/* There are a total of 49 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 60 entries in the constant variable array. */ /* * VOI is t in component params_BG (second). * CONSTANTS[0] is R in component params_BG (J_per_K_mol). * CONSTANTS[1] is T in component params_BG (kelvin). * CONSTANTS[2] is F in component params_BG (C_per_mol). * CONSTANTS[3] is K_Hi in component params_BG (per_fmol). * CONSTANTS[55] is q_Hi in component params_BG (fmol). * CONSTANTS[4] is K_Ho in component params_BG (per_fmol). * CONSTANTS[57] is q_Ho in component params_BG (fmol). * CONSTANTS[5] is K_Cai in component params_BG (per_fmol). * CONSTANTS[45] is q_Cai in component params_BG (fmol). * CONSTANTS[6] is K_Cao in component params_BG (per_fmol). * CONSTANTS[47] is q_Cao in component params_BG (fmol). * CONSTANTS[7] is K_Pi in component params_BG (per_fmol). * CONSTANTS[49] is q_Pi in component params_BG (fmol). * CONSTANTS[8] is K_ATPi in component params_BG (per_fmol). * CONSTANTS[51] is q_ATPi in component params_BG (fmol). * CONSTANTS[9] is K_ADPi in component params_BG (per_fmol). * CONSTANTS[53] is q_ADPi in component params_BG (fmol). * CONSTANTS[10] is K_1 in component params_BG (per_fmol). * CONSTANTS[11] is q_init_1 in component params_BG (fmol). * CONSTANTS[12] is K_2 in component params_BG (per_fmol). * CONSTANTS[13] is q_init_2 in component params_BG (fmol). * CONSTANTS[14] is K_3 in component params_BG (per_fmol). * CONSTANTS[15] is q_init_3 in component params_BG (fmol). * CONSTANTS[16] is K_4 in component params_BG (per_fmol). * CONSTANTS[17] is q_init_4 in component params_BG (fmol). * CONSTANTS[18] is K_5 in component params_BG (per_fmol). * CONSTANTS[19] is q_init_5 in component params_BG (fmol). * CONSTANTS[20] is K_6 in component params_BG (per_fmol). * CONSTANTS[21] is q_init_6 in component params_BG (fmol). * CONSTANTS[22] is kappa_r1 in component params_BG (fmol_per_s). * CONSTANTS[23] is kappa_r2 in component params_BG (fmol_per_s). * CONSTANTS[24] is kappa_r3 in component params_BG (fmol_per_s). * CONSTANTS[25] is kappa_r4 in component params_BG (fmol_per_s). * CONSTANTS[26] is kappa_r5 in component params_BG (fmol_per_s). * CONSTANTS[27] is kappa_r6 in component params_BG (fmol_per_s). * CONSTANTS[56] is mu_Hi in component BG_SERCA (J_per_mol). * CONSTANTS[58] is mu_Ho in component BG_SERCA (J_per_mol). * CONSTANTS[46] is mu_Cai in component BG_SERCA (J_per_mol). * CONSTANTS[48] is mu_Cao in component BG_SERCA (J_per_mol). * CONSTANTS[50] is mu_Pi in component BG_SERCA (J_per_mol). * CONSTANTS[52] is mu_ATPi in component BG_SERCA (J_per_mol). * CONSTANTS[54] is mu_ADPi in component BG_SERCA (J_per_mol). * ALGEBRAIC[0] is mu_1 in component BG_SERCA (J_per_mol). * ALGEBRAIC[21] is v_1 in component BG_SERCA (fmol_per_s). * ALGEBRAIC[1] is mu_2 in component BG_SERCA (J_per_mol). * ALGEBRAIC[42] is v_2 in component BG_SERCA (fmol_per_s). * ALGEBRAIC[2] is mu_3 in component BG_SERCA (J_per_mol). * ALGEBRAIC[43] is v_3 in component BG_SERCA (fmol_per_s). * ALGEBRAIC[3] is mu_4 in component BG_SERCA (J_per_mol). * ALGEBRAIC[32] is v_4 in component BG_SERCA (fmol_per_s). * ALGEBRAIC[4] is mu_5 in component BG_SERCA (J_per_mol). * ALGEBRAIC[33] is v_5 in component BG_SERCA (fmol_per_s). * ALGEBRAIC[5] is mu_6 in component BG_SERCA (J_per_mol). * ALGEBRAIC[22] is v_6 in component BG_SERCA (fmol_per_s). * ALGEBRAIC[23] is V_Vm in component BG_SERCA (volt). * ALGEBRAIC[20] is V0_Vm in component params_BG (volt). * CONSTANTS[28] is z_zf1 in component params_BG (dimensionless). * CONSTANTS[29] is z_zr1 in component params_BG (dimensionless). * CONSTANTS[30] is z_zf2 in component params_BG (dimensionless). * CONSTANTS[31] is z_zr2 in component params_BG (dimensionless). * ALGEBRAIC[24] is Vm_zf1 in component BG_SERCA (volt). * ALGEBRAIC[35] is I_zf1 in component BG_SERCA (fA). * ALGEBRAIC[27] is mu_zf1 in component BG_SERCA (J_per_mol). * ALGEBRAIC[34] is v_zf1 in component BG_SERCA (fmol_per_s). * ALGEBRAIC[26] is Vm_zr1 in component BG_SERCA (volt). * ALGEBRAIC[37] is I_zr1 in component BG_SERCA (fA). * ALGEBRAIC[29] is mu_zr1 in component BG_SERCA (J_per_mol). * ALGEBRAIC[36] is v_zr1 in component BG_SERCA (fmol_per_s). * ALGEBRAIC[25] is Vm_zf2 in component BG_SERCA (volt). * ALGEBRAIC[45] is I_zf2 in component BG_SERCA (fA). * ALGEBRAIC[28] is mu_zf2 in component BG_SERCA (J_per_mol). * ALGEBRAIC[44] is v_zf2 in component BG_SERCA (fmol_per_s). * ALGEBRAIC[38] is Vm_zr2 in component BG_SERCA (volt). * ALGEBRAIC[47] is I_zr2 in component BG_SERCA (fA). * ALGEBRAIC[39] is mu_zr2 in component BG_SERCA (J_per_mol). * ALGEBRAIC[46] is v_zr2 in component BG_SERCA (fmol_per_s). * ALGEBRAIC[6] is A_f_r1 in component BG_SERCA (J_per_mol). * ALGEBRAIC[16] is v_r1 in component BG_SERCA (fmol_per_s). * ALGEBRAIC[7] is A_r_r1 in component BG_SERCA (J_per_mol). * ALGEBRAIC[8] is A_f_r2 in component BG_SERCA (J_per_mol). * ALGEBRAIC[41] is v_r2 in component BG_SERCA (fmol_per_s). * ALGEBRAIC[40] is A_r_r2 in component BG_SERCA (J_per_mol). * ALGEBRAIC[9] is A_f_r3 in component BG_SERCA (J_per_mol). * ALGEBRAIC[17] is v_r3 in component BG_SERCA (fmol_per_s). * ALGEBRAIC[10] is A_r_r3 in component BG_SERCA (J_per_mol). * ALGEBRAIC[11] is A_f_r4 in component BG_SERCA (J_per_mol). * ALGEBRAIC[31] is v_r4 in component BG_SERCA (fmol_per_s). * ALGEBRAIC[30] is A_r_r4 in component BG_SERCA (J_per_mol). * ALGEBRAIC[12] is A_f_r5 in component BG_SERCA (J_per_mol). * ALGEBRAIC[18] is v_r5 in component BG_SERCA (fmol_per_s). * ALGEBRAIC[13] is A_r_r5 in component BG_SERCA (J_per_mol). * ALGEBRAIC[14] is A_f_r6 in component BG_SERCA (J_per_mol). * ALGEBRAIC[19] is v_r6 in component BG_SERCA (fmol_per_s). * ALGEBRAIC[15] is A_r_r6 in component BG_SERCA (J_per_mol). * STATES[0] is q_1 in component BG_SERCA (fmol). * STATES[1] is q_2 in component BG_SERCA (fmol). * STATES[2] is q_3 in component BG_SERCA (fmol). * STATES[3] is q_4 in component BG_SERCA (fmol). * STATES[4] is q_5 in component BG_SERCA (fmol). * STATES[5] is q_6 in component BG_SERCA (fmol). * ALGEBRAIC[48] is Ii in component BG_SERCA (fA). * CONSTANTS[32] is nH in component BG_SERCA (dimensionless). * CONSTANTS[33] is nCa in component BG_SERCA (dimensionless). * CONSTANTS[34] is kappa_r7 in component params_BG (fmol_per_s). * CONSTANTS[35] is Cai in component params_BG (mM). * CONSTANTS[36] is Cao in component params_BG (mM). * CONSTANTS[37] is Hi in component params_BG (mM). * CONSTANTS[38] is Ho in component params_BG (mM). * CONSTANTS[39] is Pi in component params_BG (mM). * CONSTANTS[40] is ATPi in component params_BG (mM). * CONSTANTS[41] is ADPi in component params_BG (mM). * CONSTANTS[42] is V_i in component params_BG (pL). * CONSTANTS[43] is V_o in component params_BG (pL). * STATES[6] is V_E in component params_BG (volt). * CONSTANTS[44] is dt in component params_BG (second). * RATES[0] is d/dt q_1 in component BG_SERCA (fmol). * RATES[1] is d/dt q_2 in component BG_SERCA (fmol). * RATES[2] is d/dt q_3 in component BG_SERCA (fmol). * RATES[3] is d/dt q_4 in component BG_SERCA (fmol). * RATES[4] is d/dt q_5 in component BG_SERCA (fmol). * RATES[5] is d/dt q_6 in component BG_SERCA (fmol). * RATES[6] is d/dt V_E in component params_BG (volt). */ void initConsts(double* CONSTANTS, double* RATES, double *STATES) { CONSTANTS[0] = 8.31; CONSTANTS[1] = 293; CONSTANTS[2] = 96485; CONSTANTS[3] = 1e-06; CONSTANTS[4] = 1e-06; CONSTANTS[5] = 1e-08; CONSTANTS[6] = 1e-08; CONSTANTS[7] = 1e-08; CONSTANTS[8] = 1e-08; CONSTANTS[9] = 1e-08; CONSTANTS[10] = 1; CONSTANTS[11] = 1; CONSTANTS[12] = 1; CONSTANTS[13] = 1; CONSTANTS[14] = 1; CONSTANTS[15] = 1; CONSTANTS[16] = 1; CONSTANTS[17] = 1; CONSTANTS[18] = 1; CONSTANTS[19] = 1; CONSTANTS[20] = 1; CONSTANTS[21] = 1; CONSTANTS[22] = 1; CONSTANTS[23] = 1; CONSTANTS[24] = 1; CONSTANTS[25] = 1; CONSTANTS[26] = 1; CONSTANTS[27] = 1; CONSTANTS[28] = 1; CONSTANTS[29] = 1; CONSTANTS[30] = 1; CONSTANTS[31] = 1; CONSTANTS[32] = 1; CONSTANTS[33] = 2; CONSTANTS[34] = 1; CONSTANTS[35] = 20; CONSTANTS[36] = 100; CONSTANTS[37] = 10e-3; CONSTANTS[38] = 1e-12; CONSTANTS[39] = 1e-12; CONSTANTS[40] = 1e-12; CONSTANTS[41] = 1e-12; CONSTANTS[42] = 8.5e5; CONSTANTS[43] = 8.5e5; STATES[6] = -0.05; CONSTANTS[44] = 1e-3; CONSTANTS[45] = CONSTANTS[35]*CONSTANTS[42]; CONSTANTS[59] = 0.00000; CONSTANTS[46] = CONSTANTS[0]*CONSTANTS[1]*log( CONSTANTS[5]*CONSTANTS[45]); CONSTANTS[47] = CONSTANTS[36]*CONSTANTS[43]; CONSTANTS[48] = CONSTANTS[0]*CONSTANTS[1]*log( CONSTANTS[6]*CONSTANTS[47]); CONSTANTS[49] = CONSTANTS[39]*CONSTANTS[43]; CONSTANTS[50] = CONSTANTS[0]*CONSTANTS[1]*log( CONSTANTS[7]*CONSTANTS[49]); CONSTANTS[51] = CONSTANTS[40]*CONSTANTS[43]; CONSTANTS[52] = CONSTANTS[0]*CONSTANTS[1]*log( CONSTANTS[8]*CONSTANTS[51]); CONSTANTS[53] = CONSTANTS[41]*CONSTANTS[43]; CONSTANTS[54] = CONSTANTS[0]*CONSTANTS[1]*log( CONSTANTS[9]*CONSTANTS[53]); CONSTANTS[55] = CONSTANTS[37]*CONSTANTS[42]; CONSTANTS[56] = CONSTANTS[0]*CONSTANTS[1]*log( CONSTANTS[3]*CONSTANTS[55]); CONSTANTS[57] = CONSTANTS[38]*CONSTANTS[43]; CONSTANTS[58] = CONSTANTS[0]*CONSTANTS[1]*log( CONSTANTS[4]*CONSTANTS[57]); STATES[0] = CONSTANTS[11]; STATES[1] = CONSTANTS[13]; STATES[2] = CONSTANTS[15]; STATES[3] = CONSTANTS[17]; STATES[4] = CONSTANTS[19]; STATES[5] = CONSTANTS[21]; } void computeRates(double VOI, double* CONSTANTS, double* RATES, double* STATES, double* ALGEBRAIC) { RATES[6] = CONSTANTS[59]; ALGEBRAIC[0] = CONSTANTS[0]*CONSTANTS[1]*log( CONSTANTS[10]*STATES[0]); ALGEBRAIC[6] = CONSTANTS[52]+ALGEBRAIC[0]; ALGEBRAIC[1] = CONSTANTS[0]*CONSTANTS[1]*log( CONSTANTS[12]*STATES[1]); ALGEBRAIC[7] = ALGEBRAIC[1]; ALGEBRAIC[16] = CONSTANTS[22]*(exp(ALGEBRAIC[6]/( CONSTANTS[0]*CONSTANTS[1])) - exp(ALGEBRAIC[7]/( CONSTANTS[0]*CONSTANTS[1]))); ALGEBRAIC[5] = CONSTANTS[0]*CONSTANTS[1]*log( CONSTANTS[20]*STATES[5]); ALGEBRAIC[14] = ALGEBRAIC[5]; ALGEBRAIC[15] = ALGEBRAIC[0]+CONSTANTS[50]; ALGEBRAIC[19] = CONSTANTS[27]*(exp(ALGEBRAIC[14]/( CONSTANTS[0]*CONSTANTS[1])) - exp(ALGEBRAIC[15]/( CONSTANTS[0]*CONSTANTS[1]))); ALGEBRAIC[21] = ALGEBRAIC[19] - ALGEBRAIC[16]; RATES[0] = ALGEBRAIC[21]; ALGEBRAIC[4] = CONSTANTS[0]*CONSTANTS[1]*log( CONSTANTS[18]*STATES[4]); ALGEBRAIC[12] = ALGEBRAIC[4]; ALGEBRAIC[13] = ALGEBRAIC[5]+ CONSTANTS[32]*CONSTANTS[58]; ALGEBRAIC[18] = CONSTANTS[26]*(exp(ALGEBRAIC[12]/( CONSTANTS[0]*CONSTANTS[1])) - exp(ALGEBRAIC[13]/( CONSTANTS[0]*CONSTANTS[1]))); ALGEBRAIC[22] = ALGEBRAIC[18] - ALGEBRAIC[19]; RATES[5] = ALGEBRAIC[22]; ALGEBRAIC[2] = CONSTANTS[0]*CONSTANTS[1]*log( CONSTANTS[14]*STATES[2]); ALGEBRAIC[9] = ALGEBRAIC[2]; ALGEBRAIC[3] = CONSTANTS[0]*CONSTANTS[1]*log( CONSTANTS[16]*STATES[3]); ALGEBRAIC[10] = ALGEBRAIC[3]+CONSTANTS[54]; ALGEBRAIC[17] = CONSTANTS[24]*(exp(ALGEBRAIC[9]/( CONSTANTS[0]*CONSTANTS[1])) - exp(ALGEBRAIC[10]/( CONSTANTS[0]*CONSTANTS[1]))); ALGEBRAIC[11] = ALGEBRAIC[3]; ALGEBRAIC[20] = STATES[6]; ALGEBRAIC[23] = ALGEBRAIC[20]; ALGEBRAIC[26] = ALGEBRAIC[23]; ALGEBRAIC[29] = CONSTANTS[29]*CONSTANTS[2]*ALGEBRAIC[26]; ALGEBRAIC[30] = ALGEBRAIC[4]+ CONSTANTS[33]*CONSTANTS[48]+ALGEBRAIC[29]; ALGEBRAIC[31] = CONSTANTS[25]*(exp(ALGEBRAIC[11]/( CONSTANTS[0]*CONSTANTS[1])) - exp(ALGEBRAIC[30]/( CONSTANTS[0]*CONSTANTS[1]))); ALGEBRAIC[32] = ALGEBRAIC[17] - ALGEBRAIC[31]; RATES[3] = ALGEBRAIC[32]; ALGEBRAIC[33] = ALGEBRAIC[31] - ALGEBRAIC[18]; RATES[4] = ALGEBRAIC[33]; ALGEBRAIC[8] = ALGEBRAIC[1]+ CONSTANTS[33]*CONSTANTS[46]; ALGEBRAIC[38] = ALGEBRAIC[23]; ALGEBRAIC[39] = CONSTANTS[31]*CONSTANTS[2]*ALGEBRAIC[38]; ALGEBRAIC[40] = ALGEBRAIC[2]+ CONSTANTS[32]*CONSTANTS[56]+ALGEBRAIC[39]; ALGEBRAIC[41] = CONSTANTS[23]*(exp(ALGEBRAIC[8]/( CONSTANTS[0]*CONSTANTS[1])) - exp(ALGEBRAIC[40]/( CONSTANTS[0]*CONSTANTS[1]))); ALGEBRAIC[42] = ALGEBRAIC[16] - ALGEBRAIC[41]; RATES[1] = ALGEBRAIC[42]; ALGEBRAIC[43] = ALGEBRAIC[41] - ALGEBRAIC[17]; RATES[2] = ALGEBRAIC[43]; } void computeVariables(double VOI, double* CONSTANTS, double* RATES, double* STATES, double* ALGEBRAIC) { ALGEBRAIC[0] = CONSTANTS[0]*CONSTANTS[1]*log( CONSTANTS[10]*STATES[0]); ALGEBRAIC[6] = CONSTANTS[52]+ALGEBRAIC[0]; ALGEBRAIC[1] = CONSTANTS[0]*CONSTANTS[1]*log( CONSTANTS[12]*STATES[1]); ALGEBRAIC[7] = ALGEBRAIC[1]; ALGEBRAIC[16] = CONSTANTS[22]*(exp(ALGEBRAIC[6]/( CONSTANTS[0]*CONSTANTS[1])) - exp(ALGEBRAIC[7]/( CONSTANTS[0]*CONSTANTS[1]))); ALGEBRAIC[5] = CONSTANTS[0]*CONSTANTS[1]*log( CONSTANTS[20]*STATES[5]); ALGEBRAIC[14] = ALGEBRAIC[5]; ALGEBRAIC[15] = ALGEBRAIC[0]+CONSTANTS[50]; ALGEBRAIC[19] = CONSTANTS[27]*(exp(ALGEBRAIC[14]/( CONSTANTS[0]*CONSTANTS[1])) - exp(ALGEBRAIC[15]/( CONSTANTS[0]*CONSTANTS[1]))); ALGEBRAIC[21] = ALGEBRAIC[19] - ALGEBRAIC[16]; ALGEBRAIC[4] = CONSTANTS[0]*CONSTANTS[1]*log( CONSTANTS[18]*STATES[4]); ALGEBRAIC[12] = ALGEBRAIC[4]; ALGEBRAIC[13] = ALGEBRAIC[5]+ CONSTANTS[32]*CONSTANTS[58]; ALGEBRAIC[18] = CONSTANTS[26]*(exp(ALGEBRAIC[12]/( CONSTANTS[0]*CONSTANTS[1])) - exp(ALGEBRAIC[13]/( CONSTANTS[0]*CONSTANTS[1]))); ALGEBRAIC[22] = ALGEBRAIC[18] - ALGEBRAIC[19]; ALGEBRAIC[2] = CONSTANTS[0]*CONSTANTS[1]*log( CONSTANTS[14]*STATES[2]); ALGEBRAIC[9] = ALGEBRAIC[2]; ALGEBRAIC[3] = CONSTANTS[0]*CONSTANTS[1]*log( CONSTANTS[16]*STATES[3]); ALGEBRAIC[10] = ALGEBRAIC[3]+CONSTANTS[54]; ALGEBRAIC[17] = CONSTANTS[24]*(exp(ALGEBRAIC[9]/( CONSTANTS[0]*CONSTANTS[1])) - exp(ALGEBRAIC[10]/( CONSTANTS[0]*CONSTANTS[1]))); ALGEBRAIC[11] = ALGEBRAIC[3]; ALGEBRAIC[20] = STATES[6]; ALGEBRAIC[23] = ALGEBRAIC[20]; ALGEBRAIC[26] = ALGEBRAIC[23]; ALGEBRAIC[29] = CONSTANTS[29]*CONSTANTS[2]*ALGEBRAIC[26]; ALGEBRAIC[30] = ALGEBRAIC[4]+ CONSTANTS[33]*CONSTANTS[48]+ALGEBRAIC[29]; ALGEBRAIC[31] = CONSTANTS[25]*(exp(ALGEBRAIC[11]/( CONSTANTS[0]*CONSTANTS[1])) - exp(ALGEBRAIC[30]/( CONSTANTS[0]*CONSTANTS[1]))); ALGEBRAIC[32] = ALGEBRAIC[17] - ALGEBRAIC[31]; ALGEBRAIC[33] = ALGEBRAIC[31] - ALGEBRAIC[18]; ALGEBRAIC[8] = ALGEBRAIC[1]+ CONSTANTS[33]*CONSTANTS[46]; ALGEBRAIC[38] = ALGEBRAIC[23]; ALGEBRAIC[39] = CONSTANTS[31]*CONSTANTS[2]*ALGEBRAIC[38]; ALGEBRAIC[40] = ALGEBRAIC[2]+ CONSTANTS[32]*CONSTANTS[56]+ALGEBRAIC[39]; ALGEBRAIC[41] = CONSTANTS[23]*(exp(ALGEBRAIC[8]/( CONSTANTS[0]*CONSTANTS[1])) - exp(ALGEBRAIC[40]/( CONSTANTS[0]*CONSTANTS[1]))); ALGEBRAIC[42] = ALGEBRAIC[16] - ALGEBRAIC[41]; ALGEBRAIC[43] = ALGEBRAIC[41] - ALGEBRAIC[17]; ALGEBRAIC[24] = ALGEBRAIC[23]; ALGEBRAIC[25] = ALGEBRAIC[23]; ALGEBRAIC[27] = CONSTANTS[28]*CONSTANTS[2]*ALGEBRAIC[24]; ALGEBRAIC[28] = CONSTANTS[30]*CONSTANTS[2]*ALGEBRAIC[25]; ALGEBRAIC[34] = ALGEBRAIC[31]; ALGEBRAIC[35] = CONSTANTS[28]*CONSTANTS[2]*ALGEBRAIC[34]; ALGEBRAIC[36] = ALGEBRAIC[31]; ALGEBRAIC[37] = CONSTANTS[29]*CONSTANTS[2]*ALGEBRAIC[36]; ALGEBRAIC[44] = ALGEBRAIC[41]; ALGEBRAIC[45] = CONSTANTS[30]*CONSTANTS[2]*ALGEBRAIC[44]; ALGEBRAIC[46] = ALGEBRAIC[41]; ALGEBRAIC[47] = CONSTANTS[31]*CONSTANTS[2]*ALGEBRAIC[46]; ALGEBRAIC[48] = ALGEBRAIC[35]+ALGEBRAIC[37]+ALGEBRAIC[45]+ALGEBRAIC[47]; }