def lmoma(model, reference=None, cache=None, reactions=None, *args, **kwargs):
"""Linear Minimization Of Metabolic Adjustment [1].
Parameters
----------
model: cobra.Model
reference: FluxDistributionResult, dict
cache: ProblemCache
reactions: list
Returns
-------
FluxDistributionResult
Contains the result of the solver.
References
----------
.. [1] Becker, S. A., Feist, A. M., Mo, M. L., Hannum, G., Palsson, B. Ø., & Herrgard, M. J. (2007).
Quantitative prediction of cellular metabolism with constraint-based models: the COBRA Toolbox.
Nature Protocols, 2(3), 727–38. doi:10.1038/nprot.2007.99
"""
volatile = False
if cache is None:
volatile = True
cache = ProblemCache(model)
cache.begin_transaction()
if not isinstance(reference, (dict, pandas.Series, FluxDistributionResult)):
raise TypeError("reference must be a flux distribution (dict or FluxDistributionResult")
try:
for rid, flux_value in six.iteritems(reference):
reaction = model.reactions.get_by_id(rid)
def create_variable(model, var_id, lb):
var = model.solver.interface.Variable(var_id, lb=lb)
return var
pos_var_id = "u_%s_pos" % rid
cache.add_variable(pos_var_id, create_variable, None, 0)
neg_var_id = "u_%s_neg" % rid
cache.add_variable(neg_var_id, create_variable, None, 0)
# ui = vi - wt
def update_upper_constraint(model, constraint, var, reaction, flux_value):
if constraint.lb != flux_value:
constraint.lb = flux_value
def create_upper_constraint(model, constraint_id, var, reaction, flux_value):
constraint = model.solver.interface.Constraint(reaction.flux_expression + var,
lb=flux_value,
sloppy=True,
name=constraint_id)
return constraint
cache.add_constraint("lmoma_const_%s_ub" % rid, create_upper_constraint, update_upper_constraint,
cache.variables[pos_var_id], reaction, flux_value)
def update_lower_constraint(model, constraint, var, reaction, flux_value):
if constraint.ub != flux_value:
constraint.ub = flux_value
def create_lower_constraint(model, constraint_id, var, reaction, flux_value):
constraint = model.solver.interface.Constraint(reaction.flux_expression - var,
ub=flux_value,
sloppy=True,
name=constraint_id)
return constraint
cache.add_constraint("lmoma_const_%s_lb" % rid, create_lower_constraint, update_lower_constraint,
cache.variables[neg_var_id], reaction, flux_value)
def create_objective(model, variables):
return model.solver.interface.Objective(add([mul((One, var)) for var in variables]),
direction="min",
sloppy=False)
cache.add_objective(create_objective, None, cache.variables.values())
solution = model.optimize(raise_error=True)
if reactions is not None:
result = FluxDistributionResult(
{r: solution.get_primal_by_id(r) for r in reactions}, solution.objective_value)
else:
result = FluxDistributionResult.from_solution(solution)
return result
except Exception as e:
cache.rollback()
raise e
finally:
if volatile:
cache.reset()
def lmoma(model, reference=None, cache=None, reactions=None, *args, **kwargs):
"""Linear Minimization Of Metabolic Adjustment [1].
Parameters
----------
model: cobra.Model
reference: FluxDistributionResult, dict
cache: ProblemCache
reactions: list
Returns
-------
FluxDistributionResult
Contains the result of the solver.
References
----------
.. [1] Becker, S. A., Feist, A. M., Mo, M. L., Hannum, G., Palsson, B. Ø., & Herrgard, M. J. (2007).
Quantitative prediction of cellular metabolism with constraint-based models: the COBRA Toolbox.
Nature Protocols, 2(3), 727–38. doi:10.1038/nprot.2007.99
"""
volatile = False
if cache is None:
volatile = True
cache = ProblemCache(model)
cache.begin_transaction()
if not isinstance(reference, (dict, pandas.Series, FluxDistributionResult)):
raise TypeError("reference must be a flux distribution (dict or FluxDistributionResult")
try:
for rid, flux_value in six.iteritems(reference):
reaction = model.reactions.get_by_id(rid)
def create_variable(model, var_id, lb):
var = model.solver.interface.Variable(var_id, lb=lb)
return var
pos_var_id = "u_%s_pos" % rid
cache.add_variable(pos_var_id, create_variable, None, 0)
neg_var_id = "u_%s_neg" % rid
cache.add_variable(neg_var_id, create_variable, None, 0)
# ui = vi - wt
def update_upper_constraint(model, constraint, var, reaction, flux_value):
if constraint.lb != flux_value:
constraint.lb = flux_value
def create_upper_constraint(model, constraint_id, var, reaction, flux_value):
constraint = model.solver.interface.Constraint(reaction.flux_expression + var,
lb=flux_value,
sloppy=True,
name=constraint_id)
return constraint
cache.add_constraint("lmoma_const_%s_ub" % rid, create_upper_constraint, update_upper_constraint,
cache.variables[pos_var_id], reaction, flux_value)
def update_lower_constraint(model, constraint, var, reaction, flux_value):
if constraint.ub != flux_value:
constraint.ub = flux_value
def create_lower_constraint(model, constraint_id, var, reaction, flux_value):
constraint = model.solver.interface.Constraint(reaction.flux_expression - var,
ub=flux_value,
sloppy=True,
name=constraint_id)
return constraint
cache.add_constraint("lmoma_const_%s_lb" % rid, create_lower_constraint, update_lower_constraint,
cache.variables[neg_var_id], reaction, flux_value)
def create_objective(model, variables):
return model.solver.interface.Objective(add([mul((One, var)) for var in variables]),
direction="min",
sloppy=False)
cache.add_objective(create_objective, None, cache.variables.values())
solution = model.optimize(raise_error=True)
if reactions is not None:
result = FluxDistributionResult({r: solution.get_primal_by_id(r) for r in reactions}, solution.f)
else:
result = FluxDistributionResult.from_solution(solution)
return result
except Exception as e:
cache.rollback()
raise e
finally:
if volatile:
cache.reset()
def moma(model, reference=None, cache=None, reactions=None, *args, **kwargs):
"""
Minimization of Metabolic Adjustment[1]
Parameters
----------
model: cobra.Model
reference: FluxDistributionResult, dict
cache: ProblemCache
reactions: list
Returns
-------
FluxDistributionResult
Contains the result of the solver.
References
----------
.. [1] Segrè, D., Vitkup, D., & Church, G. M. (2002). Analysis of optimality in natural and perturbed metabolic
networks. Proceedings of the National Academy of Sciences of the United States of America, 99(23), 15112–7.
doi:10.1073/pnas.232349399
"""
volatile = False
if cache is None:
volatile = True
cache = ProblemCache(model)
cache.begin_transaction()
try:
for rid, flux_value in six.iteritems(reference):
def create_variable(model, variable_id):
var = model.solver.interface.Variable(variable_id)
return var
var_id = "moma_aux_%s" % rid
cache.add_variable(var_id, create_variable, None)
def create_constraint(model, constraint_id, var, reaction, flux_value):
constraint = model.solver.interface.Constraint(reaction.flux_expression - var,
lb=flux_value,
ub=flux_value,
name=constraint_id)
return constraint
def update_constraint(model, constraint, var, reaction, flux_value):
if constraint.lb != flux_value:
constraint.lb = flux_value
constraint.ub = flux_value
constraint_id = "moma_const_%s" % rid
reaction = model.reactions.get_by_id(rid)
cache.add_constraint(constraint_id, create_constraint, update_constraint,
cache.variables[var_id], reaction, flux_value)
def create_objective(model, variables):
return model.solver.interface.Objective(Add(*[FloatOne * var ** 2 for var in variables]),
direction="min",
sloppy=True)
cache.add_objective(create_objective, None, cache.variables.values())
solution = model.optimize(raise_error=True)
if reactions is not None:
result = FluxDistributionResult(
{r: solution.get_primal_by_id(r) for r in reactions}, solution.objective_value)
else:
result = FluxDistributionResult.from_solution(solution)
return result
except Exception as e:
cache.rollback()
raise e
finally:
if volatile:
cache.reset()
def moma(model, reference=None, cache=None, reactions=None, *args, **kwargs):
"""
Minimization of Metabolic Adjustment[1]
Parameters
----------
model: cobra.Model
reference: FluxDistributionResult, dict
cache: ProblemCache
reactions: list
Returns
-------
FluxDistributionResult
Contains the result of the solver.
References
----------
.. [1] Segrè, D., Vitkup, D., & Church, G. M. (2002). Analysis of optimality in natural and perturbed metabolic
networks. Proceedings of the National Academy of Sciences of the United States of America, 99(23), 15112–7.
doi:10.1073/pnas.232349399
"""
volatile = False
if cache is None:
volatile = True
cache = ProblemCache(model)
cache.begin_transaction()
try:
for rid, flux_value in six.iteritems(reference):
def create_variable(model, variable_id):
var = model.solver.interface.Variable(variable_id)
return var
var_id = "moma_aux_%s" % rid
cache.add_variable(var_id, create_variable, None)
def create_constraint(model, constraint_id, var, reaction, flux_value):
constraint = model.solver.interface.Constraint(reaction.flux_expression - var,
lb=flux_value,
ub=flux_value,
name=constraint_id)
return constraint
def update_constraint(model, constraint, var, reaction, flux_value):
if constraint.lb != flux_value:
constraint.lb = flux_value
constraint.ub = flux_value
constraint_id = "moma_const_%s" % rid
reaction = model.reactions.get_by_id(rid)
cache.add_constraint(constraint_id, create_constraint, update_constraint,
cache.variables[var_id], reaction, flux_value)
def create_objective(model, variables):
return model.solver.interface.Objective(Add(*[FloatOne * var ** 2 for var in variables]),
direction="min",
sloppy=True)
cache.add_objective(create_objective, None, cache.variables.values())
solution = model.optimize(raise_error=True)
if reactions is not None:
result = FluxDistributionResult({r: solution.get_primal_by_id(r) for r in reactions}, solution.f)
else:
result = FluxDistributionResult.from_solution(solution)
return result
except Exception as e:
cache.rollback()
raise e
finally:
if volatile:
cache.reset()