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Each extreme pathway of core carbon metabolism was scaled to its maximum possible flux based on the maximum value of the uptake reactions (v max ) given in [ 15].
Combining the qualitative and quantitative descriptions for metabolic networks makes it possible to design a viable strain and accurately predict the maximum possible flux rates of desired products.
However, the minimum set of enzymes (or corresponding genes) in a metabolic system that should be manipulated to obtain a viable strain under the situation of producing the maximum possible flux or yield of a desired final product remains unclear.
$$\end{documentt} ∀ j such that c j < 1 → v j U, R = v j U, U R ⋅ c j 5 v j L, R = v j L, U R ⋅ c j 6 Note that the updated lower bound is non-zero only for reversible reactions, effectively lowering the maximum possible flux value in the reverse direction.
Flux balance analysis (FBA) is a well-established optimization procedure [ 37] used to determine the maximum possible flux through a particular reaction in the network based on the constraints on the network (Equations 2 and 3) without the need for kinetic parameters.
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In this case, the obtained maximum possibility flux vector is fully possible.
The maximum possible water flux through a FO membrane used in a desalination application is proportional to LN πd/πf), where πd and πf are the osmotic pressures of the draw solution and the saline feed water, respectively.
These provide a much more informative flux estimation than a point-wise one, such as the maximum possibility flux vector, or the interval of minimum-maximum possible values in [ 38].
Briefly, the optimal value of the objective function was calculated by FBA simulation; then, with the objective function fixed at the optimal value, for each reaction the maximum and minimum possible fluxes were computed.
Flux variability analysis (FVA) was carried out as described in [ 21] by first determining the flux through the BOF using FBA, then determining the maximum and minimum possible fluxes through each of the reactions in the network, while the BOF is fixed at the FBA optimum, using equations (4) and (5) below.
The simplest outcome of a PMFA problem is a point-wise flux estimation: the minimum-cost (maximum possibility) flux vector.
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