/* There are a total of 52 entries in the algebraic variable array. There are a total of 21 entries in each of the rate and state variable arrays. There are a total of 70 entries in the constant variable array. */ /* * VOI is time in component environment (second). * STATES[0] is V in component membrane (millivolt). * CONSTANTS[0] is R in component membrane (millijoule_per_mole_kelvin). * CONSTANTS[1] is T in component membrane (kelvin). * CONSTANTS[2] is F in component membrane (coulomb_per_mole). * CONSTANTS[3] is Cm in component membrane (microF). * ALGEBRAIC[26] is i_K1 in component time_independent_potassium_current (nanoA). * ALGEBRAIC[43] is i_to in component transient_outward_current (nanoA). * ALGEBRAIC[30] is i_K in component time_dependent_potassium_current (nanoA). * ALGEBRAIC[36] is i_Ca_L_K_cyt in component L_type_Ca_channel (nanoA). * ALGEBRAIC[39] is i_Ca_L_K_ds in component L_type_Ca_channel (nanoA). * ALGEBRAIC[44] is i_NaK in component sodium_potassium_pump (nanoA). * ALGEBRAIC[32] is i_Na in component fast_sodium_current (nanoA). * ALGEBRAIC[33] is i_b_Na in component sodium_background_current (nanoA). * ALGEBRAIC[37] is i_Ca_L_Na_cyt in component L_type_Ca_channel (nanoA). * ALGEBRAIC[40] is i_Ca_L_Na_ds in component L_type_Ca_channel (nanoA). * ALGEBRAIC[45] is i_NaCa_cyt in component sodium_calcium_exchanger (nanoA). * ALGEBRAIC[46] is i_NaCa_ds in component sodium_calcium_exchanger (nanoA). * ALGEBRAIC[35] is i_Ca_L_Ca_cyt in component L_type_Ca_channel (nanoA). * ALGEBRAIC[38] is i_Ca_L_Ca_ds in component L_type_Ca_channel (nanoA). * ALGEBRAIC[42] is i_b_Ca in component calcium_background_current (nanoA). * ALGEBRAIC[34] is i_b_K in component potassium_background_current (nanoA). * ALGEBRAIC[6] is i_Stim in component membrane (nanoA). * CONSTANTS[4] is stim_start in component membrane (second). * CONSTANTS[5] is stim_end in component membrane (second). * CONSTANTS[6] is stim_period in component membrane (second). * CONSTANTS[7] is stim_duration in component membrane (second). * CONSTANTS[8] is stim_amplitude in component membrane (nanoA). * ALGEBRAIC[14] is E_Na in component reversal_potentials (millivolt). * ALGEBRAIC[20] is E_K in component reversal_potentials (millivolt). * ALGEBRAIC[22] is E_Ca in component reversal_potentials (millivolt). * ALGEBRAIC[24] is E_mh in component reversal_potentials (millivolt). * STATES[1] is K_o in component extracellular_potassium_concentration (millimolar). * CONSTANTS[9] is Na_o in component extracellular_sodium_concentration (millimolar). * STATES[2] is K_i in component intracellular_potassium_concentration (millimolar). * STATES[3] is Na_i in component intracellular_sodium_concentration (millimolar). * CONSTANTS[10] is Ca_o in component extracellular_calcium_concentration (millimolar). * STATES[4] is Ca_i in component intracellular_calcium_concentration (millimolar). * CONSTANTS[11] is K_mk1 in component time_independent_potassium_current (millimolar). * CONSTANTS[12] is g_K1 in component time_independent_potassium_current (microS). * ALGEBRAIC[28] is I_K in component time_dependent_potassium_current (nanoA). * CONSTANTS[13] is i_K_max in component time_dependent_potassium_current (nanoA). * STATES[5] is x in component time_dependent_potassium_current_x_gate (dimensionless). * ALGEBRAIC[8] is alpha_x in component time_dependent_potassium_current_x_gate (per_second). * ALGEBRAIC[16] is beta_x in component time_dependent_potassium_current_x_gate (per_second). * CONSTANTS[14] is delta_x in component time_dependent_potassium_current_x_gate (millivolt). * ALGEBRAIC[0] is E0_x in component time_dependent_potassium_current_x_gate (millivolt). * CONSTANTS[15] is g_Na in component fast_sodium_current (microS). * STATES[6] is m in component fast_sodium_current_m_gate (dimensionless). * STATES[7] is h in component fast_sodium_current_h_gate (dimensionless). * ALGEBRAIC[9] is alpha_m in component fast_sodium_current_m_gate (per_second). * ALGEBRAIC[17] is beta_m in component fast_sodium_current_m_gate (per_second). * CONSTANTS[16] is delta_m in component fast_sodium_current_m_gate (millivolt). * ALGEBRAIC[1] is E0_m in component fast_sodium_current_m_gate (millivolt). * ALGEBRAIC[2] is alpha_h in component fast_sodium_current_h_gate (per_second). * ALGEBRAIC[10] is beta_h in component fast_sodium_current_h_gate (per_second). * CONSTANTS[17] is shift_h in component fast_sodium_current_h_gate (millivolt). * CONSTANTS[18] is g_bna in component sodium_background_current (microS). * CONSTANTS[19] is g_bk in component potassium_background_current (microS). * ALGEBRAIC[41] is i_Ca_L in component L_type_Ca_channel (nanoA). * CONSTANTS[20] is P_Ca_L in component L_type_Ca_channel (nanoA_per_millimolar). * CONSTANTS[21] is P_CaK in component L_type_Ca_channel (dimensionless). * CONSTANTS[22] is P_CaNa in component L_type_Ca_channel (dimensionless). * STATES[8] is Ca_ds in component intracellular_calcium_concentration (millimolar). * STATES[9] is d in component L_type_Ca_channel_d_gate (dimensionless). * STATES[10] is f in component L_type_Ca_channel_f_gate (dimensionless). * STATES[11] is f2 in component L_type_Ca_channel_f2_gate (dimensionless). * STATES[12] is f2ds in component L_type_Ca_channel_f2ds_gate (dimensionless). * CONSTANTS[23] is Km_f2 in component L_type_Ca_channel (millimolar). * CONSTANTS[24] is Km_f2ds in component L_type_Ca_channel (millimolar). * CONSTANTS[25] is R_decay in component L_type_Ca_channel (per_second). * CONSTANTS[26] is FrICa in component L_type_Ca_channel (dimensionless). * ALGEBRAIC[11] is alpha_d in component L_type_Ca_channel_d_gate (per_second). * ALGEBRAIC[18] is beta_d in component L_type_Ca_channel_d_gate (per_second). * ALGEBRAIC[3] is E0_d in component L_type_Ca_channel_d_gate (millivolt). * CONSTANTS[27] is speed_d in component L_type_Ca_channel_d_gate (dimensionless). * ALGEBRAIC[12] is alpha_f in component L_type_Ca_channel_f_gate (per_second). * ALGEBRAIC[19] is beta_f in component L_type_Ca_channel_f_gate (per_second). * CONSTANTS[28] is speed_f in component L_type_Ca_channel_f_gate (dimensionless). * CONSTANTS[29] is delta_f in component L_type_Ca_channel_f_gate (millivolt). * ALGEBRAIC[4] is E0_f in component L_type_Ca_channel_f_gate (millivolt). * CONSTANTS[30] is g_bca in component calcium_background_current (microS). * CONSTANTS[31] is g_to in component transient_outward_current (microS). * CONSTANTS[32] is g_tos in component transient_outward_current (dimensionless). * STATES[13] is s in component transient_outward_current_s_gate (dimensionless). * STATES[14] is r in component transient_outward_current_r_gate (dimensionless). * ALGEBRAIC[5] is alpha_s in component transient_outward_current_s_gate (per_second). * ALGEBRAIC[13] is beta_s in component transient_outward_current_s_gate (per_second). * CONSTANTS[33] is i_NaK_max in component sodium_potassium_pump (nanoA). * CONSTANTS[34] is K_mK in component sodium_potassium_pump (millimolar). * CONSTANTS[35] is K_mNa in component sodium_potassium_pump (millimolar). * ALGEBRAIC[48] is i_NaCa in component sodium_calcium_exchanger (nanoA). * CONSTANTS[36] is k_NaCa in component sodium_calcium_exchanger (nanoA). * CONSTANTS[37] is n_NaCa in component sodium_calcium_exchanger (dimensionless). * CONSTANTS[38] is d_NaCa in component sodium_calcium_exchanger (dimensionless). * CONSTANTS[39] is gamma in component sodium_calcium_exchanger (dimensionless). * CONSTANTS[40] is FRiNaCa in component sodium_calcium_exchanger (dimensionless). * ALGEBRAIC[49] is i_up in component sarcoplasmic_reticulum_calcium_pump (millimolar_per_second). * CONSTANTS[66] is K_1 in component sarcoplasmic_reticulum_calcium_pump (dimensionless). * ALGEBRAIC[47] is K_2 in component sarcoplasmic_reticulum_calcium_pump (millimolar). * CONSTANTS[41] is K_cyca in component sarcoplasmic_reticulum_calcium_pump (millimolar). * CONSTANTS[42] is K_xcs in component sarcoplasmic_reticulum_calcium_pump (dimensionless). * CONSTANTS[43] is K_srca in component sarcoplasmic_reticulum_calcium_pump (millimolar). * CONSTANTS[44] is alpha_up in component sarcoplasmic_reticulum_calcium_pump (millimolar_per_second). * CONSTANTS[45] is beta_up in component sarcoplasmic_reticulum_calcium_pump (millimolar_per_second). * STATES[15] is Ca_up in component intracellular_calcium_concentration (millimolar). * ALGEBRAIC[50] is i_trans in component calcium_translocation (millimolar_per_second). * STATES[16] is Ca_rel in component intracellular_calcium_concentration (millimolar). * ALGEBRAIC[51] is i_rel in component calcium_release (millimolar_per_second). * ALGEBRAIC[7] is VoltDep in component calcium_release (dimensionless). * ALGEBRAIC[23] is RegBindSite in component calcium_release (dimensionless). * ALGEBRAIC[15] is CaiReg in component calcium_release (dimensionless). * ALGEBRAIC[21] is CadsReg in component calcium_release (dimensionless). * ALGEBRAIC[25] is ActRate in component calcium_release (per_second). * ALGEBRAIC[27] is InactRate in component calcium_release (per_second). * CONSTANTS[46] is K_leak_rate in component calcium_release (per_second). * CONSTANTS[47] is K_m_rel in component calcium_release (per_second). * CONSTANTS[48] is K_m_Ca_cyt in component calcium_release (millimolar). * CONSTANTS[49] is K_m_Ca_ds in component calcium_release (millimolar). * ALGEBRAIC[31] is PrecFrac in component calcium_release (dimensionless). * STATES[17] is ActFrac in component calcium_release (dimensionless). * STATES[18] is ProdFrac in component calcium_release (dimensionless). * ALGEBRAIC[29] is SpeedRel in component calcium_release (dimensionless). * CONSTANTS[69] is V_i in component intracellular_calcium_concentration (micrometre3). * CONSTANTS[50] is K_b in component extracellular_potassium_concentration (millimolar). * CONSTANTS[51] is pf in component extracellular_potassium_concentration (per_second). * CONSTANTS[68] is V_e in component intracellular_calcium_concentration (micrometre3). * STATES[19] is Ca_Calmod in component intracellular_calcium_concentration (millimolar). * STATES[20] is Ca_Trop in component intracellular_calcium_concentration (millimolar). * CONSTANTS[52] is Calmod in component intracellular_calcium_concentration (millimolar). * CONSTANTS[53] is Trop in component intracellular_calcium_concentration (millimolar). * CONSTANTS[54] is alpha_Calmod in component intracellular_calcium_concentration (per_millimolar_second). * CONSTANTS[55] is beta_Calmod in component intracellular_calcium_concentration (per_second). * CONSTANTS[56] is alpha_Trop in component intracellular_calcium_concentration (per_millimolar_second). * CONSTANTS[57] is beta_Trop in component intracellular_calcium_concentration (per_second). * CONSTANTS[58] is radius in component intracellular_calcium_concentration (micrometre). * CONSTANTS[59] is length in component intracellular_calcium_concentration (micrometre). * CONSTANTS[65] is V_Cell in component intracellular_calcium_concentration (micrometre3). * CONSTANTS[67] is V_i_ratio in component intracellular_calcium_concentration (dimensionless). * CONSTANTS[60] is V_ds_ratio in component intracellular_calcium_concentration (dimensionless). * CONSTANTS[61] is V_rel_ratio in component intracellular_calcium_concentration (dimensionless). * CONSTANTS[62] is V_e_ratio in component intracellular_calcium_concentration (dimensionless). * CONSTANTS[63] is V_up_ratio in component intracellular_calcium_concentration (dimensionless). * CONSTANTS[64] is Kdecay in component intracellular_calcium_concentration (per_second). * RATES[0] is d/dt V in component membrane (millivolt). * RATES[5] is d/dt x in component time_dependent_potassium_current_x_gate (dimensionless). * RATES[6] is d/dt m in component fast_sodium_current_m_gate (dimensionless). * RATES[7] is d/dt h in component fast_sodium_current_h_gate (dimensionless). * RATES[9] is d/dt d in component L_type_Ca_channel_d_gate (dimensionless). * RATES[10] is d/dt f in component L_type_Ca_channel_f_gate (dimensionless). * RATES[11] is d/dt f2 in component L_type_Ca_channel_f2_gate (dimensionless). * RATES[12] is d/dt f2ds in component L_type_Ca_channel_f2ds_gate (dimensionless). * RATES[13] is d/dt s in component transient_outward_current_s_gate (dimensionless). * RATES[14] is d/dt r in component transient_outward_current_r_gate (dimensionless). * RATES[17] is d/dt ActFrac in component calcium_release (dimensionless). * RATES[18] is d/dt ProdFrac in component calcium_release (dimensionless). * RATES[3] is d/dt Na_i in component intracellular_sodium_concentration (millimolar). * RATES[1] is d/dt K_o in component extracellular_potassium_concentration (millimolar). * RATES[2] is d/dt K_i in component intracellular_potassium_concentration (millimolar). * RATES[4] is d/dt Ca_i in component intracellular_calcium_concentration (millimolar). * RATES[19] is d/dt Ca_Calmod in component intracellular_calcium_concentration (millimolar). * RATES[20] is d/dt Ca_Trop in component intracellular_calcium_concentration (millimolar). * RATES[8] is d/dt Ca_ds in component intracellular_calcium_concentration (millimolar). * RATES[15] is d/dt Ca_up in component intracellular_calcium_concentration (millimolar). * RATES[16] is d/dt Ca_rel in component intracellular_calcium_concentration (millimolar). */ void initConsts(double* CONSTANTS, double* RATES, double *STATES) { STATES[0] = -86.27784; CONSTANTS[0] = 8314.472; CONSTANTS[1] = 310; CONSTANTS[2] = 96485.3415; CONSTANTS[3] = 9.5e-5; CONSTANTS[4] = 0.02; CONSTANTS[5] = 9; CONSTANTS[6] = 0.5; CONSTANTS[7] = 0.002; CONSTANTS[8] = -1.8; STATES[1] = 5.3201028; CONSTANTS[9] = 148.5; STATES[2] = 140.1333; STATES[3] = 6.835; CONSTANTS[10] = 2.5; STATES[4] = 7.07933e-5; CONSTANTS[11] = 10; CONSTANTS[12] = 0.12; CONSTANTS[13] = 1.5; STATES[5] = 2.3455e-6; CONSTANTS[14] = 0.0001; CONSTANTS[15] = 0.6; STATES[6] = 0.003956; STATES[7] = 0.9759885; CONSTANTS[16] = 1e-5; CONSTANTS[17] = 0; CONSTANTS[18] = 0.0001; CONSTANTS[19] = 0.004; CONSTANTS[20] = 0.06; CONSTANTS[21] = 0.003; CONSTANTS[22] = 0.01; STATES[8] = 0.0008364; STATES[9] = 3.06884e-12; STATES[10] = 0.9999977; STATES[11] = 0.994096; STATES[12] = 0.4387865; CONSTANTS[23] = 100000; CONSTANTS[24] = 0.001; CONSTANTS[25] = 20; CONSTANTS[26] = 1; CONSTANTS[27] = 10; CONSTANTS[28] = 2; CONSTANTS[29] = 0.0001; CONSTANTS[30] = 0.00025; CONSTANTS[31] = 0.08; CONSTANTS[32] = 0.15; STATES[13] = 0.954689; STATES[14] = 2.4223e-5; CONSTANTS[33] = 0.7; CONSTANTS[34] = 1; CONSTANTS[35] = 40; CONSTANTS[36] = 0.0002; CONSTANTS[37] = 3; CONSTANTS[38] = 0.005; CONSTANTS[39] = 0.5; CONSTANTS[40] = 0.001; CONSTANTS[41] = 0.0003; CONSTANTS[42] = 0.4; CONSTANTS[43] = 0.5; CONSTANTS[44] = 0.4; CONSTANTS[45] = 0.03; STATES[15] = 0.479749; STATES[16] = 0.43984; CONSTANTS[46] = 0.05; CONSTANTS[47] = 250; CONSTANTS[48] = 0.0005; CONSTANTS[49] = 0.01; STATES[17] = 0.0113161; STATES[18] = 0.9402563; CONSTANTS[50] = 5.4; CONSTANTS[51] = 0.7; STATES[19] = 0.0024448; STATES[20] = 0.0017012; CONSTANTS[52] = 0.02; CONSTANTS[53] = 0.05; CONSTANTS[54] = 100000; CONSTANTS[55] = 50; CONSTANTS[56] = 100000; CONSTANTS[57] = 200; CONSTANTS[58] = 12; CONSTANTS[59] = 74; CONSTANTS[60] = 0.1; CONSTANTS[61] = 0.1; CONSTANTS[62] = 0.4; CONSTANTS[63] = 0.01; CONSTANTS[64] = 10; CONSTANTS[65] = ( 3.14159*pow(CONSTANTS[58]/1000.00, 2.00000)*CONSTANTS[59])/1000.00; CONSTANTS[66] = ( CONSTANTS[41]*CONSTANTS[42])/CONSTANTS[43]; CONSTANTS[67] = ((1.00000 - CONSTANTS[62]) - CONSTANTS[63]) - CONSTANTS[61]; CONSTANTS[68] = CONSTANTS[65]*CONSTANTS[62]; CONSTANTS[69] = CONSTANTS[65]*CONSTANTS[67]; } void computeRates(double VOI, double* CONSTANTS, double* RATES, double* STATES, double* ALGEBRAIC) { RATES[11] = 1.00000 - 1.00000*(STATES[4]/(CONSTANTS[23]+STATES[4])+STATES[11]); RATES[12] = CONSTANTS[25]*(1.00000 - (STATES[8]/(CONSTANTS[24]+STATES[8])+STATES[12])); RATES[14] = 333.000*(1.00000/(1.00000+exp(- ((STATES[0]+4.00000) - 24.0000)/10.0000)) - STATES[14]); ALGEBRAIC[2] = 20.0000*exp( - 0.125000*((STATES[0]+75.0000) - CONSTANTS[17])); ALGEBRAIC[10] = 2000.00/(1.00000+ 320.000*exp( - 0.100000*((STATES[0]+75.0000) - CONSTANTS[17]))); RATES[7] = ALGEBRAIC[2]*(1.00000 - STATES[7]) - ALGEBRAIC[10]*STATES[7]; ALGEBRAIC[5] = 0.260000*0.0330000*exp(- STATES[0]/14.8750); ALGEBRAIC[13] = ( 0.260000*33.0000)/(1.00000+exp(- (STATES[0]+10.0000)/7.00000)); RATES[13] = ALGEBRAIC[5]*(1.00000 - STATES[13]) - ALGEBRAIC[13]*STATES[13]; ALGEBRAIC[0] = (STATES[0]+22.0000) - 40.0000; ALGEBRAIC[8] = (fabs(ALGEBRAIC[0])=CONSTANTS[4]&&VOI<=CONSTANTS[5]&&(VOI - CONSTANTS[4]) - floor((VOI - CONSTANTS[4])/CONSTANTS[6])*CONSTANTS[6]<=CONSTANTS[7] ? CONSTANTS[8] : 0.00000); RATES[0] = (- 1.00000/CONSTANTS[3])*(ALGEBRAIC[6]+ALGEBRAIC[26]+ALGEBRAIC[43]+ALGEBRAIC[30]+ALGEBRAIC[44]+ALGEBRAIC[32]+ALGEBRAIC[33]+ALGEBRAIC[37]+ALGEBRAIC[40]+ALGEBRAIC[45]+ALGEBRAIC[46]+ALGEBRAIC[35]+ALGEBRAIC[38]+ALGEBRAIC[36]+ALGEBRAIC[39]+ALGEBRAIC[42]+ALGEBRAIC[34]); ALGEBRAIC[47] = STATES[4]+ STATES[15]*CONSTANTS[66]+ CONSTANTS[41]*CONSTANTS[42]+CONSTANTS[41]; ALGEBRAIC[49] = (STATES[4]/ALGEBRAIC[47])*CONSTANTS[44] - (( STATES[15]*CONSTANTS[66])/ALGEBRAIC[47])*CONSTANTS[45]; ALGEBRAIC[50] = 50.0000*(STATES[15] - STATES[16]); RATES[15] = (CONSTANTS[67]/CONSTANTS[63])*ALGEBRAIC[49] - ALGEBRAIC[50]; RATES[19] = CONSTANTS[54]*STATES[4]*(CONSTANTS[52] - STATES[19]) - CONSTANTS[55]*STATES[19]; ALGEBRAIC[51] = ( pow(STATES[17]/(STATES[17]+0.250000), 2.00000)*CONSTANTS[47]+CONSTANTS[46])*STATES[16]; RATES[16] = (CONSTANTS[63]/CONSTANTS[61])*ALGEBRAIC[50] - ALGEBRAIC[51]; RATES[20] = CONSTANTS[56]*STATES[4]*(CONSTANTS[53] - STATES[20]) - CONSTANTS[57]*STATES[20]; RATES[4] = ((( (- 1.00000/( 2.00000*1.00000*CONSTANTS[69]*CONSTANTS[2]))*((ALGEBRAIC[35]+ALGEBRAIC[42]) - 2.00000*ALGEBRAIC[45])+ STATES[8]*CONSTANTS[60]*CONSTANTS[64]+( ALGEBRAIC[51]*CONSTANTS[61])/CONSTANTS[67]) - RATES[19]) - RATES[20]) - ALGEBRAIC[49]; } void computeVariables(double VOI, double* CONSTANTS, double* RATES, double* STATES, double* ALGEBRAIC) { ALGEBRAIC[2] = 20.0000*exp( - 0.125000*((STATES[0]+75.0000) - CONSTANTS[17])); ALGEBRAIC[10] = 2000.00/(1.00000+ 320.000*exp( - 0.100000*((STATES[0]+75.0000) - CONSTANTS[17]))); ALGEBRAIC[5] = 0.260000*0.0330000*exp(- STATES[0]/14.8750); ALGEBRAIC[13] = ( 0.260000*33.0000)/(1.00000+exp(- (STATES[0]+10.0000)/7.00000)); ALGEBRAIC[0] = (STATES[0]+22.0000) - 40.0000; ALGEBRAIC[8] = (fabs(ALGEBRAIC[0])=CONSTANTS[4]&&VOI<=CONSTANTS[5]&&(VOI - CONSTANTS[4]) - floor((VOI - CONSTANTS[4])/CONSTANTS[6])*CONSTANTS[6]<=CONSTANTS[7] ? CONSTANTS[8] : 0.00000); ALGEBRAIC[47] = STATES[4]+ STATES[15]*CONSTANTS[66]+ CONSTANTS[41]*CONSTANTS[42]+CONSTANTS[41]; ALGEBRAIC[49] = (STATES[4]/ALGEBRAIC[47])*CONSTANTS[44] - (( STATES[15]*CONSTANTS[66])/ALGEBRAIC[47])*CONSTANTS[45]; ALGEBRAIC[50] = 50.0000*(STATES[15] - STATES[16]); ALGEBRAIC[51] = ( pow(STATES[17]/(STATES[17]+0.250000), 2.00000)*CONSTANTS[47]+CONSTANTS[46])*STATES[16]; ALGEBRAIC[41] = ALGEBRAIC[35]+ALGEBRAIC[36]+ALGEBRAIC[37]+ALGEBRAIC[38]+ALGEBRAIC[39]+ALGEBRAIC[40]; ALGEBRAIC[48] = ALGEBRAIC[45]+ALGEBRAIC[46]; }