/* There are a total of 50 entries in the algebraic variable array. There are a total of 11 entries in each of the rate and state variable arrays. There are a total of 71 entries in the constant variable array. */ /* * VOI is time in component environment (millisecond). * ALGEBRAIC[3] is SOVFThick in component sarcomere_geometry (dimensionless). * ALGEBRAIC[4] is SOVFThin in component sarcomere_geometry (dimensionless). * ALGEBRAIC[0] is sovr_ze in component sarcomere_geometry (micrometre). * ALGEBRAIC[1] is sovr_cle in component sarcomere_geometry (micrometre). * ALGEBRAIC[2] is len_sovr in component sarcomere_geometry (micrometre). * CONSTANTS[0] is len_thin in component model_parameters (micrometre). * CONSTANTS[1] is len_thick in component model_parameters (micrometre). * CONSTANTS[2] is len_hbare in component model_parameters (micrometre). * STATES[0] is SL in component normalised_active_and_passive_force (micrometre). * STATES[1] is TRPNCaL in component Ca_binding_to_troponin_to_thin_filament_regulation (dimensionless). * STATES[2] is TRPNCaH in component Ca_binding_to_troponin_to_thin_filament_regulation (dimensionless). * ALGEBRAIC[5] is dTRPNCaL in component Ca_binding_to_troponin_to_thin_filament_regulation (first_order_rate_constant). * ALGEBRAIC[6] is dTRPNCaH in component Ca_binding_to_troponin_to_thin_filament_regulation (first_order_rate_constant). * ALGEBRAIC[42] is kn_pT in component Ca_binding_to_troponin_to_thin_filament_regulation (first_order_rate_constant). * ALGEBRAIC[43] is kp_nT in component Ca_binding_to_troponin_to_thin_filament_regulation (first_order_rate_constant). * CONSTANTS[60] is H in component Ca_binding_to_troponin_to_thin_filament_regulation (micromolar). * CONSTANTS[62] is H_cons in component Ca_binding_to_troponin_to_thin_filament_regulation (micromolar). * CONSTANTS[63] is konT in component Ca_binding_to_troponin_to_thin_filament_regulation (second_order_rate_constant). * CONSTANTS[58] is koffLT in component Ca_binding_to_troponin_to_thin_filament_regulation (first_order_rate_constant). * CONSTANTS[59] is koffHT in component Ca_binding_to_troponin_to_thin_filament_regulation (first_order_rate_constant). * CONSTANTS[3] is Qkon in component Ca_binding_to_troponin_to_thin_filament_regulation (dimensionless). * CONSTANTS[4] is Qkoff in component Ca_binding_to_troponin_to_thin_filament_regulation (dimensionless). * CONSTANTS[5] is Qkn_p in component Ca_binding_to_troponin_to_thin_filament_regulation (dimensionless). * CONSTANTS[6] is Qkp_n in component Ca_binding_to_troponin_to_thin_filament_regulation (dimensionless). * CONSTANTS[7] is kon in component Ca_binding_to_troponin_to_thin_filament_regulation (second_order_rate_constant). * CONSTANTS[8] is koffL in component Ca_binding_to_troponin_to_thin_filament_regulation (first_order_rate_constant). * CONSTANTS[9] is koffH in component Ca_binding_to_troponin_to_thin_filament_regulation (first_order_rate_constant). * CONSTANTS[10] is perm50 in component Ca_binding_to_troponin_to_thin_filament_regulation (dimensionless). * CONSTANTS[11] is nperm in component Ca_binding_to_troponin_to_thin_filament_regulation (dimensionless). * CONSTANTS[12] is kn_p in component Ca_binding_to_troponin_to_thin_filament_regulation (first_order_rate_constant). * CONSTANTS[13] is kp_n in component Ca_binding_to_troponin_to_thin_filament_regulation (first_order_rate_constant). * CONSTANTS[14] is koffmod in component Ca_binding_to_troponin_to_thin_filament_regulation (dimensionless). * ALGEBRAIC[7] is Tropreg in component Ca_binding_to_troponin_to_thin_filament_regulation (dimensionless). * ALGEBRAIC[36] is permtot in component Ca_binding_to_troponin_to_thin_filament_regulation (dimensionless). * ALGEBRAIC[37] is inprmt in component Ca_binding_to_troponin_to_thin_filament_regulation (dimensionless). * CONSTANTS[15] is pH in component Ca_binding_to_troponin_to_thin_filament_regulation (dimensionless). * CONSTANTS[16] is m in component Ca_binding_to_troponin_to_thin_filament_regulation (dimensionless). * CONSTANTS[17] is kdHCa in component Ca_binding_to_troponin_to_thin_filament_regulation (micromolar). * CONSTANTS[18] is TmpC in component model_parameters (celsius). * CONSTANTS[19] is Cai in component model_parameters (micromolar). * CONSTANTS[64] is fappT in component thin_filament_regulation_and_crossbridge_cycling_rates (first_order_rate_constant). * ALGEBRAIC[9] is gappT in component thin_filament_regulation_and_crossbridge_cycling_rates (first_order_rate_constant). * ALGEBRAIC[12] is hfT in component thin_filament_regulation_and_crossbridge_cycling_rates (first_order_rate_constant). * ALGEBRAIC[13] is hbT in component thin_filament_regulation_and_crossbridge_cycling_rates (first_order_rate_constant). * ALGEBRAIC[15] is gxbT in component thin_filament_regulation_and_crossbridge_cycling_rates (first_order_rate_constant). * CONSTANTS[20] is fapp in component thin_filament_regulation_and_crossbridge_cycling_rates (first_order_rate_constant). * CONSTANTS[21] is gapp in component thin_filament_regulation_and_crossbridge_cycling_rates (first_order_rate_constant). * CONSTANTS[22] is hf in component thin_filament_regulation_and_crossbridge_cycling_rates (first_order_rate_constant). * CONSTANTS[23] is hb in component thin_filament_regulation_and_crossbridge_cycling_rates (first_order_rate_constant). * CONSTANTS[24] is gxb in component thin_filament_regulation_and_crossbridge_cycling_rates (first_order_rate_constant). * CONSTANTS[25] is gslmod in component thin_filament_regulation_and_crossbridge_cycling_rates (dimensionless). * ALGEBRAIC[10] is hfmd in component thin_filament_regulation_and_crossbridge_cycling_rates (dimensionless). * ALGEBRAIC[11] is hbmd in component thin_filament_regulation_and_crossbridge_cycling_rates (dimensionless). * CONSTANTS[26] is hfmdc in component thin_filament_regulation_and_crossbridge_cycling_rates (dimensionless). * CONSTANTS[27] is hbmdc in component thin_filament_regulation_and_crossbridge_cycling_rates (dimensionless). * CONSTANTS[28] is sigmap in component thin_filament_regulation_and_crossbridge_cycling_rates (dimensionless). * CONSTANTS[29] is sigman in component thin_filament_regulation_and_crossbridge_cycling_rates (dimensionless). * CONSTANTS[30] is xbmodsp in component thin_filament_regulation_and_crossbridge_cycling_rates (dimensionless). * CONSTANTS[31] is Qfapp in component thin_filament_regulation_and_crossbridge_cycling_rates (dimensionless). * CONSTANTS[32] is Qgapp in component thin_filament_regulation_and_crossbridge_cycling_rates (dimensionless). * CONSTANTS[33] is Qhf in component thin_filament_regulation_and_crossbridge_cycling_rates (dimensionless). * CONSTANTS[34] is Qhb in component thin_filament_regulation_and_crossbridge_cycling_rates (dimensionless). * CONSTANTS[35] is Qgxb in component thin_filament_regulation_and_crossbridge_cycling_rates (dimensionless). * ALGEBRAIC[14] is gxbmd in component thin_filament_regulation_and_crossbridge_cycling_rates (dimensionless). * ALGEBRAIC[8] is gapslmd in component thin_filament_regulation_and_crossbridge_cycling_rates (dimensionless). * CONSTANTS[36] is x_0 in component model_parameters (micrometre). * STATES[3] is xXBpostr in component mean_strain_of_strongly_bound_states (micrometre). * STATES[4] is xXBprer in component mean_strain_of_strongly_bound_states (micrometre). * STATES[5] is XBpostr in component regulation_and_crossbridge_cycling_state_equations (dimensionless). * STATES[6] is XBprer in component regulation_and_crossbridge_cycling_state_equations (dimensionless). * ALGEBRAIC[44] is dXBpostr in component regulation_and_crossbridge_cycling_state_equations (first_order_rate_constant). * ALGEBRAIC[38] is dXBprer in component regulation_and_crossbridge_cycling_state_equations (first_order_rate_constant). * CONSTANTS[65] is alpha1_plus in component regulation_and_crossbridge_cycling_state_equations (first_order_rate_constant). * ALGEBRAIC[17] is alpha2_plus in component regulation_and_crossbridge_cycling_state_equations (first_order_rate_constant). * ALGEBRAIC[18] is alpha3_plus in component regulation_and_crossbridge_cycling_state_equations (first_order_rate_constant). * ALGEBRAIC[19] is alpha1_minus in component regulation_and_crossbridge_cycling_state_equations (first_order_rate_constant). * ALGEBRAIC[20] is alpha2_minus in component regulation_and_crossbridge_cycling_state_equations (first_order_rate_constant). * ALGEBRAIC[39] is alpha3_minus in component regulation_and_crossbridge_cycling_state_equations (first_order_rate_constant). * CONSTANTS[37] is kMgATP in component regulation_and_crossbridge_cycling_state_equations (micromolar2). * CONSTANTS[38] is kdADP in component regulation_and_crossbridge_cycling_state_equations (micromolar). * CONSTANTS[39] is xPi_cons in component regulation_and_crossbridge_cycling_state_equations (micromolar). * CONSTANTS[40] is MgATP_cons in component regulation_and_crossbridge_cycling_state_equations (micromolar). * ALGEBRAIC[21] is fxbT in component regulation_and_crossbridge_cycling_state_equations (first_order_rate_constant). * STATES[7] is N_NoXB in component regulation_and_crossbridge_cycling_state_equations (dimensionless). * STATES[8] is P_NoXB in component regulation_and_crossbridge_cycling_state_equations (dimensionless). * STATES[9] is P in component regulation_and_crossbridge_cycling_state_equations (dimensionless). * ALGEBRAIC[16] is N in component regulation_and_crossbridge_cycling_state_equations (dimensionless). * CONSTANTS[41] is MgADP_cons in component regulation_and_crossbridge_cycling_state_equations (micromolar). * CONSTANTS[42] is xPi in component regulation_and_crossbridge_cycling_state_equations (micromolar). * CONSTANTS[43] is MgATP in component regulation_and_crossbridge_cycling_state_equations (micromolar). * CONSTANTS[44] is MgADP in component regulation_and_crossbridge_cycling_state_equations (micromolar). * ALGEBRAIC[46] is dxXBpostr in component mean_strain_of_strongly_bound_states (micrometre_per_millisecond). * ALGEBRAIC[45] is dxXBprer in component mean_strain_of_strongly_bound_states (micrometre_per_millisecond). * CONSTANTS[45] is xPsi in component mean_strain_of_strongly_bound_states (dimensionless). * ALGEBRAIC[40] is dutyprer in component mean_strain_of_strongly_bound_states (dimensionless). * ALGEBRAIC[41] is dutypostr in component mean_strain_of_strongly_bound_states (dimensionless). * CONSTANTS[61] is dSL in component normalised_active_and_passive_force (micrometre_per_millisecond). * CONSTANTS[67] is SSXBpostr in component normalised_active_and_passive_force (dimensionless). * ALGEBRAIC[22] is SSXBprer in component normalised_active_and_passive_force (dimensionless). * CONSTANTS[46] is kxb in component normalised_active_and_passive_force (millinewton_per_millimetre2). * CONSTANTS[68] is Fnordv in component normalised_active_and_passive_force (millinewton_micrometre_per_millimetre2). * ALGEBRAIC[23] is force in component normalised_active_and_passive_force (millinewton_micrometre_per_millimetre2). * ALGEBRAIC[24] is active in component normalised_active_and_passive_force (unit_normalised_force). * ALGEBRAIC[27] is ppforce in component normalised_active_and_passive_force (unit_normalised_force). * ALGEBRAIC[25] is ppforce_t in component normalised_active_and_passive_force (unit_normalised_force). * ALGEBRAIC[26] is ppforce_c in component normalised_active_and_passive_force (unit_normalised_force). * CONSTANTS[69] is preload in component normalised_active_and_passive_force (unit_normalised_force). * ALGEBRAIC[28] is afterload in component normalised_active_and_passive_force (unit_normalised_force). * STATES[10] is intf in component normalised_active_and_passive_force (unit_normalised_force_millisecond). * CONSTANTS[47] is SL_c in component normalised_active_and_passive_force (micrometre). * CONSTANTS[48] is SLrest in component normalised_active_and_passive_force (micrometre). * CONSTANTS[49] is SLset in component normalised_active_and_passive_force (micrometre). * CONSTANTS[50] is PCon_t in component normalised_active_and_passive_force (unit_normalised_force). * CONSTANTS[51] is PExp_t in component normalised_active_and_passive_force (per_micrometre). * CONSTANTS[52] is PCon_c in component normalised_active_and_passive_force (unit_normalised_force). * CONSTANTS[53] is PExp_c in component normalised_active_and_passive_force (per_micrometre). * CONSTANTS[54] is KSE in component normalised_active_and_passive_force (unit_normalised_force_per_micrometre). * CONSTANTS[66] is fxb in component normalised_active_and_passive_force (first_order_rate_constant). * CONSTANTS[55] is SEon in component normalised_active_and_passive_force (dimensionless). * ALGEBRAIC[29] is FrSBXB in component calculation_of_micromolar_per_millisecondes_of_Ca_for_apparent_Ca_binding (dimensionless). * ALGEBRAIC[47] is dFrSBXB in component calculation_of_micromolar_per_millisecondes_of_Ca_for_apparent_Ca_binding (first_order_rate_constant). * ALGEBRAIC[30] is dsovr_ze in component calculation_of_micromolar_per_millisecondes_of_Ca_for_apparent_Ca_binding (micrometre_per_millisecond). * ALGEBRAIC[31] is dsovr_cle in component calculation_of_micromolar_per_millisecondes_of_Ca_for_apparent_Ca_binding (micrometre_per_millisecond). * ALGEBRAIC[32] is dlen_sovr in component calculation_of_micromolar_per_millisecondes_of_Ca_for_apparent_Ca_binding (micrometre_per_millisecond). * ALGEBRAIC[34] is dSOVFThick in component calculation_of_micromolar_per_millisecondes_of_Ca_for_apparent_Ca_binding (first_order_rate_constant). * ALGEBRAIC[33] is dSOVFThin in component calculation_of_micromolar_per_millisecondes_of_Ca_for_apparent_Ca_binding (first_order_rate_constant). * CONSTANTS[56] is kxb in component calculation_of_micromolar_per_millisecondes_of_Ca_for_apparent_Ca_binding (millinewton_per_millimetre2). * ALGEBRAIC[49] is dforce in component calculation_of_micromolar_per_millisecondes_of_Ca_for_apparent_Ca_binding (millinewton_micrometre_per_millimetre2_per_millisecond). * CONSTANTS[57] is Trop_conc in component calculation_of_micromolar_per_millisecondes_of_Ca_for_apparent_Ca_binding (micromolar). * ALGEBRAIC[35] is TropTot in component calculation_of_micromolar_per_millisecondes_of_Ca_for_apparent_Ca_binding (micromolar). * ALGEBRAIC[48] is dTropTot in component calculation_of_micromolar_per_millisecondes_of_Ca_for_apparent_Ca_binding (micromolar_per_millisecond). * RATES[1] is d/dt TRPNCaL in component Ca_binding_to_troponin_to_thin_filament_regulation (dimensionless). * RATES[2] is d/dt TRPNCaH in component Ca_binding_to_troponin_to_thin_filament_regulation (dimensionless). * RATES[7] is d/dt N_NoXB in component regulation_and_crossbridge_cycling_state_equations (dimensionless). * RATES[8] is d/dt P_NoXB in component regulation_and_crossbridge_cycling_state_equations (dimensionless). * RATES[9] is d/dt P in component regulation_and_crossbridge_cycling_state_equations (dimensionless). * RATES[6] is d/dt XBprer in component regulation_and_crossbridge_cycling_state_equations (dimensionless). * RATES[5] is d/dt XBpostr in component regulation_and_crossbridge_cycling_state_equations (dimensionless). * RATES[4] is d/dt xXBprer in component mean_strain_of_strongly_bound_states (micrometre). * RATES[3] is d/dt xXBpostr in component mean_strain_of_strongly_bound_states (micrometre). * RATES[0] is d/dt SL in component normalised_active_and_passive_force (micrometre). * RATES[10] is d/dt intf in component normalised_active_and_passive_force (unit_normalised_force_millisecond). * There are a total of 7 condition variables. */ void initConsts(double* CONSTANTS, double* RATES, double *STATES) { CONSTANTS[0] = 1.2; CONSTANTS[1] = 1.65; CONSTANTS[2] = 0.1; STATES[0] = 2.2; STATES[1] = 0.0147730085063734; STATES[2] = 0.13066096561522; CONSTANTS[3] = 1.5; CONSTANTS[4] = 1.3; CONSTANTS[5] = 1.6; CONSTANTS[6] = 1.6; CONSTANTS[7] = 0.05; CONSTANTS[8] = 0.25; CONSTANTS[9] = 0.025; CONSTANTS[10] = 0.5; CONSTANTS[11] = 15; CONSTANTS[12] = 0.5; CONSTANTS[13] = 0.05; CONSTANTS[14] = 1; CONSTANTS[15] = 7.15; CONSTANTS[16] = 1; CONSTANTS[17] = 2e-2; CONSTANTS[18] = 22; CONSTANTS[19] = 200.0; CONSTANTS[20] = 0.5; CONSTANTS[21] = 0.07; CONSTANTS[22] = 2; CONSTANTS[23] = 0.4; CONSTANTS[24] = 0.07; CONSTANTS[25] = 6; CONSTANTS[26] = 5; CONSTANTS[27] = 0; CONSTANTS[28] = 8; CONSTANTS[29] = 1; CONSTANTS[30] = 0.2; CONSTANTS[31] = 6.25; CONSTANTS[32] = 2.5; CONSTANTS[33] = 6.25; CONSTANTS[34] = 6.25; CONSTANTS[35] = 6.25; CONSTANTS[36] = 0.007; STATES[3] = 0.00700005394873882; STATES[4] = 3.41212828972468e-8; STATES[5] = 1.81017564383744e-6; STATES[6] = 3.0494964880038e-7; CONSTANTS[37] = 15400e6; CONSTANTS[38] = 4; CONSTANTS[39] = 2e3; CONSTANTS[40] = 5e3; STATES[7] = 0.999999959256274; STATES[8] = 4.07437173988636e-8; STATES[9] = 0.999997834540066; CONSTANTS[41] = 36; CONSTANTS[42] = 2e3; CONSTANTS[43] = 5e3; CONSTANTS[44] = 36.3; CONSTANTS[45] = 2; CONSTANTS[46] = 120; STATES[10] = -4.5113452510363e-6; CONSTANTS[47] = 2.25; CONSTANTS[48] = 1.85; CONSTANTS[49] = 1.9; CONSTANTS[50] = 0.002; CONSTANTS[51] = 10; CONSTANTS[52] = 0.02; CONSTANTS[53] = 70; CONSTANTS[54] = 1; CONSTANTS[55] = 1; CONSTANTS[56] = 120; CONSTANTS[57] = 70; CONSTANTS[58] = CONSTANTS[8]*CONSTANTS[14]*pow(CONSTANTS[4], (CONSTANTS[18] - 37.0000)/10.0000); CONSTANTS[59] = CONSTANTS[9]*CONSTANTS[14]*pow(CONSTANTS[4], (CONSTANTS[18] - 37.0000)/10.0000); CONSTANTS[60] = 1.00000e+07*pow(10.0000, - CONSTANTS[15]); CONSTANTS[61] = 0.00000; CONSTANTS[62] = 1.00000e+07*pow(10.0000, -7.15000); CONSTANTS[70] = CONSTANTS[61]; CONSTANTS[63] = ((pow(CONSTANTS[17], CONSTANTS[16])+pow(CONSTANTS[62], CONSTANTS[16]))/(pow(CONSTANTS[17], CONSTANTS[16])+pow(CONSTANTS[60], CONSTANTS[16])))*( CONSTANTS[7]*pow(CONSTANTS[3], (CONSTANTS[18] - 37.0000)/10.0000)); CONSTANTS[64] = CONSTANTS[20]*CONSTANTS[30]*pow(CONSTANTS[31], (CONSTANTS[18] - 37.0000)/10.0000); CONSTANTS[65] = CONSTANTS[64]; CONSTANTS[66] = ( CONSTANTS[38]*CONSTANTS[20]*CONSTANTS[22]*(CONSTANTS[24]/CONSTANTS[40]))/( (CONSTANTS[21]/CONSTANTS[39])*(CONSTANTS[23]/CONSTANTS[62])*CONSTANTS[37]); CONSTANTS[67] = ( CONSTANTS[20]*CONSTANTS[22]+ CONSTANTS[66]*CONSTANTS[21]+ CONSTANTS[66]*CONSTANTS[23])/( CONSTANTS[22]*CONSTANTS[24]+ CONSTANTS[23]*CONSTANTS[21]+ CONSTANTS[24]*CONSTANTS[21]+ CONSTANTS[66]*CONSTANTS[23]+ CONSTANTS[24]*CONSTANTS[20]+ CONSTANTS[23]*CONSTANTS[20]+ CONSTANTS[66]*CONSTANTS[21]+ CONSTANTS[20]*CONSTANTS[22]+ CONSTANTS[66]*CONSTANTS[23]); CONSTANTS[68] = CONSTANTS[46]*CONSTANTS[36]*CONSTANTS[67]; CONSTANTS[69] = (fabs(CONSTANTS[49] - CONSTANTS[48])/(CONSTANTS[49] - CONSTANTS[48]))*CONSTANTS[50]*(exp( CONSTANTS[51]*fabs(CONSTANTS[49] - CONSTANTS[48])) - 1.00000); RATES[1] = 0.1001; RATES[2] = 0.1001; RATES[7] = 0.1001; RATES[8] = 0.1001; RATES[9] = 0.1001; RATES[6] = 0.1001; RATES[5] = 0.1001; RATES[4] = 0.1001; RATES[3] = 0.1001; RATES[10] = 0.1001; } void computeResiduals(double VOI, double* CONSTANTS, double* RATES, double* OLDRATES, double* STATES, double* OLDSTATES, double* ALGEBRAIC, double* CONDVARS) { resid[0] = RATES[1] - ALGEBRAIC[5]; resid[1] = RATES[2] - ALGEBRAIC[6]; resid[2] = RATES[7] - ALGEBRAIC[43]*STATES[8] - ALGEBRAIC[42]*STATES[7]; resid[3] = RATES[8] - ALGEBRAIC[42]*STATES[7] - ALGEBRAIC[43]*STATES[8]; resid[4] = RATES[9] - ALGEBRAIC[42]*ALGEBRAIC[16] - (ALGEBRAIC[43]+CONSTANTS[65])*STATES[9]; resid[5] = RATES[6] - ALGEBRAIC[38]; resid[6] = RATES[5] - ALGEBRAIC[44]; resid[7] = RATES[4] - ALGEBRAIC[45]; resid[8] = RATES[3] - ALGEBRAIC[46]; resid[9] = RATES[10] - (CONSTANTS[69]+ALGEBRAIC[28]) - (ALGEBRAIC[27]+ALGEBRAIC[24]); resid[10] = RATES[0] - CONSTANTS[70]; } void computeVariables(double VOI, double* CONSTANTS, double* RATES, double* STATES, double* ALGEBRAIC) { ALGEBRAIC[22] = ( CONSTANTS[66]*CONSTANTS[23]+ CONSTANTS[24]*CONSTANTS[20]+ ALGEBRAIC[13]*CONSTANTS[20])/( CONSTANTS[22]*CONSTANTS[24]+ CONSTANTS[23]*CONSTANTS[21]+ CONSTANTS[24]*CONSTANTS[21]+ CONSTANTS[66]*CONSTANTS[23]+ CONSTANTS[24]*CONSTANTS[20]+ CONSTANTS[23]*CONSTANTS[20]+ CONSTANTS[66]*CONSTANTS[21]+ CONSTANTS[20]*CONSTANTS[22]+ CONSTANTS[66]*CONSTANTS[23]); ALGEBRAIC[29] = (STATES[5]+STATES[6])/(CONSTANTS[67]+ALGEBRAIC[22]); ALGEBRAIC[30] = (CONDVAR[5]<0.00000 ? - 0.500000*CONSTANTS[61] : 0.00000); ALGEBRAIC[31] = (CONDVAR[6]>0.00000 ? - 0.500000*CONSTANTS[61] : 0.00000); ALGEBRAIC[32] = ALGEBRAIC[30] - ALGEBRAIC[31]; ALGEBRAIC[33] = ALGEBRAIC[32]/CONSTANTS[0]; ALGEBRAIC[34] = ( 2.00000*ALGEBRAIC[32])/(CONSTANTS[1] - CONSTANTS[2]); ALGEBRAIC[35] = CONSTANTS[57]*( (1.00000 - ALGEBRAIC[4])*STATES[1]+ ALGEBRAIC[4]*( ALGEBRAIC[29]*STATES[2]+ (1.00000 - ALGEBRAIC[29])*STATES[1])); ALGEBRAIC[47] = (ALGEBRAIC[44]+ALGEBRAIC[38])/(CONSTANTS[67]+ALGEBRAIC[22]); ALGEBRAIC[48] = CONSTANTS[57]*( - ALGEBRAIC[33]*STATES[1]+ (1.00000 - ALGEBRAIC[4])*ALGEBRAIC[5]+ ALGEBRAIC[33]*( ALGEBRAIC[29]*STATES[2]+ (1.00000 - ALGEBRAIC[29])*STATES[1])+ ALGEBRAIC[4]*(( ALGEBRAIC[47]*STATES[2]+ ALGEBRAIC[29]*ALGEBRAIC[6]+ (1.00000 - ALGEBRAIC[29])*ALGEBRAIC[5]) - ALGEBRAIC[47]*STATES[1])); ALGEBRAIC[49] = CONSTANTS[56]*ALGEBRAIC[34]*( STATES[3]*STATES[5]+ STATES[4]*STATES[6])+ CONSTANTS[56]*ALGEBRAIC[3]*( ALGEBRAIC[46]*STATES[5]+ STATES[3]*ALGEBRAIC[44]+ ALGEBRAIC[45]*STATES[6]+ STATES[4]*ALGEBRAIC[38]); } void computeEssentialVariables(double VOI, double* CONSTANTS, double* RATES, double* STATES, double* ALGEBRAIC) { ALGEBRAIC[5] = CONSTANTS[63]*CONSTANTS[19]*(1.00000 - STATES[1]) - CONSTANTS[58]*STATES[1]; ALGEBRAIC[6] = CONSTANTS[63]*CONSTANTS[19]*(1.00000 - STATES[2]) - CONSTANTS[59]*STATES[2]; ALGEBRAIC[16] = 1.00000 - (STATES[9]+STATES[6]+STATES[5]); ALGEBRAIC[0] = (CONDVAR[0]<0.00000 ? CONSTANTS[1]/2.00000 : STATES[0]/2.00000); ALGEBRAIC[1] = (CONDVAR[1]>0.00000 ? STATES[0]/2.00000 - (STATES[0] - CONSTANTS[0]) : CONSTANTS[2]/2.00000); ALGEBRAIC[2] = ALGEBRAIC[0] - ALGEBRAIC[1]; ALGEBRAIC[3] = ( ALGEBRAIC[2]*2.00000)/(CONSTANTS[1] - CONSTANTS[2]); ALGEBRAIC[23] = CONSTANTS[46]*ALGEBRAIC[3]*( STATES[3]*STATES[5]+ STATES[4]*STATES[6]); ALGEBRAIC[24] = ( 1.00000*ALGEBRAIC[23])/CONSTANTS[68]; ALGEBRAIC[25] = ((STATES[0] - CONSTANTS[48])/fabs(STATES[0] - CONSTANTS[48]))*CONSTANTS[50]*(exp( CONSTANTS[51]*fabs(STATES[0] - CONSTANTS[48])) - 1.00000); ALGEBRAIC[26] = (CONDVAR[4]>0.00000 ? CONSTANTS[52]*(exp( CONSTANTS[53]*fabs(STATES[0] - CONSTANTS[47])) - 1.00000) : 0.00000); ALGEBRAIC[27] = ALGEBRAIC[25]+ALGEBRAIC[26]; ALGEBRAIC[28] = (CONSTANTS[55]==1.00000 ? CONSTANTS[54]*(CONSTANTS[49] - STATES[0]) : 0.00000); ALGEBRAIC[10] = exp( (- STATES[4]/fabs(STATES[4]))*CONSTANTS[26]*pow(STATES[4]/CONSTANTS[36], 2.00000)); ALGEBRAIC[12] = CONSTANTS[22]*ALGEBRAIC[10]*CONSTANTS[30]*pow(CONSTANTS[33], (CONSTANTS[18] - 37.0000)/10.0000); ALGEBRAIC[17] = ALGEBRAIC[12]; ALGEBRAIC[8] = 1.00000+ (1.00000 - ALGEBRAIC[3])*CONSTANTS[25]; ALGEBRAIC[9] = CONSTANTS[21]*ALGEBRAIC[8]*CONSTANTS[30]*pow(CONSTANTS[32], (CONSTANTS[18] - 37.0000)/10.0000); ALGEBRAIC[19] = CONSTANTS[42]*(ALGEBRAIC[9]/CONSTANTS[39]); ALGEBRAIC[11] = exp( ((STATES[3] - CONSTANTS[36])/fabs(STATES[3] - CONSTANTS[36]))*CONSTANTS[27]*pow((STATES[3] - CONSTANTS[36])/CONSTANTS[36], 2.00000)); ALGEBRAIC[13] = CONSTANTS[23]*ALGEBRAIC[11]*CONSTANTS[30]*pow(CONSTANTS[34], (CONSTANTS[18] - 37.0000)/10.0000); ALGEBRAIC[20] = CONSTANTS[60]*(ALGEBRAIC[13]/CONSTANTS[62])*((CONSTANTS[38]+CONSTANTS[41])/CONSTANTS[41])*(CONSTANTS[44]/(CONSTANTS[38]+CONSTANTS[44])); ALGEBRAIC[38] = ( CONSTANTS[65]*STATES[9]+ ALGEBRAIC[20]*STATES[5]) - (ALGEBRAIC[19]+ALGEBRAIC[17])*STATES[6]; ALGEBRAIC[4] = ALGEBRAIC[2]/CONSTANTS[0]; ALGEBRAIC[7] = (1.00000 - ALGEBRAIC[4])*STATES[1]+ ALGEBRAIC[4]*STATES[2]; ALGEBRAIC[36] = pow(fabs(1.00000/(1.00000+pow(CONSTANTS[10]/ALGEBRAIC[7], CONSTANTS[11]))), 1.0 / 2); ALGEBRAIC[42] = CONSTANTS[12]*ALGEBRAIC[36]*pow(CONSTANTS[5], (CONSTANTS[18] - 37.0000)/10.0000); ALGEBRAIC[37] = (CONDVAR[2]<0.00000 ? 1.00000/ALGEBRAIC[36] : 100.000); ALGEBRAIC[43] = CONSTANTS[13]*ALGEBRAIC[37]*pow(CONSTANTS[6], (CONSTANTS[18] - 37.0000)/10.0000); ALGEBRAIC[14] = (CONDVAR[3]<0.00000 ? exp( CONSTANTS[28]*pow((CONSTANTS[36] - STATES[3])/CONSTANTS[36], 2.00000)) : exp( CONSTANTS[29]*pow((STATES[3] - CONSTANTS[36])/CONSTANTS[36], 2.00000))); ALGEBRAIC[15] = CONSTANTS[24]*ALGEBRAIC[14]*CONSTANTS[30]*pow(CONSTANTS[35], (CONSTANTS[18] - 37.0000)/10.0000); ALGEBRAIC[18] = CONSTANTS[43]*(ALGEBRAIC[15]/CONSTANTS[40])*((CONSTANTS[38]+CONSTANTS[41])/(CONSTANTS[38]+CONSTANTS[44])); ALGEBRAIC[21] = ( CONSTANTS[38]*CONSTANTS[64]*ALGEBRAIC[12]*(ALGEBRAIC[15]/CONSTANTS[40]))/( (ALGEBRAIC[9]/CONSTANTS[39])*(ALGEBRAIC[13]/CONSTANTS[62])*CONSTANTS[37]); ALGEBRAIC[39] = ALGEBRAIC[21]; ALGEBRAIC[44] = ( ALGEBRAIC[39]*STATES[9]+ ALGEBRAIC[17]*STATES[6]) - (ALGEBRAIC[20]+ALGEBRAIC[18])*STATES[5]; ALGEBRAIC[40] = ( ALGEBRAIC[39]*ALGEBRAIC[20]+ ALGEBRAIC[18]*CONSTANTS[65]+ ALGEBRAIC[20]*CONSTANTS[65])/( CONSTANTS[65]*ALGEBRAIC[17]+ ALGEBRAIC[39]*ALGEBRAIC[19]+ ALGEBRAIC[39]*ALGEBRAIC[17]+ ALGEBRAIC[39]*ALGEBRAIC[20]+ ALGEBRAIC[18]*CONSTANTS[65]+ ALGEBRAIC[20]*CONSTANTS[65]+ ALGEBRAIC[17]*ALGEBRAIC[18]+ ALGEBRAIC[39]*ALGEBRAIC[19]+ ALGEBRAIC[18]*ALGEBRAIC[19]); ALGEBRAIC[45] = CONSTANTS[61]/2.00000+ (CONSTANTS[45]/ALGEBRAIC[40])*(- ( CONSTANTS[65]*STATES[4])+ ALGEBRAIC[20]*(STATES[3] - (CONSTANTS[36]+STATES[4]))); ALGEBRAIC[41] = ( CONSTANTS[65]*ALGEBRAIC[17]+ ALGEBRAIC[39]*ALGEBRAIC[19]+ ALGEBRAIC[39]*ALGEBRAIC[17])/( CONSTANTS[65]*ALGEBRAIC[17]+ ALGEBRAIC[39]*ALGEBRAIC[19]+ ALGEBRAIC[39]*ALGEBRAIC[17]+ ALGEBRAIC[39]*ALGEBRAIC[20]+ ALGEBRAIC[18]*CONSTANTS[65]+ ALGEBRAIC[20]*CONSTANTS[65]+ ALGEBRAIC[17]*ALGEBRAIC[18]+ ALGEBRAIC[39]*ALGEBRAIC[19]+ ALGEBRAIC[18]*ALGEBRAIC[19]); ALGEBRAIC[46] = CONSTANTS[61]/2.00000+ (CONSTANTS[45]/ALGEBRAIC[41])*( ALGEBRAIC[17]*((STATES[4]+CONSTANTS[36]) - STATES[3])); } void getStateInformation(double* SI) { SI[0] = 1.0; SI[1] = 1.0; SI[2] = 1.0; SI[3] = 1.0; SI[4] = 1.0; SI[5] = 1.0; SI[6] = 1.0; SI[7] = 1.0; SI[8] = 1.0; SI[9] = 1.0; SI[10] = 1.0; } void computeRoots(double VOI, double* CONSTANTS, double* RATES, double* OLDRATES, double* STATES, double* OLDSTATES, double* ALGEBRAIC, double* CONDVARS) { CONDVAR[0] = CONSTANTS[1]/2.00000 - STATES[0]/2.00000; CONDVAR[1] = (STATES[0]/2.00000 - (STATES[0] - CONSTANTS[0])) - CONSTANTS[2]/2.00000; CONDVAR[2] = 1.00000/ALGEBRAIC[36] - 100.000; CONDVAR[3] = STATES[3] - CONSTANTS[36]; CONDVAR[4] = STATES[0] - CONSTANTS[47]; CONDVAR[5] = STATES[0] - CONSTANTS[1]; CONDVAR[6] = ( 2.00000*CONSTANTS[0] - STATES[0]) - CONSTANTS[2]; }