/* There are a total of 8 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 21 entries in the constant variable array. */ /* * VOI is time in component environment (min). * CONSTANTS[0] is Vp in component environment (l). * CONSTANTS[1] is Vi in component environment (l). * CONSTANTS[2] is Vg in component environment (l). * CONSTANTS[3] is E in component environment (l_per_min). * STATES[0] is Ip in component plasma_insulin (mU). * ALGEBRAIC[0] is Ip_conc in component plasma_insulin (mU_per_l). * CONSTANTS[4] is tp in component plasma_insulin (min). * ALGEBRAIC[1] is f1_G in component plasma_insulin (mU_per_min). * CONSTANTS[5] is Rm in component plasma_insulin (mU_per_min). * CONSTANTS[6] is C1 in component plasma_insulin (mg_per_l). * CONSTANTS[7] is a1 in component plasma_insulin (mg_per_l). * STATES[1] is Ii in component intercellular_insulin (mU). * STATES[2] is G in component glucose (mg). * ALGEBRAIC[2] is Ii_conc in component intercellular_insulin (mU_per_l). * CONSTANTS[8] is ti in component intercellular_insulin (min). * ALGEBRAIC[3] is G_conc in component glucose (mg_per_dl). * CONSTANTS[9] is Gin in component glucose (mg_per_min). * ALGEBRAIC[4] is f2_G in component glucose (mg_per_min). * ALGEBRAIC[5] is f3_G in component glucose (dimensionless). * ALGEBRAIC[6] is f4_Ii in component glucose (mg_per_min). * ALGEBRAIC[7] is f5_x3 in component glucose (mg_per_min). * CONSTANTS[10] is C2 in component glucose (mg_per_l). * CONSTANTS[11] is C3 in component glucose (mg_per_l). * CONSTANTS[12] is C4 in component glucose (mU_per_l). * CONSTANTS[13] is C5 in component glucose (mU_per_l). * CONSTANTS[14] is U0 in component glucose (mg_per_min). * CONSTANTS[15] is Um in component glucose (mg_per_min). * CONSTANTS[16] is Ub in component glucose (mg_per_min). * CONSTANTS[17] is beta in component glucose (dimensionless). * CONSTANTS[18] is Rg in component glucose (mg_per_min). * CONSTANTS[19] is alpha in component glucose (l_per_mU). * STATES[3] is x3 in component delay (min). * CONSTANTS[20] is td in component delay (min). * STATES[4] is x1 in component delay (min). * STATES[5] is x2 in component delay (min). * RATES[0] is d/dt Ip in component plasma_insulin (mU). * RATES[1] is d/dt Ii in component intercellular_insulin (mU). * RATES[2] is d/dt G in component glucose (mg). * RATES[4] is d/dt x1 in component delay (min). * RATES[5] is d/dt x2 in component delay (min). * RATES[3] is d/dt x3 in component delay (min). */ void initConsts(double* CONSTANTS, double* RATES, double *STATES) { CONSTANTS[0] = 3; CONSTANTS[1] = 11; CONSTANTS[2] = 10; CONSTANTS[3] = 0.2; STATES[0] = 93.36441699; CONSTANTS[4] = 6; CONSTANTS[5] = 210; CONSTANTS[6] = 2000; CONSTANTS[7] = 300; STATES[1] = 243.2865183; STATES[2] = 12342.61665; CONSTANTS[8] = 100; CONSTANTS[9] = 216; CONSTANTS[10] = 144; CONSTANTS[11] = 1000; CONSTANTS[12] = 80; CONSTANTS[13] = 26; CONSTANTS[14] = 40; CONSTANTS[15] = 940; CONSTANTS[16] = 72; CONSTANTS[17] = 1.77; CONSTANTS[18] = 180; CONSTANTS[19] = 0.29; STATES[3] = 104.5878705; CONSTANTS[20] = 36; STATES[4] = 110.420253; STATES[5] = 112.7601171; } void computeRates(double VOI, double* CONSTANTS, double* RATES, double* STATES, double* ALGEBRAIC) { RATES[1] = CONSTANTS[3]*(STATES[0]/CONSTANTS[0] - STATES[1]/CONSTANTS[1]) - STATES[1]/CONSTANTS[8]; RATES[4] = (3.00000/CONSTANTS[20])*(STATES[0]/1.00000 - STATES[4]); RATES[5] = (3.00000/CONSTANTS[20])*(STATES[4] - STATES[5]); RATES[3] = (3.00000/CONSTANTS[20])*(STATES[5] - STATES[3]); ALGEBRAIC[1] = CONSTANTS[5]/(1.00000+exp((CONSTANTS[6] - STATES[2]/CONSTANTS[2])/CONSTANTS[7])); RATES[0] = ALGEBRAIC[1] - ( CONSTANTS[3]*(STATES[0]/CONSTANTS[0] - STATES[1]/CONSTANTS[1])+STATES[0]/CONSTANTS[4]); ALGEBRAIC[4] = CONSTANTS[16]*(1.00000 - exp(- STATES[2]/( CONSTANTS[10]*CONSTANTS[2]))); ALGEBRAIC[5] = STATES[2]/( CONSTANTS[11]*CONSTANTS[2]); ALGEBRAIC[6] = CONSTANTS[14]+(CONSTANTS[15] - CONSTANTS[14])/(1.00000+exp( - CONSTANTS[17]*log( (STATES[1]/CONSTANTS[12])*(1.00000/CONSTANTS[1]+1.00000/( CONSTANTS[3]*CONSTANTS[8]))))); ALGEBRAIC[7] = CONSTANTS[18]/(1.00000+exp( CONSTANTS[19]*(( STATES[3]*1.00000)/CONSTANTS[0] - CONSTANTS[13]))); RATES[2] = CONSTANTS[9]+ALGEBRAIC[7]+- (ALGEBRAIC[4]+ ALGEBRAIC[5]*ALGEBRAIC[6]); } void computeVariables(double VOI, double* CONSTANTS, double* RATES, double* STATES, double* ALGEBRAIC) { ALGEBRAIC[1] = CONSTANTS[5]/(1.00000+exp((CONSTANTS[6] - STATES[2]/CONSTANTS[2])/CONSTANTS[7])); ALGEBRAIC[4] = CONSTANTS[16]*(1.00000 - exp(- STATES[2]/( CONSTANTS[10]*CONSTANTS[2]))); ALGEBRAIC[5] = STATES[2]/( CONSTANTS[11]*CONSTANTS[2]); ALGEBRAIC[6] = CONSTANTS[14]+(CONSTANTS[15] - CONSTANTS[14])/(1.00000+exp( - CONSTANTS[17]*log( (STATES[1]/CONSTANTS[12])*(1.00000/CONSTANTS[1]+1.00000/( CONSTANTS[3]*CONSTANTS[8]))))); ALGEBRAIC[7] = CONSTANTS[18]/(1.00000+exp( CONSTANTS[19]*(( STATES[3]*1.00000)/CONSTANTS[0] - CONSTANTS[13]))); ALGEBRAIC[0] = STATES[0]/CONSTANTS[0]; ALGEBRAIC[2] = STATES[1]/CONSTANTS[1]; ALGEBRAIC[3] = STATES[2]/( CONSTANTS[2]*10.0000); }