Model Mathematics

Component: caflux

ddtimeHTRPNCa=khtrpn_plusCai1.0-HTRPNCa-caflux_HTRPNCa_a1 Jtr=CaNSR-CaJSRtautr Jtrpn=LTRPNtotddtimeLTRPNCa+HTRPNtotddtimeHTRPNCa Jxfer=CaSS-Caitauxfer ddtimeLTRPNCa=kltrpn_plusCai1.0-LTRPNCa-caflux_LTRPNCa_a1 caflux_HTRPNCa_a1=khtrpn_minusHTRPNCa caflux_LTRPNCa_a1=kltrpn_minusLTRPNCa

Component: calcium

ddtimeCaJSR=beta_JSRJtr-Jrel ddtimeCaNSR=JupVmyoVNSR-JtrVJSRVNSR ddtimeCaSS=beta_SScalcium_CaSS_a3-ICacell_a2-icat_Icell_a2 ddtimeCai=beta_iJxfer-Jup-Jtrpn-calcium_Cai_a30.5cell_a1 beta_JSR=1.01.0+calcium_beta_JSR_b1 beta_SS=1.01.0+calcium_beta_SS_b1+calcium_beta_SS_b2 beta_i=1.01.0+calcium_beta_i_b1+calcium_beta_i_b2 calcium_CaSS_a3=JrelVJSRVSS-JxferVmyoVSS calcium_Cai_a3=-2.0INaCa+IpCa calcium_beta_JSR_b1=CSQNtotKmCSQNCaJSR+KmCSQN2.0 calcium_beta_SS_b1=CMDNtotKmCMDNCaSS+KmCMDN2.0 calcium_beta_SS_b2=EGTAtotKmEGTACaSS+KmEGTA2.0 calcium_beta_i_b1=CMDNtotKmCMDNCai+KmCMDN2.0 calcium_beta_i_b2=EGTAtotKmEGTACai+KmEGTA2.0

Component: cell

a1=AcapVmyoF1000.0 a2=Acap2.0VSSF1000.0

Component: engine

Component: extra

Component: ical

ddtimeC0=ical_C0_a2-ical_C0_a1 C0_to_C1=4.0alpha C0_to_CCa0=gamma ddtimeC1=ical_C1_a2-ical_C1_a1 C1_to_C0=beta C1_to_C2=3.0alpha C1_to_CCa1=aLC0_to_CCa0 ddtimeC2=ical_C2_a2-ical_C2_a1 C2_to_C1=2.0beta C2_to_C3=2.0alpha C2_to_CCa2=aLC1_to_CCa1 ddtimeC3=ical_C3_a2-ical_C3_a1 C3_to_C2=3.0beta C3_to_C4=alpha C3_to_CCa3=aLC2_to_CCa2 ddtimeC4=ical_C4_a2-ical_C4_a1 C4_to_C3=4.0beta C4_to_CCa4=aLC3_to_CCa3 ddtimeCCa0=ical_CCa0_a2-ical_CCa0_a1 CCa0_to_C0=omega CCa0_to_CCa1=4.0alpha_prime ddtimeCCa1=ical_CCa1_a2-ical_CCa1_a1 CCa1_to_C1=CCa0_to_C0bL CCa1_to_CCa0=beta_prime CCa1_to_CCa2=3.0alpha_prime ddtimeCCa2=ical_CCa2_a2-ical_CCa2_a1 CCa2_to_C2=CCa1_to_C1bL CCa2_to_CCa1=2.0beta_prime CCa2_to_CCa3=2.0alpha_prime ddtimeCCa3=ical_CCa3_a2-ical_CCa3_a1 CCa3_to_C3=CCa2_to_C2bL CCa3_to_CCa2=3.0beta_prime CCa3_to_CCa4=alpha_prime ddtimeCCa4=ical_CCa4_a2-ical_CCa4_a1 CCa4_to_C4=CCa3_to_C3bL CCa4_to_CCa3=4.0beta_prime ICa=ICamaxyCaOpen ICaK=PKprimeOpenyCaVFFRTical_ICaK_a1ical_ICaK_a2 ICahalf=-0.265 ICamax=PCa4.0VFFRTical_ICamax_a1ical_ICamax_a2 ddtimeOpen=fLC4-gLOpen PCa=Pscale0.2469 PK=Pscale0.0004574 PKprime=PK1.0+imaxICahalf alpha=4.01.20.4160.012V-35.0 alpha_prime=aLalpha beta=4.00.450.049-0.065V-22.0 beta_prime=betabL gamma=0.60.09233CaSS ical_C0_a1=C0_to_C1+C0_to_CCa0C0 ical_C0_a2=C1_to_C0C1+CCa0_to_C0CCa0 ical_C1_a1=C1_to_C0+C1_to_C2+C1_to_CCa1C1 ical_C1_a2=C0_to_C1C0+C2_to_C1C2+CCa1_to_C1CCa1 ical_C2_a1=C2_to_C1+C2_to_C3+C2_to_CCa2C2 ical_C2_a2=C1_to_C2C1+C3_to_C2C3+CCa2_to_C2CCa2 ical_C3_a1=C3_to_C2+C3_to_C4+C3_to_CCa3C3 ical_C3_a2=C2_to_C3C2+C4_to_C3C4+CCa3_to_C3CCa3 ical_C4_a1=C4_to_C3+fL+C4_to_CCa4C4 ical_C4_a2=C3_to_C4C3+gLOpen+CCa4_to_C4CCa4 ical_CCa0_a1=CCa0_to_CCa1+CCa0_to_C0CCa0 ical_CCa0_a2=CCa1_to_CCa0CCa1+C0_to_CCa0C0 ical_CCa1_a1=CCa1_to_CCa0+CCa1_to_CCa2+CCa1_to_C1CCa1 ical_CCa1_a2=CCa0_to_CCa1CCa0+CCa2_to_CCa1CCa2+C1_to_CCa1C1 ical_CCa2_a1=CCa2_to_CCa1+CCa2_to_CCa3+CCa2_to_C2CCa2 ical_CCa2_a2=CCa1_to_CCa2CCa1+CCa3_to_CCa2CCa3+C2_to_CCa2C2 ical_CCa3_a1=CCa3_to_CCa2+CCa3_to_CCa4+CCa3_to_C3CCa3 ical_CCa3_a2=CCa2_to_CCa3CCa2+CCa4_to_CCa3CCa4+C3_to_CCa3C3 ical_CCa4_a1=CCa4_to_CCa3+CCa4_to_C4CCa4 ical_CCa4_a2=CCa3_to_CCa4CCa3+C4_to_CCa4C4 ical_ICaK_a1=KiVFRT-Ko ical_ICaK_a2=VFRT-1.0 ical_ICamax_a1=0.0012.0VFRT-Cao0.341 ical_ICamax_a2=2.0VFRT-1.0 imax=0.0ifICamax>0.0ICamaxotherwise tau_yCa=1.03.36336209451999985e-30.5+V-5.53899874036055007+7.79046570737000014e-3V-4.95103963116038628e1 ddtimeyCa=yCa_inf-yCatau_yCa yCa_inf=ical_yCa_yCa_inf_a11.0+V+28.57.8+1.0-ical_yCa_yCa_inf_a1

Component: icat

I=ICamaxPCaTtypescalennl icat_l_inf=1.01.0+V+75.66.2 icat_l_tau=500.0ifV<-60.018.3+0.005-V6.2otherwise icat_n_inf=1.01.0+-V+48.45.2 icat_n_tau=2.44V+120.040.0ifV<-56.01.34+0.035-V11.8otherwise ddtimel=icat_l_inf-licat_l_tau ddtimen=icat_n_inf-nicat_n_tau

Component: ihcn

IHCN=IHCNmaxhcn6+hcn7+hcn8+hcn9+hcn10V-ENa3.0+2.0EK3.0 h_alpha=0.0001712-1.465VFRT1000.0 h_beta=26.171.465VFRT1000.0 h_delta=287.51.242VFRT1000.0 h_gamma=0.04025-1.242VFRT1000.0 ddtimehcn1=-4.0h_gamma+h_alphahcn1+h_deltahcn2+h_betahcn6 ddtimehcn10=-h_betah_f4.0+4.0h_deltah_fhcn10+h_alphah_f4.0hcn5+h_gammah_fhcn9 ddtimehcn2=-h_delta+3.0h_gamma+h_alphah_fhcn2+4.0h_gammahcn1+2.0h_deltahcn3+h_betah_fhcn7 ddtimehcn3=-2.0h_delta+2.0h_gamma+h_alphah_f2.0hcn3+3.0h_gammahcn2+3.0h_deltahcn4+h_betah_f2.0hcn8 ddtimehcn4=-3.0h_delta+h_gamma+h_alphah_f3.0hcn4+2.0h_gammahcn3+4.0h_deltahcn5+h_betah_f3.0hcn9 ddtimehcn5=-4.0h_delta+h_alphah_f4.0hcn5+h_gammahcn4+h_betah_f4.0hcn10 ddtimehcn6=-h_beta+4.0h_gammah_fhcn6+h_alphahcn1+h_deltah_fhcn7 ddtimehcn7=-h_betah_f+h_deltah_f+3.0h_gammah_fhcn7+h_alphah_fhcn2+4.0h_gammah_fhcn6+2.0h_deltah_fhcn8 ddtimehcn8=-h_betah_f2.0+2.0h_deltah_f+2.0h_gammah_fhcn8+h_alphah_f2.0hcn3+3.0h_gammah_fhcn7+3.0h_deltah_fhcn9 ddtimehcn9=-h_betah_f3.0+3.0h_deltah_f+h_gammah_fhcn9+h_alphah_f3.0hcn4+2.0h_gammah_fhcn8+4.0h_deltah_fhcn10

Component: ik1

IK1=GK1Ko1.0ik1_IK1_infV-EK ik1_IK1_inf=1.00.9681+V+82.1862315.88642

Component: ikr

B1=-4.30605416397999985e-2 B3=-2.69138549839900015e-2 B5=-4.53664295954299968e-2 ddtimeC1=C2H_to_C1HC2-C1H_to_C2HC1 C1H_to_C2H=T_ConstA0B0V ddtimeC2=ikr_C2_a1-ikr_C2_a2 C2H_to_C1H=T_ConstA1B1V C2H_to_C3H=T_Const2.60836204333700014e-2 ddtimeC3=ikr_C3_a1-ikr_C3_a2 C3H_to_C2H=T_Const1.48329781321449999e-1 C3H_to_IH=T_ConstA6B6V C3H_to_OH=T_ConstA2B2V ddtimeI=ikr_I_a1-ikr_I_a2 IH_to_C3H=OH_to_C3HIH_to_OHC3H_to_IHC3H_to_OHOH_to_IH IH_to_OH=T_ConstA5B5V IKr=GKrfKoOV-EK ddtimeO=ikr_O_a1-ikr_O_a2 OH_to_C3H=T_ConstA3B3V OH_to_IH=T_ConstA4B4V fKo=Ko4.0 ikr_C2_a1=C1H_to_C2HC1+C3H_to_C2HC3 ikr_C2_a2=C2H_to_C1H+C2H_to_C3HC2 ikr_C3_a1=C2H_to_C3HC2+OH_to_C3HO+IH_to_C3HI ikr_C3_a2=C3H_to_IH+C3H_to_OH+C3H_to_C2HC3 ikr_I_a1=C3H_to_IHC3+OH_to_IHO ikr_I_a2=IH_to_C3H+IH_to_OHI ikr_O_a1=C3H_to_OHC3+IH_to_OHI ikr_O_a2=OH_to_C3H+OH_to_IHO

Component: iks

IKs=GKsxs_wtxf_wtV-EK iks_xf_wt_alpha=0.0001460.078ifV=21.00.000146V-21.01.0--0.078V-21.0otherwise iks_xf_wt_beta=0.00091-0.028V iks_xs_wt_alpha=3.3e-50.13ifV=-11.03.3e-5V+11.01.0--0.13V+11.0otherwise iks_xs_wt_beta=0.0001-0.015V ddtimexf_wt=iks_xf_wt_alpha1.0-xf_wt-iks_xf_wt_betaxf_wt ddtimexs_wt=iks_xs_wt_alpha1.0-xs_wt-iks_xs_wt_betaxs_wt

Component: inaca

INaCa=kNaCaa5a1-a2a4a3 a1=etaVFRTNai3.0Cao a2=eta-1.0VFRTnao3Cai a3=1.0+ksateta-1.0VFRT a4=KmCa+Cao a5=5000.0KmNa3.0+nao3 nao3=Nao3.0

Component: inak

INaK=INaKmaxfNaKinak_INaK_a1inak_INaK_a2 fNaK=1.0inak_fNaK_a1+inak_fNaK_a2 inak_INaK_a1=KoKo+KmKo inak_INaK_a2=1.0+KmNaiNai1.5 inak_fNaK_a1=1.0+0.1245-0.1VFRT inak_fNaK_a2=0.0365sigma-1.33VFRT sigma=Nao67.3-1.07.0

Component: ipca

IpCa=IpCamaxCaiKmpCa+Cai

Component: isus

Isus=Isusmax1.01.0+-V-20.012.0V-EK

Component: ito

ddtimeC0=ito_C0_a2-ito_C0_a1 C0_to_C1=4.0alpha_act43 C0_to_CI0=beta_inact43 ddtimeC1=ito_C1_a2-ito_C1_a1 C1_to_C0=beta_act43 C1_to_C2=3.0alpha_act43 C1_to_CI1=f1beta_inact43 ddtimeC2=ito_C2_a2-ito_C2_a1 C2_to_C1=2.0beta_act43 C2_to_C3=2.0alpha_act43 C2_to_CI2=f2beta_inact43 ddtimeC3=ito_C3_a2-ito_C3_a1 C3_to_C2=3.0beta_act43 C3_to_CI3=f3beta_inact43 C3_to_O=alpha_act43 ddtimeCI0=ito_CI0_a2-ito_CI0_a1 CI0_to_C0=alpha_inact43 CI0_to_CI1=4.0b1alpha_act43 ddtimeCI1=ito_CI1_a2-ito_CI1_a1 CI1_to_C1=alpha_inact43b1 CI1_to_CI0=beta_act43f1 CI1_to_CI2=3.0b2alpha_act43b1 ddtimeCI2=ito_CI2_a2-ito_CI2_a1 CI2_to_C2=alpha_inact43b2 CI2_to_CI1=2.0f1beta_act43f2 CI2_to_CI3=2.0b3alpha_act43b2 ddtimeCI3=ito_CI3_a2-ito_CI3_a1 CI3_to_C3=alpha_inact43b3 CI3_to_CI2=3.0f2beta_act43f3 CI3_to_OI=b4alpha_act43b3 Ito1=GOV-EK ddtimeO=ito_O_a2-ito_O_a1 ddtimeOI=ito_OI_a2-ito_OI_a1 OI_to_CI3=4.0f3beta_act43f4 OI_to_O=alpha_inact43b4 O_to_C3=4.0beta_act43 O_to_OI=f4beta_inact43 alpha_act43=alphaa0aaV alpha_inact43=alphai0-aiV beta_act43=betaa0-baV beta_inact43=betai0biV ito_C0_a1=C0_to_C1+C0_to_CI0C0 ito_C0_a2=C1_to_C0C1+CI0_to_C0CI0 ito_C1_a1=C1_to_C2+C1_to_C0+C1_to_CI1C1 ito_C1_a2=C2_to_C1C2+CI1_to_C1CI1+C0_to_C1C0 ito_C2_a1=C2_to_C3+C2_to_C1+C2_to_CI2C2 ito_C2_a2=C3_to_C2C3+CI2_to_C2CI2+C1_to_C2C1 ito_C3_a1=C3_to_O+C3_to_C2+C3_to_CI3C3 ito_C3_a2=O_to_C3O+CI3_to_C3CI3+C2_to_C3C2 ito_CI0_a1=CI0_to_C0+CI0_to_CI1CI0 ito_CI0_a2=C0_to_CI0C0+CI1_to_CI0CI1 ito_CI1_a1=CI1_to_CI2+CI1_to_C1+CI1_to_CI0CI1 ito_CI1_a2=CI2_to_CI1CI2+C1_to_CI1C1+CI0_to_CI1CI0 ito_CI2_a1=CI2_to_CI3+CI2_to_C2+CI2_to_CI1CI2 ito_CI2_a2=CI3_to_CI2CI3+C2_to_CI2C2+CI1_to_CI2CI1 ito_CI3_a1=CI3_to_OI+CI3_to_C3+CI3_to_CI2CI3 ito_CI3_a2=OI_to_CI3OI+C3_to_CI3C3+CI2_to_CI3CI2 ito_OI_a1=OI_to_O+OI_to_CI3OI ito_OI_a2=O_to_OIO+CI3_to_OICI3 ito_O_a1=O_to_C3+O_to_OIO ito_O_a2=C3_to_OC3+OI_to_OOI

Component: membrane

ddtimeV=-i_ion+i_diff+i_stim a1=INa+INa1+ICa+icat_I+ICaK+IKr+IKs+IHCN a2=IK1+INaCa+INaK+Ito1+Isus a3=IpCa amplitude=-100.0 i_ion=a1+a2+a3 i_stim=1.0iftime-offset-periodtime-offsetperiod<duration0.0otherwiseamplitude

Component: nav11

ddtimeBC1=BOb13+BC2a12+C1mu1-BC1a13+b12+mu2 ddtimeBC2=BC1b12+BC3a11+C2mu1-BC2a12+b11+mu2 ddtimeBC3=BC2b11+C3mu1-BC3a11+mu2 ddtimeBO=BC1a13+Omu1-BOb13+mu2 ddtimeC1=IFa3+BC1mu2+Ob13+C2a12-C1a13+b3+mu1+b12 ddtimeC2=IC2a3+BC2mu2+C1b12+C3a11-C2a12+b3+mu1+b11 ddtimeC3=IC3a3+BC3mu2+C2b11-C3a11+b3+mu1 ddtimeIC2=IFb12+C2b3+IC3a11-IC2a12+a3+b11 ddtimeIC3=IC2b11+C3b3-IC3a11+a3 ddtimeIF=IS1b4+Oa2+IC2a12+C1b3-IFa4+b2+b12+a3 INa1=GNa1O+BOV-ENa ddtimeIS1=IS2b5+IFa4-IS1a5+b4 ddtimeIS2=IS1a5-IS2b5 ddtimeO=IFb2+BOmu2+C1a13-Oa2+b13+mu1 a11=2.8020.21-V17.0+0.23-V150.0 a12=2.8020.23-V15.0+0.25-V150.0 a13=2.8020.25-V12.0+0.27-V150.0 a2=9.178V29.684.5 a3=3.79329999999999996e-7-V7.63.0 a4=a2100.01.50.285 a5=a295000.080.0 b11=0.4-V20.3 b12=0.4-V-5.020.3 b13=0.4-V-10.020.34.5 b2=a3a2a13b3b13 b3=0.0084+2e-5V b4=a35.0 b5=a330.010.0

Component: nav15

ddtimeBC1=BOb13+BC2a12+C1mu1-BC1a13+b12+mu2 ddtimeBC2=BC1b12+BC3a11+C2mu1-BC2a12+b11+mu2 ddtimeBC3=BC2b11+C3mu1-BC3a11+mu2 ddtimeBO=BC1a13+Omu1-BOb13+mu2 ddtimeC1=IFa3+BC1mu2+Ob13+C2a12-C1a13+b3+mu1+b12 ddtimeC2=IC2a3+BC2mu2+C1b12+C3a11-C2a12+b3+mu1+b11 ddtimeC3=IC3a3+BC3mu2+C2b11-C3a11+b3+mu1 ddtimeIC2=IFb12+C2b3+IC3a11-IC2a12+a3+b11 ddtimeIC3=IC2b11+C3b3-IC3a11+a3 ddtimeIF=IS1b4+Oa2+IC2a12+C1b3-IFa4+b2+b12+a3 INa=GNaO+BOV-ENa ddtimeIS1=IS2b5+IFa4-IS1a5+b4 ddtimeIS2=IS1a5-IS2b5 ddtimeO=IFb2+BOmu2+C1a13-Oa2+b13+mu1 a11=3.8020.1027-V17.0+0.2-V150.0 a12=3.8020.1027-V15.0+0.23-V150.0 a13=3.8020.1027-V12.0+0.25-V150.0 a2=9.178V29.68 a3=3.79329999999999996e-7-V7.7 a4=a2100.0 a5=a295000.0 b11=0.1917-V20.3 b12=0.2-V-5.020.3 b13=0.22-V-10.020.3 b2=a3a2a13b3b13 b3=0.0084+2e-5V b4=a3 b5=a350.0

Component: nernst

EK=RTFlnKoKi ENa=RTFlnNaoNai

Component: phys

RTF=RTF VFFRT=FVFRT VFRT=VRTF

Component: potassium

IK_tot=IKr+IKs+IK1+ICaK+2.0IHCN3.0+Isus+i_stim-2.0INaK+Ito1 ddtimeKi=-cell_a1IK_tot

Component: ryr

ddtimeC1=-kaplusryr_C1_a2C1+kaminusO1 ddtimeC2=kcplusO1-kcminusC2 Jrel=v1O1+O2CaJSR-CaSS ddtimeO1=-ddtimeC1+ddtimeO2+ddtimeC2 ddtimeO2=kbplusryr_O2_a1O1-kbminusO2 ryr_C1_a2=CaSS1000.04.0 ryr_O2_a1=CaSS1000.03.0

Component: serca

Jup=KSRvmaxffb-vmaxrrb1.0+fb+rb fb=CaiKfbNfb rb=CaNSRKrbNrb

Component: sodium

INa_tot=INa+INa1+IHCN3.0+3.0INaCa+INaK ddtimeNai=-cell_a1INa_tot
Source
Derived from workspace Sampson-Iyer-Marks-Kass-2010 at changeset 7e0450c5e3cd.
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