/* There are a total of 11 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 14 entries in the constant variable array. */ /* * VOI is time in component environment (minute). * STATES[0] is S1 in component S1 (millimolar). * CONSTANTS[0] is Jo in component glucose_influx_rate (flux). * ALGEBRAIC[3] is v1 in component v1 (flux). * STATES[1] is S2 in component S2 (millimolar). * ALGEBRAIC[4] is v2 in component v2 (flux). * ALGEBRAIC[8] is v6 in component v6 (flux). * STATES[2] is S3 in component S3 (millimolar). * ALGEBRAIC[5] is v3 in component v3 (flux). * STATES[3] is S4 in component S4 (millimolar). * ALGEBRAIC[6] is v4 in component v4 (flux). * ALGEBRAIC[10] is J in component S4_flux_rate_across_the_plasma_membrane (flux). * STATES[4] is S4_ex in component S4_ex (millimolar). * CONSTANTS[1] is phi in component S4_ex (dimensionless). * ALGEBRAIC[9] is v7 in component v7 (flux). * STATES[5] is A3 in component A3 (millimolar). * ALGEBRAIC[7] is v5 in component v5 (flux). * CONSTANTS[2] is A in component A2 (millimolar). * ALGEBRAIC[0] is A2 in component A2 (millimolar). * STATES[6] is N2 in component N2 (millimolar). * CONSTANTS[3] is N in component N1 (millimolar). * ALGEBRAIC[1] is N1 in component N1 (millimolar). * CONSTANTS[4] is K_I in component v1 (millimolar). * CONSTANTS[5] is k_1 in component v1 (second_order_rate_constant). * CONSTANTS[6] is q in component v1 (dimensionless). * ALGEBRAIC[2] is f_A3 in component v1 (dimensionless). * CONSTANTS[7] is k_2 in component v2 (second_order_rate_constant). * CONSTANTS[8] is k_3 in component v3 (second_order_rate_constant). * CONSTANTS[9] is k_4 in component v4 (second_order_rate_constant). * CONSTANTS[10] is k_5 in component v5 (first_order_rate_constant). * CONSTANTS[11] is k_6 in component v6 (second_order_rate_constant). * CONSTANTS[12] is k in component v7 (first_order_rate_constant). * CONSTANTS[13] is kappa in component S4_flux_rate_across_the_plasma_membrane (first_order_rate_constant). * RATES[0] is d/dt S1 in component S1 (millimolar). * RATES[1] is d/dt S2 in component S2 (millimolar). * RATES[2] is d/dt S3 in component S3 (millimolar). * RATES[3] is d/dt S4 in component S4 (millimolar). * RATES[4] is d/dt S4_ex in component S4_ex (millimolar). * RATES[5] is d/dt A3 in component A3 (millimolar). * RATES[6] is d/dt N2 in component N2 (millimolar). */ void initConsts(double* CONSTANTS, double* RATES, double *STATES) { STATES[0] = 5.8; CONSTANTS[0] = 3.0; STATES[1] = 0.9; STATES[2] = 0.2; STATES[3] = 0.2; STATES[4] = 0.1; CONSTANTS[1] = 0.1; STATES[5] = 2.4; CONSTANTS[2] = 4.0; STATES[6] = 0.1; CONSTANTS[3] = 1.0; CONSTANTS[4] = 0.52; CONSTANTS[5] = 100.0; CONSTANTS[6] = 4.0; CONSTANTS[7] = 6.0; CONSTANTS[8] = 16.0; CONSTANTS[9] = 100.0; CONSTANTS[10] = 1.28; CONSTANTS[11] = 12.0; CONSTANTS[12] = 1.3; CONSTANTS[13] = 13.0; } void computeRates(double VOI, double* CONSTANTS, double* RATES, double* STATES, double* ALGEBRAIC) { ALGEBRAIC[2] = pow(1.00000+pow(STATES[5]/CONSTANTS[4], CONSTANTS[6]), -1.00000); ALGEBRAIC[3] = CONSTANTS[5]*STATES[0]*STATES[5]*ALGEBRAIC[2]; RATES[0] = CONSTANTS[0] - ALGEBRAIC[3]; ALGEBRAIC[1] = CONSTANTS[3] - STATES[6]; ALGEBRAIC[4] = CONSTANTS[7]*STATES[1]*ALGEBRAIC[1]; ALGEBRAIC[0] = CONSTANTS[2] - STATES[5]; ALGEBRAIC[5] = CONSTANTS[8]*STATES[2]*ALGEBRAIC[0]; RATES[2] = ALGEBRAIC[4] - ALGEBRAIC[5]; ALGEBRAIC[7] = CONSTANTS[10]*STATES[5]; RATES[5] = 2.00000*ALGEBRAIC[5] - ( 2.00000*ALGEBRAIC[3]+ALGEBRAIC[7]); ALGEBRAIC[8] = CONSTANTS[11]*STATES[1]*STATES[6]; RATES[1] = 2.00000*ALGEBRAIC[3] - (ALGEBRAIC[4]+ALGEBRAIC[8]); ALGEBRAIC[6] = CONSTANTS[9]*STATES[3]*STATES[6]; RATES[6] = ALGEBRAIC[4] - (ALGEBRAIC[6]+ALGEBRAIC[8]); ALGEBRAIC[10] = CONSTANTS[13]*(STATES[3] - STATES[4]); RATES[3] = ALGEBRAIC[5] - (ALGEBRAIC[6]+ALGEBRAIC[10]); ALGEBRAIC[9] = CONSTANTS[12]*STATES[4]; RATES[4] = CONSTANTS[1]*ALGEBRAIC[10] - ALGEBRAIC[9]; } void computeVariables(double VOI, double* CONSTANTS, double* RATES, double* STATES, double* ALGEBRAIC) { ALGEBRAIC[2] = pow(1.00000+pow(STATES[5]/CONSTANTS[4], CONSTANTS[6]), -1.00000); ALGEBRAIC[3] = CONSTANTS[5]*STATES[0]*STATES[5]*ALGEBRAIC[2]; ALGEBRAIC[1] = CONSTANTS[3] - STATES[6]; ALGEBRAIC[4] = CONSTANTS[7]*STATES[1]*ALGEBRAIC[1]; ALGEBRAIC[0] = CONSTANTS[2] - STATES[5]; ALGEBRAIC[5] = CONSTANTS[8]*STATES[2]*ALGEBRAIC[0]; ALGEBRAIC[7] = CONSTANTS[10]*STATES[5]; ALGEBRAIC[8] = CONSTANTS[11]*STATES[1]*STATES[6]; ALGEBRAIC[6] = CONSTANTS[9]*STATES[3]*STATES[6]; ALGEBRAIC[10] = CONSTANTS[13]*(STATES[3] - STATES[4]); ALGEBRAIC[9] = CONSTANTS[12]*STATES[4]; }