/* There are a total of 9 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 26 entries in the constant variable array. */ /* * VOI is time in component Environment (second). * ALGEBRAIC[0] is P_L in component PluralPressureFunction (mmHg). * ALGEBRAIC[1] is dP_Ldt in component PluralPressureFunction (mmHg_per_second). * CONSTANTS[0] is P_m in component PluralPressureFunction (mmHg). * CONSTANTS[23] is R in component PluralPressureFunction (mmHg_second_per_litre). * CONSTANTS[1] is omega in component PluralPressureFunction (radian_per_second). * CONSTANTS[2] is V_T in component PluralPressureFunction (litre). * CONSTANTS[3] is E in component PluralPressureFunction (mmHg_per_second). * CONSTANTS[4] is P_m in component lungMechanics (mmHg). * STATES[0] is V_A in component lungMechanics (litre). * CONSTANTS[5] is E in component lungMechanics (mmHg_per_second). * STATES[1] is P_A in component lungMechanics (mmHg). * CONSTANTS[6] is R in component lungMechanics (mmHg_second_per_litre). * ALGEBRAIC[6] is Q_A in component gasExchange (litre_per_second). * ALGEBRAIC[3] is q in component lungMechanics (litre_per_second). * CONSTANTS[7] is D_o in component gasExchange (mole_per_second_mmHg). * STATES[2] is f_o in component gasExchange (dimensionless). * ALGEBRAIC[7] is f_oi in component gasExchange (dimensionless). * CONSTANTS[8] is D_c in component gasExchange (mole_per_second_mmHg). * STATES[3] is f_c in component gasExchange (dimensionless). * ALGEBRAIC[8] is f_ci in component gasExchange (dimensionless). * CONSTANTS[9] is P_w in component gasExchange (mmHg). * ALGEBRAIC[4] is p_ao in component gasExchange (mmHg). * STATES[4] is p_o in component gasTransport (mmHg). * ALGEBRAIC[5] is p_ac in component gasExchange (mmHg). * CONSTANTS[10] is f_om in component gasExchange (dimensionless). * CONSTANTS[11] is f_cm in component gasExchange (dimensionless). * STATES[5] is p_c in component gasTransport (mmHg). * CONSTANTS[12] is V_D in component gasExchange (litre). * CONSTANTS[13] is V_T in component gasExchange (litre). * ALGEBRAIC[2] is df_satdp in component gasTransport (dimensionless). * CONSTANTS[14] is L in component gasTransport (dimensionless). * CONSTANTS[15] is K_T in component gasTransport (litre_per_mole). * CONSTANTS[16] is K_R in component gasTransport (litre_per_mole). * CONSTANTS[17] is sigma in component gasTransport (mole_per_litre_mmHg). * CONSTANTS[18] is V_c in component gasTransport (litre). * CONSTANTS[19] is T_h in component gasTransport (mole_per_litre). * CONSTANTS[24] is delta in component gasTransport (dimensionless). * CONSTANTS[25] is h in component gasTransport (mole_per_litre). * CONSTANTS[20] is l_2 in component gasTransport (litre_per_second_mole). * CONSTANTS[21] is r_2 in component gasTransport (per_second). * CONSTANTS[22] is sigma_c in component gasTransport (mole_per_litre_mmHg). * STATES[6] is z in component gasTransport (dimensionless). * RATES[1] is d/dt P_A in component lungMechanics (mmHg). * RATES[0] is d/dt V_A in component lungMechanics (litre). * RATES[2] is d/dt f_o in component gasExchange (dimensionless). * RATES[3] is d/dt f_c in component gasExchange (dimensionless). * RATES[4] is d/dt p_o in component gasTransport (mmHg). * RATES[5] is d/dt p_c in component gasTransport (mmHg). * RATES[6] is d/dt z in component gasTransport (dimensionless). */ void initConsts(double* CONSTANTS, double* RATES, double *STATES) { CONSTANTS[0] = 760; CONSTANTS[1] = 1.256637; CONSTANTS[2] = 0.41; CONSTANTS[3] = 2.5; CONSTANTS[4] = 760; STATES[0] = 1; CONSTANTS[5] = 2.5; STATES[1] = 760; CONSTANTS[6] = 1; CONSTANTS[7] = 0.0000156; STATES[2] = 0.1368; CONSTANTS[8] = 0.0000316; STATES[3] = 0.05263; CONSTANTS[9] = 47; STATES[4] = 40; CONSTANTS[10] = 0.21; CONSTANTS[11] = 0; STATES[5] = 46; CONSTANTS[12] = 0.151; CONSTANTS[13] = 0.41; CONSTANTS[14] = 171200000; CONSTANTS[15] = 10000; CONSTANTS[16] = 3600000; CONSTANTS[17] = 0.0000014; CONSTANTS[18] = 0.071; CONSTANTS[19] = 0.002; CONSTANTS[20] = 164000; CONSTANTS[21] = 0.12; CONSTANTS[22] = 0.000033; STATES[6] = 0.00000044219; CONSTANTS[23] = ( 2.00000* 3.14159265358979*1.00000)/5.00000; CONSTANTS[24] = pow(10.0000, 1.90000); CONSTANTS[25] = 1.00000*pow(10.0000, - 7.40000); } void computeRates(double VOI, double* CONSTANTS, double* RATES, double* STATES, double* ALGEBRAIC) { RATES[6] = ( CONSTANTS[24]*CONSTANTS[21]*CONSTANTS[22]*STATES[5])/1.00000 - CONSTANTS[24]*CONSTANTS[20]*CONSTANTS[25]*STATES[6]; ALGEBRAIC[0] = (CONSTANTS[0] - (( CONSTANTS[23]*CONSTANTS[1]*CONSTANTS[2])/2.00000)* sin(( CONSTANTS[1]*VOI)/1.00000)) - CONSTANTS[3]*(2.50000 - (( CONSTANTS[2]*1.00000)/2.00000)*cos(( CONSTANTS[1]*VOI)/1.00000)); RATES[0] = ((CONSTANTS[4] - ALGEBRAIC[0]) - ( STATES[0]*CONSTANTS[5])/1.00000)/CONSTANTS[6]; ALGEBRAIC[2] = ( ( CONSTANTS[14]*pow(1.00000+ CONSTANTS[15]*CONSTANTS[17]*STATES[4], 4.00000)+pow(1.00000+ CONSTANTS[16]*CONSTANTS[17]*STATES[4], 4.00000))*( 3.00000*CONSTANTS[14]*pow(CONSTANTS[15], 2.00000)*pow(CONSTANTS[17], 2.00000)*STATES[4]*1.00000*pow(1.00000+ CONSTANTS[15]*CONSTANTS[17]*STATES[4], 2.00000)+ CONSTANTS[14]*CONSTANTS[15]*CONSTANTS[17]*1.00000*pow(1.00000+ CONSTANTS[15]*CONSTANTS[17]*STATES[4], 3.00000)+ 3.00000*pow(CONSTANTS[16], 2.00000)*pow(CONSTANTS[17], 2.00000)*STATES[4]*1.00000*pow(1.00000+ CONSTANTS[16]*CONSTANTS[17]*STATES[4], 2.00000)+ CONSTANTS[16]*CONSTANTS[17]*1.00000*pow(1.00000+ CONSTANTS[16]*CONSTANTS[17]*STATES[4], 3.00000)) - ( CONSTANTS[14]*CONSTANTS[15]*CONSTANTS[17]*STATES[4]*pow(1.00000+ CONSTANTS[15]*CONSTANTS[17]*STATES[4], 3.00000)+ CONSTANTS[16]*CONSTANTS[17]*STATES[4]*pow(1.00000+ CONSTANTS[16]*CONSTANTS[17]*STATES[4], 3.00000))*( 4.00000*CONSTANTS[14]*CONSTANTS[15]*CONSTANTS[17]*1.00000*pow(1.00000+ CONSTANTS[15]*CONSTANTS[17]*STATES[4], 3.00000)+ 4.00000*CONSTANTS[16]*CONSTANTS[17]*1.00000*pow(1.00000+ CONSTANTS[16]*CONSTANTS[17]*STATES[4], 3.00000)))/pow( CONSTANTS[14]*pow(1.00000+ CONSTANTS[15]*CONSTANTS[17]*STATES[4], 4.00000)+pow(1.00000+ CONSTANTS[16]*CONSTANTS[17]*STATES[4], 4.00000), 2.00000); RATES[4] = (CONSTANTS[7]/( CONSTANTS[17]*CONSTANTS[18]))*pow(1.00000+ (( 4.00000*CONSTANTS[19])/CONSTANTS[17])*ALGEBRAIC[2], - 1.00000)*( STATES[2]*(STATES[1] - CONSTANTS[9]) - STATES[4]); ALGEBRAIC[5] = STATES[3]*(STATES[1] - CONSTANTS[9]); RATES[5] = ( (CONSTANTS[8]/( CONSTANTS[22]*CONSTANTS[18]))*(ALGEBRAIC[5] - STATES[5])+ (( 1.00000*CONSTANTS[24]*CONSTANTS[20])/CONSTANTS[22])*CONSTANTS[25]*STATES[6]) - CONSTANTS[24]*CONSTANTS[21]*STATES[5]; ALGEBRAIC[1] = (( - CONSTANTS[23]*pow(CONSTANTS[1], 2.00000)*CONSTANTS[2])/( 2.00000*1.00000))*cos(( CONSTANTS[1]*VOI)/1.00000) - CONSTANTS[3]*(2.50000 - (CONSTANTS[2]/2.00000)* sin(( CONSTANTS[1]*VOI)/1.00000)); ALGEBRAIC[3] = (CONSTANTS[4] - STATES[1])/CONSTANTS[6]; ALGEBRAIC[4] = STATES[2]*(STATES[1] - CONSTANTS[9]); ALGEBRAIC[6] = ALGEBRAIC[3]+ 1.00000*CONSTANTS[8]*(STATES[5] - ALGEBRAIC[5])+ 1.00000*CONSTANTS[7]*(STATES[4] - ALGEBRAIC[4]); RATES[1] = ( CONSTANTS[4]*CONSTANTS[5]*ALGEBRAIC[6])/( STATES[1]*1.00000)+ALGEBRAIC[1]; ALGEBRAIC[7] = (CONSTANTS[13]>=CONSTANTS[12] ? ( STATES[2]*CONSTANTS[12]+ CONSTANTS[10]*(CONSTANTS[13] - CONSTANTS[12]))/CONSTANTS[13] : STATES[2]); RATES[2] = (1.00000/STATES[0])*(( 1.00000*CONSTANTS[7]*(STATES[4] - ALGEBRAIC[4])+ (ALGEBRAIC[7] - STATES[2])*ALGEBRAIC[3]) - STATES[2]*( 1.00000*CONSTANTS[8]*(STATES[5] - ALGEBRAIC[5])+ 1.00000*CONSTANTS[7]*(STATES[4] - ALGEBRAIC[4]))); ALGEBRAIC[8] = (CONSTANTS[13]>=CONSTANTS[12] ? ( STATES[3]*CONSTANTS[12]+ CONSTANTS[11]*(CONSTANTS[13] - CONSTANTS[12]))/CONSTANTS[13] : STATES[3]); RATES[3] = (1.00000/STATES[0])*(( 1.00000*CONSTANTS[8]*(STATES[5] - ALGEBRAIC[5])+ (ALGEBRAIC[8] - STATES[3])*ALGEBRAIC[3]) - STATES[3]*( 1.00000*CONSTANTS[7]*(STATES[4] - ALGEBRAIC[4])+ 1.00000*CONSTANTS[8]*(STATES[5] - ALGEBRAIC[5]))); } void computeVariables(double VOI, double* CONSTANTS, double* RATES, double* STATES, double* ALGEBRAIC) { ALGEBRAIC[0] = (CONSTANTS[0] - (( CONSTANTS[23]*CONSTANTS[1]*CONSTANTS[2])/2.00000)* sin(( CONSTANTS[1]*VOI)/1.00000)) - CONSTANTS[3]*(2.50000 - (( CONSTANTS[2]*1.00000)/2.00000)*cos(( CONSTANTS[1]*VOI)/1.00000)); ALGEBRAIC[2] = ( ( CONSTANTS[14]*pow(1.00000+ CONSTANTS[15]*CONSTANTS[17]*STATES[4], 4.00000)+pow(1.00000+ CONSTANTS[16]*CONSTANTS[17]*STATES[4], 4.00000))*( 3.00000*CONSTANTS[14]*pow(CONSTANTS[15], 2.00000)*pow(CONSTANTS[17], 2.00000)*STATES[4]*1.00000*pow(1.00000+ CONSTANTS[15]*CONSTANTS[17]*STATES[4], 2.00000)+ CONSTANTS[14]*CONSTANTS[15]*CONSTANTS[17]*1.00000*pow(1.00000+ CONSTANTS[15]*CONSTANTS[17]*STATES[4], 3.00000)+ 3.00000*pow(CONSTANTS[16], 2.00000)*pow(CONSTANTS[17], 2.00000)*STATES[4]*1.00000*pow(1.00000+ CONSTANTS[16]*CONSTANTS[17]*STATES[4], 2.00000)+ CONSTANTS[16]*CONSTANTS[17]*1.00000*pow(1.00000+ CONSTANTS[16]*CONSTANTS[17]*STATES[4], 3.00000)) - ( CONSTANTS[14]*CONSTANTS[15]*CONSTANTS[17]*STATES[4]*pow(1.00000+ CONSTANTS[15]*CONSTANTS[17]*STATES[4], 3.00000)+ CONSTANTS[16]*CONSTANTS[17]*STATES[4]*pow(1.00000+ CONSTANTS[16]*CONSTANTS[17]*STATES[4], 3.00000))*( 4.00000*CONSTANTS[14]*CONSTANTS[15]*CONSTANTS[17]*1.00000*pow(1.00000+ CONSTANTS[15]*CONSTANTS[17]*STATES[4], 3.00000)+ 4.00000*CONSTANTS[16]*CONSTANTS[17]*1.00000*pow(1.00000+ CONSTANTS[16]*CONSTANTS[17]*STATES[4], 3.00000)))/pow( CONSTANTS[14]*pow(1.00000+ CONSTANTS[15]*CONSTANTS[17]*STATES[4], 4.00000)+pow(1.00000+ CONSTANTS[16]*CONSTANTS[17]*STATES[4], 4.00000), 2.00000); ALGEBRAIC[5] = STATES[3]*(STATES[1] - CONSTANTS[9]); ALGEBRAIC[1] = (( - CONSTANTS[23]*pow(CONSTANTS[1], 2.00000)*CONSTANTS[2])/( 2.00000*1.00000))*cos(( CONSTANTS[1]*VOI)/1.00000) - CONSTANTS[3]*(2.50000 - (CONSTANTS[2]/2.00000)* sin(( CONSTANTS[1]*VOI)/1.00000)); ALGEBRAIC[3] = (CONSTANTS[4] - STATES[1])/CONSTANTS[6]; ALGEBRAIC[4] = STATES[2]*(STATES[1] - CONSTANTS[9]); ALGEBRAIC[6] = ALGEBRAIC[3]+ 1.00000*CONSTANTS[8]*(STATES[5] - ALGEBRAIC[5])+ 1.00000*CONSTANTS[7]*(STATES[4] - ALGEBRAIC[4]); ALGEBRAIC[7] = (CONSTANTS[13]>=CONSTANTS[12] ? ( STATES[2]*CONSTANTS[12]+ CONSTANTS[10]*(CONSTANTS[13] - CONSTANTS[12]))/CONSTANTS[13] : STATES[2]); ALGEBRAIC[8] = (CONSTANTS[13]>=CONSTANTS[12] ? ( STATES[3]*CONSTANTS[12]+ CONSTANTS[11]*(CONSTANTS[13] - CONSTANTS[12]))/CONSTANTS[13] : STATES[3]); }