/* There are a total of 32 entries in the algebraic variable array. There are a total of 7 entries in each of the rate and state variable arrays. There are a total of 22 entries in the constant variable array. */ /* * VOI is t in component environment (second). * CONSTANTS[0] is C_m in component environment (fF). * STATES[0] is q_K_o in component environment (fmol). * STATES[1] is q_K_i in component environment (fmol). * STATES[2] is q_Sa in component environment (fmol). * STATES[3] is q_Sb in component environment (fmol). * STATES[4] is q_Sc in component environment (fmol). * STATES[5] is q_Sd in component environment (fmol). * STATES[6] is q_mem in component environment (fC). * ALGEBRAIC[0] is Vmem in component environment (volt). * CONSTANTS[1] is R in component environment (J_per_K_per_mol). * CONSTANTS[2] is T in component environment (kelvin). * CONSTANTS[3] is F in component environment (C_per_mol). * ALGEBRAIC[22] is v_Kr in component Kr (fmol_per_sec). * ALGEBRAIC[29] is I_mem_Kr in component Kr (fA). * ALGEBRAIC[2] is I_stim in component environment (fA). * CONSTANTS[4] is stimPeriod in component environment (second). * CONSTANTS[5] is stimDuration in component environment (second). * ALGEBRAIC[1] is tPeriod in component environment (second). * ALGEBRAIC[24] is i_Kr in component environment (uA_per_uF). * CONSTANTS[6] is kappa_Kr in component Kr_parameters (fmol_per_sec). * CONSTANTS[7] is kappa_xr10 in component Kr_parameters (fmol_per_sec). * CONSTANTS[8] is kappa_xr11 in component Kr_parameters (fmol_per_sec). * CONSTANTS[9] is kappa_xr20 in component Kr_parameters (fmol_per_sec). * CONSTANTS[10] is kappa_xr21 in component Kr_parameters (fmol_per_sec). * CONSTANTS[11] is K_K_i in component Kr_parameters (per_fmol). * CONSTANTS[12] is K_K_o in component Kr_parameters (per_fmol). * CONSTANTS[13] is K_Sa_Kr in component Kr_parameters (per_fmol). * CONSTANTS[14] is K_Sb_Kr in component Kr_parameters (per_fmol). * CONSTANTS[15] is K_Sc_Kr in component Kr_parameters (per_fmol). * CONSTANTS[16] is K_Sd_Kr in component Kr_parameters (per_fmol). * CONSTANTS[17] is zK in component Kr_parameters (dimensionless). * CONSTANTS[18] is z_xr1_f in component Kr_parameters (dimensionless). * CONSTANTS[19] is z_xr1_r in component Kr_parameters (dimensionless). * CONSTANTS[20] is z_xr2_f in component Kr_parameters (dimensionless). * CONSTANTS[21] is z_xr2_r in component Kr_parameters (dimensionless). * ALGEBRAIC[3] is u_K_i in component Kr (J_per_mol). * ALGEBRAIC[4] is u_K_o in component Kr (J_per_mol). * ALGEBRAIC[5] is V_mem in component Kr (J_per_C). * ALGEBRAIC[6] is Am_Kr in component Kr (J_per_mol). * ALGEBRAIC[20] is Af_Kr in component Kr (J_per_mol). * ALGEBRAIC[21] is Ar_Kr in component Kr (J_per_mol). * ALGEBRAIC[18] is v_Sa in component Kr (fmol_per_sec). * ALGEBRAIC[30] is v_Sb in component Kr (fmol_per_sec). * ALGEBRAIC[28] is v_Sc in component Kr (fmol_per_sec). * ALGEBRAIC[31] is v_Sd in component Kr (fmol_per_sec). * ALGEBRAIC[13] is v_x10 in component Kr (fmol_per_sec). * ALGEBRAIC[26] is v_x11 in component Kr (fmol_per_sec). * ALGEBRAIC[17] is v_x20 in component Kr (fmol_per_sec). * ALGEBRAIC[27] is v_x21 in component Kr (fmol_per_sec). * ALGEBRAIC[7] is mu_Sa in component Kr (J_per_mol). * ALGEBRAIC[10] is mu_Sb in component Kr (J_per_mol). * ALGEBRAIC[14] is mu_Sc in component Kr (J_per_mol). * ALGEBRAIC[19] is mu_Sd in component Kr (J_per_mol). * ALGEBRAIC[8] is Af_x10 in component Kr (J_per_mol). * ALGEBRAIC[11] is Ar_x10 in component Kr (J_per_mol). * ALGEBRAIC[15] is Af_x11 in component Kr (J_per_mol). * ALGEBRAIC[23] is Ar_x11 in component Kr (J_per_mol). * ALGEBRAIC[9] is Af_x20 in component Kr (J_per_mol). * ALGEBRAIC[16] is Ar_x20 in component Kr (J_per_mol). * ALGEBRAIC[12] is Af_x21 in component Kr (J_per_mol). * ALGEBRAIC[25] is Ar_x21 in component Kr (J_per_mol). * RATES[1] is d/dt q_K_i in component environment (fmol). * RATES[0] is d/dt q_K_o in component environment (fmol). * RATES[6] is d/dt q_mem in component environment (fC). * RATES[2] is d/dt q_Sa in component environment (fmol). * RATES[3] is d/dt q_Sb in component environment (fmol). * RATES[4] is d/dt q_Sc in component environment (fmol). * RATES[5] is d/dt q_Sd in component environment (fmol). */ void initConsts(double* CONSTANTS, double* RATES, double *STATES) { CONSTANTS[0] = 153400; STATES[0] = 27.9828; STATES[1] = 5510; STATES[2] = 1.598306E-07; STATES[3] = 1.598306E-07; STATES[4] = 1.598306E-07; STATES[5] = 1.598306E-07; STATES[6] = -13039; CONSTANTS[1] = 8.31; CONSTANTS[2] = 310; CONSTANTS[3] = 96500; CONSTANTS[4] = 1; CONSTANTS[5] = 0.0001; CONSTANTS[6] = 271.854; CONSTANTS[7] = 2.51352; CONSTANTS[8] = 0.0672974; CONSTANTS[9] = 8.45146; CONSTANTS[10] = 68.9799; CONSTANTS[11] = 1.94622; CONSTANTS[12] = 12.9197; CONSTANTS[13] = 1.47312; CONSTANTS[14] = 0.180487; CONSTANTS[15] = 55.02; CONSTANTS[16] = 6.74109; CONSTANTS[17] = 1; CONSTANTS[18] = 1.6149028778859738; CONSTANTS[19] = -1.3218634652232777; CONSTANTS[20] = -1.0273976425216251; CONSTANTS[21] = -0.18153135376657775; } void computeRates(double VOI, double* CONSTANTS, double* RATES, double* STATES, double* ALGEBRAIC) { ALGEBRAIC[5] = STATES[6]/CONSTANTS[0]; ALGEBRAIC[7] = CONSTANTS[1]*CONSTANTS[2]*log( CONSTANTS[13]*STATES[2]); ALGEBRAIC[8] = ALGEBRAIC[7]+ CONSTANTS[18]*CONSTANTS[3]*ALGEBRAIC[5]; ALGEBRAIC[10] = CONSTANTS[1]*CONSTANTS[2]*log( CONSTANTS[14]*STATES[3]); ALGEBRAIC[11] = ALGEBRAIC[10]+ CONSTANTS[19]*CONSTANTS[3]*ALGEBRAIC[5]; ALGEBRAIC[13] = CONSTANTS[7]*(exp(ALGEBRAIC[8]/( CONSTANTS[1]*CONSTANTS[2])) - exp(ALGEBRAIC[11]/( CONSTANTS[1]*CONSTANTS[2]))); ALGEBRAIC[9] = ALGEBRAIC[7]+ CONSTANTS[20]*CONSTANTS[3]*ALGEBRAIC[5]; ALGEBRAIC[14] = CONSTANTS[1]*CONSTANTS[2]*log( CONSTANTS[15]*STATES[4]); ALGEBRAIC[16] = ALGEBRAIC[14]+ CONSTANTS[21]*CONSTANTS[3]*ALGEBRAIC[5]; ALGEBRAIC[17] = CONSTANTS[9]*(exp(ALGEBRAIC[9]/( CONSTANTS[1]*CONSTANTS[2])) - exp(ALGEBRAIC[16]/( CONSTANTS[1]*CONSTANTS[2]))); ALGEBRAIC[18] = - ALGEBRAIC[13] - ALGEBRAIC[17]; RATES[2] = ALGEBRAIC[18]; ALGEBRAIC[6] = CONSTANTS[17]*CONSTANTS[3]*ALGEBRAIC[5]; ALGEBRAIC[3] = CONSTANTS[1]*CONSTANTS[2]*log( CONSTANTS[11]*STATES[1]); ALGEBRAIC[19] = CONSTANTS[1]*CONSTANTS[2]*log( CONSTANTS[16]*STATES[5]); ALGEBRAIC[20] = ALGEBRAIC[19]+ALGEBRAIC[3]+ALGEBRAIC[6]; ALGEBRAIC[4] = CONSTANTS[1]*CONSTANTS[2]*log( CONSTANTS[12]*STATES[0]); ALGEBRAIC[21] = ALGEBRAIC[19]+ALGEBRAIC[4]; ALGEBRAIC[22] = (ALGEBRAIC[6]==0.00000 ? 1.00000*CONSTANTS[6]*(exp(ALGEBRAIC[20]/( CONSTANTS[1]*CONSTANTS[2])) - exp(ALGEBRAIC[21]/( CONSTANTS[1]*CONSTANTS[2]))) : ((( 1.00000*CONSTANTS[6]*ALGEBRAIC[6])/( CONSTANTS[1]*CONSTANTS[2]))/(exp(ALGEBRAIC[6]/( CONSTANTS[1]*CONSTANTS[2])) - 1.00000))*(exp(ALGEBRAIC[20]/( CONSTANTS[1]*CONSTANTS[2])) - exp(ALGEBRAIC[21]/( CONSTANTS[1]*CONSTANTS[2])))); RATES[1] = - ALGEBRAIC[22]; RATES[0] = ALGEBRAIC[22]; ALGEBRAIC[15] = ALGEBRAIC[14]+ CONSTANTS[18]*CONSTANTS[3]*ALGEBRAIC[5]; ALGEBRAIC[23] = ALGEBRAIC[19]+ CONSTANTS[19]*CONSTANTS[3]*ALGEBRAIC[5]; ALGEBRAIC[26] = CONSTANTS[8]*(exp(ALGEBRAIC[15]/( CONSTANTS[1]*CONSTANTS[2])) - exp(ALGEBRAIC[23]/( CONSTANTS[1]*CONSTANTS[2]))); ALGEBRAIC[28] = ALGEBRAIC[17] - ALGEBRAIC[26]; RATES[4] = ALGEBRAIC[28]; ALGEBRAIC[12] = ALGEBRAIC[10]+ CONSTANTS[20]*CONSTANTS[3]*ALGEBRAIC[5]; ALGEBRAIC[25] = ALGEBRAIC[19]+ CONSTANTS[21]*CONSTANTS[3]*ALGEBRAIC[5]; ALGEBRAIC[27] = CONSTANTS[10]*(exp(ALGEBRAIC[12]/( CONSTANTS[1]*CONSTANTS[2])) - exp(ALGEBRAIC[25]/( CONSTANTS[1]*CONSTANTS[2]))); ALGEBRAIC[29] = CONSTANTS[3]*( - CONSTANTS[17]*ALGEBRAIC[22]+ ALGEBRAIC[13]*(CONSTANTS[19] - CONSTANTS[18])+ ALGEBRAIC[26]*(CONSTANTS[19] - CONSTANTS[19])+ ALGEBRAIC[17]*(CONSTANTS[21] - CONSTANTS[20])+ ALGEBRAIC[27]*(CONSTANTS[21] - CONSTANTS[20])); ALGEBRAIC[1] = VOI - floor(VOI/CONSTANTS[4])*CONSTANTS[4]; ALGEBRAIC[2] = (ALGEBRAIC[1]>=0.300000&&ALGEBRAIC[1]<=0.300000+CONSTANTS[5] ? ( 0.00000*0.0750000*CONSTANTS[0])/CONSTANTS[5] : 0.00000); RATES[6] = ALGEBRAIC[29]+ALGEBRAIC[2]; ALGEBRAIC[30] = ALGEBRAIC[13] - ALGEBRAIC[27]; RATES[3] = ALGEBRAIC[30]; ALGEBRAIC[31] = ALGEBRAIC[26]+ALGEBRAIC[27]; RATES[5] = ALGEBRAIC[31]; } void computeVariables(double VOI, double* CONSTANTS, double* RATES, double* STATES, double* ALGEBRAIC) { ALGEBRAIC[5] = STATES[6]/CONSTANTS[0]; ALGEBRAIC[7] = CONSTANTS[1]*CONSTANTS[2]*log( CONSTANTS[13]*STATES[2]); ALGEBRAIC[8] = ALGEBRAIC[7]+ CONSTANTS[18]*CONSTANTS[3]*ALGEBRAIC[5]; ALGEBRAIC[10] = CONSTANTS[1]*CONSTANTS[2]*log( CONSTANTS[14]*STATES[3]); ALGEBRAIC[11] = ALGEBRAIC[10]+ CONSTANTS[19]*CONSTANTS[3]*ALGEBRAIC[5]; ALGEBRAIC[13] = CONSTANTS[7]*(exp(ALGEBRAIC[8]/( CONSTANTS[1]*CONSTANTS[2])) - exp(ALGEBRAIC[11]/( CONSTANTS[1]*CONSTANTS[2]))); ALGEBRAIC[9] = ALGEBRAIC[7]+ CONSTANTS[20]*CONSTANTS[3]*ALGEBRAIC[5]; ALGEBRAIC[14] = CONSTANTS[1]*CONSTANTS[2]*log( CONSTANTS[15]*STATES[4]); ALGEBRAIC[16] = ALGEBRAIC[14]+ CONSTANTS[21]*CONSTANTS[3]*ALGEBRAIC[5]; ALGEBRAIC[17] = CONSTANTS[9]*(exp(ALGEBRAIC[9]/( CONSTANTS[1]*CONSTANTS[2])) - exp(ALGEBRAIC[16]/( CONSTANTS[1]*CONSTANTS[2]))); ALGEBRAIC[18] = - ALGEBRAIC[13] - ALGEBRAIC[17]; ALGEBRAIC[6] = CONSTANTS[17]*CONSTANTS[3]*ALGEBRAIC[5]; ALGEBRAIC[3] = CONSTANTS[1]*CONSTANTS[2]*log( CONSTANTS[11]*STATES[1]); ALGEBRAIC[19] = CONSTANTS[1]*CONSTANTS[2]*log( CONSTANTS[16]*STATES[5]); ALGEBRAIC[20] = ALGEBRAIC[19]+ALGEBRAIC[3]+ALGEBRAIC[6]; ALGEBRAIC[4] = CONSTANTS[1]*CONSTANTS[2]*log( CONSTANTS[12]*STATES[0]); ALGEBRAIC[21] = ALGEBRAIC[19]+ALGEBRAIC[4]; ALGEBRAIC[22] = (ALGEBRAIC[6]==0.00000 ? 1.00000*CONSTANTS[6]*(exp(ALGEBRAIC[20]/( CONSTANTS[1]*CONSTANTS[2])) - exp(ALGEBRAIC[21]/( CONSTANTS[1]*CONSTANTS[2]))) : ((( 1.00000*CONSTANTS[6]*ALGEBRAIC[6])/( CONSTANTS[1]*CONSTANTS[2]))/(exp(ALGEBRAIC[6]/( CONSTANTS[1]*CONSTANTS[2])) - 1.00000))*(exp(ALGEBRAIC[20]/( CONSTANTS[1]*CONSTANTS[2])) - exp(ALGEBRAIC[21]/( CONSTANTS[1]*CONSTANTS[2])))); ALGEBRAIC[15] = ALGEBRAIC[14]+ CONSTANTS[18]*CONSTANTS[3]*ALGEBRAIC[5]; ALGEBRAIC[23] = ALGEBRAIC[19]+ CONSTANTS[19]*CONSTANTS[3]*ALGEBRAIC[5]; ALGEBRAIC[26] = CONSTANTS[8]*(exp(ALGEBRAIC[15]/( CONSTANTS[1]*CONSTANTS[2])) - exp(ALGEBRAIC[23]/( CONSTANTS[1]*CONSTANTS[2]))); ALGEBRAIC[28] = ALGEBRAIC[17] - ALGEBRAIC[26]; ALGEBRAIC[12] = ALGEBRAIC[10]+ CONSTANTS[20]*CONSTANTS[3]*ALGEBRAIC[5]; ALGEBRAIC[25] = ALGEBRAIC[19]+ CONSTANTS[21]*CONSTANTS[3]*ALGEBRAIC[5]; ALGEBRAIC[27] = CONSTANTS[10]*(exp(ALGEBRAIC[12]/( CONSTANTS[1]*CONSTANTS[2])) - exp(ALGEBRAIC[25]/( CONSTANTS[1]*CONSTANTS[2]))); ALGEBRAIC[29] = CONSTANTS[3]*( - CONSTANTS[17]*ALGEBRAIC[22]+ ALGEBRAIC[13]*(CONSTANTS[19] - CONSTANTS[18])+ ALGEBRAIC[26]*(CONSTANTS[19] - CONSTANTS[19])+ ALGEBRAIC[17]*(CONSTANTS[21] - CONSTANTS[20])+ ALGEBRAIC[27]*(CONSTANTS[21] - CONSTANTS[20])); ALGEBRAIC[1] = VOI - floor(VOI/CONSTANTS[4])*CONSTANTS[4]; ALGEBRAIC[2] = (ALGEBRAIC[1]>=0.300000&&ALGEBRAIC[1]<=0.300000+CONSTANTS[5] ? ( 0.00000*0.0750000*CONSTANTS[0])/CONSTANTS[5] : 0.00000); ALGEBRAIC[30] = ALGEBRAIC[13] - ALGEBRAIC[27]; ALGEBRAIC[31] = ALGEBRAIC[26]+ALGEBRAIC[27]; rootfind_0(VOI, CONSTANTS, RATES, STATES, ALGEBRAIC, pret); ALGEBRAIC[24] = (( 1.00000e-09*CONSTANTS[3])/CONSTANTS[0])*ALGEBRAIC[22]; } void objfunc_0(double *p, double *hx, int m, int n, void *adata) { struct rootfind_info* rfi = (struct rootfind_info*)adata; #define VOI rfi->aVOI #define CONSTANTS rfi->aCONSTANTS #define RATES rfi->aRATES #define STATES rfi->aSTATES #define ALGEBRAIC rfi->aALGEBRAIC #define pret rfi->aPRET ALGEBRAIC[0] = *p; *hx = (STATES[6]) - ( ALGEBRAIC[0]*CONSTANTS[0]); #undef VOI #undef CONSTANTS #undef RATES #undef STATES #undef ALGEBRAIC #undef pret } void rootfind_0(double VOI, double* CONSTANTS, double* RATES, double* STATES, double* ALGEBRAIC, int* pret) { static double val = 0.1; double bp, work[LM_DIF_WORKSZ(1, 1)]; struct rootfind_info rfi; rfi.aVOI = VOI; rfi.aCONSTANTS = CONSTANTS; rfi.aRATES = RATES; rfi.aSTATES = STATES; rfi.aALGEBRAIC = ALGEBRAIC; rfi.aPRET = pret; do_levmar(objfunc_0, &val, &bp, work, pret, 1, &rfi); ALGEBRAIC[0] = val; }