Model Mathematics

Component: acacetin

fKr=1.0-1.01.0+Aca_IC50_IKrconcAca_hill_IKr fKs=1.0-1.01.0+Aca_IC50_IKsconcAca_hill_IKs fto=1.0-1.01.0+Aca_IC50_ItoconcAca_hill_Ito

Component: calcium

ddtimeCa_SRi=1000.0calcium_Ca_SRi_betaDCaSRCa_SRss-2.0Ca_SRi+Ca_SRidx2+Ca_SRi-Ca_SRss2.03.0dx2+JSRCaiVSRi ddtimeCa_SRss=1000.0calcium_Ca_SRss_betaDCaSRCa_SRss-2.0Ca_SRss+Ca_SRidx2+Ca_SRss-Ca_SRi2.04.0dx2+JSRCaSSVSRss ddtimeCa_i=JCaVnjcalcium_Ca_i_beta ddtimeCa_ss=calcium_Ca_ss_betaJCassVss+I_tot2.0VssF I_tot=-ICaL-IbCa-ICap+2.0INaCa JCa=-J_bulkSERCA+JSRCaleaki+Jreli+Jj_nj JCass=-Jj_nj+JSRCaleakss-J_bulkSERCAss+Jrelss JSRCaSS=J_SERCASRss-JSRCaleakss-Jrelss JSRCai=J_SERCASR-JSRCaleaki-Jreli JSRCaleaki=0.5kSRleakCa_SRi-Ca_iVnj JSRCaleakss=0.5kSRleakCa_SRss-Ca_ssVss Jj_nj=2.5DCaAj_njxj_njCa_ss-Ca_i calcium_Ca_SRi_beta=1.01.0+CSQNKdCSQNCa_SRi+KdCSQN2.0 calcium_Ca_SRss_beta=1.01.0+CSQNKdCSQNCa_SRss+KdCSQN2.0 calcium_Ca_i_beta=1.01.0+BCaKdBCaCa_i+KdBCa2.0 calcium_Ca_ss_beta=1.01.0+SLlowKdSLlowCa_ss+KdSLlow2.0+SLhighKdSLhighCa_ss+KdSLhigh2.0+BCaKdBCaCa_ss+KdBCa2.0

Component: cell

VSRi=2.057.0 VSRss=2.080.0 Vnj=6.02531.0 Vss=2.049.9232 dx2=dxdx

Component: engine

Component: ibca

IbCa=1.0CmgbCaV-ECa gbCa=1.40.001131

Component: ibna

IbNa=1.7CmgbNaV-ENa gbNa=0.8 6.74437500000000015e-04

Component: ical

ICaL=1.333333CmgCaLdffcaV-ErL ddtimed=ical_d_inf-dical_d_tau ddtimef=ical_f_inf-fical_f_tau ddtimefca=ical_fca_inf-fcaical_fca_tau gCaL=0.12940.75 ical_d_a=1.01.0+V+10.0-6.24 ical_d_inf=1.01.0+V+10.0-8.0 ical_d_tau=ical_d_a4.579if|V+10.0|<1e-10ical_d_a1.0-V+10.0-6.240.035V+10.0otherwise ical_f_inf=-V+28.06.91.0+-V+28.06.9 ical_f_tau=1.52.03.00.0197-0.03372.0V+10.02.0+0.02 ical_fca_inf=1.01.0+Ca_ss0.00035

Component: icap

ICap=1.26CmicapbarCa_ssCa_ss+kmcap

Component: ik1

IK1=CmgK1V-EK1.0+0.07V+80.0

Component: ikr

IKr=CmfKrgKrxrV-EK1.0+V+15.022.4 gKr=0.8 2.94117649999999994e-02 ikr_xr_a=0.0015if|V+14.1|<1e-100.0003V+14.11.0-V+14.1-5.0otherwise ikr_xr_b= 3.78361180000000004e-04if|V-3.3328|<1e-10 7.38980000000000030e-05V-3.3328V-3.33285.1237-1.0otherwise ikr_xr_inf=1.01.0+V+14.1-6.5 ikr_xr_tau=1.0ikr_xr_a+ikr_xr_b ddtimexr=ikr_xr_inf-xrikr_xr_tau

Component: iks

IKs=CmfKsgKsxsxsV-EK gKs=0.8 1.29411759999999987e-01 iks_xs_a=0.00068if|V-19.9|<1e-104e-05V-19.91.0-V-19.9-17.0otherwise iks_xs_b=0.000315if|V-19.9|<1e-103.5e-05V-19.9V-19.99.0-1.0otherwise iks_xs_inf=1.01.0+V-19.9-12.7 iks_xs_tau=0.5iks_xs_a+iks_xs_b ddtimexs=iks_xs_inf-xsiks_xs_tau

Component: ikur

ddtimeBC=KC-ZKCVFRTconci1.0-a1.0-BO-BC-LCBC-ZLCVFRT ddtimeBO=KO-ZKOVFRTconcia1.0-BO-BC-LOBO-ZLOVFRT IKur=CmgKur4.5128+1.8997691.0+V-20.5232-8.265971.0-BO-BCaiV-EK ZKC=- 3.27023573379999988e-01 ZKO=- 2.57319531729999995e-01 ZLO=- 1.28015801399999993e-02 ddtimea=ikur_a_inf-aikur_a_tau gKur=0.0063980.9 ddtimei=ikur_i_inf-iikur_i_tau ikur_a_inf=1.01.0+-V+5.528.6 ikur_a_tau= 4.56666746825999965e+011.0+V+ 1.12306497072999996e+01 1.15254705961999999e+01+ 4.26753514992999960e+00 2.62186042981000011e-011.0+V+ 3.58658312706999993e+01- 3.87510627762000004e+00+ 2.91755017928000016e-011.0K_Q10 ikur_i_inf=0.524241.0+V+15.11427.567021+0.4580778 ikur_i_tau=2328.01.0+V-9.4353.5827+1739.139K_Q10

Component: ina

ddtimeBA=drug_Kadrug_concenm3.0hj1.0-BA-BI-drug_LaBA ddtimeBI=drug_Kidrug_concen1.0-h1.0-BA-BI-drug_LiBI INa=gNam3.0hjV-ENaCm1.0-BA-BI drug_Ka=0.11000.0 drug_Ki=0.11000.0 ddtimeh=ina_h_alpha1.0-h-ina_h_betah ina_h_alpha=0.0ifV-40.00.135V+80.0-6.8otherwise ina_h_beta=1.00.131.0+V+10.66-11.1ifV-40.03.560.079V+310000.00.35Votherwise ina_j_alpha=0.0ifV-40.0-127140.00.2444V-3.474e-05-0.04391VV+37.781.0+0.311V+79.23otherwise ina_j_beta=0.3-2.535e-07V1.0+-0.1V+32.0ifV-40.00.1212-0.01052V1.0+-0.1378V+40.14otherwise ina_m_alpha=3.2if|V+47.13|<1e-100.32V+47.131.0--0.1V+47.13otherwise ina_m_beta=0.08-V11.0 ddtimej=ina_j_alpha1.0-j-ina_j_betaj ddtimem=ina_m_alpha1.0-m-ina_m_betam

Component: inaca

INaCa=1.4Cmknacalrkmnalr3.0+Na_o3.0kmcalr+Ca_o1.0+ksatlrgammalr-1.0VFRTNa_i3.0Ca_oVgammalrFRT-Na_o3.0Ca_ssVgammalr-1.0FRT

Component: inak

INaK=1.28CmI_barfnakK_oK_o+kmko1.0+kmnaiNa_i4.0 I_bar=1.4 5.99338739999999981e-01 fnak=1.01.0+0.1245-0.1VFRT+0.0365sigma-VFRT sigma=Na_o67.3-1.07.0

Component: ion

Component: ito

Ito=1.05ftoCmgtorsV-EK gto=0.754710.1962 ito_r_inf=1.01.0+V-1.0-11.0 ito_r_tau=3.5-V30.02.0+1.5 ito_s_inf=1.01.0+V+40.511.5 ito_s_tau=25.635-V+52.4515.88272.0+14.14 ddtimer=ito_r_inf-rito_r_tau ddtimes=ito_s_inf-sito_s_tau

Component: membrane

ddtimeV=-i_ion+i_stimCm i_ion=+INa+Ito+IKur+IKr+IKs+ICaL+IK1+IbNa+IbCa+INaCa+INaK+ICap

Component: nernst

ECa=13.35lnCa_oCa_i EK=26.71lnK_oK_i ENa=26.71lnNa_oNa_i

Component: phys

FRT=FRT

Component: potassium

ddtimeK_i=0.0

Component: ryr

Jreli=nuio_ic_iRyRSRCaiCa_SRi-Ca_i Jrelss=nusso_ssc_ssRyRSRCassCa_SRss-Ca_ss RyRSRCai=1.0-1.01.0+Ca_SRi-0.30.1 RyRSRCass=1.0-1.01.0+Ca_SRss-0.30.1 ddtimea_i=ryr_a_i_inf-a_iryr_a_i_tau ddtimea_ss=ryr_a_ss_inf-a_ssryr_a_ss_tau ddtimec_i=ryr_c_i_inf-c_iryr_c_i_tau ddtimec_ss=ryr_c_ss_inf-c_ssryr_c_ss_tau nui=0.001Vnj nuss=0.625Vss ddtimeo_i=ryr_o_i_inf-o_iryr_o_i_tau ddtimeo_ss=ryr_o_ss_inf-o_ssryr_o_ss_tau ryr_a_i_inf=0.505-0.4271.0+2000.0Ca_i-0.290.082 ryr_a_ss_inf=0.505-0.4271.0+1000.0Ca_ss-0.290.082 ryr_c_i_inf=1.01.0+2000.0Ca_i-a_i+0.020.01 ryr_c_i_tau=2.015.0 ryr_c_ss_inf=1.01.0+1000.0Ca_ss-a_ss+0.020.01 ryr_o_i_inf=1.0-1.01.0+2000.0Ca_i-a_i+0.220.03 ryr_o_ss_inf=1.0-1.01.0+1000.0Ca_ss-a_ss+0.220.03

Component: serca

J_SERCASR=0.75-k3Ca_SRi2.0cpumps-SERCACa+k4SERCACaVnj2.0 J_SERCASRss=0.75-k3Ca_SRss2.0cpumps-SERCACass+k4SERCACassVss2.0 J_bulkSERCA=0.75k1Ca_i2.0cpumps-SERCACa-k2SERCACaVnj2.0 J_bulkSERCAss=0.75k1Ca_ss2.0cpumps-SERCACass-k2SERCACassVss2.0 ddtimeSERCACa=-J_SERCASR+J_bulkSERCAVnj ddtimeSERCACass=-J_SERCASRss+J_bulkSERCAssVss

Component: sodium

ddtimeNa_i=-3.0INaK-3.0INaCa-IbNa-INaFVi

Component: stimulus

amplitude=-8000.0 i_stim=amplitudepace pace=1.0iftime-offset-periodtime-offsetperiod<duration0.0otherwise
Source
Derived from workspace Ni et al. 2017 Human atrial model at changeset 28bb4238f19c.
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