/* There are a total of 19 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 42 entries in the constant variable array. */ /* * VOI is time in component environment (s). * STATES[0] is F6P in component F6P (mM). * ALGEBRAIC[0] is V_hk in component V_hk (mM_per_s). * ALGEBRAIC[12] is V_pfk in component V_pfk (mM_per_s). * ALGEBRAIC[18] is V_pfk2 in component V_pfk2 (mM_per_s). * STATES[1] is F26P in component F26P (mM). * STATES[2] is GAP in component GAP (mM). * ALGEBRAIC[10] is V_pk in component V_pk (mM_per_s). * STATES[3] is PYR in component PYR (mM). * ALGEBRAIC[1] is V_ldh in component V_ldh (mM_per_s). * ALGEBRAIC[5] is V_op in component V_op (mM_per_s). * STATES[4] is LAC in component LAC (mM). * ALGEBRAIC[16] is V_lac in component V_lac (mM_per_s). * STATES[5] is ATP in component ATP (mM). * ALGEBRAIC[15] is V_ATPase in component V_ATPase (mM_per_s). * ALGEBRAIC[6] is V_ck in component V_ck (mM_per_s). * ALGEBRAIC[7] is dAMP_dATP in component dAMP_dATP (dimensionless). * STATES[6] is PCr in component PCr (mM). * CONSTANTS[0] is Vmax_hk in component V_hk (mM_per_s). * CONSTANTS[1] is Km_ATP_hk in component V_hk (mM). * CONSTANTS[2] is KI_F6P in component V_hk (mM). * CONSTANTS[3] is Vmax_pfk in component V_pfk (mM_per_s). * CONSTANTS[4] is Km_ATP_pfk in component V_pfk (mM). * CONSTANTS[5] is Km_F6P_pfk in component V_pfk (mM). * CONSTANTS[6] is Km_F26P_pfk in component V_pfk (mM). * ALGEBRAIC[11] is AMP_act in component AMP_act (dimensionless). * ALGEBRAIC[9] is ATP_inh in component ATP_inh (dimensionless). * CONSTANTS[7] is Vmaxf_pfk2 in component V_pfk2 (mM_per_s). * CONSTANTS[8] is Vmaxr_pfk2 in component V_pfk2 (mM_per_s). * CONSTANTS[9] is Km_ATP_pfk2 in component V_pfk2 (mM). * CONSTANTS[10] is Km_F6P_pfk2 in component V_pfk2 (mM). * CONSTANTS[11] is Km_F26P_pfk2 in component V_pfk2 (mM). * ALGEBRAIC[17] is AMP_pfk2 in component AMP_pfk2 (dimensionless). * CONSTANTS[12] is Vmax_pk in component V_pk (mM_per_s). * CONSTANTS[13] is Km_ADP_pk in component V_pk (mM). * CONSTANTS[14] is Km_GAP_pk in component V_pk (mM). * ALGEBRAIC[4] is ADP in component ADP (mM). * CONSTANTS[15] is Vmax_op in component V_op (mM_per_s). * CONSTANTS[16] is Km_ADP_op in component V_op (mM). * CONSTANTS[17] is Km_PYR_op in component V_op (mM). * CONSTANTS[18] is kf_ldh in component V_ldh (per_s). * CONSTANTS[19] is kr_ldh in component V_ldh (per_s). * CONSTANTS[20] is kf_ck in component V_ck (per_mM_s). * CONSTANTS[21] is kr_ck in component V_ck (per_mM_s). * ALGEBRAIC[2] is Cr in component Cr (mM). * CONSTANTS[22] is PCrtot in component Cr (mM). * CONSTANTS[23] is Vmax_ATPase in component V_ATPase (mM_per_s). * CONSTANTS[24] is Km_ATP in component V_ATPase (mM). * ALGEBRAIC[14] is v_stim in component v_stim (dimensionless). * CONSTANTS[25] is Vlac_0 in component V_lac (mM_per_s). * CONSTANTS[26] is K_LAC_eff in component V_lac (per_s). * CONSTANTS[27] is K_LAC in component V_lac (dimensionless). * ALGEBRAIC[3] is u in component ADP (dimensionless). * CONSTANTS[28] is ANP in component model_parameters (mM). * CONSTANTS[29] is Q_adk in component model_parameters (dimensionless). * ALGEBRAIC[8] is AMP in component AMP (mM). * CONSTANTS[30] is nATP in component ATP_inh (dimensionless). * CONSTANTS[31] is KI_ATP in component ATP_inh (mM). * CONSTANTS[32] is nAMP in component AMP_act (dimensionless). * CONSTANTS[33] is Ka_AMP in component AMP_act (mM). * ALGEBRAIC[13] is unitpulseSB in component v_stim (dimensionless). * CONSTANTS[34] is stim in component v_stim (dimensionless). * CONSTANTS[35] is to in component v_stim (s). * CONSTANTS[36] is tend in component v_stim (s). * CONSTANTS[37] is v1_n in component v_stim (dimensionless). * CONSTANTS[38] is v2_n in component v_stim (dimensionless). * CONSTANTS[39] is t_n_stim in component v_stim (s). * CONSTANTS[40] is Kamp_pfk2 in component AMP_pfk2 (mM). * CONSTANTS[41] is nh_amp in component AMP_pfk2 (dimensionless). * RATES[0] is d/dt F6P in component F6P (mM). * RATES[1] is d/dt F26P in component F26P (mM). * RATES[2] is d/dt GAP in component GAP (mM). * RATES[3] is d/dt PYR in component PYR (mM). * RATES[4] is d/dt LAC in component LAC (mM). * RATES[5] is d/dt ATP in component ATP (mM). * RATES[6] is d/dt PCr in component PCr (mM). */ void initConsts(double* CONSTANTS, double* RATES, double *STATES) { STATES[0] = 0.2; STATES[1] = 0.001; STATES[2] = 0.0405; STATES[3] = 0.1; STATES[4] = 0.5; STATES[5] = 2.402; STATES[6] = 18.14; CONSTANTS[0] = 2.5; CONSTANTS[1] = 0.5; CONSTANTS[2] = 0.068; CONSTANTS[3] = 3.85; CONSTANTS[4] = 0.05; CONSTANTS[5] = 0.18; CONSTANTS[6] = 0.01; CONSTANTS[7] = 0; CONSTANTS[8] = 0; CONSTANTS[9] = 0.05; CONSTANTS[10] = 0.01; CONSTANTS[11] = 0.0001; CONSTANTS[12] = 5.0; CONSTANTS[13] = 0.005; CONSTANTS[14] = 0.4; CONSTANTS[15] = 1.0; CONSTANTS[16] = 0.005; CONSTANTS[17] = 0.5; CONSTANTS[18] = 0; CONSTANTS[19] = 0; CONSTANTS[20] = 0; CONSTANTS[21] = 0; CONSTANTS[22] = 20.0; CONSTANTS[23] = 0.9355; CONSTANTS[24] = 0.5; CONSTANTS[25] = 0.355; CONSTANTS[26] = 0.71; CONSTANTS[27] = 0.641; CONSTANTS[28] = 2.51; CONSTANTS[29] = 0.92; CONSTANTS[30] = 0.4; CONSTANTS[31] = 1.0; CONSTANTS[32] = 0.5; CONSTANTS[33] = 0.05; CONSTANTS[34] = 1; CONSTANTS[35] = 50; CONSTANTS[36] = 200; CONSTANTS[37] = 0.5; CONSTANTS[38] = 0.0; CONSTANTS[39] = 2; CONSTANTS[40] = 0.005; CONSTANTS[41] = 2; } void computeRates(double VOI, double* CONSTANTS, double* RATES, double* STATES, double* ALGEBRAIC) { ALGEBRAIC[3] = pow(CONSTANTS[29], 2.00000)+ 4.00000*CONSTANTS[29]*(CONSTANTS[28]/STATES[5] - 1.00000); ALGEBRAIC[4] = (STATES[5]/2.00000)*(- CONSTANTS[29]+ pow(ALGEBRAIC[3], 1.0 / 2)); ALGEBRAIC[2] = CONSTANTS[22] - STATES[6]; ALGEBRAIC[6] = CONSTANTS[20]*STATES[6]*ALGEBRAIC[4] - CONSTANTS[21]*ALGEBRAIC[2]*STATES[5]; RATES[6] = - ALGEBRAIC[6]; ALGEBRAIC[9] = pow((1.00000+ CONSTANTS[30]*(STATES[5]/CONSTANTS[31]))/(1.00000+STATES[5]/CONSTANTS[31]), 4.00000); ALGEBRAIC[10] = CONSTANTS[12]*(STATES[2]/(STATES[2]+CONSTANTS[14]))*(ALGEBRAIC[4]/(ALGEBRAIC[4]+CONSTANTS[13]))*ALGEBRAIC[9]; ALGEBRAIC[1] = CONSTANTS[18]*STATES[3] - CONSTANTS[19]*STATES[4]; ALGEBRAIC[5] = CONSTANTS[15]*(STATES[3]/(STATES[3]+CONSTANTS[17]))*(ALGEBRAIC[4]/(ALGEBRAIC[4]+CONSTANTS[16]))*(1.00000/(1.00000+ 0.100000*24.0000)); RATES[3] = ALGEBRAIC[10] - (ALGEBRAIC[5]+ALGEBRAIC[1]); ALGEBRAIC[8] = CONSTANTS[28] - (STATES[5]+ALGEBRAIC[4]); ALGEBRAIC[11] = pow((1.00000+ALGEBRAIC[8]/CONSTANTS[33])/(1.00000+ CONSTANTS[32]*(ALGEBRAIC[8]/CONSTANTS[33])), 4.00000); ALGEBRAIC[12] = CONSTANTS[3]*(STATES[0]/(STATES[0]+CONSTANTS[5]))*(STATES[5]/(STATES[5]+CONSTANTS[4]))*(STATES[1]/(STATES[1]+CONSTANTS[6]))*ALGEBRAIC[9]*ALGEBRAIC[11]; RATES[2] = 2.00000*ALGEBRAIC[12] - ALGEBRAIC[10]; ALGEBRAIC[13] = (VOI>=CONSTANTS[35]&&VOI<=CONSTANTS[35]+CONSTANTS[36] ? 1.00000 : 0.00000); ALGEBRAIC[14] = CONSTANTS[34]*(CONSTANTS[37]+ CONSTANTS[38]*((VOI - CONSTANTS[35])/CONSTANTS[39])*exp(- ( (VOI - CONSTANTS[35])*(ALGEBRAIC[13]/CONSTANTS[39]))))*ALGEBRAIC[13]; ALGEBRAIC[16] = CONSTANTS[25]*(1.00000+ ALGEBRAIC[14]*CONSTANTS[27]) - CONSTANTS[26]*STATES[4]; RATES[4] = 2.25000*ALGEBRAIC[1]+ALGEBRAIC[16]; ALGEBRAIC[0] = CONSTANTS[0]*(STATES[5]/(STATES[5]+CONSTANTS[1]))*pow(1.00000+pow(STATES[0]/CONSTANTS[2], 4.00000), -1.00000); ALGEBRAIC[17] = pow(ALGEBRAIC[8]/CONSTANTS[40], CONSTANTS[41])/(1.00000+pow(ALGEBRAIC[8]/CONSTANTS[40], CONSTANTS[41])); ALGEBRAIC[18] = CONSTANTS[7]*(STATES[5]/(STATES[5]+CONSTANTS[9]))*(STATES[0]/(STATES[0]+CONSTANTS[10]))*ALGEBRAIC[17] - CONSTANTS[8]*(STATES[1]/(STATES[1]+CONSTANTS[11])); RATES[0] = ALGEBRAIC[0] - (ALGEBRAIC[12] - ALGEBRAIC[18]); RATES[1] = ALGEBRAIC[18]; ALGEBRAIC[15] = CONSTANTS[23]*(STATES[5]/(STATES[5]+CONSTANTS[24]))*(1.00000+ALGEBRAIC[14]); ALGEBRAIC[7] = - 1.00000+CONSTANTS[29]/2.00000+- ( 0.500000* pow(ALGEBRAIC[3], 1.0 / 2))+ CONSTANTS[29]*(CONSTANTS[28]/( STATES[5]* pow(ALGEBRAIC[3], 1.0 / 2))); RATES[5] = (( 2.00000*ALGEBRAIC[10]+ 15.0000*ALGEBRAIC[5]+ALGEBRAIC[6]) - (ALGEBRAIC[0]+ALGEBRAIC[12]+ALGEBRAIC[18]+ALGEBRAIC[15]))*pow(1.00000 - ALGEBRAIC[7], -1.00000); } void computeVariables(double VOI, double* CONSTANTS, double* RATES, double* STATES, double* ALGEBRAIC) { ALGEBRAIC[3] = pow(CONSTANTS[29], 2.00000)+ 4.00000*CONSTANTS[29]*(CONSTANTS[28]/STATES[5] - 1.00000); ALGEBRAIC[4] = (STATES[5]/2.00000)*(- CONSTANTS[29]+ pow(ALGEBRAIC[3], 1.0 / 2)); ALGEBRAIC[2] = CONSTANTS[22] - STATES[6]; ALGEBRAIC[6] = CONSTANTS[20]*STATES[6]*ALGEBRAIC[4] - CONSTANTS[21]*ALGEBRAIC[2]*STATES[5]; ALGEBRAIC[9] = pow((1.00000+ CONSTANTS[30]*(STATES[5]/CONSTANTS[31]))/(1.00000+STATES[5]/CONSTANTS[31]), 4.00000); ALGEBRAIC[10] = CONSTANTS[12]*(STATES[2]/(STATES[2]+CONSTANTS[14]))*(ALGEBRAIC[4]/(ALGEBRAIC[4]+CONSTANTS[13]))*ALGEBRAIC[9]; ALGEBRAIC[1] = CONSTANTS[18]*STATES[3] - CONSTANTS[19]*STATES[4]; ALGEBRAIC[5] = CONSTANTS[15]*(STATES[3]/(STATES[3]+CONSTANTS[17]))*(ALGEBRAIC[4]/(ALGEBRAIC[4]+CONSTANTS[16]))*(1.00000/(1.00000+ 0.100000*24.0000)); ALGEBRAIC[8] = CONSTANTS[28] - (STATES[5]+ALGEBRAIC[4]); ALGEBRAIC[11] = pow((1.00000+ALGEBRAIC[8]/CONSTANTS[33])/(1.00000+ CONSTANTS[32]*(ALGEBRAIC[8]/CONSTANTS[33])), 4.00000); ALGEBRAIC[12] = CONSTANTS[3]*(STATES[0]/(STATES[0]+CONSTANTS[5]))*(STATES[5]/(STATES[5]+CONSTANTS[4]))*(STATES[1]/(STATES[1]+CONSTANTS[6]))*ALGEBRAIC[9]*ALGEBRAIC[11]; ALGEBRAIC[13] = (VOI>=CONSTANTS[35]&&VOI<=CONSTANTS[35]+CONSTANTS[36] ? 1.00000 : 0.00000); ALGEBRAIC[14] = CONSTANTS[34]*(CONSTANTS[37]+ CONSTANTS[38]*((VOI - CONSTANTS[35])/CONSTANTS[39])*exp(- ( (VOI - CONSTANTS[35])*(ALGEBRAIC[13]/CONSTANTS[39]))))*ALGEBRAIC[13]; ALGEBRAIC[16] = CONSTANTS[25]*(1.00000+ ALGEBRAIC[14]*CONSTANTS[27]) - CONSTANTS[26]*STATES[4]; ALGEBRAIC[0] = CONSTANTS[0]*(STATES[5]/(STATES[5]+CONSTANTS[1]))*pow(1.00000+pow(STATES[0]/CONSTANTS[2], 4.00000), -1.00000); ALGEBRAIC[17] = pow(ALGEBRAIC[8]/CONSTANTS[40], CONSTANTS[41])/(1.00000+pow(ALGEBRAIC[8]/CONSTANTS[40], CONSTANTS[41])); ALGEBRAIC[18] = CONSTANTS[7]*(STATES[5]/(STATES[5]+CONSTANTS[9]))*(STATES[0]/(STATES[0]+CONSTANTS[10]))*ALGEBRAIC[17] - CONSTANTS[8]*(STATES[1]/(STATES[1]+CONSTANTS[11])); ALGEBRAIC[15] = CONSTANTS[23]*(STATES[5]/(STATES[5]+CONSTANTS[24]))*(1.00000+ALGEBRAIC[14]); ALGEBRAIC[7] = - 1.00000+CONSTANTS[29]/2.00000+- ( 0.500000* pow(ALGEBRAIC[3], 1.0 / 2))+ CONSTANTS[29]*(CONSTANTS[28]/( STATES[5]* pow(ALGEBRAIC[3], 1.0 / 2))); }