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Table 1 Optimization methods with additional constraints

From: Predicting internal cell fluxes at sub-optimal growth

Method

Enzymatic cost

Constraint

FBAwMC [44]

\(\sum a_{i}J_{i}\)

≤1

MOMENT [46]

\(\sum g_{i}\cdot {MW}_{i}\)

≤C

Tepper et al. [47]

\(\sum M_{i} + \delta \cdot \sum g_{i}\)

minimize

Shlomi et al. [49]

\(\sum \frac {{MW}_{i}J_{i}}{k_{{cat}_{i}}}\)

≤C

Holzhütter [28]

\(\sum J_{i}^{+} + k_{{eq}_{i}}\cdot {J_{i}^{-}}\)

minimize

corsoFBA

\(\sum J_{i}{\cdot }{MW}_{i}{\cdot }exp\left ({\frac {\alpha \cdot \Delta _{r}{G^{\prime }}_{i}^{o}}{R\cdot {}T}}\right)\)

minimize

Variables

a - crowding coefficient

J - flux through the reaction

g - enzyme concentration

MW - molecular weight of associated enzyme

M - metabolite levels

δ - model parameter

k cat - turnover number

k eq - thermodynamic equilibrium constant

C - fraction of dry weight mass associated with proteins

  1. These methods calculate an overall cost through the metabolism by summing individual costs associated with each reaction. While previous methods have been used to constrain the FBA solution, corsoFBA optimizes this cost for any given growth rate.