Model Mathematics

Component: Time

Component: Environment

FoRT=FRTRToF=RTF

Component: membrane

i_stim=stim_amplitudeiftimestim_starttimestim_endtime-stim_start-time-stim_startstim_periodstim_periodstim_duration0otherwisebulk_volume=bulk_fractioncell_volumeperipheral_volume=periphery_fractioncell_volumesr_volume=sr_fractioncell_volumediffusable_volume=bulk_fraction+periphery_fractioncell_volumeddtimeVm=-11Cmi_k1+i_to_fast+i_to_sustained+i_kr+i_ks+i_kb+i_nak+i_cal+i_cat+i_na_fast+i_na_late+i_pmca+i_cab+i_f_na+i_f_k+i_naca+i_nab+i_stimddtimeCa_i_peripheral=-1i_cal+-1i_cat+-1i_cab+1i_rel_per+-1i_serca_per+-1i_diff+2i_naca+-1i_pmca10002Fperipheral_volumeddtimeCa_i_bulk=-1i_serca_bulk+i_diff+i_leak10002Fbulk_volumeddtimeCa_sr=-1i_rel_per+-1i_leak+i_serca_bulk+i_serca_per10002Fsr_volumeddtimeK_i=-1i_to_fast+-1i_to_sustained+-1i_kr+-1i_ks+-1i_k1+-1i_kb+-1i_f_k+-1i_stim+2i_nak1000Fdiffusable_volumeddtimeNa_i=-1i_na_fast+-1i_na_late+-3i_nak+-3i_naca+-1i_f_na+-1i_nab1000Fdiffusable_volume

Component: x_Ttype

x_inf_Ttype=11+Vm+47.8-5.5ddtimex_Ttype=x_inf_Ttype-x_Ttypetau_x_Ttype

Component: y_Ttype

y_inf_Ttype=11+Vm+67.93.87tau_y_Ttype=1.42271-0.05119Vmddtimey_Ttype=y_inf_Ttype-y_Ttypetau_y_Ttype

Component: i_cat

E_Ca=0.5RToFlnCa_oCa_i_peripherali_cat=G_max_Ttypex_Ttypey_TtypeVm-E_Ca

Component: x_Ltype

x_inf_Ltype=11+Vm+14.6-5.5ddtimex_Ltype=x_inf_Ltype-x_Ltypetau_x_Ltype

Component: y_Ltype

y_inf_Ltype=11+Vm+31.05.54tau_y_Ltype=25.10.04+0.7-10.028Vm+14.52.0ddtimey_Ltype=y_inf_Ltype-y_Ltypetau_y_Ltype

Component: y_ca_Ltype

y_ca_inf_Ltype=0.4+0.61+Ca_i_peripheral0.00012.0tau_y_ca_Ltype=2.0+80.01+Ca_i_peripheral0.00012.0ddtimey_ca_Ltype=y_ca_inf_Ltype-y_ca_Ltypetau_y_ca_Ltype

Component: i_cal

E_Ca=0.5RToFlnCa_oCa_i_peripherali_cal=G_max_Ltypex_Ltypey_Ltypey_ca_LtypeVm-E_Ca

Component: x_to_fast

x_inf_to_fast=11+Vm+-7.0-9.0ddtimex_to_fast=x_inf_to_fast-x_to_fasttau_x_to_fast

Component: y_to_fast

y_inf_to_fast=11+Vm+27.58.0ddtimey_to_fast=y_inf_to_fast-y_to_fasttau_y_to_fast

Component: i_to_fast

E_k=RToFlnK_oK_ii_to_fast=G_max_to_fastx_to_fasty_to_fastVm-E_k

Component: x_to_sustained

x_to_sustained=11+5.0-Vm17.0

Component: i_to_sustained

E_k=RToFlnK_oK_ii_to_sustained=G_max_to_sustainedx_to_sustainedVm-E_k

Component: x_na_fast

x_inf_na_fast=11+Vm+25.0-5.0ddtimex_na_fast=x_inf_na_fast-x_na_fasttau_x_na_fast

Component: y_na_fast

y_inf_na_fast=11+Vm+69.03.96ddtimey_na_fast=y_inf_na_fast-y_na_fasttau_y_na_fast

Component: i_na_fast

E_na=RToFlnNa_oNa_ii_na_fast=G_max_na_fastx_na_fasty_na_fastVm-E_na

Component: x_na_late

x_inf_na_late=11+Vm+30.0-5.0ddtimex_na_late=x_inf_na_late-x_na_latetau_x_na_late

Component: y_na_late

y_inf_na_late=0.1+0.91+Vm+75.66.3tau_y_na_late=120.0+1.0Vm+100.025.0ddtimey_na_late=y_inf_na_late-y_na_latetau_y_na_late

Component: i_na_late

E_na=RToFlnNa_oNa_ii_na_late=G_max_na_latex_na_latey_na_lateVm-E_na

Component: x_k1

x_k1=11+92.0+Vm10.0

Component: i_k1

E_k=RToFlnK_oK_ii_k1=G_max_k1K_o5.40.8x_k1Vm-E_k

Component: x_kr

x_kr=11+33.0+Vm22.4

Component: y_kr

y_inf_kr=11+Vm+50.0-7.5ykrv1=0.001381Vm+71--0.123Vm+7if|Vm+7|>0.0010.001380.123otherwiseykrv2=0.0000611Vm+100.145Vm+10-1if|Vm+10|>0.0010.000610.145otherwisetau_y_kr=1ykrv1+ykrv2ddtimey_kr=y_inf_kr-y_krtau_y_kr

Component: i_kr

E_k=RToFlnK_oK_ii_kr=G_max_krK_o5.41.0x_kry_krVm-E_k

Component: x_ks

x_inf_ks=11+Vm-1.5-16.7tau_x_ks=417.9462if|Vm+30|<0.014510.0000719Vm+301--0.148Vm+30+0.000131Vm+300.0687Vm+30-1otherwiseddtimex_ks=x_inf_ks-x_kstau_x_ks

Component: y_ks

y_inf_ks=x_inf_kstau_y_ks=4tau_x_ksddtimey_ks=y_inf_ks-y_kstau_y_ks

Component: i_ks

E_k=RToFlnK_oK_ii_ks=G_max_ksx_ksy_ksVm-E_k

Component: i_naca

i_naca=512.009113204g_NaCagamman_NaCa-2VmRToFNain_NaCaCao-Caigamma-1n_NaCa-2VmRToFNaon_NaCa1+d_NaCaCaiNaon_NaCa+CaoNain_NaCa1+Cai0.0069

Component: x_nak

x_nak=11+Vm+80.0-45.0

Component: y_nak

y_nak=11+Vm+0.0125.0

Component: i_nak

i_nak=g_nakx_naky_nak1.01.0+1.9K_o1.451.01.0+31.98Na_i1.0

Component: i_kb

E_k=RToFlnK_oK_ii_kb=G_max_kbVm-E_k

Component: i_nab

E_na=RToFlnNa_oNa_ii_nab=G_max_nabVm-E_na

Component: i_cab

E_ca=0.5RToFlnCa_oCa_i_peripherali_cab=G_max_cabVm-E_ca

Component: i_pmca

i_pmca=PMCA_max1.01.0+KpmcaCa_i_peripheralHpmca

Component: i_f_k

E_k=RToFlnK_oK_ii_f_k=G_f_ky_gate_f_kVm-E_k

Component: i_f_na

E_na=RToFlnNa_oNa_ii_f_na=G_f_nay_gate_f_naVm-E_na

Component: y_gate_f_k

y_inf_f_gate=1.01.0+Vm+109.010.0tau_y_f_gate=6000.0-1.02.9+0.04Vm+1.03.6+0.11Vmddtimey_gate_f_k=y_inf_f_gate-y_gate_f_ktau_y_f_gate

Component: y_gate_f_na

y_inf_f_gate=1.01.0+Vm+109.010.0tau_y_f_gate=6000.0-1.02.9+0.04Vm+1.03.6+0.11Vmddtimey_gate_f_na=y_inf_f_gate-y_gate_f_natau_y_f_gate

Component: i_rel_per

i_rel_per=REL_maxCa_sr1.0+KrelCa_i_peripheral2

Component: i_serca_per

i_serca_per=SERCA_maxCa_i_peripheralKmfH-Ca_srKmrH1.0+Ca_i_peripheralKmfH+Ca_srKmrH

Component: i_serca_bulk

i_serca_bulk=SERCA_maxCa_i_bulkKmfH-Ca_srKmrH1.0+Ca_i_bulkKmfH+Ca_srKmrH

Component: i_leak

i_leak=LEAK_maxCa_sr-Ca_i_bulk

Component: i_diff

i_diff=DIFF_maxCa_i_peripheral-Ca_i_bulk