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A reaction of scope distance one can use the nutrients as its only substrates, a reaction of scope distance two can use products of reactions at scope distance at most one, and so on.
(See Methods for a more detailed explanation of this scope distance).
It indicates that reactions associated in R89\R1 generally have smaller scope distance than other reactions.
To illustrate this property with concrete examples, we determined which FCSs in R89\R1 involved any of the 24 reactions occurring at scope distance 1 in Figure 4b.
These FCSs are linear pathways containing reactions of scope distance 1, 2, 3 and 4; they metabolize the nutrients fucose, rhamnose and 3-hydroxycinnamic acid.
For each reaction, we have designated the minimum of the 89 distances obtained for the 89 different environments as the scope distance of that reaction from the nutrient metabolites.
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We applied this algorithm to compare the scope distances of reactions in R89\R1 to the scope distances of all reactions in our universe of reactions.
We then considered the scope distances of reactions from nutrient metabolites for two choices of reaction sets.
The scope distances for the reactions in R89\R1 are clearly concentrated at much smaller values than when considering all possible reactions.
There is a great deal of scope for distance as well.
The closer the target is in comparison to the scopes set distance, the more the dials will have to be turned.
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