 0.04962 8e-05
M_s14_c 0.02746 0.0275 5e-05
M_s16_c 0.0302 0.03024 5e-05
M_s18_c 0.03294 0.03298 6e-05
M_eiso14_c 0.02863 0.02867 5e-05
M_eiso16_c 0.03137 0.03141 5e-05
M_oiso15_c 0.03097 0.03101 5e-05
M_oiso17_c 0.03371 0.03375 6e-05
M_aiso15_c 0.08447 0.08458 0.00015
M_aiso17_c 0.08721 0.08733 0.00015
M_bcfa_c 0.05887 0.05895 0.0001
M_gro3p_c 0.00095 0.00095
0
M_bcfap_c 0.05904 0.05912 0.0001
M_bcfa3p_c 0.0602 0.06028 0.0001
M_ppa_c 0.11898 0.11915 0.0002
M_cdpdgly_c 0.12523 0.1254 0.00021
M_pgro3p_c 0.12209 0.12225 0.00021
M_dacgly_c 0.11926 0.11943 0.0002
M_1gdg_c 0.12164 0.1218 0.00021
M_2gdg_c 0.12402 0.12418 0.00021
M_3gdg_c 0.12639 0.12656 0.00022
M_ps_c 0.12221 0.12237 0.00021
M_pe_c 0.12236 0.12253 0.00021
M_pgo_c 0.12243 0.12259 0.00021
M_cl_c 0.24524 0.24557 0.00042
M_lyspg_c 1.31501 1.31664 0.00214
M_gn1p_c 0.00177 0.00178
0
M_udpglcn_c 0.0078 0.00781 1e-05
M_pgin_c 0.02576 0.02579 4e-05
M_udpmann_c 0.00845 0.00846 1e-05
M_udpglc_c 0.00699 0.00699 1e-05
M_wtain_c 0.21706 0.21729 0.00035
M_cdpgro_c 0.00696 0.00697 1e-05
M_pgout_c 0.02601 0.02604 4e-05
M_wtaout_c 0.21842 0.21865 0.00035
M_mdpl_c 0.00578 0.00579 1e-05
M_dglu_c 0.00285 0.00286
0
M_dala_c 0.0019 0.0019
0
M_dala2_c 0.00357 0.00358 1e-05
M_ac_glu_c
0
0
0
M_ac_glup_c 0.00031 0.00031
0
M_ac_gluph_c 0.00094 0.00095
0
M_ac_orn_c 0.00247 0.00247
0
M_orn_c 0.00565 0.00566 1e-05
M_carbop_c 0.00112 0.00112
0
M_ctr_c 0.0073 0.00731 1e-05
M_argsucc_c 0.01149 0.0115 2e-05
M_aicar_c 0.01306 0.01307 2e-05
M_imp_c 0.01812 0.01814 3e-05
M_xmp_c 0.02134 0.02137 3e-05
M_dcdp_c 0.00957 0.00958 2e-05
M_dadp_c 0.02636 0.02639 4e-05
M_dgdp_c 0.02957 0.0296 5e-05
M_dudp_c 0.00869 0.0087 1e-05
M_dump_c 0.00945 0.00946 2e-05
M_dcmp_c 0.00945 0.00946 2e-05
M_dtmp_c 0.01341 0.01343 2e-05
M_dtdp_c 0.01374 0.01376 2e-05
M_datp_c 0.0312 0.03124 5e-05
M_dgtp_c 0.03549 0.03553 6e-05
M_dctp_c 0.01549 0.01551 2e-05
M_dttp_c 0.01857 0.01859 3e-05
M_thiored_c
0
0
0
M_thiox_c -0.0028 -0.0028
0
M_nadh_c 0.02837 0.0284 5e-05
M_o2_c
0
0
0
M_nh3_c
0
0
0
M_sul_c 6e-05 6e-05
0
M_co2_c
0
0
0
M_hco3_c 8e-05 8e-05
0
M_x1_c 0.02621 0.02625 4e-05
M_form_c 1e-05 1e-05
0
M_x2_c 0.02651 0.02654 4e-05
M_x3_c 0.02669 0.02672 4e-05
M_x4_c 0.02732 0.02736 4e-05
M_dcho_c 0.00858 0.00859 1e-05
M_abzo_c 0.00895 0.00896 1e-05
M_dhpte_c 0.03599 0.03604 6e-05
M_dhf_c 0.03955 0.0396 6e-05
M_thf_c 0.04001 0.04006 6e-05
M_10mthf_c 0.04348 0.04353 7e-05
M_10lthf_c 0.04308 0.04314 7e-05
M_5mthf_c 0.04484 0.04489 7e-05
M_icho_c 0.00792 0.00793 1e-05
M_shchc_c 0.01036 0.01038 2e-05
M_sbz_c 0.01081 0.01082 2e-05
M_sbzcoa_c 0.05949 0.05956 0.0001
M_hsbzcoa_c 0.05976 0.05983 0.0001
M_hsbz_c 0.0125 0.01252 2e-05
M_hepta2p_c 0.06338 0.06346 0.0001
M_2mmq_c 0.07586 0.07595 0.00012
M_mmqh2_c 0.1235 0.12365 0.0002
M_dx5p_c 0.0011 0.0011
0
M_2me4p_c 0.00198 0.00198
0
M_4cme_c 0.00823 0.00824 1e-05
M_p4cme_c 0.00889 0.0089 1e-05
M_2me4c_c 0.00457 0.00457 1e-05
M_hmb4p_c 0.0078 0.00781 1e-05
M_isopn2p_c 0.0086 0.00861 1e-05
M_dmapp_c 0.00901 0.00902 1e-05
M_gn2p_c 0.01786 0.01788 3e-05
M_fn2p_c 0.0267 0.02673 4e-05
M_ggn2p_c 0.03587 0.03591 6e-05
M_pendp_c 0.04504 0.04509 7e-05
M_hexa2p_c 0.05421 0.05428 9e-05
M_hpan_c 0.0064 0.00641 1e-05
M_pan_c 0.00719 0.00719 1e-05
M_bala_c 0.00217 0.00218
0
M_pantt_c 0.01023 0.01024 2e-05
M_ppantt_c 0.01086 0.01088 2e-05
M_ppanttcys_c 0.02404 0.02406 4e-05
M_pan4p_c 0.02445 0.02448 4e-05
M_dcoa_c 0.04709 0.04715 8e-05
M_iasp_c 0.00326 0.00326 1e-05
M_h2o2_c -0.00054 -0.00054
0
M_qnl_c 0.00405 0.00406 1e-05
M_nrn_c 0.00462 0.00462 1e-05
M_dnad_c 0.02729 0.02732 4e-05
M_drp_c 0.02631 0.02635 4e-05
M_dhbp_c 0.00016 0.00016
0
M_drpn_c 0.02668 0.02672 4e-05
M_drpnh_c 0.02753 0.02757 4e-05
M_drmm_c 0.02781 0.02785 5e-05
M_drym_c 0.02816 0.0282 5e-05
M_ribf_c 0.02879 0.02883 5e-05
M_glta_c 1.17189 1.17333 0.00189
M_all_c 1.17239 1.17382 0.0019
M_porbng_c 2.34523 2.3481 0.00379
M_uropp1_c 9.38131 9.39279 0.01517
M_uropp3_c 9.38164 9.39312 0.01517
M_pcr2_c 9.47545 9.48705 0.01532
M_sclr_c 9.4755 9.4871 0.01532
M_coopp3_c 9.38251 9.39399 0.01517
M_propng9_c 9.38309 9.39458 0.01517
M_proppg9_c 9.38363 9.39512 0.01517
M_hemeo_c 9.41322 9.42474 0.01522
M_cytc_c
0
0
0
M_cytcr_c 6e-05 6e-05
0
M_no3_c
0
0
0
M_no2_c
0
0
0
M_ade_c 0.0127 0.01272 2e-05
M_gua_c 0.01827 0.01829 3e-05
M_hxth_c 0.01142 0.01144 2e-05
M_xth_c 0.01125 0.01127 2e-05
M_ura_c 0.00043 0.00043
0
M_ado_c 0.01234 0.01235 2e-05
M_ino_c 0.01105 0.01107 2e-05
M_cto_c 0.00043 0.00043
0
M_guo_c 0.0179 0.01792 3e-05
M_dado_c 0.00794 0.00795 2e-05
M_uri_c 6e-05 6e-05
0
M_cti_c 6e-05 6e-05
0
M_thy_c 0.01327 0.01329 2e-05
M_dguo_c 0.01839 0.01841 3e-05
M_urt_c 0.01108 0.0111 2e-05
M_dcyt_c 0.00914 0.00915 1e-05
M_dr1p_c 0.00014 0.00014
0
M_r1p_c -0.00035 -0.00035
0
M_dino_c 0.01154 0.01156 2e-05
M_dr5p_c 0.00014 0.00014
0
M_aldy_c -0.00026 -0.00026
0
M_dthy_c 0.0134 0.01341 2e-05
M_duri_c 0.00055 0.00055
0
M_dcti_c 0.00944 0.00945 2e-05
M_dgmp_c 0.02926 0.02929 5e-05
M_damp_c 0.0163 0.01632 3e-05
M_aloi_c 0.01108 0.0111 2e-05
M_aloa_c 0.01114 0.01116 2e-05
M_ugly_c 0.01102 0.01104 2e-05
M_glyx_c 0.01306 0.01308 2e-05
M_oxa_c 0.01295 0.01296 2e-05
M_dsam_c 0.08199 0.08209 0.00013
M_mta_c -0.06748 -0.06756 -0.0001
M_mtr_c -0.06889 -0.06898 -0.0001
M_mtr1p_c -0.05051 -0.05057 -7e-05
M_mtru1p_c -0.0342 -0.03424 -5e-05
M_5mp1p_c -0.02383 -0.02386 -3e-05
M_3mp1p_c -0.00547 -0.00548
0
M_5mtp_c 0.00627 0.00628 1e-05
M_4mtb_c 0.01554 0.01556 3e-05
M_agm_c 0.01509 0.01511 2e-05
M_thiscooh_c
0
0
0
M_thiscoamp_c 0.02282 0.02285 4e-05
M_thiscoas_c 0.03363 0.03368 5e-05
M_thigdxp_c 0.00142 0.00142
0
M_thisgxp_c 0.03505 0.03509 6e-05
M_thisgxp2_c 0.03505 0.03509 6e-05
M_thisgxp3_c 0.03505 0.03509 6e-05
M_thige_c 0.03505 0.03509 6e-05
M_igly_c -0.00011 -0.00011
0
M_thzp_c 0.03494 0.03498 6e-05
M_hmmp_c 0.00906 0.00907 1e-05
M_hmmpp_c 0.0097 0.00971 2e-05
M_hmpp_c 0.01035 0.01036 2e-05
M_tp_c 0.04539 0.04545 7e-05
M_thi_c 0.04545 0.04551 7e-05
M_fol_c 0.03913 0.03918 6e-05
M_nia_c 0.00435 0.00435 1e-05
M_pim_c 0.05964 0.05972 0.0001
M_pimcoa_c 0.10808 0.10822 0.00018
M_kapg_c 0.06176 0.06184 0.00011
M_alarg_c 0.1372 0.13738 0.00023
M_dbio_c 0.13791 0.13809 0.00023
M_s_c 0.0056 0.00561 1e-05
M_hhbenz_c 0.00788 0.00789 1e-05
M_hbenz_c
0
0
0
M_bb_c 0.01892 0.01894 3e-05
M_febb_c 0.01927 0.01929 3e-05
M_mbb_c 0.00479 0.0048 1e-05
M_fe3_c 0.00175 0.00175
0
M_na_c -6e-05 -6e-05
0
M_o2m_c -0.00115 -0.00115
0
M_nacgn1p_c 0.00226 0.00226
0
M_undpp_c
0
0
0
M_undp_c -2e-05 -2e-05
0
M_aaacp_c 0.00013 0.00013
0
M_aacp_c 0.00031 0.00031
0
M_pap_c 0.0216 0.02163 3e-05
M_hisa_c 0.01194 0.01196 2e-05
M_tala_c 1.18663 1.18808 0.00192
M_targ_c 1.19887 1.20034 0.00194
M_tasn_c 1.18926 1.19072 0.00192
M_tasp_c 1.18807 1.18952 0.00192
M_tcys_c 1.17924 1.18069 0.00191
M_tgln_c 1.17393 1.17537 0.0019
M_tglu_c 1.17095 1.17238 0.00189
M_tgly_c 1.18462 1.18607 0.00192
M_this_c 1.19759 1.19905 0.00194
M_tile_c 1.19625 1.19771 0.00193
M_tleu_c 1.17477 1.17621 0.0019
M_tlys_c 1.19223 1.19369 0.00193
M_tmet_c 1.22102 1.22252 0.00198
M_tphe_c 1.19651 1.19797 0.00193
M_tpro_c 1.19001 1.19147 0.00192
M_tser_c 1.18679 1.18825 0.00192
M_tthr_c 1.1745 1.17594 0.0019
M_ttrp_c 1.19498 1.19644 0.00193
M_ttyr_c 1.19575 1.19721 0.00193
M_tval_c 1.18932 1.19078 0.00192
M_tfmet_c 1.22714 1.22865 0.00199
M_py5p_c 0.00374 0.00374 1e-05
M_fmn_c 0.02948 0.02952 5e-05
M_fad_c 0.05228 0.05235 8e-05
M_hemea_c 9.41354 9.42506 0.01522
M_hemeb_c 9.38632 9.39781 0.01518
M_hemec_c
0
0
0
M_hemed_c 9.38644 9.39793 0.01518
M_sheme_c 9.47813 9.48974 0.01532
M_tpp_c 0.04609 0.04615 7e-05
M_bio_c 0.22489 0.22518 0.00037
M_mg2_c 0.00261 0.00261
0
M_fe2_c 0.00219 0.0022
0
M_mn2_c 0.00035 0.00035
0
M_cu2_c 2e-05 2e-05
0
M_zn2_c 0.00351 0.00351 1e-05
M_ca2_c 0.00676 0.00676 1e-05
M_h2o_c
0
0
0
M_atp_c 0.02254 0.02256 4e-05
M_gtp_c 0.02591 0.02595 4e-05
M_utp_c 0.00541 0.00542 1e-05
M_ctp_c 0.00608 0.00608 1e-05
M_fmet_c 0.03439 0.03443 6e-05
M_trna_c 1.18464 1.18609 0.00192
M_trna2_c 1.16715 1.16858 0.00189
M_h_c -6e-05 -6e-05
0
M_gdp_c 0.0256 0.02563 4e-05
M_p_c 8e-05 8e-05
0
M_pp_c 0.00012 0.00012
0
M_fthf_c 0.04323 0.04328 7e-05
M_mmq_c 0.12333 0.12348 0.00019
M_coa_c 0.04766 0.04771 8e-05
M_nad_c 0.02814 0.02818 5e-05
M_nadp_c 0.02878 0.02882 5e-05
M_nadph_c 0.02926 0.0293 5e-05
M_k_c 2e-05 2e-05
0
M_put_c 0.01853 0.01855 3e-05
M_sprm_c 0.18142 0.18165 0.00028
M_adp_c 0.02223 0.02225 4e-05
M_cdp_c 0.00561 0.00561 1e-05
M_udp_c 0.00499 0.005 1e-05
M_amp_c 0.0219 0.02193 4e-05
M_gmp_c 0.0252 0.02523 4e-05
M_cmp_c 0.00454 0.00454 1e-05
M_ump_c 0.00465 0.00465 1e-05