Model Mathematics

Component: environment

Component: parameters

alpha_p=1-delta-alpha_pp C_T=1 e 6N_CN_Avo mu=FVRT

Component: ion_concentrations

ddtimeV=100 e -6

Component: rate_constants

ks_12=k0_12-nalpha_pmu2 k_12=ks_12Na_on k_21=k0_21nz_Naalpha_pmu2 k_23=k0_23glucose_o k_32=k0_32 k_34=k0_34-z_c+ndeltamu2 k_43=k0_43z_c+ndeltamu2 k_45=k0_45 k_54=k0_54_tempglucose_i k_25=k0_25-z_c+ndeltamu2 k_52_temp=k0_52z_c+ndeltamu2 k_56=k0_56-nz_Naalpha_ppmu2 k_65=k0_65Na_innz_Naalpha_ppmu2 k_61=k0_61z_cdeltamu2 k_16=k0_16-z_cdeltamu2 k_52=k0_12k_25k0_56k0_61k0_21k0_16k0_65 k0_54_temp=k0_23k_34k_45k_52k_43k_32k_25

Component: kinetic_equations

ddtimeC_1=k_21C_2+k_61C_6-k_12+k_16C_1 ddtimeC_2=k_12C_1+k_32C_3+k_52C_5-k_21+k_23+k_25C_2 ddtimeC_3=k_23C_2+k_43C_4-k_32+k_34C_3 ddtimeC_4=k_34C_3+k_54C_5-k_45+k_43C_4 ddtimeC_5=k_45C_4+k_65C_6+k_25C_2-k_54+k_52+k_56C_5 ddtimeC_6_temp=k_16C_1+k_56C_5-k_61+k_65C_6_temp C_6=C_T-C_1+C_2+C_3+C_4+C_5

Component: king_altman_states

C1_sum=k_21k_32k_43k_54k_65+k_21k_34k_45k_52k_65+k_21k_32k_45k_52k_65+k_21k_32k_43k_52k_65+k_25k_34k_45k_56k_61+k_23k_34k_45k_56k_61+k_21k_34k_45k_56k_61+k_25k_32k_45k_56k_61+k_21k_32k_45k_56k_61+k_25k_32k_43k_56k_61+k_21k_32k_43k_56k_61+k_21k_32k_43k_54k_61+k_21k_34k_45k_52k_61+k_21k_32k_45k_52k_61+k_21k_32k_43k_52k_61 C2_sum=k_16k_32k_43k_54k_65+k_12k_32k_43k_54k_65+k_16k_34k_45k_52k_65+k_12k_34k_45k_52k_65+k_16k_32k_45k_52k_65+k_12k_32k_45k_52k_65+k_16k_32k_43k_52k_65+k_12k_32k_43k_52k_65+k_12k_34k_45k_56k_61+k_12k_32k_45k_56k_61+k_12k_32k_43k_56k_61+k_12k_32k_43k_54k_61+k_12k_34k_45k_52k_61+k_12k_32k_45k_52k_61+k_12k_32k_43k_52k_61 C3_sum=k_16k_25k_43k_54k_65+k_12k_25k_43k_54k_65+k_16k_23k_43k_54k_65+k_12k_23k_43k_54k_65+k_16k_21k_43k_54k_65+k_16k_23k_45k_52k_65+k_12k_23k_45k_52k_65+k_16k_23k_43k_52k_65+k_12k_23k_43k_52k_65+k_12k_23k_45k_56k_61+k_12k_23k_43k_56k_61+k_12k_25k_43k_54k_61+k_12k_23k_43k_54k_61+k_12k_23k_45k_52k_61+k_12k_23k_43k_52k_61 C4_sum=k_16k_25k_34k_54k_65+k_12k_25k_34k_54k_65+k_16k_23k_34k_54k_65+k_12k_23k_34k_54k_65+k_16k_21k_34k_54k_65+k_16k_25k_32k_54k_65+k_12k_25k_32k_54k_65+k_16k_21k_32k_54k_65+k_16k_23k_34k_52k_65+k_12k_23k_34k_52k_65+k_12k_23k_34k_56k_61+k_12k_25k_34k_54k_61+k_12k_23k_34k_54k_61+k_12k_25k_32k_54k_61+k_12k_23k_34k_52k_61 C5_sum=k_16k_25k_34k_45k_65+k_12k_25k_34k_45k_65+k_16k_23k_34k_45k_65+k_12k_23k_34k_45k_65+k_16k_21k_34k_45k_65+k_16k_25k_32k_45k_65+k_12k_25k_32k_45k_65+k_16k_21k_32k_45k_65+k_16k_25k_32k_43k_65+k_12k_25k_32k_43k_65+k_16k_21k_32k_43k_65+k_12k_25k_34k_45k_61+k_12k_23k_34k_45k_61+k_12k_25k_32k_45k_61+k_12k_25k_32k_43k_61 C6_sum=k_16k_25k_34k_45k_56+k_12k_25k_34k_45k_56+k_16k_23k_34k_45k_56+k_12k_23k_34k_45k_56+k_16k_21k_34k_45k_56+k_16k_25k_32k_45k_56+k_12k_25k_32k_45k_56+k_16k_21k_32k_45k_56+k_16k_25k_32k_43k_56+k_12k_25k_32k_43k_56+k_16k_21k_32k_43k_56+k_16k_21k_32k_43k_54+k_16k_21k_34k_45k_52+k_16k_21k_32k_45k_52+k_16k_21k_32k_43k_52 C_sum=C1_sum+C2_sum+C3_sum+C4_sum+C5_sum+C6_sum C1=C_TC1_sumC_sum C2=C_TC2_sumC_sum C3=C_TC3_sumC_sum C4=C_TC4_sumC_sum C5=C_TC5_sumC_sum C6=C_TC6_sumC_sum

Component: NBC_current

I_NaGl_pSS=-Fnz_Naalpha_pk_12C_1-k_21C_2+z_cdeltak_16C_1-k_61C_6+nz_Naalpha_ppk_56C_5-k_65C_6 I_NaGl_SS=-Fz_ck_16C1-k_61C6+z_c+z_Nank_25C2-k_52C5+z_c+z_Nank_34C3-k_43C4 J_Na=k_25C2-k_52C5+k_34C3-k_43C4

Component: phenomonological_constants

lambda=ks_12k0_23k_43k_54k_65+ks_12k0_23k_34k_54k_65+ks_12k0_23k_45k_52k_65+ks_12k0_23k_43k_52k_65+ks_12k0_23k_34k_52k_65+ks_12k0_23k_34k_45k_65+ks_12k0_23k_45k_56k_61+ks_12k0_23k_43k_56k_61+ks_12k0_23k_34k_56k_61+ks_12k0_23k_43k_54k_61+ks_12k0_23k_34k_54k_61+ks_12k0_23k_45k_52k_61+ks_12k0_23k_43k_52k_61+ks_12k0_23k_34k_52k_61+ks_12k0_23k_34k_45k_61+ks_12k0_23k_34k_45k_56 chi=1lambdaks_12k_32k_43k_54k_65+ks_12k_25k_43k_54k_65+ks_12k_25k_34k_54k_65+ks_12k_25k_32k_54k_65+ks_12k_34k_45k_52k_65+ks_12k_32k_45k_52k_65+ks_12k_32k_43k_52k_65+ks_12k_25k_34k_45k_65+ks_12k_25k_32k_45k_65+ks_12k_25k_32k_43k_65+ks_12k_34k_45k_56k_61+ks_12k_32k_45k_56k_61+ks_12k_32k_43k_56k_61+ks_12k_32k_43k_54k_61+ks_12k_25k_43k_54k_61+ks_12k_25k_34k_54k_61+ks_12k_25k_32k_54k_61+ks_12k_34k_45k_52k_61+ks_12k_32k_45k_52k_61+ks_12k_32k_43k_52k_61+ks_12k_25k_34k_45k_61+ks_12k_25k_32k_45k_61+ks_12k_25k_32k_43k_61+ks_12k_25k_34k_45k_56+ks_12k_25k_32k_45k_56+ks_12k_25k_32k_43k_56 beta=1lambdak0_23k_16k_43k_54k_65+k0_23k_16k_34k_54k_65+k0_23k_16k_45k_52k_65+k0_23k_16k_43k_52k_65+k0_23k_16k_34k_52k_65+k0_23k_16k_34k_45k_65+k0_23k_34k_45k_56k_61+k0_23k_16k_34k_45k_56 alpha=1lambdak_21k_32k_43k_54k_65+k_16k_32k_43k_54k_65+k_16k_25k_43k_54k_65+k_16k_21k_43k_54k_65+k_16k_25k_34k_54k_65+k_16k_21k_34k_54k_65+k_16k_25k_32k_54k_65+k_16k_21k_32k_54k_65+k_21k_34k_45k_52k_65+k_16k_34k_45k_52k_65+k_21k_32k_45k_52k_65+k_16k_32k_45k_52k_65+k_21k_32k_43k_52k_65+k_16k_32k_43k_52k_65+k_16k_25k_34k_45k_65+k_16k_21k_34k_45k_65+k_16k_25k_32k_45k_65+k_16k_21k_32k_45k_65+k_16k_25k_32k_43k_65+k_16k_21k_32k_43k_65+k_25k_34k_45k_56k_61+k_21k_34k_45k_56k_61+k_25k_32k_45k_56k_61+k_21k_32k_45k_56k_61+k_25k_32k_43k_56k_61+k_21k_32k_43k_56k_61+k_21k_32k_43k_54k_61+k_21k_34k_45k_52k_61+k_21k_32k_45k_52k_61+k_21k_32k_43k_52k_61+k_16k_25k_34k_45k_56+k_16k_21k_34k_45k_56+k_16k_25k_32k_45k_56+k_16k_21k_32k_45k_56+k_16k_25k_32k_43k_56+k_16k_21k_32k_43k_56+k_16k_21k_32k_43k_54+k_16k_21k_34k_45k_52+k_16k_21k_32k_45k_52+k_16k_21k_32k_43k_52 gamma=1lambdak_16k_21k_32k_43k_54k_65+k_16k_21k_34k_45k_52k_65+k_16k_21k_32k_45k_52k_65+k_16k_21k_32k_43k_52k_65 phi=1lambda-ks_12k_25k_34k_45k_56k_61-ks_12k_25k_32k_45k_56k_61-ks_12k_25k_32k_43k_56k_61 epsilon=1lambda-ks_12k0_23k_34k_45k_56k_61 Imax_gluc=2FC_TepsilonNa_obeta+Na_o Imax_Na=2FC_Tphi+epsilonglucose_ochi+glucose_o Khalf_gluc=alpha+chiNa_obeta+Na_o Khalf_Na=alpha+betaglucose_ochi+glucose_o
Source
Derived from workspace Mackenzie, Loo, Panayotova-Heiermann and Wright, 1996 at changeset b0a32e5099ae.
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