Model Mathematics

Component: environment

Component: parameters

L_m=L_prime_m-L_b K_1=k_1Ca K_m=k_mCa k_m=k_1 k_minus_1=k_1K_max k_minus_m=k_minus_1 g_prime_0=g_0 g_prime_1=g_1

Component: non_overlap

Rbar_n=A_nk_minus_11+K_1 R_n=Rbar_nalphaL_m Abar_n=R_nK_11+k_minus_1 A_n=Abar_nalphaL_m

Component: single_overlap

dRbar_s_dt=-K_1R_s+k_minus_1A_s+g_prime_0+g_prime_1VU_s ddtimeRbar_s=dRbar_s_dt ddtimeR_s=dRbar_s_dtalphaL_m-Rbar_sL_mVifV>0dRbar_s_dtalphaL_m+2Rbar_d-Rbar_sL_m|V|ifV<0dRbar_s_dtalphaL_motherwise dAbar_s_dt=K_1R_s+-f-k_minus_1A_s+g_0+g_1VT_s ddtimeAbar_s=dAbar_s_dt ddtimeA_s=dAbar_s_dtalphaL_m-Abar_sL_mVifV>0dAbar_s_dtalphaL_m+2Abar_d-Abar_sL_m|V|ifV<0dAbar_s_dtalphaL_motherwise dTbar_s_dt=fA_s+-g_0-g_1V-k_minus_mT_s+K_mU_s ddtimeTbar_s=dTbar_s_dt ddtimeT_s=dTbar_s_dtalphaL_m-Tbar_sL_mVifV>0dTbar_s_dtalphaL_m+2Tbar_d-Tbar_sL_m|V|ifV<0dTbar_s_dtalphaL_motherwise dUbar_s_dt=k_minus_mT_s+-K_m-g_prime_0-g_prime_1VU_s ddtimeUbar_s=dUbar_s_dt ddtimeU_s=dUbar_s_dtalphaL_m-Ubar_sL_mVifV>0dUbar_s_dtalphaL_m+2Ubar_d-Ubar_sL_m|V|ifV<0dUbar_s_dtalphaL_motherwise

Component: double_overlap

ddtimeRbar_d=-K_1R_d+k_minus_1A_d+g_prime_0+g_prime_1VU_d R_d=Rbar_dalphaL_m ddtimeAbar_d=K_1R_d+-f-k_minus_1A_d+g_0+g_1VT_d A_d=Abar_dalphaL_m ddtimeTbar_d=fA_d+-g_0-g_1V-k_minus_mT_d+K_mU_d T_d=Tbar_dalphaL_m ddtimeUbar_d=k_minus_mT_d+-K_m-g_prime_0-g_prime_1VU_d U_d=Ubar_dalphaL_m

Component: calcium_flux

I_o=Q_oCa I_s=Q_s1--timetau_SR-timetau_SF+I_lCa_0 I_i=Q_i1--timetau_iR-timetau_iF+I_lCa_r I_u=Q_uCaK_mu+Ca ddtimeCa=I_s+I_i-I_o+I_u

Component: bound_calcium

BCa_L=A_s+T_s+A_d+T_d+A_n ddtimeBCa_h=2TRo-BCa_hCak_h-BCa_hk_minus_h

Component: force_equations

F_CB=F_bar-etaV F_CE=T_s+U_sF_CB F_PE=EDSLSp_0-1-1+eta_PEV_SLifSLSp_0-B1-SLSp_0+eta_PEV_SLotherwise F=F_CE+F_PE

Component: input

V=d_alpha_dt