Model Mathematics

Component: environment

Component: membrane

ddtimeV=-i_CaL+i_CaT+i_Kr+i_Ks+i_to+i_sus+i_h+i_st+i_b_Na+i_K_ACh+i_NaK+i_NaCa1

Component: reversal_potentials

E_Na=RTFlnNaoNai E_K=RTFlnKoKi

Component: L_type_calcium_channel_current

i_CaL=g_CaLV-E_CaLdffCa

Component: L_type_calcium_channel_current_d_gate

d_infinity=11+-V+14.16 tau_d=1alpha_d+beta_d alpha_d=-0.02839V+35-V+352.5-1-0.0849V-V4.808-1 beta_d=0.01143V-5V-52.5-1 ddtimed=d_infinity-dtau_d

Component: L_type_calcium_channel_current_f_gate

f_infinity=11+V+305 tau_f=44.3+257.1-V+32.513.92 ddtimef=f_infinity-ftau_f

Component: L_type_calcium_channel_current_fCa_gate

alpha_fCa=Km_fCabeta_fCa fCa_infinity=Km_fCaKm_fCa+Ca_sub tau_fCa=fCa_infinityalpha_fCa ddtimefCa=fCa_infinity-fCatau_fCa

Component: T_type_calcium_channel_current

i_CaT=g_CaTV-E_CaTdf

Component: T_type_calcium_channel_current_d_gate

d_infinity=11+-V+26.36 tau_d=11.068V+26.330+1.068-V+26.330 ddtimed=d_infinity-dtau_d

Component: T_type_calcium_channel_current_f_gate

f_infinity=11+V+61.75.6 tau_f=10.0153-V+61.783.3+0.015V+61.715.38 ddtimef=f_infinity-ftau_f

Component: rapidly_activating_delayed_rectifier_potassium_current

g_Kr=0.025Ko10.59 i_Kr=g_KrV-E_K0.6paF+0.4paSpiy

Component: rapidly_activating_delayed_rectifier_potassium_current_pa_gate

pa_infinity=11+-V+23.210.6 tau_paS=0.846553540.0042V17+0.00015-V21.6 tau_paF=0.846553540.0372V15.9+0.00096-V22.5 ddtimepaS=pa_infinity-paStau_paS ddtimepaF=pa_infinity-paFtau_paF

Component: rapidly_activating_delayed_rectifier_potassium_current_pi_gate

pi_infinity=11+V+28.617.1 tau_pi=10.1-V54.645+0.656V106.157 ddtimepiy=pi_infinity-piytau_pi

Component: slowly_activating_delayed_rectifier_potassium_current

E_Ks=RTFlnKo+0.12NaoKi+0.12Nai i_Ks=g_KsV-E_Ksn2

Component: slowly_activating_delayed_rectifier_potassium_current_n_gate

n_infinity=alpha_nalpha_n+beta_n tau_n=1alpha_n+beta_n alpha_n=0.0141+-V-409 beta_n=0.001-V45 ddtimen=n_infinity-ntau_n

Component: AP_sensitive_currents

i_to=g_toV-E_Kqr i_sus=g_susV-E_Kr

Component: AP_sensitive_currents_q_gate

q_infinity=11+V+4913 tau_q=0.665.170.57-0.08V+44+0.0650.1V+45.93+10.1 ddtimeq=q_infinity-qtau_q

Component: AP_sensitive_currents_r_gate

r_infinity=11+-V-19.315 tau_r=0.661.415.591.0370.09V+30.61+0.369-0.12V+23.84+2.98 ddtimer=r_infinity-rtau_r

Component: hyperpolarisation_activated_current

i_h_Na=g_h_NaV-E_Nay2 i_h_K=g_h_KV-E_Ky2 i_h=i_h_Na+i_h_K

Component: hyperpolarisation_activated_current_y_gate

y_infinity=11+V+6413.5 tau_y=0.7166529-V+386.945.302+V-73.0819.231 ddtimey=y_infinity-ytau_y

Component: sustained_inward_current

i_st=g_stV-E_stqaqi

Component: sustained_inward_current_qa_gate

qa_infinity=11+-V+575 tau_qa=1alpha_qa+beta_qa alpha_qa=10.15-V11+0.2-V700 beta_qa=116V8+15V50 ddtimeqa=qa_infinity-qatau_qa

Component: sustained_inward_current_qi_gate

qi_infinity=alpha_qialpha_qi+beta_qi tau_qi=6.65alpha_qi+beta_qi alpha_qi=13100V13+700V70 beta_qi=195-V10+50-V700+0.0002291+-V5 ddtimeqi=qi_infinity-qitau_qi

Component: sodium_dependent_background_current

i_b_Na=g_b_NaV-E_Na

Component: background_muscarinic_potassium_channel_current

g_K_ACh=0.0011Ko10.41 i_K_ACh=g_K_AChKi-Ko-VFRT1

Component: sodium_potassium_pump_current

i_NaK=i_NaK_max1+Km_KpKo1.2-11+Km_NapNai1.3-11+-V-E_Na+12030-1

Component: sodium_calcium_exchange_current

i_NaCa=kNaCax2k21-x1k12x1+x2+x3+x4 x1=k41k34k23+k21+k21k32k43+k41 x2=k32k43k14+k12+k41k12k34+k32 x3=k14k43k23+k21+k12k23k43+k41 x4=k23k34k14+k12+k14k21k34+k32 k43=NaiK3ni+Nai k12=Ca_subKci-QciVFRTdi k14=NaiK1niNaiK2ni1+NaiK3niQnVF2RTdi k41=-QnVF2RT di=1+Ca_subKci1+-QciVFRT+NaiKcni+NaiK1ni1+NaiK2ni1+NaiK3ni k34=NaoK3no+Nao k21=CaoKcoQcoVFRTdo k23=NaoK1noNaoK2no1+NaoK3no-QnVF2RTdo k32=QnVF2RT do=1+CaoKco1+QcoVFRT+NaoK1no1+NaoK2no1+NaoK3no

Component: intracellular_calcium_dynamics

j_Ca_dif=Ca_sub-Caitau_dif_Ca j_rel=P_relCa_rel-Ca_sub1+K_relCa_sub2 j_up=P_up1+K_upCai j_tr=Ca_up-Ca_reltau_tr

Component: intracellular_ion_concentrations

ddtimeNai=-i_h_Na+i_st+i_b_Na+3i_NaK+3i_NaCaCm1FV_i+V_sub ddtimeKi=-i_Kr+i_Ks+i_to+i_sus+i_h_K+i_K_ACh+-2i_NaKCm1FV_i+V_sub ddtimeCai=j_Ca_difV_sub-j_upV_upV_i-CM_totdelta_fCMi+TC_totdelta_fTC+TMC_totdelta_fTMC ddtimeCa_sub=-i_CaL+i_CaT-2i_NaCaCm12F+j_relV_relV_sub-j_Ca_dif+CM_totdelta_fCMs ddtimeCa_up=j_up-j_trV_relV_up ddtimeCa_rel=j_tr-j_rel+CQ_totdelta_fCQ

Component: calcium_buffering

ddtimefTC=delta_fTC delta_fTC=kf_TCCai1-fTC-kb_TCfTC ddtimefTMC=delta_fTMC delta_fTMC=kf_TMCCai1-fTMC+fTMM-kb_TMCfTMC ddtimefTMM=delta_fTMM delta_fTMM=kf_TMMMgi1-fTMC+fTMM-kb_TMMfTMM ddtimefCMi=delta_fCMi delta_fCMi=kf_CMCai1-fCMi-kb_CMfCMi ddtimefCMs=delta_fCMs delta_fCMs=kf_CMCa_sub1-fCMs-kb_CMfCMs ddtimefCQ=delta_fCQ delta_fCQ=kf_CQCa_rel1-fCQ-kb_CQfCQ