# Model Mathematics

### Component: stimulus_current

$Istim=stimCurrentiftimemodstimPeriod

### Component: one_ion

$reversal_potential=R⁢Tz⁢F⁢ln⁡extracellular_concentrationintracellular_concentration$

### Component: two_ions

$reversal_potential=R⁢Tz⁢F⁢ln⁡multiplier_1⁢extracellular_concentration_1+multiplier_2⁢extracellular_concentration_2multiplier_1⁢intracellular_concentration_1+multiplier_2⁢intracellular_concentration_2$

### Component: one_ion

$reversal_potential=R⁢Tz⁢F⁢ln⁡extracellular_concentrationintracellular_concentration$

### Component: two_ions

$reversal_potential=R⁢Tz⁢F⁢ln⁡multiplier_1⁢extracellular_concentration_1+multiplier_2⁢extracellular_concentration_2multiplier_1⁢intracellular_concentration_1+multiplier_2⁢intracellular_concentration_2$

### Component: one_ion

$reversal_potential=R⁢Tz⁢F⁢ln⁡extracellular_concentrationintracellular_concentration$

### Component: two_ions

$reversal_potential=R⁢Tz⁢F⁢ln⁡multiplier_1⁢extracellular_concentration_1+multiplier_2⁢extracellular_concentration_2multiplier_1⁢intracellular_concentration_1+multiplier_2⁢intracellular_concentration_2$

### Component: one_ion

$reversal_potential=R⁢Tz⁢F⁢ln⁡extracellular_concentrationintracellular_concentration$

### Component: two_ions

$reversal_potential=R⁢Tz⁢F⁢ln⁡multiplier_1⁢extracellular_concentration_1+multiplier_2⁢extracellular_concentration_2multiplier_1⁢intracellular_concentration_1+multiplier_2⁢intracellular_concentration_2$

### Component: computed_constants

$Vtotal=Vmyo+VJSR+VNSR+VSS0.64$$Vmito=Vtotal⁢0.36$$f_01=3.0⁢f_xb$$f_12=10.0⁢f_xb$$f_23=7.0⁢f_xb$$g0_01=1.0⁢gmin_xb$$g0_12=2.0⁢gmin_xb$$g0_23=3.0⁢gmin_xb$$paths=g0_01⁢g0_12⁢g0_23+f_01⁢g0_12⁢g0_23+f_01⁢f_12⁢g0_23+f_01⁢f_12⁢f_23$$P1max=f_01⁢2.0⁢gmin_xb⁢3.0⁢gmin_xbpaths$$P2max=f_01⁢f_12⁢3.0⁢gmin_xbpaths$$P3max=f_01⁢f_12⁢f_23paths$$Fmax=P1max+2.0⁢P2max+3.0⁢P3max$$fnormmax=Fmax3.0$$SLnorm=SL-1.70.6$$Ktrop_Ca=kltrpn_minuskltrpn_plus$$Ktrop_half=1.01.0+Ktrop_Ca1.71000.0+0.91000.0-1.71000.02.3-1.7⁢SL-1.7$$Ntrop=3.5⁢SL-2.0$$fnormmax2=P1max+P2max+P3max$$La=1.0$$Lm_prime=1.5$$Lz=0.1$$Lb=0.1$$Lm=Lm_prime-Lb$$mod_factor=1.0+2.3-SL2.3-1.71.01.6$$alpha_SL=min{1.0SL-2.0⁢La+Lm_prime-LzLm}ifSL<2.21.0-SL-2.2Lmotherwise$$g_01_mod=g0_01⁢mod_factor$$g_12_mod=g0_12⁢mod_factor$$g_23_mod=g0_23⁢mod_factor$$g_01_off=30.01000.0$$g_01_off_mod=g_01_off⁢mod_factor$$RT_over_F=R⁢TFaraday$$G_Ks=0.282⁢Ko5.4$$G_K1=0.75⁢Ko5.4$$inv_5p98=1.05.98$$FaradayE3=1000.0⁢Faraday$$Cao_341=Cao⁢341.0$$ICamax_LHospital=2.0⁢PCa⁢1000.0⁢Faraday⁢1.0-341.0⁢Cao$$Pca_4En3=4.0⁢1.0e-3⁢PCa$$F_over_RT=1.0RT_over_F$$inv_ICahalf=1.0ICahalf$$PKFe3=FaradayE3⁢PK$$sigma=0.0365⁢ⅇNao67.3-1.07.0$$inv_KmNai=1.0KmNai$$INaKmax_Ko_Ko_KmKo=INaKmax⁢KoKo+KmKo$$inv_Ki1AD_NaK=1.0Ki1AD_NaK$$eta_1=eta-1.0$$Nao_p3=Nao3.0Cao$$KmCa_Cao=KmCa+Cao⁢KmNa3.0+Nao3.0kNaCa⁢Cao$$KmCa_Cao_ksat=KmCa_Cao⁢ksat$$inv_KiADP_CaP=1.0KiADP_CaP$$KmnsCa_p3=KmnsCa3.0$$V_AM_scaler_max_1_f_01_12_23=V_AM_scaler⁢V_AM_maxf_01+f_12+f_23$$KmATP_AM_Ki_AM=KmATP_AMKi_AM$$DmuH_Constant=-2.303⁢RT_over_F⁢DpH$$VCS_C1=KCS⁢EtCS⁢AcCoAKmAcCoA+AcCoA$$one_inv_KACOeq=1.0+1.0KACOeq$$VIDH_Constant=1.0+Hkh_1+kh_2H$$kIDH_EtID=kIDH⁢EtID$$inv_KADP=1.0KADP$$inv_KaCa=1.0KaCa$$inv_KidhNADH=1.0KidhNADH$$KmKGNAD_KmIDNAD=KmKGNADKmIDNAD$$Mg_Kmg_1=MgKmg+1.0$$Mg_Kmg_1_Kca=Mg_Kmg_1Kca$$kKGDH_EtKG=kKGDH⁢EtKG$$CoA_KSLeq=CoAKSLeq$$kSDH_EtSDH=kSDH⁢EtSDH$$KmSucc_KiFUM=KmSuccKiFUM$$inv_KiOxaa=1.0KiOxaa$$kfFH_KFHeq=kfFHKFHeq$$kMDH_Fh_EtMD=1.01.0+Kh3H+Kh3⁢Kh4H2.02.0⁢1.01.0+HKh1+H2.0Kh1⁢Kh2+Koff⁢kMDH⁢EtMD$$Kmal_Kioaa=KmalKioaa$$VAAT_Constant=kfAAT⁢GLU⁢kcnsASP⁢KAATeqkfAAT$$kcnsASP_KAATeq_kfAAT=kcnsASP⁢KAATeqkfAAT$$KfAAT_GLU=kfAAT⁢GLU$$KfAAT_KAATeq=kfAATKAATeq$$kres_sq_KmIDNAD=kres⁢kresKmIDNAD$$exp_6_FRT_Dpsio=ⅇ6.0⁢Dpsio⁢F_over_RT$$FRT_6_g=6.0⁢g⁢F_over_RT$$ra_rc1_exp_6_FRT_Dpsio=ra+rc1⁢exp_6_FRT_Dpsio$$r1_exp_6_FRT_Dpsio=r1⁢exp_6_FRT_Dpsio$$rhoREN_ra_rc1_exp_6_FRT_Dpsio=0.5⁢rhoREN⁢ra_rc1_exp_6_FRT_Dpsio$$rhoREN_rc2=0.5⁢rhoREN⁢rc2$$rhoREN_ra=0.5⁢rhoREN⁢ra$$rhoRen_6_ra=6.0⁢rhoREN⁢ra$$rhoRen_6_ra_rb=6.0⁢rhoREN⁢ra+rb$$AREF=RT_over_F⁢log10⁡kresf⁢FADH2FAD$$exp_AREF_FRT=ⅇAREF⁢F_over_RT$$ra_rc2_exp_AREF_FRT=0.5⁢ra+rc2⁢exp_AREF_FRT$$VFO_C1=ra+rc1⁢exp_6_FRT_Dpsio⁢exp_AREF_FRT⁢0.5$$ra_exp_AREF_FRT=4.0⁢ra⁢exp_AREF_FRT$$ra_rb=4.0⁢ra+rb$$VFO_VHFe_C1=1.0+r1⁢exp_AREF_FRT⁢exp_6_FRT_Dpsio$$r2_r3_exp_AREF_FRT=r2+r3⁢exp_AREF_FRT$$exp_3_FRT_Dpsio=ⅇ3.0⁢Dpsio⁢F_over_RT$$FRT_3=3.0⁢F_over_RT$$kf1_Pi=kf1Pi$$VATPase_C1=100.0⁢pa+pc1⁢exp_3_FRT_Dpsio$$pa_pb_3=3.0⁢pa+pb$$pa_300=300.0⁢pa$$p1_exp_3_FRT_Dpsio=p1⁢exp_3_FRT_Dpsio$$hm_F_over_RT=hm⁢F_over_RT$$VmDT_75=0.75⁢VmDT$$VmDT_20=20.0⁢VmDT$$inv_Kfb=1.0Kfb$$inv_Krb=1.0Krb$$inv_tautr=1.0tautr$$inv_tauxfer=1.0tauxfer$$KmATP_SR_Ki_SR=KmATP_SRKi_SR$$inv_Ki_prime_SR=1.0Ki_prime_SR$$alpha_SL_fnormmax2=alpha_SLfnormmax2$$alpha_SL_fnormmax=alpha_SLfnormmax⁢3.0$$inv_LTRPNtot_Ktrop_half=1.0LTRPNtot⁢Ktrop_half$$kTrop_pn_f_01=-kTrop_pn-f_01$$kTrop_pn_f_12_g_01_mod=-kTrop_pn+f_12+g_01_mod$$f_23_g_12_mod=-f_23+g_12_mod$$CMDNtot_KmCMDN=CMDNtot⁢KmCMDN$$CSQNtot_KmCSQN=CSQNtot⁢KmCSQN$$inv_ktrans=1.0ktrans$$inv_kact=1.0kact$$Vmuni_ktrans=Vmuniktrans$$FRT2=2.0⁢F_over_RT$$b_05=b⁢0.5$$Acap_Vmyo_F=AcapVmyo⁢Faraday⁢1000.0$$Acap_VSS_F=Acap2.0⁢VSS⁢Faraday⁢1000.0$$VJSR_VSS=VJSRVSS$$Vmyo_VSS=VmyoVSS$$Vmyo_VNSR=VmyoVNSR$$VJSR_VNSR=VJSRVNSR$$inv_C_m=1.0C_m$$inv_bL=1.0bL$$inv_Cmito=1.0Cmito$$two_b=2.0⁢b$$inv_keq=1.0keq$$zeta_alpha_SL_fnormmax=zeta⁢alpha_SL_fnormmax$

### Component: model

$ADP=8.0-ATPi$$inv_ATPi=1.0ATPi$$VF_over_RT=V⁢F_over_RT$$exp_VF_over_RT=ⅇVF_over_RT$$VFsq_over_RT=FaradayE3⁢VF_over_RT$$exp2VFRT=exp_VF_over_RT⁢exp_VF_over_RT$$O1_RyR=1.0-C1_RyR+C2_RyR+O2_RyR$$V_30=V+30.0$$V_E_K=V-E_K$$INa=G_Na⁢mNa⁢mNa⁢mNa⁢hNa⁢jNa⁢V-E_Na$$IKs=G_Ks⁢xKs⁢xKs⁢V-E_Ks1.0+ⅇV-40.040.0$$K1Alpha=1.021.0+ⅇ0.2385⁢V_E_K-59.215$$K1Beta=0.4912⁢ⅇ0.08032⁢V_E_K+5.476+ⅇ0.06175⁢V_E_K-594.311.0+ⅇ-0.5143⁢V-E_K+4.753$$K1_inf=K1AlphaK1Alpha+K1Beta$$IK1=G_K1⁢K1_inf⁢V_E_K$$INab=G_Nab⁢V-E_Na$$IKp=G_Kp⁢V_E_K1.0+ⅇ7.488-V⁢inv_5p98$$ICamax=Pca_4En3⁢exp2VFRT-Cao_341⁢0.5-0.02⁢Vif|V|$ICaK=PKFe3⁢Open+OCa⁢yCa⁢Ki⁢exp2VFRT-Ko⁢0.5-0.02⁢V1.0+ICamax⁢inv_ICahalfif|V|$ICa=6.0⁢ICamax⁢yCa⁢Open$$NaiP1p5=Nai⁢Nai⁢Nai$$INaK=INaKmax_Ko_Ko_KmKo⁢NaiP1p5NaiP1p5+KmNai⁢KmNai⁢KmNai⁢1.0+0.1245⁢ⅇ-0.1⁢VF_over_RT+sigmaexp_VF_over_RT⁢1.0+Km1AT_NaK⁢inv_ATPi⁢1.0+ADP⁢inv_Ki1AD_NaK$$exp_eta_VF_over_RT=ⅇeta⁢VF_over_RT$$exp_eta1_VF_over_RT=exp_eta_VF_over_RTexp_VF_over_RT$$INaCa=exp_eta_VF_over_RT⁢Nai⁢Nai⁢Nai-exp_eta1_VF_over_RT⁢Nao_p3⁢CaiKmCa_Cao+KmCa_Cao_ksat⁢exp_eta1_VF_over_RT$$ICab=G_Cab⁢V-E_Ca$$IpCa=IpCamax⁢CaiKmpCa+Cai⁢1.01.0+Km1ATP_CaP⁢inv_ATPi⁢1.0+ADP⁢inv_KiADP_CaP+1.01.0+Km2ATP_CaP⁢inv_ATPi$$CaiP3=Cai⁢Cai⁢Cai$$common=0.75⁢CaiP3⁢1.0-0.02⁢VCaiP3+KmnsCa_p3if|V|$InsNa=PnsNa⁢common⁢Nai⁢exp_VF_over_RT-Nao$$InsK=PnsK⁢common⁢Ki⁢exp_VF_over_RT-Ko$$InsCa=InsNa+InsK$$V_AM=V_AM_scaler_max_1_f_01_12_23⁢f_01⁢P0+f_12⁢P1+f_23⁢P21.0+inv_ATPi⁢KmATP_AM+KmATP_AM_Ki_AM⁢ADP$$ATPm=Cm-ADPm$$DmuH=DmuH_Constant+Dpsi$$NAD=CPN-NADH$$KmIDNAD_NAD=KmIDNADNAD$$exp_FRT_6_g_DmuH=ⅇFRT_6_g⁢DmuH$$FRT2_Dpsi=FRT2⁢Dpsi-91.0$$VCS=VCS_C1⁢OaaOaa+KmOaa$$VACO=kfACO⁢CIK-AKG+SCoA+Succ+FUM+MAL+Oaa+ISOC⁢one_inv_KACOeq$$Fa=1.01.0+ADPm⁢inv_KADP⁢1.0+Cam⁢inv_KaCa$$Fi=1.0+NADH⁢inv_KidhNADH$$VIDH=kIDH_EtIDVIDH_Constant+KmIDNAD_NAD⁢Fi+KmisoISOCnID⁢Fa⁢1.0+KmIDNAD_NAD⁢Fi$$a__1=Mg_Kmg_1+Mg_Kmg_1_Kca⁢Cam$$VKGDH=kKGDH_EtKG⁢a__1a__1+KmKGAKGnKG+KmKGNAD_KmIDNAD⁢KmIDNAD_NAD$$VSL=kfSL⁢SCoA⁢ADPm-CoA_KSLeq⁢Succ⁢ATPm$$VSDH=kSDH_EtSDH⁢SuccSucc+KmSucc+KmSucc_KiFUM⁢FUM⁢1.0+inv_KiOxaa⁢Oaa$$VFH=kfFH⁢FUM-kfFH_KFHeq⁢MAL$$VMDH=kMDH_Fh_EtMD⁢MAL⁢NADMAL+Kmal+Oaa⁢Kmal_Kioaa⁢KmmNAD+NAD$$VAAT=VAAT_Constant⁢OaakcnsASP_KAATeq_kfAAT+AKG$$AREN=NADH⁢kres_sq_KmIDNAD⁢KmIDNAD_NAD$$denominator1=1.0exp_6_FRT_Dpsio+r1_exp_6_FRT_Dpsio⁢AREN+r2+r3⁢AREN⁢exp_FRT_6_g_DmuH$$VNO=rhoREN_ra_rc1_exp_6_FRT_Dpsio+rhoREN_rc2⁢exp_FRT_6_g_DmuH⁢AREN-rhoREN_ra⁢exp_FRT_6_g_DmuH⁢denominator1$$VHNe=rhoRen_6_ra⁢AREN-rhoRen_6_ra_rb⁢exp_FRT_6_g_DmuH⁢denominator1$$denominator2=rhoREFVFO_VHFe_C1+r2_r3_exp_AREF_FRT⁢exp_FRT_6_g_DmuH$$VHFe=ra_exp_AREF_FRT-ra_rb⁢exp_FRT_6_g_DmuH⁢denominator2$$exp_3FRT_DmuH=ⅇFRT_3⁢DmuH$$AF1=kf1_Pi⁢ATPmADPm$$denominator3=-rhoF1exp_3_FRT_Dpsio+p1_exp_3_FRT_Dpsio⁢AF1+p2+p3⁢AF1⁢exp_3FRT_DmuH$$VATPase=VATPase_C1+pc2⁢exp_3FRT_DmuH⁢AF1-pa⁢exp_3FRT_DmuH⁢denominator3$$Vhu=pa_300+pa_300⁢AF1-pa_pb_3⁢exp_3FRT_DmuH⁢denominator3$$ATPi_ADP=ATPiADP$$ADPm_ATPm=ADPmATPm$$VANT=VmDT_75-VmDT_20⁢ATPi_ADP⁢ADPm_ATPm⁢ⅇ-F_over_RT⁢Dpsi1.0+10.09.0⁢ATPi_ADP⁢ⅇ-hm_F_over_RT⁢Dpsi⁢1.0+18.0⁢ADPm_ATPm$$Vhleak=gh⁢DmuH$$MAlpha=3.2ifV=-47.130.32⁢V+47.131.0-ⅇ-0.1⁢V+47.13otherwise$$MBeta=0.08⁢ⅇ-V⁢1.011.0$$inv_MBeta_MAlpha=1.0MBeta+MAlpha$$tmNa=MAlpha⁢inv_MBeta_MAlphaifinv_MBeta_MAlpha<0.03mNaotherwise$$HAlpha=0.135⁢ⅇ-80.06.8⁢ⅇ-1.06.8⁢VifV<-40.00.0otherwise$$HBeta=3.56⁢ⅇ0.079⁢V+310000.0⁢ⅇ0.35⁢VifV<-40.01.00.13+0.13⁢ⅇ-10.6611.1⁢ⅇV⁢-1.011.1otherwise$$JAlpha=-127140.0⁢ⅇ0.2444⁢V-3.474e-5⁢ⅇ-0.04391⁢V⁢V+37.781.0+ⅇ0.311⁢V+79.23ifV<-40.00.0otherwise$$JBeta=0.1212⁢ⅇ-0.01052⁢V1.0+ⅇ-0.1378⁢V+40.14ifV<-40.00.3⁢ⅇ-2.535e-7⁢V1.0+ⅇ-0.1⁢V-3.2otherwise$$ddtimemNa=MAlpha⁢1.0-tmNa-MBeta⁢tmNa$$ddtimehNa=HAlpha⁢1.0-hNa-HBeta⁢hNa$$ddtimejNa=JAlpha⁢1.0-jNa-JBeta⁢jNa$$ddtimexKs=7.19e-5⁢V_301.0-ⅇ-0.148⁢V_30⁢1.0-xKs-1.31e-4⁢V_30ⅇ0.0687⁢V_30-1.0⁢xKs$$fb=Cai⁢inv_KfbNfb$$rb=CaNSR⁢inv_KrbNrb$$Jup=KSR⁢vmaxf⁢fb-vmaxr⁢rb1.0+fb+rb⁢inv_ATPi⁢KmATP_SR+ADP⁢KmATP_SR_Ki_SR+1.0+ADP⁢inv_Ki_prime_SR$$Jrel=v1⁢O1_RyR+O2_RyR⁢CaJSR-CaSS$$Jtr=CaNSR-CaJSR⁢inv_tautr$$Jxfer=CaSS-Cai⁢inv_tauxfer$$P1_N1_P2_P3=P1+N1+P2+P3$$FN_Ca=alpha_SL_fnormmax2⁢P1_N1_P2_P3$$force_norm=alpha_SL_fnormmax⁢P1_N1_P2_P3+P2+P3+P3$$force=zeta_alpha_SL_fnormmax⁢P1_N1_P2_P3+P2+P3+P3$$kTrop_np=kTrop_pn⁢LTRPNCa⁢inv_LTRPNtot_Ktrop_halfNtrop$$ddtimeP0=P0_differentialP0_differential=kTrop_pn_f_01⁢P0+kTrop_np⁢N0+g_01_mod⁢P1$$ddtimeP1=P1_differentialP1_differential=kTrop_pn_f_12_g_01_mod⁢P1+kTrop_np⁢N1+f_01⁢P0+g_12_mod⁢P2$$ddtimeP2=P2_differentialP2_differential=f_23_g_12_mod⁢P2+f_12⁢P1+g_23_mod⁢P3$$ddtimeP3=P3_differentialP3_differential=-g_23_mod⁢P3+f_23⁢P2$$ddtimeN1=N1_differentialN1_differential=kTrop_pn⁢P1-kTrop_np+g_01_off_mod⁢N1$$ddtimeN0=-P0_differential-P1_differential+P2_differential+P3_differential+N1_differential$$ddtimeLTRPNCa=LTRPNCa_differentialLTRPNCa_differential=kltrpn_plus⁢Cai⁢LTRPNtot-LTRPNCa-kltrpn_minus⁢LTRPNCa⁢1.0-2.03.0⁢FN_Ca$$ddtimeHTRPNCa=HTRPNCa_differentialHTRPNCa_differential=khtrpn_plus⁢Cai⁢HTRPNtot-HTRPNCa-khtrpn_minus⁢HTRPNCa$$Jtrpn=LTRPNCa_differential+HTRPNCa_differential$$beta_SS=1.01.0+CMDNtot_KmCMDNCaSS+KmCMDN⁢CaSS+KmCMDN$$beta_JSR=1.01.0+CSQNtot_KmCSQNCaJSR+KmCSQN⁢CaJSR+KmCSQN$$beta_i=1.01.0+CMDNtot_KmCMDNCai+KmCMDN⁢Cai+KmCMDN$$Cai_ktrans_plus1=1.0+Cai⁢inv_ktrans$$Cai_ktrans_plus1_p3=Cai_ktrans_plus1⁢Cai_ktrans_plus1⁢Cai_ktrans_plus1$$Vuni=Vmuni_ktrans⁢Cai⁢FRT2_Dpsi⁢Cai_ktrans_plus1_p3Cai_ktrans_plus1_p3⁢Cai_ktrans_plus1+L1.0+Cai⁢inv_kactna⁢1.0-ⅇ-FRT2_Dpsi$$VnaCa=VmNC⁢ⅇb_05⁢FRT2_Dpsi⁢CamCai⁢1.0+KnaNain⁢1.0+KncaCam$$ddtimeNai=-INa+INab+InsNa+3.0⁢INaCa+INaK⁢Acap_Vmyo_F-VnaCa⁢0.615$$ddtimeKi=-InsK+IKs+IK1+IKp+ICaK+Istim-2.0⁢INaK⁢Acap_Vmyo_F$$ddtimeCai=beta_i⁢Jxfer-Jup+Jtrpn+0.25⁢Acap_Vmyo_F⁢ICab-2.0⁢INaCa+IpCa+VnaCa-Vuni⁢0.615$$ddtimeCaSS=beta_SS⁢Jrel⁢VJSR_VSS-Jxfer⁢Vmyo_VSS+ICa⁢Acap_VSS_F$$ddtimeCaJSR=beta_JSR⁢Jtr-Jrel$$ddtimeCaNSR=Jup⁢Vmyo_VNSR-Jtr⁢VJSR_VNSR$$ddtimeV=-inv_C_m⁢INa+ICa+ICaK+IKs+IK1+IKp+INaCa+INaK+InsCa+IpCa+ICab+INab+Istim$$ddtimeC1_RyR=-kaplus⁢CaSSncoop⁢C1_RyR+kaminus⁢O1_RyR$$ddtimeO2_RyR=kbplus⁢CaSSmcoop⁢O1_RyR-kbminus⁢O2_RyR$$ddtimeC2_RyR=kcplus⁢O1_RyR-kcminus⁢C2_RyR$$alpha=0.4⁢ⅇV+2.0⁢0.1$$beta=0.05⁢ⅇV+2.0⁢-1.013.0$$alpha_prime=aL⁢alpha$$beta_prime=beta⁢inv_bL$$C0_to_C1=4.0⁢alpha$$C1_to_C2=3.0⁢alpha$$C2_to_C3=2.0⁢alpha$$C3_to_C4=alpha$$CCa0_to_CCa1=4.0⁢alpha_prime$$CCa1_to_CCa2=3.0⁢alpha_prime$$CCa2_to_CCa3=2.0⁢alpha_prime$$CCa3_to_CCa4=alpha_prime$$C1_to_C0=beta$$C2_to_C1=2.0⁢beta$$C3_to_C2=3.0⁢beta$$C4_to_C3=4.0⁢beta$$CCa1_to_CCa0=beta_prime$$CCa2_to_CCa1=2.0⁢beta_prime$$CCa3_to_CCa2=3.0⁢beta_prime$$CCa4_to_CCa3=4.0⁢beta_prime$$gamma=0.1875⁢CaSS$$C0_to_CCa0=gamma$$C1_to_CCa1=aL⁢C0_to_CCa0$$C2_to_CCa2=aL⁢C1_to_CCa1$$C3_to_CCa3=aL⁢C2_to_CCa2$$C4_to_CCa4=aL⁢C3_to_CCa3$$CCa0_to_C0=omega$$CCa1_to_C1=CCa0_to_C0⁢inv_bL$$CCa2_to_C2=CCa1_to_C1⁢inv_bL$$CCa3_to_C3=CCa2_to_C2⁢inv_bL$$CCa4_to_C4=CCa3_to_C3⁢inv_bL$$ddtimeC0=C1_to_C0⁢C1+CCa0_to_C0⁢CCa0-C0_to_C1+C0_to_CCa0⁢C0$$ddtimeC1=C0_to_C1⁢C0+C2_to_C1⁢C2+CCa1_to_C1⁢CCa1-C1_to_C0+C1_to_C2+C1_to_CCa1⁢C1$$ddtimeC2=C1_to_C2⁢C1+C3_to_C2⁢C3+CCa2_to_C2⁢CCa2-C2_to_C1+C2_to_C3+C2_to_CCa2⁢C2$$ddtimeC3=C2_to_C3⁢C2+C4_to_C3⁢C4+CCa3_to_C3⁢CCa3-C3_to_C2+C3_to_C4+C3_to_CCa3⁢C3$$ddtimeC4=C3_to_C4⁢C3+gL⁢Open+CCa4_to_C4⁢CCa4-C4_to_C3+fL+C4_to_CCa4⁢C4$$ddtimeOpen=fL⁢C4-gL⁢Open$$ddtimeCCa0=CCa1_to_CCa0⁢CCa1+C0_to_CCa0⁢C0-CCa0_to_CCa1+CCa0_to_C0⁢CCa0$$ddtimeCCa1=CCa0_to_CCa1⁢CCa0+CCa2_to_CCa1⁢CCa2+C1_to_CCa1⁢C1-CCa1_to_CCa0+CCa1_to_CCa2+CCa1_to_C1⁢CCa1$$ddtimeCCa2=CCa1_to_CCa2⁢CCa1+CCa3_to_CCa2⁢CCa3+C2_to_CCa2⁢C2-CCa2_to_CCa1+CCa2_to_CCa3+CCa2_to_C2⁢CCa2$$ddtimeCCa3=CCa2_to_CCa3⁢CCa2+CCa4_to_CCa3⁢CCa4+C3_to_CCa3⁢C3-CCa3_to_CCa2+CCa3_to_CCa4+CCa3_to_C3⁢CCa3$$ddtimeCCa4=CCa3_to_CCa4⁢CCa3+gprime⁢OCa+C4_to_CCa4⁢C4-CCa4_to_CCa3+fprime+CCa4_to_C4⁢CCa4$$ddtimeyCa=1.01.0+ⅇV+55.0⁢1.07.5+0.51.0+ⅇ21.0-V⁢1.06.0-yCa20.0+600.01.0+ⅇV+30.0⁢1.09.5$$ddtimeOCa=fprime⁢CCa4-gprime⁢OCa$$Vt_CRP2=kt_2⁢CrPi_mito-CrPi_cyto$$VCK_cyto=kf_2⁢CRT_cyto-CrPi_cyto⁢ATPi_cyto-CrPi_cyto⁢8.0-ATPi_cyto⁢inv_keq$$VCK_mito=kf_3⁢CRT_mito-CrPi_mito⁢ATPi-CrPi_mito⁢ADP⁢inv_keq$$ddtimeCrPi_mito=VCK_mito-Vt_CRP2$$ddtimeCrPi_cyto=Vt_CRP2+VCK_cyto$$ddtimeATPi=1.0-clamp_ATPi⁢0.615⁢VANT-V_AM+0.5⁢Jup+6.371e-5⁢INaK+IpCa+VCK_mito$$ddtimeATPi_cyto=1.0-clamp_ATPi_cyto⁢-VCK_cyto-VATPase_cyto$$ddtimeCam=fm⁢Vuni-VnaCa$$ddtimeADPm=VANT-VATPase+VSL$$ddtimeDpsi=--VHNe-VHFe+Vhu+VANT+Vhleak+two_b⁢VnaCa+2.0⁢Vuni⁢inv_Cmito$$ddtimeNADH=-VNO+VIDH+VKGDH+VMDH$$ddtimeISOC=VACO-VIDH$$ddtimeAKG=VIDH+VAAT-VKGDH$$ddtimeSCoA=VKGDH-VSL$$ddtimeSucc=VSL-VSDH$$ddtimeFUM=VSDH-VFH$$ddtimeMAL=VFH-VMDH$$ddtimeOaa=VMDH-VCS+VAAT$$ddtimeASP=VAAT-kcnsASP⁢ASP$
Source
Derived from workspace Cortassa et al (2006) ECME model at changeset c4bd63604cd1.
Collaboration
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