Model Mathematics

Component: environment

vol_cyt=fr_cytvol_pmu V_tau=RTF

Component: Membrane

VD=VV_tau A_pmu=SVR_pmuvol_pmu1 e -31 e -31 e -31 V_Ca=0.5lnCa_oCa_i V_Na=lnNa_oNa_i V_K=lnK_oK_i ddtV=Fvol_cytC_spA_pmuJ_Na+J_K+2J_Ca

Component: Cytosol

ddtCa_i=J_Ca ddtNa_i=J_Na ddtK_i=J_K

Component: calcium_dynamics

J_Ca=J_ca-J_calb+4J_cam J_ca=-12Fvol_cytI_CaL+2I_pmca-2I_xm

Component: sodium_dynamics

J_Na=-1Fvol_cyt3I_nk+3I_xm+I_Na+I_Nalk+I_NaHCN

Component: potassium_dynamics

I_K=I_Ksk+I_Kdr+I_Kir J_K=-1Fvol_cytI_K-2I_nk

Component: calcium_buffer_dynamics

J_calb=kcal_1CalbCa_i-kcal_2CaCalb J_cam=alpha_camCam-beta_camCaCam kcam_cb=12000Ca_i2 kcam_nb=3.7 e 6Ca_i2 alpha_cam=kcam_cbkcam_nb1kcam_cb+kcam_nd+1kcam_cd+kcam_nd beta_cam=kcam_cdkcam_nd1kcam_cb+kcam_nd+1kcam_cd+kcam_nd CaCalb=Calbtot-Calb CaCam=Camtot-Cam ddtCalb=-J_calb ddtCam=-J_cam

Component: L_type_Ca_channel

I_CaL=g_calm_calh_calCa_iCa_osinhVD-V_CasinhVDVD ddtm_cal=11+-V+157-m_cal7.68-V+6517.332+0.7231 h_cal=0.000450.00045+Ca_i

Component: transient_Na_channel

O_na=m_na3h_na ddtm_na=A_mnaza_mnaVD1-m_na-B_mna-zb_mnaVDm_na ddth_na=A_hnaza_hnaVD1-h_na-B_hna-zb_hnaVDh_na I_Na=g_naO_naNa_iNa_osinh0.5VD-V_Nasinh0.5VD0.5VD

Component: Leak_Na_channel

I_Nalk=g_nalkNa_iNa_osinh0.5VD-V_Nasinh0.5VD0.5VD

Component: HCN_channel

ddtO_hcn=kf_hcn1-O_hcn-kr_hcnO_hcn kf_hcn=kf_freeP_c+kf_bnd1-P_c kr_hcn=kr_freeP_o+kr_bnd1-P_o kf_free=0.0061+V+87.76.45 kr_free=0.081+-V+51.77 kf_bnd=0.02681+V+94.213.3 kr_bnd=0.081+-V+35.57 P_c=11+cAMP1.163 e -3 P_o=11+cAMP1.45 e -5 I_NaHCN=g_nahcnO_hcnNa_iNa_osinh0.5VD-V_Nasinh0.5VD0.5VD

Component: SK_K_channel

O_sk=Ca_i4.20.35 e -34.2+Ca_i4.2 I_Ksk=g_kskO_skK_iK_osinh0.5VD-V_Ksinh0.5VD0.5VD

Component: DR_K_channel

I_Kdr=g_kdrO_kdrV-V_KV_tau O_kdr=m_kdr3 ddtm_kdr=11+-V+2512-m_kdr181+V+398+1

Component: IR_K_channel

I_Kir=g_kirO_kirV-V_KV_tau O_kir=11+V+8512.1

Component: PMCA

I_pmca=K_pmcak_1pcP_E1Spcy_pc-k_2pcP_E2Spc1-y_pc1 K_pmca=k_pmca10.56CaCamCaCam+0.00005+1.2 ddty_pc=beta_pc1-y_pc-alpha_pcy_pc k_1pc=11+0.1atp P_E1Spc=11+K_pciCa_i P_E1pc=1-P_E1Spc P_E2Spc=11+K_pcoCa_o P_E2pc=1-P_E2Spc beta_pc=k_2pcP_E2Spc+k_4pcP_E2pc alpha_pc=k_1pcP_E1Spc+k_3pcP_E1pc K_pci=173.61+CaCam0.00005+6.41 e -5

Component: NaCa

I_xm=k_xmNa_i3Ca_odelVD-Na_o3Ca_idel-1VDDr Dr=1+0.001Na_i3Ca_o+Na_o3Ca_i1+Ca_i0.0069

Component: sodium_pump

I_nk=k_nkk_1nkP_E1Snky_nk-k_2nkP_E2Snk1-y_nk1 k_1nk=0.371+0.094atp Na_eff=Na_o-0.82VD ddty_nk=beta_nk1-y_nk-alpha_nky_nk beta_nk=k_2nkP_E2Snk+k_4nkP_E2Dnk alpha_nk=k_1nkP_E1Snk+k_3nkP_E1Dnk P_E1Snk=11+K_nknaiNa_i1+K_iK_nkki P_E1Dnk=11+K_nkkiK_i1+Na_iK_nknai P_E2Snk=11+K_nknaoNa_eff1+K_oK_nkko P_E2Dnk=11+K_nkkoK_o1+Na_effK_nknao