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Next, a linear model of flux distribution at steady state is constructed and linear programming used to identify maximal possible flux through selected reactions in the network.
For each IEM, we deleted the corresponding metabolic reaction(s) and computed the maximal possible flux value for each metabolic task.
Interestingly, we observed a 2-fold elevation in maximal possible flux values for the secretion of cholesterol esters, and triglycerides when the model was provided with the average American diet compared to the balanced diet.
Additionally flux variability analysis (FVA) was performed, which gives the minimal and maximal possible flux through a reaction, when observing all possible flux distributions that fulfill the given constraints (for further explanations see [ 10]).
Separately for each unknown reaction r i we search for the minimal possible flux and for the maximal possible flux that a reaction can carry in any flux distribution that is consistent with the constraints (1 - 3).
Here, the minimal and maximal possible flux that a reaction can have in any flux distribution that is consistent with Equation (3) is calculated separately for each unknown reaction r u, i,.
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Additionally, the maximal possible secretion flux values for cholesterol and glucose were 4- and 3-fold higher, respectively, in the average American diet than in the balanced diet.
We investigated the metabolite exchanges between mouse and B. thetaiotaomicron, by determining the minimal and maximal possible exchange flux values, while simulating growth on high-protein, high-fat and Western diets.
To identify dietary components, for which the two organisms compete, we compared the minimal and maximal possible exchange flux values for the exchange reactions between B. thetaiotaomicron/mouse and the lumen.
Furthermore, as mentioned above, even for the EMCoA pathway we could not determine a unique RubisCO flux and discussed instead the minimal possible flux (which is zero) whereas the maximal rate is non-zero.
In general, the germfree mouse was predicted to have higher secretion fluxes for metabolites containing carbon, nitrogen, and sulfur, as its maximal possible growth rate was limited by availability of essential amino acids in absence of the microbe.
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