/* There are a total of 27 entries in the algebraic variable array. There are a total of 6 entries in each of the rate and state variable arrays. There are a total of 27 entries in the constant variable array. */ /* * VOI is time in component environment (second). * CONSTANTS[0] is C_m in component environment (fF). * STATES[0] is q_Ca_o in component environment (fmol). * STATES[1] is q_Ca_i in component environment (fmol). * STATES[2] is q_s00_TCC in component environment (fmol). * STATES[3] is q_s10_TCC in component environment (fmol). * STATES[4] is q_s01_TCC in component environment (fmol). * STATES[5] is q_s11_TCC in component environment (fmol). * CONSTANTS[1] is q_mem in component environment (fC). * CONSTANTS[23] is V_mem in component environment (volt). * CONSTANTS[2] is R in component environment (J_per_K_per_mol). * CONSTANTS[3] is T in component environment (kelvin). * CONSTANTS[4] is F in component environment (C_per_mol). * ALGEBRAIC[18] is v_TCC in component TCC (fmol_per_sec). * ALGEBRAIC[24] is I_mem_TCC in component TCC (fA). * CONSTANTS[24] is I_stim in component environment (fA). * CONSTANTS[5] is stimPeriod in component environment (second). * CONSTANTS[6] is stimDuration in component environment (second). * ALGEBRAIC[0] is tPeriod in component environment (second). * CONSTANTS[7] is kappa_TCC in component TCC_parameters (fmol_per_sec). * CONSTANTS[8] is kappa_R1_TCC in component TCC_parameters (fmol_per_sec). * CONSTANTS[9] is kappa_R2_TCC in component TCC_parameters (fmol_per_sec). * CONSTANTS[10] is kappa_R3_TCC in component TCC_parameters (fmol_per_sec). * CONSTANTS[11] is kappa_R4_TCC in component TCC_parameters (fmol_per_sec). * CONSTANTS[12] is K_Ca_i in component TCC_parameters (per_fmol). * CONSTANTS[13] is K_Ca_o in component TCC_parameters (per_fmol). * CONSTANTS[14] is K_S00_TCC in component TCC_parameters (per_fmol). * CONSTANTS[15] is K_S10_TCC in component TCC_parameters (per_fmol). * CONSTANTS[16] is K_S01_TCC in component TCC_parameters (per_fmol). * CONSTANTS[17] is K_S11_TCC in component TCC_parameters (per_fmol). * CONSTANTS[18] is zCa in component TCC_parameters (dimensionless). * CONSTANTS[19] is z_df in component TCC_parameters (dimensionless). * CONSTANTS[20] is z_ff in component TCC_parameters (dimensionless). * CONSTANTS[21] is z_dr in component TCC_parameters (dimensionless). * CONSTANTS[22] is z_fr in component TCC_parameters (dimensionless). * ALGEBRAIC[1] is u_Ca_i in component TCC (J_per_mol). * ALGEBRAIC[2] is u_Ca_o in component TCC (J_per_mol). * CONSTANTS[25] is V_mem in component TCC (J_per_C). * CONSTANTS[26] is Am_TCC in component TCC (J_per_mol). * ALGEBRAIC[16] is Af_Ca in component TCC (J_per_mol). * ALGEBRAIC[17] is Ar_Ca in component TCC (J_per_mol). * ALGEBRAIC[14] is v_s00_TCC in component TCC (fmol_per_sec). * ALGEBRAIC[25] is v_s10_TCC in component TCC (fmol_per_sec). * ALGEBRAIC[22] is v_s01_TCC in component TCC (fmol_per_sec). * ALGEBRAIC[26] is v_s11_TCC in component TCC (fmol_per_sec). * ALGEBRAIC[9] is v_R1_TCC in component TCC (fmol_per_sec). * ALGEBRAIC[21] is v_R2_TCC in component TCC (fmol_per_sec). * ALGEBRAIC[13] is v_R3_TCC in component TCC (fmol_per_sec). * ALGEBRAIC[23] is v_R4_TCC in component TCC (fmol_per_sec). * ALGEBRAIC[3] is mu_s00_TCC in component TCC (J_per_mol). * ALGEBRAIC[6] is mu_s10_TCC in component TCC (J_per_mol). * ALGEBRAIC[10] is mu_s01_TCC in component TCC (J_per_mol). * ALGEBRAIC[15] is mu_s11_TCC in component TCC (J_per_mol). * ALGEBRAIC[4] is Af_R1_TCC in component TCC (J_per_mol). * ALGEBRAIC[7] is Ar_R1_TCC in component TCC (J_per_mol). * ALGEBRAIC[11] is Af_R2_TCC in component TCC (J_per_mol). * ALGEBRAIC[19] is Ar_R2_TCC in component TCC (J_per_mol). * ALGEBRAIC[5] is Af_R3_TCC in component TCC (J_per_mol). * ALGEBRAIC[12] is Ar_R3_TCC in component TCC (J_per_mol). * ALGEBRAIC[8] is Af_R4_TCC in component TCC (J_per_mol). * ALGEBRAIC[20] is Ar_R4_TCC in component TCC (J_per_mol). * RATES[1] is d/dt q_Ca_i in component environment (fmol). * RATES[0] is d/dt q_Ca_o in component environment (fmol). * RATES[2] is d/dt q_s00_TCC in component environment (fmol). * RATES[3] is d/dt q_s10_TCC in component environment (fmol). * RATES[4] is d/dt q_s01_TCC in component environment (fmol). * RATES[5] is d/dt q_s11_TCC in component environment (fmol). */ void initConsts(double* CONSTANTS, double* RATES, double *STATES) { CONSTANTS[0] = 153400; STATES[0] = 9.3276; STATES[1] = 0.00456; STATES[2] = 3.653271338425772e-07; STATES[3] = 1e-16; STATES[4] = 1e-16; STATES[5] = 1e-16; CONSTANTS[1] = -13039; CONSTANTS[2] = 8.31; CONSTANTS[3] = 310; CONSTANTS[4] = 96500; CONSTANTS[5] = 1; CONSTANTS[6] = 0.0001; CONSTANTS[7] = 5746.42; CONSTANTS[8] = 1266.14; CONSTANTS[9] = 4.33488; CONSTANTS[10] = 1.34962; CONSTANTS[11] = 7.44777; CONSTANTS[12] = 2.20364; CONSTANTS[13] = 14.6286; CONSTANTS[14] = 2.10659; CONSTANTS[15] = 0.381738; CONSTANTS[16] = 615.294; CONSTANTS[17] = 111.498; CONSTANTS[18] = 2; CONSTANTS[19] = 0.876568910405296; CONSTANTS[20] = -0.576510778245838; CONSTANTS[21] = -0.872117216889333; CONSTANTS[22] = 1.73582739545622; rootfind_0(VOI, CONSTANTS, RATES, STATES, ALGEBRAIC, pret); CONSTANTS[24] = 0.00000; CONSTANTS[25] = CONSTANTS[1]/CONSTANTS[0]; CONSTANTS[26] = CONSTANTS[18]*CONSTANTS[4]*CONSTANTS[25]; } void computeRates(double VOI, double* CONSTANTS, double* RATES, double* STATES, double* ALGEBRAIC) { ALGEBRAIC[3] = CONSTANTS[2]*CONSTANTS[3]*log( CONSTANTS[14]*STATES[2]); ALGEBRAIC[4] = ALGEBRAIC[3]+ CONSTANTS[19]*CONSTANTS[4]*CONSTANTS[25]; ALGEBRAIC[6] = CONSTANTS[2]*CONSTANTS[3]*log( CONSTANTS[15]*STATES[3]); ALGEBRAIC[7] = ALGEBRAIC[6]+ CONSTANTS[21]*CONSTANTS[4]*CONSTANTS[25]; ALGEBRAIC[9] = CONSTANTS[8]*(exp(ALGEBRAIC[4]/( CONSTANTS[2]*CONSTANTS[3])) - exp(ALGEBRAIC[7]/( CONSTANTS[2]*CONSTANTS[3]))); ALGEBRAIC[5] = ALGEBRAIC[3]+ CONSTANTS[20]*CONSTANTS[4]*CONSTANTS[25]; ALGEBRAIC[10] = CONSTANTS[2]*CONSTANTS[3]*log( CONSTANTS[16]*STATES[4]); ALGEBRAIC[12] = ALGEBRAIC[10]+ CONSTANTS[22]*CONSTANTS[4]*CONSTANTS[25]; ALGEBRAIC[13] = CONSTANTS[10]*(exp(ALGEBRAIC[5]/( CONSTANTS[2]*CONSTANTS[3])) - exp(ALGEBRAIC[12]/( CONSTANTS[2]*CONSTANTS[3]))); ALGEBRAIC[14] = - ALGEBRAIC[9] - ALGEBRAIC[13]; RATES[2] = ALGEBRAIC[14]; ALGEBRAIC[1] = CONSTANTS[2]*CONSTANTS[3]*log( CONSTANTS[12]*STATES[1]); ALGEBRAIC[15] = CONSTANTS[2]*CONSTANTS[3]*log( CONSTANTS[17]*STATES[5]); ALGEBRAIC[16] = ALGEBRAIC[15]+ALGEBRAIC[1]+CONSTANTS[26]; ALGEBRAIC[2] = CONSTANTS[2]*CONSTANTS[3]*log( CONSTANTS[13]*STATES[0]); ALGEBRAIC[17] = ALGEBRAIC[15]+ALGEBRAIC[2]; ALGEBRAIC[18] = (CONSTANTS[26]==0.00000 ? CONSTANTS[7]*(exp(ALGEBRAIC[16]/( CONSTANTS[2]*CONSTANTS[3])) - exp(ALGEBRAIC[17]/( CONSTANTS[2]*CONSTANTS[3]))) : ((( CONSTANTS[7]*CONSTANTS[26])/( CONSTANTS[2]*CONSTANTS[3]))/(exp(CONSTANTS[26]/( CONSTANTS[2]*CONSTANTS[3])) - 1.00000))*(exp(ALGEBRAIC[16]/( CONSTANTS[2]*CONSTANTS[3])) - exp(ALGEBRAIC[17]/( CONSTANTS[2]*CONSTANTS[3])))); RATES[1] = - ALGEBRAIC[18]; RATES[0] = ALGEBRAIC[18]; ALGEBRAIC[11] = ALGEBRAIC[10]+ CONSTANTS[19]*CONSTANTS[4]*CONSTANTS[25]; ALGEBRAIC[19] = ALGEBRAIC[15]+ CONSTANTS[21]*CONSTANTS[4]*CONSTANTS[25]; ALGEBRAIC[21] = CONSTANTS[9]*(exp(ALGEBRAIC[11]/( CONSTANTS[2]*CONSTANTS[3])) - exp(ALGEBRAIC[19]/( CONSTANTS[2]*CONSTANTS[3]))); ALGEBRAIC[22] = ALGEBRAIC[13] - ALGEBRAIC[21]; RATES[4] = ALGEBRAIC[22]; ALGEBRAIC[8] = ALGEBRAIC[6]+ CONSTANTS[20]*CONSTANTS[4]*CONSTANTS[25]; ALGEBRAIC[20] = ALGEBRAIC[15]+ CONSTANTS[22]*CONSTANTS[4]*CONSTANTS[25]; ALGEBRAIC[23] = CONSTANTS[11]*(exp(ALGEBRAIC[8]/( CONSTANTS[2]*CONSTANTS[3])) - exp(ALGEBRAIC[20]/( CONSTANTS[2]*CONSTANTS[3]))); ALGEBRAIC[25] = ALGEBRAIC[9] - ALGEBRAIC[23]; RATES[3] = ALGEBRAIC[25]; ALGEBRAIC[26] = ALGEBRAIC[21]+ALGEBRAIC[23]; RATES[5] = ALGEBRAIC[26]; } void computeVariables(double VOI, double* CONSTANTS, double* RATES, double* STATES, double* ALGEBRAIC) { ALGEBRAIC[3] = CONSTANTS[2]*CONSTANTS[3]*log( CONSTANTS[14]*STATES[2]); ALGEBRAIC[4] = ALGEBRAIC[3]+ CONSTANTS[19]*CONSTANTS[4]*CONSTANTS[25]; ALGEBRAIC[6] = CONSTANTS[2]*CONSTANTS[3]*log( CONSTANTS[15]*STATES[3]); ALGEBRAIC[7] = ALGEBRAIC[6]+ CONSTANTS[21]*CONSTANTS[4]*CONSTANTS[25]; ALGEBRAIC[9] = CONSTANTS[8]*(exp(ALGEBRAIC[4]/( CONSTANTS[2]*CONSTANTS[3])) - exp(ALGEBRAIC[7]/( CONSTANTS[2]*CONSTANTS[3]))); ALGEBRAIC[5] = ALGEBRAIC[3]+ CONSTANTS[20]*CONSTANTS[4]*CONSTANTS[25]; ALGEBRAIC[10] = CONSTANTS[2]*CONSTANTS[3]*log( CONSTANTS[16]*STATES[4]); ALGEBRAIC[12] = ALGEBRAIC[10]+ CONSTANTS[22]*CONSTANTS[4]*CONSTANTS[25]; ALGEBRAIC[13] = CONSTANTS[10]*(exp(ALGEBRAIC[5]/( CONSTANTS[2]*CONSTANTS[3])) - exp(ALGEBRAIC[12]/( CONSTANTS[2]*CONSTANTS[3]))); ALGEBRAIC[14] = - ALGEBRAIC[9] - ALGEBRAIC[13]; ALGEBRAIC[1] = CONSTANTS[2]*CONSTANTS[3]*log( CONSTANTS[12]*STATES[1]); ALGEBRAIC[15] = CONSTANTS[2]*CONSTANTS[3]*log( CONSTANTS[17]*STATES[5]); ALGEBRAIC[16] = ALGEBRAIC[15]+ALGEBRAIC[1]+CONSTANTS[26]; ALGEBRAIC[2] = CONSTANTS[2]*CONSTANTS[3]*log( CONSTANTS[13]*STATES[0]); ALGEBRAIC[17] = ALGEBRAIC[15]+ALGEBRAIC[2]; ALGEBRAIC[18] = (CONSTANTS[26]==0.00000 ? CONSTANTS[7]*(exp(ALGEBRAIC[16]/( CONSTANTS[2]*CONSTANTS[3])) - exp(ALGEBRAIC[17]/( CONSTANTS[2]*CONSTANTS[3]))) : ((( CONSTANTS[7]*CONSTANTS[26])/( CONSTANTS[2]*CONSTANTS[3]))/(exp(CONSTANTS[26]/( CONSTANTS[2]*CONSTANTS[3])) - 1.00000))*(exp(ALGEBRAIC[16]/( CONSTANTS[2]*CONSTANTS[3])) - exp(ALGEBRAIC[17]/( CONSTANTS[2]*CONSTANTS[3])))); ALGEBRAIC[11] = ALGEBRAIC[10]+ CONSTANTS[19]*CONSTANTS[4]*CONSTANTS[25]; ALGEBRAIC[19] = ALGEBRAIC[15]+ CONSTANTS[21]*CONSTANTS[4]*CONSTANTS[25]; ALGEBRAIC[21] = CONSTANTS[9]*(exp(ALGEBRAIC[11]/( CONSTANTS[2]*CONSTANTS[3])) - exp(ALGEBRAIC[19]/( CONSTANTS[2]*CONSTANTS[3]))); ALGEBRAIC[22] = ALGEBRAIC[13] - ALGEBRAIC[21]; ALGEBRAIC[8] = ALGEBRAIC[6]+ CONSTANTS[20]*CONSTANTS[4]*CONSTANTS[25]; ALGEBRAIC[20] = ALGEBRAIC[15]+ CONSTANTS[22]*CONSTANTS[4]*CONSTANTS[25]; ALGEBRAIC[23] = CONSTANTS[11]*(exp(ALGEBRAIC[8]/( CONSTANTS[2]*CONSTANTS[3])) - exp(ALGEBRAIC[20]/( CONSTANTS[2]*CONSTANTS[3]))); ALGEBRAIC[25] = ALGEBRAIC[9] - ALGEBRAIC[23]; ALGEBRAIC[26] = ALGEBRAIC[21]+ALGEBRAIC[23]; ALGEBRAIC[0] = VOI - floor(VOI/CONSTANTS[5])*CONSTANTS[5]; ALGEBRAIC[24] = CONSTANTS[4]*( - CONSTANTS[18]*ALGEBRAIC[18]+ ALGEBRAIC[9]*(CONSTANTS[21] - CONSTANTS[19])+ ALGEBRAIC[21]*(CONSTANTS[21] - CONSTANTS[19])+ ALGEBRAIC[13]*(CONSTANTS[22] - CONSTANTS[20])+ ALGEBRAIC[23]*(CONSTANTS[22] - CONSTANTS[20])); } 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 CONSTANTS[23] = *p; *hx = (CONSTANTS[1]) - ( CONSTANTS[23]*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); CONSTANTS[23] = val; }