[ccc, fcc
] = max_entropy_functions.conc_flux_control_coeff(nvar, A, S_mat,
rxn_flux, RR)
if (React_Choice == -1) or (np.max(delta_S_metab) <= 0):
print("FINISHED OPTIMIZING")
break
if (np.max(rxn_flux) < 1):
print("FLUX ZEROING")
break
React_Choice = max_entropy_functions.get_enzyme2regulate(
ipolicy, delta_S_metab, delta_S, ccc, KQ_f, E_regulation, v_log_counts)
newE = max_entropy_functions.calc_reg_E_step(E_regulation, React_Choice,
nvar, v_log_counts,
f_log_counts,
target_v_log_counts, S_mat, A,
rxn_flux, KQ_f, delta_S_metab)
#Warning: We must set pfk and pfk_3 to the same value since the
E_regulation[React_Choice] = newE
i += 1
delta_S_metab1 = delta_S_metab
opt_concs1 = v_log_counts
E_reg1 = E_regulation
def run(argv):
try:
os.makedirs(cwd+'/TCA_PPP_GLYCOLYSIS_CELLWALL/data')
except FileExistsError:
# directory already exists
pass
try:
os.makedirs(cwd+'/TCA_PPP_GLYCOLYSIS_CELLWALL/models_final_data')
except FileExistsError:
# directory already exists
pass
#default values
#If no experimental data is available, we can estimate using 'rule-of-thumb' data at 0.001
use_experimental_data=False
learning_rate=1e-8 #3rd
epsilon=0.05 #4th
eps_threshold=25 #5th
gamma = 0.9 #6th
updates = 500
penalty_reward_scalar=0.0
#load input
total = len(sys.argv)
cmdargs = str(sys.argv)
print ("The total numbers of args passed to the script: %d " % total)
print ("Args list: %s " % cmdargs)
print ("Script name: %s" % str(sys.argv[0]))
for i in range(total):
print ("Argument # %d : %s" % (i, str(sys.argv[i])))
sim_number=int(sys.argv[1])
n_back_step=int(sys.argv[2])
if (total > 3):
use_experimental_data=bool(int(sys.argv[3]))
if (total > 4):
learning_rate=float(sys.argv[4])
if (total > 5):
epsilon=float(sys.argv[5])
if (total > 6):
eps_threshold=float(sys.argv[6])
if (total > 7):
gamma=float(sys.argv[7])
pd.set_option('display.max_columns', None,'display.max_rows', None)
print("sim")
print(sim_number)
print("n_back_step")
print(n_back_step)
print("using experimental metabolite data")
print(use_experimental_data)
print("learning_rate")
print(learning_rate)
print("epsilon")
print(epsilon)
print("eps_threshold")
print(eps_threshold)
print("gamma")
print(gamma)
T = 298.15
R = 8.314e-03
RT = R*T
N_avogadro = 6.022140857e+23
VolCell = 1.0e-15
Concentration2Count = N_avogadro * VolCell
concentration_increment = 1/(N_avogadro*VolCell)
np.set_printoptions(suppress=True)#turn off printin
# In[3]:
#with open( cwd + '/TCA_PPP_GLYCOLYSIS_CELLWALL/TCA_PPP_Glycolysis_CellWall3b.dat', 'r') as f:
# print(f.read())
# In[5]:
fdat = open(cwd + '/TCA_PPP_GLYCOLYSIS_CELLWALL/TCA_PPP_Glycolysis_CellWall3b.dat', 'r')
#fdat = open('TCA_PPP_Glycolysis.dat', 'r')
left ='LEFT'
right = 'RIGHT'
left_compartment = 'LEFT_COMPARTMENT'
right_compartment = 'RIGHT_COMPARTMENT'
enzyme_level = 'ENZYME_LEVEL'
deltag0 = 'DGZERO'
deltag0_sigma = 'DGZERO StdDev'
same_compartment = 'Same Compartment?'
full_rxn = 'Full Rxn'
reactions = pd.DataFrame(index=[],columns=[left, right, left_compartment, right_compartment, enzyme_level, deltag0, deltag0_sigma, same_compartment,full_rxn])
reactions.index.name='REACTION'
S_matrix = pd.DataFrame(index=[],columns=[enzyme_level])
S_matrix.index.name='REACTION'
for line in fdat:
if (line.startswith('REACTION')):
rxn_name = line[9:-1].lstrip()
S_matrix.loc[rxn_name,enzyme_level] = 1.0
reactions.loc[rxn_name,enzyme_level] = 1.0
if (re.match("^LEFT\s",line)):
line = line.upper()
left_rxn = line[4:-1].lstrip()
left_rxn = re.sub(r'\s+$', '', left_rxn) #Remove trailing white space
reactions.loc[rxn_name,left] = left_rxn
elif (re.match('^RIGHT\s',line)):
line = line.upper()
right_rxn = line[5:-1].lstrip()
right_rxn = re.sub(r'\s+$', '', right_rxn) #Remove trailing white space
reactions.loc[rxn_name,right] = right_rxn
elif (line.startswith(left_compartment)):
cpt_name = line[16:-1].lstrip()
reactions.loc[rxn_name,left_compartment] = cpt_name
reactants = re.split(' \+ ',left_rxn)
for idx in reactants:
values = re.split(' ', idx);
if len(values) == 2:
stoichiometry = np.float64(values[0]);
molecule = values[1];
if not re.search(':',molecule):
molecule = molecule + ':' + cpt_name
else:
stoichiometry = np.float64(-1.0);
molecule = values[0];
if not re.search(':',molecule):
molecule = molecule + ':' + cpt_name
S_matrix.loc[rxn_name,molecule] = stoichiometry;
elif (line.startswith(right_compartment)):
cpt_name = line[17:-1].lstrip()
reactions.loc[rxn_name,right_compartment] = cpt_name
products = re.split(' \+ ',right_rxn)
for idx in products:
values = re.split(' ', idx);
if len(values) == 2:
stoichiometry = np.float64(values[0]);
molecule = values[1];
if not re.search(':',molecule):
molecule = molecule + ':' + cpt_name
else:
stoichiometry = np.float64(1.0);
molecule = values[0];
if not re.search(':',molecule):
molecule = molecule + ':' + cpt_name
S_matrix.loc[rxn_name,molecule] = stoichiometry;
elif (re.match("^ENZYME_LEVEL\s", line)):
level = line[12:-1].lstrip()
reactions.loc[rxn_name,enzyme_level] = float(level)
S_matrix.loc[rxn_name,enzyme_level] = float(level)
elif re.match('^COMMENT',line):
continue
elif re.match(r'//',line):
continue
elif re.match('^#',line):
continue
# elif (re.match("^[N,P]REGULATION\s", line)):
# reg = line
# reactions.loc[rxn_name,regulation] = reg
fdat.close()
S_matrix.fillna(0,inplace=True)
S_active = S_matrix[S_matrix[enzyme_level] > 0.0]
active_reactions = reactions[reactions[enzyme_level] > 0.0]
del S_active[enzyme_level]
# Delete any columns/metabolites that have all zeros in the S matrix:
S_active = S_active.loc[:, (S_active != 0).any(axis=0)]
np.shape(S_active.values)
#print(S_active.shape)
#print(S_active)
reactions[full_rxn] = reactions[left] + ' = ' + reactions[right]
# In[6]:
if (1):
for idx in reactions.index:
#print(idx,flush=True)
boltzmann_rxn_str = reactions.loc[idx,'Full Rxn']
if re.search(':',boltzmann_rxn_str):
all_cmprts = re.findall(':\S+', boltzmann_rxn_str)
[s.replace(':', '') for s in all_cmprts] # remove all the ':'s
different_compartments = 0
for cmpt in all_cmprts:
if not re.match(all_cmprts[0],cmpt):
different_compartments = 1
if ((not different_compartments) and (reactions[left_compartment].isnull or reactions[right_compartment].isnull)):
reactions.loc[idx,left_compartment] = cmpt
reactions.loc[idx,right_compartment] = cmpt
reactions.loc[idx,same_compartment] = True
if different_compartments:
reactions.loc[idx,same_compartment] = False
else:
if (reactions.loc[idx,left_compartment] == reactions.loc[idx,right_compartment]):
reactions.loc[idx,same_compartment] = True
else:
reactions.loc[idx,same_compartment] = False
#print(reactions)
reactions.loc['CSm',deltag0] = -35.8057
reactions.loc['ACONTm',deltag0] = 7.62962
reactions.loc['ICDHxm',deltag0] = -2.6492
reactions.loc['AKGDam',deltag0] = -37.245
reactions.loc['SUCOASm',deltag0] = 2.01842
reactions.loc['SUCD1m',deltag0] = -379.579
reactions.loc['FUMm',deltag0] = -3.44728
reactions.loc['MDHm',deltag0] = 29.5419
reactions.loc['GAPD',deltag0] = 5.24202
reactions.loc['PGK',deltag0] = -18.5083
reactions.loc['TPI',deltag0] = 5.49798
reactions.loc['FBA',deltag0] = 21.4506
reactions.loc['PYK',deltag0] = -27.3548
reactions.loc['PGM',deltag0] = 4.17874
reactions.loc['ENO',deltag0] = -4.0817
reactions.loc['HEX1',deltag0] = -16.7776
reactions.loc['PGI',deltag0] = 2.52206
reactions.loc['PFK',deltag0] = -16.1049
reactions.loc['PYRt2m',deltag0] = -RT*np.log(10)
reactions.loc['PDHm',deltag0] = -44.1315
reactions.loc['G6PDH2r',deltag0] = -3.89329
reactions.loc['PGL',deltag0] = -22.0813
reactions.loc['GND',deltag0] = 2.32254
reactions.loc['RPE',deltag0] = -3.37
reactions.loc['RPI',deltag0] = -1.96367
reactions.loc['TKT2',deltag0] = -10.0342
reactions.loc['TALA',deltag0] = -0.729232
reactions.loc['FBA3',deltag0] = 13.9499
reactions.loc['PFK_3',deltag0] = -9.33337
reactions.loc['TKT1',deltag0] = -3.79303
reactions.loc['Glutamine-fructose-6-phosphate aminotransferase',deltag0] = -13.4054
reactions.loc['Glucosamine-6-phosphate N-acetyltransferase',deltag0] = -23.7065
reactions.loc['N-acetylglucosamine-phosphate mutase',deltag0] = 4.65558
reactions.loc['UDP N-acetylglucosamine pyrophosphorylase',deltag0] = 0.539147
reactions.loc['Hyaluronan Synthase',deltag0] = -14.4143
reactions.loc['Phosphoglucomutase',deltag0] = 7.41831
reactions.loc['UTP-glucose-1-phosphate uridylyltransferase',deltag0] = 1.51043
reactions.loc['1,3-beta-glucan synthase',deltag0] = -11.534
reactions.loc['Citrate-oxaloacetate exchange',deltag0] = 0
reactions.loc['CITRATE_LYASE',deltag0] = 10.0299
reactions.loc['MDHc',deltag0] = -29.5419
reactions.loc['MDH-NADPc',deltag0] = -29.7376
reactions.loc['ME1c',deltag0] = 4.56191
reactions.loc['ME2c',deltag0] = 4.75763
reactions.loc['Pyruvate Carboxylase',deltag0] = -0.795825
reactions.loc['Aldose 1-epimerase',deltag0] = 0
reactions.loc['HEX1a',deltag0] = -16.7776
reactions.loc['PGI-1',deltag0] = 2.52206
reactions.loc['CSm',deltag0_sigma] = 0.930552
reactions.loc['ACONTm',deltag0_sigma] = 0.733847
reactions.loc['ICDHxm',deltag0_sigma] = 7.62095
reactions.loc['AKGDam',deltag0_sigma] = 7.97121
reactions.loc['SUCOASm',deltag0_sigma] = 1.48197
reactions.loc['SUCD1m',deltag0_sigma] = 7.8098
reactions.loc['FUMm',deltag0_sigma] = 0.607693
reactions.loc['MDHm',deltag0_sigma] = 0.422376
reactions.loc['GAPD',deltag0_sigma] = 0.895659
reactions.loc['PGK',deltag0_sigma] = 0.889982
reactions.loc['TPI',deltag0_sigma] = 0.753116
reactions.loc['FBA',deltag0_sigma] = 0.87227
reactions.loc['PYK',deltag0_sigma] = 0.939774
reactions.loc['PGM',deltag0_sigma] = 0.65542
reactions.loc['ENO',deltag0_sigma] = 0.734193
reactions.loc['HEX1',deltag0_sigma] = 0.715237
reactions.loc['PGI',deltag0_sigma] = 0.596775
reactions.loc['PFK',deltag0_sigma] = 0.886629
reactions.loc['PYRt2m',deltag0_sigma] = 0
reactions.loc['PDHm',deltag0_sigma] = 7.66459
reactions.loc['G6PDH2r',deltag0_sigma] = 2.11855
reactions.loc['PGL',deltag0_sigma] = 2.62825
reactions.loc['GND',deltag0_sigma] = 7.60864
reactions.loc['RPE',deltag0_sigma] = 1.16485
reactions.loc['RPI',deltag0_sigma] = 1.16321
reactions.loc['TKT2',deltag0_sigma] = 2.08682
reactions.loc['TALA',deltag0_sigma] = 1.62106
reactions.loc['FBA3',deltag0_sigma] = 7.36854
reactions.loc['PFK_3',deltag0_sigma] = 7.3671
reactions.loc['TKT1',deltag0_sigma] = 2.16133
reactions.loc['Glutamine-fructose-6-phosphate aminotransferase',deltag0_sigma] = 3.08807
reactions.loc['Glucosamine-6-phosphate N-acetyltransferase',deltag0_sigma] = 4.26738
reactions.loc['N-acetylglucosamine-phosphate mutase',deltag0_sigma] = 3.06369
reactions.loc['UDP N-acetylglucosamine pyrophosphorylase',deltag0_sigma] = 3.12527
reactions.loc['Hyaluronan Synthase',deltag0_sigma] = 9.46851
reactions.loc['Phosphoglucomutase',deltag0_sigma] = 1.09029
reactions.loc['UTP-glucose-1-phosphate uridylyltransferase',deltag0_sigma] = 1.14644
reactions.loc['1,3-beta-glucan synthase',deltag0_sigma] = 7.80447
reactions.loc['Citrate-oxaloacetate exchange',deltag0_sigma] = 0
reactions.loc['CITRATE_LYASE',deltag0_sigma] = 0.928303
reactions.loc['MDHc',deltag0_sigma] = 0.422376
reactions.loc['MDH-NADPc',deltag0_sigma] = 0.531184
reactions.loc['ME1c',deltag0_sigma] = 7.60174
reactions.loc['ME2c',deltag0_sigma] = 7.61042
reactions.loc['Pyruvate Carboxylase',deltag0_sigma] = 7.60419
reactions.loc['Aldose 1-epimerase',deltag0_sigma] = 0
reactions.loc['HEX1a',deltag0_sigma] = 0.715237
reactions.loc['PGI-1',deltag0_sigma] = 0.596775
# ## Calculate Standard Free Energies of Reaction
# In[49]:
conc = 'Conc'
variable = 'Variable'
conc_exp = 'Conc_Experimental'
metabolites = pd.DataFrame(index = S_active.columns, columns=[conc,conc_exp,variable])
metabolites[conc] = 0.001
metabolites[variable] = True
# Set the fixed metabolites:
metabolites.loc['ATP:MITOCHONDRIA',conc] = 9.600000e-03
metabolites.loc['ATP:MITOCHONDRIA',variable] = False
metabolites.loc['ADP:MITOCHONDRIA',conc] = 5.600000e-04
metabolites.loc['ADP:MITOCHONDRIA',variable] = False
metabolites.loc['ORTHOPHOSPHATE:MITOCHONDRIA',conc] = 2.000000e-02
metabolites.loc['ORTHOPHOSPHATE:MITOCHONDRIA',variable] = False
metabolites.loc['ATP:CYTOSOL',conc] = 9.600000e-03
metabolites.loc['ATP:CYTOSOL',variable] = False
metabolites.loc['ADP:CYTOSOL',conc] = 5.600000e-04
metabolites.loc['ADP:CYTOSOL',variable] = False
metabolites.loc['ORTHOPHOSPHATE:CYTOSOL',conc] = 2.000000e-02
metabolites.loc['ORTHOPHOSPHATE:CYTOSOL',variable] = False
metabolites.loc['UTP:CYTOSOL',conc] = 9.600000e-03
metabolites.loc['UTP:CYTOSOL',variable] = False
metabolites.loc['UDP:CYTOSOL',conc] = 5.600000e-04
metabolites.loc['UDP:CYTOSOL',variable] = False
metabolites.loc['DIPHOSPHATE:CYTOSOL',conc] = 2.000000e-02
metabolites.loc['DIPHOSPHATE:CYTOSOL',variable] = False
metabolites.loc['NADH:MITOCHONDRIA',conc] = 8.300000e-05
metabolites.loc['NADH:MITOCHONDRIA',variable] = False
metabolites.loc['NAD+:MITOCHONDRIA',conc] = 2.600000e-03
metabolites.loc['NAD+:MITOCHONDRIA',variable] = False
metabolites.loc['NADH:CYTOSOL',conc] = 8.300000e-05
metabolites.loc['NADH:CYTOSOL',variable] = False
metabolites.loc['NAD+:CYTOSOL',conc] = 2.600000e-03
metabolites.loc['NAD+:CYTOSOL',variable] = False
metabolites.loc['NADPH:CYTOSOL',conc] = 8.300000e-05 #also use 1.2e-4
metabolites.loc['NADPH:CYTOSOL',variable] = False
metabolites.loc['NADP+:CYTOSOL',conc] = 2.600000e-03 #also use 2.1e-6
metabolites.loc['NADP+:CYTOSOL',variable] = False
metabolites.loc['COA:MITOCHONDRIA',conc] = 1.400000e-03
metabolites.loc['COA:MITOCHONDRIA',variable] = False
metabolites.loc['COA:CYTOSOL',conc] = 1.400000e-03
metabolites.loc['COA:CYTOSOL',variable] = False
metabolites.loc['CO2:MITOCHONDRIA',conc] = 1.000000e-04
metabolites.loc['CO2:MITOCHONDRIA',variable] = False
metabolites.loc['CO2:CYTOSOL',conc] = 1.000000e-04
metabolites.loc['CO2:CYTOSOL',variable] = False
metabolites.loc['H2O:MITOCHONDRIA',conc] = 55.5
metabolites.loc['H2O:MITOCHONDRIA',variable] = False
metabolites.loc['H2O:CYTOSOL',conc] = 55.5
metabolites.loc['H2O:CYTOSOL',variable] = False
metabolites.loc['BETA-D-GLUCOSE:CYTOSOL',conc] = 2.0e-03
metabolites.loc['BETA-D-GLUCOSE:CYTOSOL',variable] = False
metabolites.loc["CHITOBIOSE:CYTOSOL",conc] = 2.0e-09
metabolites.loc["CHITOBIOSE:CYTOSOL",variable] = False
metabolites.loc['1,3-BETA-D-GLUCAN:CYTOSOL',conc] = 2.0e-09
metabolites.loc['1,3-BETA-D-GLUCAN:CYTOSOL',variable] = False
metabolites.loc['L-GLUTAMINE:CYTOSOL',conc] = 2.0e-03
metabolites.loc['L-GLUTAMINE:CYTOSOL',variable] = False
metabolites.loc['L-GLUTAMATE:CYTOSOL',conc] = 2.0e-04
metabolites.loc['L-GLUTAMATE:CYTOSOL',variable] = False
metabolites.loc['CELLOBIOSE:CYTOSOL',conc] = 2.0e-04
metabolites.loc['CELLOBIOSE:CYTOSOL',variable] = False
metabolites.loc['N-ACETYL-D-GLUCOSAMINE:CYTOSOL',conc] = 1.0e-08
metabolites.loc['N-ACETYL-D-GLUCOSAMINE:CYTOSOL',variable] = False
#When loading experimental concentrations, first copy current
#rule of thumb then overwrite with data values.
metabolites[conc_exp] = metabolites[conc]
metabolites.loc['2-OXOGLUTARATE:MITOCHONDRIA',conc_exp] = 0.0000329167257825644
metabolites.loc['ISOCITRATE:MITOCHONDRIA',conc_exp] = 0.000102471198594958
metabolites.loc['PHOSPHOENOLPYRUVATE:CYTOSOL',conc_exp] = 0.0000313819870767023
metabolites.loc['D-GLYCERALDEHYDE-3-PHOSPHATE:CYTOSOL',conc_exp] = 0.0000321630949358949
metabolites.loc['FUMARATE:MITOCHONDRIA',conc_exp] = 0.00128926137523035
metabolites.loc['L-GLUTAMINE:CYTOSOL',conc_exp] = 0.0034421144256392
metabolites.loc['PYRUVATE:MITOCHONDRIA',conc_exp] = 0.0000778160985710288
metabolites.loc['PYRUVATE:CYTOSOL',conc_exp] = 0.0000778160985710288
metabolites.loc['D-FRUCTOSE_6-PHOSPHATE:CYTOSOL',conc_exp] = 0.00495190614473117
metabolites.loc['D-RIBOSE-5-PHOSPHATE:CYTOSOL',conc_exp] = 0.0000849533575412862
metabolites.loc['CITRATE:MITOCHONDRIA',conc_exp] = 0.000485645834537379
metabolites.loc['CITRATE:CYTOSOL',conc_exp] = 0.000485645834537379
metabolites.loc['(S)-MALATE:MITOCHONDRIA',conc_exp] = 0.00213827060541153
metabolites.loc['(S)-MALATE:CYTOSOL',conc_exp] = 0.00213827060541153
metabolites.loc['SEDOHEPTULOSE_7-PHOSPHATE:CYTOSOL',conc_exp] = 0.00203246193132095
metabolites.loc['D-RIBULOSE-5-PHOSPHATE:CYTOSOL',conc_exp] = 0.000468439334729429
metabolites.loc['L-GLUTAMATE:CYTOSOL',conc_exp] = 0.00557167476932484
metabolites.loc['SUCCINATE:MITOCHONDRIA',conc_exp] = 0.000942614767220802
metabolites.loc['D-XYLULOSE-5-PHOSPHATE:CYTOSOL',conc_exp] = 0.000468439334729429
nvariables = metabolites[metabolites[variable]].count()
nvar = nvariables[variable]
metabolites.sort_values(by=variable, axis=0,ascending=False, inplace=True,)
#print(metabolites)
#%%
nvariables = metabolites[metabolites[variable]].count()
nvar = nvariables[variable]
metabolites.sort_values(by=variable, axis=0,ascending=False, inplace=True,)
#print(metabolites)
# ## Prepare model for optimization
# - Adjust S Matrix to use only reactions with activity > 0, if necessary.
# - Water stoichiometry in the stiochiometric matrix needs to be set to zero since water is held constant.
# - The initial concentrations of the variable metabolites are random.
# - All concentrations are changed to log counts.
# - Equilibrium constants are calculated from standard free energies of reaction.
# - R (reactant) and P (product) matrices are derived from S.
# Make sure all the indices and columns are in the correct order:
active_reactions = reactions[reactions[enzyme_level] > 0.0]
#print(reactions)
#print(metabolites.index)
Sactive_index = S_active.index
active_reactions.reindex(index = Sactive_index, copy = False)
S_active = S_active.reindex(columns = metabolites.index, copy = False)
S_active['H2O:MITOCHONDRIA'] = 0
S_active['H2O:CYTOSOL'] = 0
#####################################
#####################################
#THIS IS MAKING FLUX -> 0.0
where_are_NaNs = np.isnan(S_active)
S_active[where_are_NaNs] = 0
#print(S_active[:])
S_mat = S_active.values
Keq_constant = np.exp(-active_reactions[deltag0].astype('float')/RT)
#print(Keq_constant)
Keq_constant = Keq_constant.values
P_mat = np.where(S_mat>0,S_mat,0)
R_back_mat = np.where(S_mat<0, S_mat, 0)
E_regulation = np.ones(Keq_constant.size) # THis is the vector of enzyme activities, Range: 0 to 1.
mu0 = 1 #Dummy parameter for now; reserved for free energies of formation
#If no experimental data is available, we can estimate using 'rule-of-thumb' data at 0.001
conc_type=conc
if (use_experimental_data):
print("USING EXPERIMENTAL DATA")
conc_type=conc_exp
variable_concs = np.array(metabolites[conc_type].iloc[0:nvar].values, dtype=np.float64)
v_log_concs = -10 + 10*np.random.rand(nvar) #Vary between 1 M to 1.0e-10 M
v_concs = np.exp(v_log_concs)
v_log_counts_stationary = np.log(v_concs*Concentration2Count)
v_log_counts = v_log_counts_stationary
#print(v_log_counts)
fixed_concs = np.array(metabolites[conc_type].iloc[nvar:].values, dtype=np.float64)
fixed_counts = fixed_concs*Concentration2Count
f_log_counts = np.log(fixed_counts)
complete_target_log_counts = np.log(Concentration2Count * metabolites[conc_type].values)
target_v_log_counts = complete_target_log_counts[0:nvar]
target_f_log_counts = complete_target_log_counts[nvar:]
#WARNING:::::::::::::::CHANGE BACK TO ZEROS
delta_increment_for_small_concs = (10**-50)*np.zeros(metabolites[conc_type].values.size);
variable_concs_begin = np.array(metabolites[conc_type].iloc[0:nvar].values, dtype=np.float64)
#%% Basic test
v_log_counts = np.log(variable_concs_begin*Concentration2Count)
#r_log_counts = -10 + 10*np.random.rand(v_log_counts.size)
#v_log_counts = r_log_counts
#print('====== Without adjusting Keq_constant ======')
E_regulation = np.ones(Keq_constant.size) # THis is the vector of enzyme activities, Range: 0 to 1.
nvar = v_log_counts.size
#WARNING: INPUT LOG_COUNTS TO ALL FUNCTIONS. CONVERSION TO COUNTS IS DONE INTERNALLY
res_lsq1 = least_squares(max_entropy_functions.derivatives, v_log_counts, method='lm',xtol=1e-15, args=(f_log_counts, mu0, S_mat, R_back_mat, P_mat, delta_increment_for_small_concs, Keq_constant, E_regulation))
if (res_lsq1.success==False):
res_lsq1 = least_squares(max_entropy_functions.derivatives, v_log_counts,method='dogbox',xtol=1e-15, args=(f_log_counts, mu0, S_mat, R_back_mat, P_mat, delta_increment_for_small_concs, Keq_constant, E_regulation))
if (res_lsq1.success==False):
res_lsq1 = least_squares(max_entropy_functions.derivatives, v_log_counts,method='trf',xtol=1e-15, args=(f_log_counts, mu0, S_mat, R_back_mat, P_mat, delta_increment_for_small_concs, Keq_constant, E_regulation))
rxn_flux = max_entropy_functions.oddsDiff(res_lsq1.x, f_log_counts, mu0, S_mat, R_back_mat, P_mat, delta_increment_for_small_concs, Keq_constant, E_regulation)
# In[ ]:
begin_log_metabolites = np.append(res_lsq1.x,f_log_counts)
##########################################
##########################################
#####################TESTER###############
E_regulation = np.ones(Keq_constant.size) # THis is the vector of enzyme activities, Range: 0 to 1.
log_metabolites = np.append(res_lsq1.x,f_log_counts)
KQ_f = max_entropy_functions.odds(log_metabolites,mu0,S_mat, R_back_mat, P_mat, delta_increment_for_small_concs,Keq_constant)
Keq_inverse = np.power(Keq_constant,-1)
KQ_r = max_entropy_functions.odds(log_metabolites,mu0,-S_mat, P_mat, R_back_mat, delta_increment_for_small_concs,Keq_inverse,-1)
[RR,Jac] = max_entropy_functions.calc_Jac2(res_lsq1.x, f_log_counts, S_mat, delta_increment_for_small_concs, KQ_f, KQ_r, E_regulation)
A = max_entropy_functions.calc_A(res_lsq1.x,f_log_counts, S_mat, Jac, E_regulation )
[ccc,fcc] = max_entropy_functions.conc_flux_control_coeff(nvar, A, S_mat, rxn_flux, RR)
React_Choice=6
newE = max_entropy_functions.calc_reg_E_step(E_regulation,React_Choice, nvar, res_lsq1.x, f_log_counts, complete_target_log_counts,
S_mat, A, rxn_flux,KQ_f)
delta_S_metab = max_entropy_functions.calc_deltaS_metab(res_lsq1.x, target_v_log_counts);
ipolicy = 7 #use ipolicy=1 or 4
reaction_choice = max_entropy_functions.get_enzyme2regulate(ipolicy, delta_S_metab, ccc, KQ_f, E_regulation, res_lsq1.x)
#%%
#device = torch.device("cpu")
device = torch.device('cuda' if torch.cuda.is_available() else 'cpu')
print('Using device:', device)
#set variables in ML program
me.device=device
me.v_log_counts_static = v_log_counts_stationary
me.target_v_log_counts = target_v_log_counts
me.complete_target_log_counts = complete_target_log_counts
me.Keq_constant = Keq_constant
me.f_log_counts = f_log_counts
me.P_mat = P_mat
me.R_back_mat = R_back_mat
me.S_mat = S_mat
me.delta_increment_for_small_concs = delta_increment_for_small_concs
me.nvar = nvar
me.mu0 = mu0
me.gamma = gamma
me.num_rxns = Keq_constant.size
me.penalty_reward_scalar=penalty_reward_scalar
#%%
N, D_in, H, D_out = 1, Keq_constant.size, 20*Keq_constant.size, 1
# Create random Tensors to hold inputs and outputs
x = torch.rand(1000, D_in, device=device)
nn_model = torch.nn.Sequential(
torch.nn.Linear(D_in, H),
torch.nn.Tanh(),
torch.nn.Linear(H,D_out)).to(device)
loss_fn = torch.nn.MSELoss(reduction='sum')
#learning_rate=5e-6
#optimizer = torch.optim.SGD(nn_model.parameters(), lr=learning_rate, momentum=0.9)
optimizer = torch.optim.SGD(nn_model.parameters(), lr=learning_rate, momentum=0.9)
#optimizer = torch.optim.Adam(nn_model.parameters(), lr=3e-4)
scheduler = torch.optim.lr_scheduler.ReduceLROnPlateau(optimizer, patience=200, verbose=True, min_lr=1e-10,cooldown=10,threshold=1e-5)
#scheduler = torch.optim.lr_scheduler.ReduceLROnPlateau(optimizer, patience=100, verbose=True, min_lr=1e-10,cooldown=10,threshold=1e-4)
#%% SGD UPDATE TEST
#attempted iterations to update theta_linear
v_log_counts = v_log_counts_stationary.copy()
episodic_loss = []
episodic_loss_max = []
episodic_epr = []
episodic_reward = []
episodic_nn_step = []
episodic_random_step = []
epsilon_greedy_init = epsilon
final_states=np.zeros(Keq_constant.size)
final_KQ_fs=np.zeros(Keq_constant.size)
final_KQ_rs=np.zeros(Keq_constant.size)
epr_per_state=[]
was_state_terminal=[]
for update in range(0,updates):
x_changing = 1*torch.rand(1000, D_in, device=device)
#generate state to use
state_sample = np.zeros(Keq_constant.size)
for sample in range(0,len(state_sample)):
state_sample[sample] = np.random.uniform(1,1)
#annealing test
if ((update % eps_threshold== 0) and (update != 0)):
epsilon=epsilon/2
print("RESET epsilon ANNEALING")
print(epsilon)
prediction_x_changing_previous = nn_model(x_changing)
#nn_model.train()
[sum_reward, average_loss,max_loss,final_epr,final_state,final_KQ_f,final_KQ_r, reached_terminal_state,\
random_steps_taken,nn_steps_taken] = me.sarsa_n(nn_model,loss_fn, optimizer, scheduler, state_sample, n_back_step, epsilon)
print("EPISODE")
print(update)
print("MAXIMUM LAYER WEIGHTS")
for layer in nn_model.modules():
try:
print(torch.max(layer.weight))
except:
print("")
print('random,nn steps')
print(random_steps_taken)
print(nn_steps_taken)
if (reached_terminal_state):
was_state_terminal.append(1)
else:
was_state_terminal.append(0)
final_states = np.vstack((final_states,final_state))
final_KQ_fs = np.vstack((final_KQ_fs,final_KQ_f))
final_KQ_rs = np.vstack((final_KQ_rs,final_KQ_r))
epr_per_state.append(final_epr)
episodic_epr.append(final_epr)
episodic_loss.append(average_loss)
episodic_loss_max.append(max_loss)
episodic_reward.append(sum_reward)
episodic_nn_step.append(nn_steps_taken)
episodic_random_step.append(random_steps_taken)
scheduler.step(average_loss)
print("TOTAL REWARD")
print(sum_reward)
print("ave loss")
print(average_loss)
print("max_loss")
print(max_loss)
print(optimizer.state_dict)
print(scheduler.state_dict())
prediction_x_changing = nn_model(x_changing)
total_prediction_changing_diff = sum(abs(prediction_x_changing - prediction_x_changing_previous))
print("TOTALPREDICTION")
print(total_prediction_changing_diff)
np.savetxt(cwd+'/TCA_PPP_GLYCOLYSIS_CELLWALL/data/'+
'temp_episodic_loss_'+str(n_back_step) +
'_lr'+str(learning_rate)+
'_'+str(eps_threshold)+
'_eps'+str(epsilon_greedy_init)+
'_'+str(sim_number)+
'_penalty_reward_scalar_'+str(me.penalty_reward_scalar)+
'_use_experimental_metab_'+str(int(use_experimental_data))+
'.txt', episodic_loss, fmt='%f')
np.savetxt(cwd+'/TCA_PPP_GLYCOLYSIS_CELLWALL/data/'+
'temp_epr_'+str(n_back_step) +
'_lr'+str(learning_rate)+
'_'+str(eps_threshold)+
'_eps'+str(epsilon_greedy_init)+
'_'+str(sim_number)+
'_penalty_reward_scalar_'+str(me.penalty_reward_scalar)+
'_use_experimental_metab_'+str(int(use_experimental_data))+
'.txt', episodic_epr, fmt='%f')
np.savetxt(cwd+'/TCA_PPP_GLYCOLYSIS_CELLWALL/data/'+
'temp_episodic_reward_'+str(n_back_step)+
'_lr'+str(learning_rate)+
'_'+str(eps_threshold)+
'_eps'+str(epsilon_greedy_init)+'_'+str(sim_number)+
'_penalty_reward_scalar_'+str(me.penalty_reward_scalar)+
'_use_experimental_metab_'+str(int(use_experimental_data))+
'.txt', episodic_reward, fmt='%f')
np.savetxt(cwd+'/TCA_PPP_GLYCOLYSIS_CELLWALL/data/'+
'temp_final_states_'+str(n_back_step)+
'_lr'+str(learning_rate)+
'_'+str(eps_threshold)+
'_eps'+str(epsilon_greedy_init)+'_'+str(sim_number)+
'_penalty_reward_scalar_'+str(me.penalty_reward_scalar)+
'_use_experimental_metab_'+str(int(use_experimental_data))+
'.txt', final_states, fmt='%f')
if (update > 200):
if ((max(episodic_loss[-100:])-min(episodic_loss[-100:]) < 0.025) and (update > 350)):
break
#%%
#gamma9 -> gamma=0.9
#n8 -> n_back_step=8
#k5 -> E=E-E/5 was used
#lr5e6 -> begin lr=0.5*e-6
torch.save(nn_model, cwd+'/TCA_PPP_GLYCOLYSIS_CELLWALL/models_final_data/'+
'complete_model_gly_tca_gog_gamma9_n'+str(n_back_step)+'_k5_'\
'_lr'+str(learning_rate)+
'_threshold'+str(eps_threshold)+
'_eps'+str(epsilon_greedy_init)+
'_penalty_reward_scalar_'+str(me.penalty_reward_scalar)+
'_use_experimental_metab_' +str(int(use_experimental_data))+
'_sim'+str(sim_number) + '.pth')
np.savetxt(cwd+'/TCA_PPP_GLYCOLYSIS_CELLWALL/models_final_data/'+
'episodic_terminal_state_gamma9_n'+str(n_back_step)+'_k5_'
'_lr'+str(learning_rate)+
'_threshold'+str(eps_threshold)+
'_eps'+str(epsilon_greedy_init)+
'_penalty_reward_scalar_'+str(me.penalty_reward_scalar)+
'_use_experimental_metab_'+str(int(use_experimental_data))+
'_sim'+str(sim_number)+
'.txt', was_state_terminal, fmt='%f')
np.savetxt(cwd+'/TCA_PPP_GLYCOLYSIS_CELLWALL/models_final_data/'+
'episodic_loss_gamma9_n'+str(n_back_step)+'_k5_'
'_lr'+str(learning_rate)+
'_threshold'+str(eps_threshold)+
'_eps'+str(epsilon_greedy_init)+
'_penalty_reward_scalar_'+str(me.penalty_reward_scalar)+
'_use_experimental_metab_'+str(int(use_experimental_data))+
'_sim'+str(sim_number)+
'.txt', episodic_loss, fmt='%f')
np.savetxt(cwd+'/TCA_PPP_GLYCOLYSIS_CELLWALL/models_final_data/'+
'episodic_loss_max_gamma9_n'+str(n_back_step)+'_k5_'+
'_lr'+str(learning_rate)+
'_threshold'+str(eps_threshold)+'_eps'+str(epsilon_greedy_init)+
'_penalty_reward_scalar_'+str(me.penalty_reward_scalar)+
'_use_experimental_metab_'+str(int(use_experimental_data))+
'_sim'+str(sim_number)+
'.txt', episodic_loss_max, fmt='%f')
np.savetxt(cwd+'/TCA_PPP_GLYCOLYSIS_CELLWALL/models_final_data/'+
'episodic_reward_gamma9_n'+str(n_back_step)+'_k5_'+
'_lr'+str(learning_rate)+
'_threshold'+str(eps_threshold)+
'_eps'+str(epsilon_greedy_init)+
'_penalty_reward_scalar_'+str(me.penalty_reward_scalar)+
'_use_experimental_metab_'+str(int(use_experimental_data))+
'_sim'+str(sim_number)+
'.txt', episodic_reward, fmt='%f')
np.savetxt(cwd+'/TCA_PPP_GLYCOLYSIS_CELLWALL/models_final_data/'+
'final_states_gamma9_n'+str(n_back_step)+'_k5_'+
'_lr'+str(learning_rate)+
'_threshold'+str(eps_threshold)+
'_eps'+str(epsilon_greedy_init)+
'_penalty_reward_scalar_'+str(me.penalty_reward_scalar)+
'_use_experimental_metab_'+str(int(use_experimental_data))+
'_sim'+str(sim_number)+\
'.txt', final_states, fmt='%f')
np.savetxt(cwd+'/TCA_PPP_GLYCOLYSIS_CELLWALL/models_final_data/'+
'final_KQF_gamma9_n'+str(n_back_step)+'_k5_'+
'_lr'+str(learning_rate)+
'_threshold'+str(eps_threshold)+
'_eps'+str(epsilon_greedy_init)+
'_penalty_reward_scalar_'+str(me.penalty_reward_scalar)+
'_use_experimental_metab_'+str(int(use_experimental_data))+
'_sim'+str(sim_number)+\
'.txt', final_KQ_fs, fmt='%f')
np.savetxt(cwd+'/TCA_PPP_GLYCOLYSIS_CELLWALL/models_final_data/'+
'final_KQR_gamma9_n'+str(n_back_step)+'_k5_'+
'_lr'+str(learning_rate)+
'_threshold'+str(eps_threshold)+
'_eps'+str(epsilon_greedy_init)+
'_penalty_reward_scalar_'+str(me.penalty_reward_scalar)+
'_use_experimental_metab_'+str(int(use_experimental_data))+
'_sim'+str(sim_number)+\
'.txt', final_KQ_rs, fmt='%f')
np.savetxt(cwd+'/TCA_PPP_GLYCOLYSIS_CELLWALL/models_final_data/'+
'epr_per_state_gamma9_n'+str(n_back_step)+'_k5_'+
'_lr'+str(learning_rate)+
'_threshold'+str(eps_threshold)+
'_eps'+str(epsilon_greedy_init)+
'_penalty_reward_scalar_'+str(me.penalty_reward_scalar)+
'_use_experimental_metab_' +str(int(use_experimental_data))+
'_sim'+str(sim_number)+
'.txt', epr_per_state, fmt='%f')
[ccc,
fcc] = max_entropy_functions.conc_flux_control_coeff(nvar, A, S_mat, rxn_flux,
RR)
React_Choice = 6
newE = max_entropy_functions.calc_reg_E_step(E_regulation, React_Choice, nvar,
res_lsq1.x, f_log_counts,
complete_target_log_counts, S_mat,
A, rxn_flux, KQ_f)
delta_S_metab = max_entropy_functions.calc_deltaS_metab(
res_lsq1.x, target_v_log_counts)
ipolicy = 7 #use ipolicy=1 or 4
reaction_choice = max_entropy_functions.get_enzyme2regulate(
ipolicy, delta_S_metab, ccc, KQ_f, E_regulation, res_lsq1.x)
device = torch.device("cpu")
#%%
import machine_learning_functions as me
#set variables in ML program
me.device = device
me.v_log_counts_static = v_log_counts_stationary
me.target_v_log_counts = target_v_log_counts
me.complete_target_log_counts = complete_target_log_counts
me.Keq_constant = Keq_constant
me.f_log_counts = f_log_counts
me.P_mat = P_mat
def run(argv):
try:
os.makedirs(cwd + '/TCA_PPP_GLYCOLYSIS_GOGAT/data')
except FileExistsError:
# directory already exists
pass
try:
os.makedirs(cwd + '/TCA_PPP_GLYCOLYSIS_GOGAT/models_final_data')
except FileExistsError:
# directory already exists
pass
pd.set_option('display.max_columns', None, 'display.max_rows', None)
###Default Values
#If no experimental data is available, we can estimate using 'rule-of-thumb' data at 0.001
use_experimental_data = False
learning_rate = 1e-8 #3rd
epsilon = 0.2 #4th
eps_threshold = 25 #5th
gamma = 0.9 #6th
updates = 500
penalty_reward_scalar = 0.0
#load input
total = len(sys.argv)
cmdargs = str(sys.argv)
print("The total numbers of args passed to the script: %d " % total)
print("Args list: %s " % cmdargs)
print("Script name: %s" % str(sys.argv[0]))
for i in range(total):
print("Argument # %d : %s" % (i, str(sys.argv[i])))
sim_number = int(sys.argv[1])
n_back_step = int(sys.argv[2])
if (n_back_step < 1):
print('n must be larger than zero')
return
if (total > 3):
use_experimental_data = bool(int(sys.argv[3]))
if (total > 4):
learning_rate = float(sys.argv[4])
if (total > 5):
epsilon = float(sys.argv[5])
if (total > 6):
eps_threshold = float(sys.argv[6])
if (total > 7):
gamma = float(sys.argv[7])
print("sim")
print(sim_number)
print("n_back_step")
print(n_back_step)
print("using experimental metabolite data")
print(use_experimental_data)
print("learning_rate")
print(learning_rate)
print("epsilon")
print(epsilon)
print("eps_threshold")
print(eps_threshold)
print("gamma")
print(gamma)
#Initial Values
T = 298.15
R = 8.314e-03
RT = R * T
N_avogadro = 6.022140857e+23
VolCell = 1.0e-15
Concentration2Count = N_avogadro * VolCell
concentration_increment = 1 / (N_avogadro * VolCell)
np.set_printoptions(suppress=True) #turn off printin
fdat = open(cwd + '/TCA_PPP_GLYCOLYSIS_GOGAT/TCA_PPP_Glycolysis.dat', 'r')
left = 'LEFT'
right = 'RIGHT'
left_compartment = 'LEFT_COMPARTMENT'
right_compartment = 'RIGHT_COMPARTMENT'
enzyme_level = 'ENZYME_LEVEL'
deltag0 = 'DGZERO'
deltag0_sigma = 'DGZERO StdDev'
same_compartment = 'Same Compartment?'
full_rxn = 'Full Rxn'
reactions = pd.DataFrame(index=[],
columns=[
left, right, left_compartment,
right_compartment, enzyme_level, deltag0,
deltag0_sigma, same_compartment, full_rxn
])
reactions.index.name = 'REACTION'
S_matrix = pd.DataFrame(index=[], columns=[enzyme_level])
S_matrix.index.name = 'REACTION'
for line in fdat:
if (line.startswith('REACTION')):
rxn_name = line[9:-1].lstrip()
S_matrix.loc[rxn_name, enzyme_level] = 1.0
reactions.loc[rxn_name, enzyme_level] = 1.0
if (re.match("^LEFT\s", line)):
line = line.upper()
left_rxn = line[4:-1].lstrip()
left_rxn = re.sub(r'\s+$', '',
left_rxn) #Remove trailing white space
reactions.loc[rxn_name, left] = left_rxn
elif (re.match('^RIGHT\s', line)):
line = line.upper()
right_rxn = line[5:-1].lstrip()
right_rxn = re.sub(r'\s+$', '',
right_rxn) #Remove trailing white space
reactions.loc[rxn_name, right] = right_rxn
elif (line.startswith(left_compartment)):
cpt_name = line[16:-1].lstrip()
reactions.loc[rxn_name, left_compartment] = cpt_name
reactants = re.split(' \+ ', left_rxn)
for idx in reactants:
values = re.split(' ', idx)
if len(values) == 2:
stoichiometry = np.float64(values[0])
molecule = values[1]
if not re.search(':', molecule):
molecule = molecule + ':' + cpt_name
else:
stoichiometry = np.float64(-1.0)
molecule = values[0]
if not re.search(':', molecule):
molecule = molecule + ':' + cpt_name
S_matrix.loc[rxn_name, molecule] = stoichiometry
elif (line.startswith(right_compartment)):
cpt_name = line[17:-1].lstrip()
reactions.loc[rxn_name, right_compartment] = cpt_name
products = re.split(' \+ ', right_rxn)
for idx in products:
values = re.split(' ', idx)
if len(values) == 2:
stoichiometry = np.float64(values[0])
molecule = values[1]
if not re.search(':', molecule):
molecule = molecule + ':' + cpt_name
else:
stoichiometry = np.float64(1.0)
molecule = values[0]
if not re.search(':', molecule):
molecule = molecule + ':' + cpt_name
S_matrix.loc[rxn_name, molecule] = stoichiometry
elif (re.match("^ENZYME_LEVEL\s", line)):
level = line[12:-1].lstrip()
reactions.loc[rxn_name, enzyme_level] = float(level)
S_matrix.loc[rxn_name, enzyme_level] = float(level)
elif re.match('^COMMENT', line):
continue
elif re.match(r'//', line):
continue
elif re.match('^#', line):
continue
fdat.close()
S_matrix.fillna(0, inplace=True)
S_active = S_matrix[S_matrix[enzyme_level] > 0.0]
active_reactions = reactions[reactions[enzyme_level] > 0.0]
del S_active[enzyme_level]
S_active = S_active.loc[:, (S_active != 0).any(axis=0)]
np.shape(S_active.values)
reactions[full_rxn] = reactions[left] + ' = ' + reactions[right]
if (1):
for idx in reactions.index:
boltzmann_rxn_str = reactions.loc[idx, 'Full Rxn']
if re.search(':', boltzmann_rxn_str):
all_cmprts = re.findall(':\S+', boltzmann_rxn_str)
[s.replace(':', '') for s in all_cmprts] # remove all the ':'s
different_compartments = 0
for cmpt in all_cmprts:
if not re.match(all_cmprts[0], cmpt):
different_compartments = 1
if ((not different_compartments)
and (reactions[left_compartment].isnull
or reactions[right_compartment].isnull)):
reactions.loc[idx, left_compartment] = cmpt
reactions.loc[idx, right_compartment] = cmpt
reactions.loc[idx, same_compartment] = True
if different_compartments:
reactions.loc[idx, same_compartment] = False
else:
if (reactions.loc[idx, left_compartment] == reactions.loc[
idx, right_compartment]):
reactions.loc[idx, same_compartment] = True
else:
reactions.loc[idx, same_compartment] = False
# Calculate Standard Free Energies of Reaction
reactions.loc['CSm', deltag0] = -35.8057
reactions.loc['ACONTm', deltag0] = 7.62962
reactions.loc['ICDHxm', deltag0] = -2.6492
reactions.loc['AKGDam', deltag0] = -37.245
reactions.loc['SUCOASm', deltag0] = 2.01842
reactions.loc['SUCD1m', deltag0] = 0
reactions.loc['FUMm', deltag0] = -3.44728
reactions.loc['MDHm', deltag0] = 29.5419
reactions.loc['GAPD', deltag0] = 5.24202
reactions.loc['PGK', deltag0] = -18.5083
reactions.loc['TPI', deltag0] = 5.49798
reactions.loc['FBA', deltag0] = 21.4506
reactions.loc['PYK', deltag0] = -27.3548
reactions.loc['PGM', deltag0] = 4.17874
reactions.loc['ENO', deltag0] = -4.0817
reactions.loc['HEX1', deltag0] = -16.7776
reactions.loc['PGI', deltag0] = 2.52206
reactions.loc['PFK', deltag0] = -16.1049
reactions.loc['PYRt2m', deltag0] = -RT * np.log(10)
reactions.loc['PDHm', deltag0] = -44.1315
reactions.loc['G6PDH2r', deltag0] = -3.89329
reactions.loc['PGL', deltag0] = -22.0813
reactions.loc['GND', deltag0] = 2.32254
reactions.loc['RPE', deltag0] = -3.37
reactions.loc['RPI', deltag0] = -1.96367
reactions.loc['TKT2', deltag0] = -10.0342
reactions.loc['TALA', deltag0] = -0.729232
reactions.loc['FBA3', deltag0] = 13.9499
reactions.loc['PFK_3', deltag0] = -9.33337
reactions.loc['TKT1', deltag0] = -3.79303
reactions.loc['GOGAT', deltag0] = 48.1864
reactions.loc['CSm', deltag0_sigma] = 0.930552
reactions.loc['ACONTm', deltag0_sigma] = 0.733847
reactions.loc['ICDHxm', deltag0_sigma] = 7.62095
reactions.loc['AKGDam', deltag0_sigma] = 7.97121
reactions.loc['SUCOASm', deltag0_sigma] = 1.48197
reactions.loc['SUCD1m', deltag0_sigma] = 2.31948
reactions.loc['FUMm', deltag0_sigma] = 0.607693
reactions.loc['MDHm', deltag0_sigma] = 0.422376
reactions.loc['GAPD', deltag0_sigma] = 0.895659
reactions.loc['PGK', deltag0_sigma] = 0.889982
reactions.loc['TPI', deltag0_sigma] = 0.753116
reactions.loc['FBA', deltag0_sigma] = 0.87227
reactions.loc['PYK', deltag0_sigma] = 0.939774
reactions.loc['PGM', deltag0_sigma] = 0.65542
reactions.loc['ENO', deltag0_sigma] = 0.734193
reactions.loc['HEX1', deltag0_sigma] = 0.715237
reactions.loc['PGI', deltag0_sigma] = 0.596775
reactions.loc['PFK', deltag0_sigma] = 0.886629
reactions.loc['PYRt2m', deltag0_sigma] = 0
reactions.loc['PDHm', deltag0_sigma] = 7.66459
reactions.loc['G6PDH2r', deltag0_sigma] = 2.11855
reactions.loc['PGL', deltag0_sigma] = 2.62825
reactions.loc['GND', deltag0_sigma] = 7.60864
reactions.loc['RPE', deltag0_sigma] = 1.16485
reactions.loc['RPI', deltag0_sigma] = 1.16321
reactions.loc['TKT2', deltag0_sigma] = 2.08682
reactions.loc['TALA', deltag0_sigma] = 1.62106
reactions.loc['FBA3', deltag0_sigma] = 7.36854
reactions.loc['PFK_3', deltag0_sigma] = 7.3671
reactions.loc['TKT1', deltag0_sigma] = 2.16133
reactions.loc['GOGAT', deltag0_sigma] = 2.0508
conc = 'Conc'
variable = 'Variable'
conc_exp = 'Conc_Experimental'
metabolites = pd.DataFrame(index=S_active.columns,
columns=[conc, conc_exp, variable])
metabolites[conc] = 0.001
metabolites[variable] = True
metabolites.loc['BETA-D-GLUCOSE:CYTOSOL', conc] = 2.000000e-03
metabolites.loc['BETA-D-GLUCOSE:CYTOSOL', variable] = False
metabolites.loc['NADH:CYTOSOL', conc] = 8.300000e-05
metabolites.loc['NADH:CYTOSOL', variable] = False
metabolites.loc['NAD+:CYTOSOL', conc] = 2.600000e-03
metabolites.loc['NAD+:CYTOSOL', variable] = False
metabolites.loc['NADPH:CYTOSOL', conc] = 8.300000e-05
metabolites.loc['NADPH:CYTOSOL', variable] = False
metabolites.loc['NADP+:CYTOSOL', conc] = 2.600000e-03
metabolites.loc['NADP+:CYTOSOL', variable] = False
metabolites.loc['ATP:CYTOSOL', conc] = 9.600000e-03
metabolites.loc['ATP:CYTOSOL', variable] = False
metabolites.loc['ADP:CYTOSOL', conc] = 5.600000e-04
metabolites.loc['ADP:CYTOSOL', variable] = False
metabolites.loc['ORTHOPHOSPHATE:CYTOSOL', conc] = 2.000000e-02
metabolites.loc['ORTHOPHOSPHATE:CYTOSOL', variable] = False
metabolites.loc['CO2:CYTOSOL', conc] = 1.000000e-04
metabolites.loc['CO2:CYTOSOL', variable] = False
metabolites.loc['H2O:CYTOSOL', conc] = 5.550000e+01
metabolites.loc['H2O:CYTOSOL', variable] = False
metabolites.loc['NADH:MITOCHONDRIA', conc] = 8.300000e-05
metabolites.loc['NADH:MITOCHONDRIA', variable] = False
metabolites.loc['NAD+:MITOCHONDRIA', conc] = 2.600000e-03
metabolites.loc['NAD+:MITOCHONDRIA', variable] = False
metabolites.loc['ATP:MITOCHONDRIA', conc] = 9.600000e-03
metabolites.loc['ATP:MITOCHONDRIA', variable] = False
metabolites.loc['ADP:MITOCHONDRIA', conc] = 5.600000e-04
metabolites.loc['ADP:MITOCHONDRIA', variable] = False
metabolites.loc['ORTHOPHOSPHATE:MITOCHONDRIA', conc] = 2.000000e-02
metabolites.loc['ORTHOPHOSPHATE:MITOCHONDRIA', variable] = False
metabolites.loc['H2O:MITOCHONDRIA', conc] = 5.550000e+01
metabolites.loc['H2O:MITOCHONDRIA', variable] = False
metabolites.loc['CO2:MITOCHONDRIA', conc] = 1.000000e-04
metabolites.loc['CO2:MITOCHONDRIA', variable] = False
metabolites.loc['COA:MITOCHONDRIA', conc] = 1.400000e-03
metabolites.loc['COA:MITOCHONDRIA', variable] = False
#addition of GOGAT requires fixed
metabolites.loc['L-GLUTAMATE:MITOCHONDRIA', conc] = 9.60e-05
metabolites.loc['L-GLUTAMATE:MITOCHONDRIA', variable] = False
metabolites.loc['L-GLUTAMINE:MITOCHONDRIA', conc] = 3.81e-03
metabolites.loc['L-GLUTAMINE:MITOCHONDRIA', variable] = False
#When loading experimental concentrations, first copy current
#rule of thumb then overwrite with data values.
metabolites[conc_exp] = metabolites[conc]
metabolites.loc['(S)-MALATE:MITOCHONDRIA', conc_exp] = 1.68e-03
metabolites.loc['BETA-D-GLUCOSE-6-PHOSPHATE:CYTOSOL', conc_exp] = 7.88e-03
metabolites.loc['D-GLYCERALDEHYDE-3-PHOSPHATE:CYTOSOL',
conc_exp] = 2.71e-04
metabolites.loc['PYRUVATE:MITOCHONDRIA', conc_exp] = 3.66e-03
metabolites.loc['ISOCITRATE:MITOCHONDRIA', conc_exp] = 1.000000e-03
metabolites.loc['OXALOACETATE:MITOCHONDRIA', conc_exp] = 1.000000e-03
metabolites.loc['3-PHOSPHO-D-GLYCEROYL_PHOSPHATE:CYTOSOL',
conc_exp] = 1.000000e-03
metabolites.loc['ACETYL-COA:MITOCHONDRIA', conc_exp] = 6.06e-04
metabolites.loc['CITRATE:MITOCHONDRIA', conc_exp] = 1.96e-03
metabolites.loc['2-OXOGLUTARATE:MITOCHONDRIA', conc_exp] = 4.43e-04
metabolites.loc['FUMARATE:MITOCHONDRIA', conc_exp] = 1.15e-04
metabolites.loc['SUCCINYL-COA:MITOCHONDRIA', conc_exp] = 2.33e-04
metabolites.loc['3-PHOSPHO-D-GLYCERATE:CYTOSOL', conc_exp] = 1.54e-03
metabolites.loc['GLYCERONE_PHOSPHATE:CYTOSOL', conc_exp] = 3.060000e-03
metabolites.loc['SUCCINATE:MITOCHONDRIA', conc_exp] = 5.69e-04
metabolites.loc['D-RIBULOSE-5-PHOSPHATE:CYTOSOL', conc_exp] = 1.12e-04
metabolites.loc['PHOSPHOENOLPYRUVATE:CYTOSOL', conc_exp] = 1.84e-04
metabolites.loc['D-FRUCTOSE_1,6-BISPHOSPHATE:CYTOSOL', conc_exp] = 1.52e-02
metabolites.loc['D-ERYTHROSE-4-PHOSPHATE:CYTOSOL', conc_exp] = 4.90e-05
metabolites.loc['D-XYLULOSE-5-PHOSPHATE:CYTOSOL', conc_exp] = 1.810000e-04
metabolites.loc['D-FRUCTOSE_6-PHOSPHATE:CYTOSOL', conc_exp] = 2.52e-03
metabolites.loc['PYRUVATE:CYTOSOL', conc_exp] = 3.66e-03
metabolites.loc['D-RIBOSE-5-PHOSPHATE:CYTOSOL', conc_exp] = 7.8700e-04
metabolites.loc['SEDOHEPTULOSE_7-PHOSPHATE:CYTOSOL', conc_exp] = 8.82e-04
metabolites.loc['2-PHOSPHO-D-GLYCERATE:CYTOSOL', conc_exp] = 9.180e-05
metabolites.loc['6-PHOSPHO-D-GLUCONATE:CYTOSOL', conc_exp] = 3.77e-03
metabolites.loc['SEDOHEPTULOSE_1,7-BISPHOSPHATE:CYTOSOL',
conc_exp] = 1.000000e-03
metabolites.loc['D-GLUCONO-1,5-LACTONE_6-PHOSPHATE:CYTOSOL',
conc_exp] = 1.000000e-03
#%%
nvariables = metabolites[metabolites[variable]].count()
nvar = nvariables[variable]
metabolites.sort_values(
by=variable,
axis=0,
ascending=False,
inplace=True,
)
# ## Prepare model for optimization
# - Adjust S Matrix to use only reactions with activity > 0, if necessary.
# - Water stoichiometry in the stiochiometric matrix needs to be set to zero since water is held constant.
# - The initial concentrations of the variable metabolites are random.
# - All concentrations are changed to log counts.
# - Equilibrium constants are calculated from standard free energies of reaction.
# - R (reactant) and P (product) matrices are derived from S.
# Make sure all the indices and columns are in the correct order:
active_reactions = reactions[reactions[enzyme_level] > 0.0]
Sactive_index = S_active.index
active_reactions.reindex(index=Sactive_index, copy=False)
S_active = S_active.reindex(columns=metabolites.index, copy=False)
S_active['H2O:MITOCHONDRIA'] = 0
S_active['H2O:CYTOSOL'] = 0
where_are_NaNs = np.isnan(S_active)
S_active[where_are_NaNs] = 0
S_mat = S_active.values
Keq_constant = np.exp(-active_reactions[deltag0].astype('float') / RT)
Keq_constant = Keq_constant.values
P_mat = np.where(S_mat > 0, S_mat, 0)
R_back_mat = np.where(S_mat < 0, S_mat, 0)
E_regulation = np.ones(
Keq_constant.size
) # THis is the vector of enzyme activities, Range: 0 to 1.
mu0 = 1 #Dummy parameter for now; reserved for free energies of formation
conc_type = conc
if (use_experimental_data):
print("USING EXPERIMENTAL DATA")
conc_type = conc_exp
variable_concs = np.array(metabolites[conc_type].iloc[0:nvar].values,
dtype=np.float64)
v_log_concs = -10 + 10 * np.random.rand(
nvar) #Vary between 1 M to 1.0e-10 M
v_concs = np.exp(v_log_concs)
v_log_counts_stationary = np.log(v_concs * Concentration2Count)
v_log_counts = v_log_counts_stationary
#display(v_log_counts)
fixed_concs = np.array(metabolites[conc_type].iloc[nvar:].values,
dtype=np.float64)
fixed_counts = fixed_concs * Concentration2Count
f_log_counts = np.log(fixed_counts)
complete_target_log_counts = np.log(Concentration2Count *
metabolites[conc_type].values)
target_v_log_counts = complete_target_log_counts[0:nvar]
target_f_log_counts = complete_target_log_counts[nvar:]
delta_increment_for_small_concs = (10**-50) * np.zeros(
metabolites[conc_type].values.size)
variable_concs_begin = np.array(metabolites[conc_type].iloc[0:nvar].values,
dtype=np.float64)
#%% Basic test
v_log_counts = np.log(variable_concs_begin * Concentration2Count)
E_regulation = np.ones(
Keq_constant.size
) # THis is the vector of enzyme activities, Range: 0 to 1.
nvar = v_log_counts.size
#WARNING: INPUT LOG_COUNTS TO ALL FUNCTIONS. CONVERSION TO COUNTS IS DONE INTERNALLY
res_lsq1 = least_squares(max_entropy_functions.derivatives,
v_log_counts,
method='lm',
xtol=1e-15,
args=(f_log_counts, mu0, S_mat, R_back_mat, P_mat,
delta_increment_for_small_concs,
Keq_constant, E_regulation))
res_lsq2 = least_squares(max_entropy_functions.derivatives,
v_log_counts,
method='dogbox',
xtol=1e-15,
args=(f_log_counts, mu0, S_mat, R_back_mat, P_mat,
delta_increment_for_small_concs,
Keq_constant, E_regulation))
rxn_flux = max_entropy_functions.oddsDiff(res_lsq1.x, f_log_counts, mu0,
S_mat, R_back_mat, P_mat,
delta_increment_for_small_concs,
Keq_constant, E_regulation)
begin_log_metabolites = np.append(res_lsq1.x, f_log_counts)
E_regulation = np.ones(
Keq_constant.size
) # THis is the vector of enzyme activities, Range: 0 to 1.
log_metabolites = np.append(res_lsq1.x, f_log_counts)
KQ_f = max_entropy_functions.odds(log_metabolites, mu0, S_mat, R_back_mat,
P_mat, delta_increment_for_small_concs,
Keq_constant)
Keq_inverse = np.power(Keq_constant, -1)
KQ_r = max_entropy_functions.odds(log_metabolites, mu0, -S_mat, P_mat,
R_back_mat,
delta_increment_for_small_concs,
Keq_inverse, -1)
[RR,
Jac] = max_entropy_functions.calc_Jac2(res_lsq1.x, f_log_counts, S_mat,
delta_increment_for_small_concs,
KQ_f, KQ_r, E_regulation)
A = max_entropy_functions.calc_A(res_lsq1.x, f_log_counts, S_mat, Jac,
E_regulation)
[ccc, fcc
] = max_entropy_functions.conc_flux_control_coeff(nvar, A, S_mat,
rxn_flux, RR)
React_Choice = 6
newE = max_entropy_functions.calc_reg_E_step(E_regulation, React_Choice,
nvar, res_lsq1.x,
f_log_counts,
complete_target_log_counts,
S_mat, A, rxn_flux, KQ_f)
delta_S_metab = max_entropy_functions.calc_deltaS_metab(
res_lsq1.x, target_v_log_counts)
ipolicy = 7 #use ipolicy=1 or 4
reaction_choice = max_entropy_functions.get_enzyme2regulate(
ipolicy, delta_S_metab, ccc, KQ_f, E_regulation, res_lsq1.x)
#%% END Basic test
#Machine learning
device = torch.device('cuda' if torch.cuda.is_available() else 'cpu')
print('Using device:', device)
#set variables in ML program
me.cwd = cwd
me.device = device
me.v_log_counts_static = v_log_counts_stationary
me.target_v_log_counts = target_v_log_counts
me.complete_target_log_counts = complete_target_log_counts
me.Keq_constant = Keq_constant
me.f_log_counts = f_log_counts
me.P_mat = P_mat
me.R_back_mat = R_back_mat
me.S_mat = S_mat
me.delta_increment_for_small_concs = delta_increment_for_small_concs
me.nvar = nvar
me.mu0 = mu0
me.gamma = gamma
me.num_rxns = Keq_constant.size
me.penalty_reward_scalar = penalty_reward_scalar
#%%
N, D_in, H, D_out = 1, Keq_constant.size, 20 * Keq_constant.size, 1
#create neural network
nn_model = torch.nn.Sequential(torch.nn.Linear(D_in, H), torch.nn.Tanh(),
torch.nn.Linear(H, D_out)).to(device)
loss_fn = torch.nn.MSELoss(reduction='sum')
#learning_rate=5e-6
#optimizer = torch.optim.SGD(nn_model.parameters(), lr=learning_rate, momentum=0.9)
optimizer = torch.optim.SGD(nn_model.parameters(),
lr=learning_rate,
momentum=0.9)
#optimizer = torch.optim.Adam(nn_model.parameters(), lr=3e-4)
scheduler = torch.optim.lr_scheduler.ReduceLROnPlateau(optimizer,
patience=200,
verbose=True,
min_lr=1e-10,
cooldown=10,
threshold=1e-5)
v_log_counts = v_log_counts_stationary.copy()
episodic_loss = []
episodic_loss_max = []
episodic_epr = []
episodic_reward = []
episodic_nn_step = []
episodic_random_step = []
epsilon_greedy_init = epsilon
final_states = np.zeros(Keq_constant.size)
final_KQ_fs = np.zeros(Keq_constant.size)
final_KQ_rs = np.zeros(Keq_constant.size)
epr_per_state = []
for update in range(0, updates):
x_changing = 1 * torch.rand(1000, D_in, device=device)
#generate state to use
state_sample = np.zeros(Keq_constant.size)
for sample in range(0, len(state_sample)):
state_sample[sample] = np.random.uniform(1, 1)
#annealing test
if ((update % eps_threshold == 0) and (update != 0)):
epsilon = epsilon / 2
print("RESET epsilon ANNEALING")
print(epsilon)
prediction_x_changing_previous = nn_model(x_changing)
#nn_model.train()
[sum_reward, average_loss,max_loss,final_epr,final_state,final_KQ_f,final_KQ_r, reached_terminal_state,\
random_steps_taken,nn_steps_taken] = me.sarsa_n(nn_model,loss_fn, optimizer, scheduler, state_sample, n_back_step, epsilon)
print("MAXIMUM LAYER WEIGHTS")
for layer in nn_model.modules():
try:
print(torch.max(layer.weight))
except:
print("")
print('random,nn steps')
print(random_steps_taken)
print(nn_steps_taken)
if (reached_terminal_state):
final_states = np.vstack((final_states, final_state))
final_KQ_fs = np.vstack((final_KQ_fs, final_KQ_f))
final_KQ_rs = np.vstack((final_KQ_rs, final_KQ_r))
epr_per_state.append(final_epr)
episodic_epr.append(final_epr)
episodic_loss.append(average_loss)
episodic_loss_max.append(max_loss)
episodic_reward.append(sum_reward)
episodic_nn_step.append(nn_steps_taken)
episodic_random_step.append(random_steps_taken)
scheduler.step(average_loss)
print("TOTAL REWARD")
print(sum_reward)
print("ave loss")
print(average_loss)
print("max_loss")
print(max_loss)
print(optimizer.state_dict)
print(scheduler.state_dict())
prediction_x_changing = nn_model(x_changing)
total_prediction_changing_diff = sum(
abs(prediction_x_changing - prediction_x_changing_previous))
print("TOTALPREDICTION")
print(total_prediction_changing_diff)
np.savetxt(cwd + '/TCA_PPP_GLYCOLYSIS_GOGAT/data/' +
'temp_episodic_loss_' + str(n_back_step) + '_lr' +
str(learning_rate) + '_' + str(eps_threshold) + '_eps' +
str(epsilon_greedy_init) + '_' + str(sim_number) +
'_penalty_reward_scalar_' + str(me.penalty_reward_scalar) +
'_use_experimental_metab_' +
str(int(use_experimental_data)) + '.txt',
episodic_loss,
fmt='%f')
np.savetxt(cwd + '/TCA_PPP_GLYCOLYSIS_GOGAT/data/' + 'temp_epr_' +
str(n_back_step) + '_lr' + str(learning_rate) + '_' +
str(eps_threshold) + '_eps' + str(epsilon_greedy_init) +
'_' + str(sim_number) + '_penalty_reward_scalar_' +
str(me.penalty_reward_scalar) + '_use_experimental_metab_' +
str(int(use_experimental_data)) + '.txt',
episodic_epr,
fmt='%f')
np.savetxt(cwd + '/TCA_PPP_GLYCOLYSIS_GOGAT/data/' +
'temp_episodic_reward_' + str(n_back_step) + '_lr' +
str(learning_rate) + '_' + str(eps_threshold) + '_eps' +
str(epsilon_greedy_init) + '_' + str(sim_number) +
'_penalty_reward_scalar_' + str(me.penalty_reward_scalar) +
'_use_experimental_metab_' +
str(int(use_experimental_data)) + '.txt',
episodic_reward,
fmt='%f')
if (update > 200):
if ((max(episodic_loss[-100:]) - min(episodic_loss[-100:]) < 0.025)
and (update > 350)):
break
#%%
#gamma9 -> gamma=0.9
#n8 -> n_back_step=8
#k5 -> E=E-E/5 was used
#lr5e6 -> begin lr=0.5*e-6
torch.save(nn_model, cwd+'/TCA_PPP_GLYCOLYSIS_GOGAT/models_final_data/'+
'complete_model_gly_tca_gog_gamma9_n'+str(n_back_step)+'_k5_'\
'_lr'+str(learning_rate)+
'_threshold'+str(eps_threshold)+
'_eps'+str(epsilon_greedy_init)+
'_penalty_reward_scalar_'+str(me.penalty_reward_scalar)+
'_use_experimental_metab_' +str(int(use_experimental_data))+
'_sim'+str(sim_number) + '.pth')
np.savetxt(cwd + '/TCA_PPP_GLYCOLYSIS_GOGAT/models_final_data/' +
'episodic_loss_gamma9_n' + str(n_back_step) + '_k5_'
'_lr' + str(learning_rate) + '_threshold' + str(eps_threshold) +
'_eps' + str(epsilon_greedy_init) + '_penalty_reward_scalar_' +
str(me.penalty_reward_scalar) + '_use_experimental_metab_' +
str(int(use_experimental_data)) + '_sim' + str(sim_number) +
'.txt',
episodic_loss,
fmt='%f')
np.savetxt(cwd + '/TCA_PPP_GLYCOLYSIS_GOGAT/models_final_data/' +
'episodic_loss_max_gamma9_n' + str(n_back_step) + '_k5_' +
'_lr' + str(learning_rate) + '_threshold' + str(eps_threshold) +
'_eps' + str(epsilon_greedy_init) + '_penalty_reward_scalar_' +
str(me.penalty_reward_scalar) + '_use_experimental_metab_' +
str(int(use_experimental_data)) + '_sim' + str(sim_number) +
'.txt',
episodic_loss_max,
fmt='%f')
np.savetxt(cwd + '/TCA_PPP_GLYCOLYSIS_GOGAT/models_final_data/' +
'episodic_reward_gamma9_n' + str(n_back_step) + '_k5_' + '_lr' +
str(learning_rate) + '_threshold' + str(eps_threshold) +
'_eps' + str(epsilon_greedy_init) + '_penalty_reward_scalar_' +
str(me.penalty_reward_scalar) + '_use_experimental_metab_' +
str(int(use_experimental_data)) + '_sim' + str(sim_number) +
'.txt',
episodic_reward,
fmt='%f')
np.savetxt(cwd+'/TCA_PPP_GLYCOLYSIS_GOGAT/models_final_data/'+
'final_states_gamma9_n'+str(n_back_step)+'_k5_'+
'_lr'+str(learning_rate)+
'_threshold'+str(eps_threshold)+
'_eps'+str(epsilon_greedy_init)+
'_penalty_reward_scalar_'+str(me.penalty_reward_scalar)+
'_use_experimental_metab_'+str(int(use_experimental_data))+
'_sim'+str(sim_number)+\
'.txt', final_states, fmt='%f')
np.savetxt(cwd+'/TCA_PPP_GLYCOLYSIS_GOGAT/models_final_data/'+
'final_KQF_gamma9_n'+str(n_back_step)+'_k5_'+
'_lr'+str(learning_rate)+
'_threshold'+str(eps_threshold)+
'_eps'+str(epsilon_greedy_init)+
'_penalty_reward_scalar_'+str(me.penalty_reward_scalar)+
'_use_experimental_metab_'+str(int(use_experimental_data))+
'_sim'+str(sim_number)+\
'.txt', final_KQ_fs, fmt='%f')
np.savetxt(cwd+'/TCA_PPP_GLYCOLYSIS_GOGAT/models_final_data/'+
'final_KQR_gamma9_n'+str(n_back_step)+'_k5_'+
'_lr'+str(learning_rate)+
'_threshold'+str(eps_threshold)+
'_eps'+str(epsilon_greedy_init)+
'_penalty_reward_scalar_'+str(me.penalty_reward_scalar)+
'_use_experimental_metab_'+str(int(use_experimental_data))+
'_sim'+str(sim_number)+\
'.txt', final_KQ_rs, fmt='%f')
np.savetxt(cwd + '/TCA_PPP_GLYCOLYSIS_GOGAT/models_final_data/' +
'epr_per_state_gamma9_n' + str(n_back_step) + '_k5_' + '_lr' +
str(learning_rate) + '_threshold' + str(eps_threshold) +
'_eps' + str(epsilon_greedy_init) + '_penalty_reward_scalar_' +
str(me.penalty_reward_scalar) + '_use_experimental_metab_' +
str(int(use_experimental_data)) + '_sim' + str(sim_number) +
'.txt',
epr_per_state,
fmt='%f')