Research Article

Simultaneous Parameters Identifiability and Estimation of an E. coli Metabolic Network Model

Box 1

Sequence proposed for modeling metabolic systems, based on Wiechert and Graaf [35] and Steuer and Junker [1].
(1) Obtain all possible reactions
How? From database sources, a set of all possible reactions must be obtained.
Difficulties: Databases may not contain all the possible reactions involved. Biological knowledge is required.
(2) Collect experimental data
How? Experimental data can be obtained from the literature for similar systems or from laboratory experiments.
Difficulties: Hard to found literature data, or reported data very scarce. Laboratory experiments are
time and money consuming.
(3) Obtain the reactions that seems to occur
How? From experimental data, apply topological Analysis (TA) and Flux Balance Analysis (FBA), which demands
optimization but no parameters estimation.
Difficulties: The obtained results from the techniques TA and FBA above are not unique. Specific biological knowledge about
the system is required.
(4) Propose kinectic models
How? Typically, it is proposed expressions similar to Michaellis Menten kinetics or law of mass actions. Databases with typical
kinetic expressions can be useful.
Difficulties: Databases can not contain reactions involved. The modfications on Michalis Menten expressions can lead to
combinatorial explosion of possible models.
(5) Obtain initial parameters estimates
How? In the same databases from the previous step or from literature review for similar systems, an initial parameters
estimation can be obtained.
Difficulties: Here is one of the most difficult steps. In some cases, one can have no idea of possible parameters values.
(6) Employ parameters identification technique
Objective? Verify the most influence parameters.
Difficulties: Implement such methodologies. Also, different techniques can result in non unique results. Many can be very
influenced by the initial parameters estimation.
(7) Evaluate the results
If the results are satisfactory, then stop the procedure. Otherwise, perform Optimal Experimental Design.
Difficulties: It is very difficult to estabilish when is desirable to stop. Specially because the satisfactory parameters
uncerainties evaluation will demand an unfeasible number of experiments.
(8) Employ optimal experimental design
Objective? Obtain experimental regions for better parameters estimation or models discrimination. Return to Step  (2).
Difficulties: Implement a methodology described in the literature.