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Table 2 Procedure FindPath

From: Inferring branching pathways in genome-scale metabolic networks

FindPath(G, P, vΔ, U, w, k, l):

Input: atom graph G, current pathway P, source node vΔ, unresolved nodes U, 0 <w ≤ 1 and k, l +

1:

Add edges (v u , v U ) for each u U to G

2:

Q ← FindKShortestSimpleAtomPaths(G, k, vΔ, v U )

3:

Remove edges (v u , v U ) for each u U from G

4:

for all Q Q do

5:

   P' ← {r Γ-1 (q)|q Q} % Reactions involved with atom path Q

6:

   if Z O (P P', S, T) ≥ w and |P P'| <l then

7:

      Found a solution pathway P P'

8:

   U'

9:

   for all u U do

10:

      v ← FindPathStart(P', u)

11:

      if vvΔ then

12:

         U'U' {v}

13:

   if U' then

14:

      FindPath(G, P P', vΔ, U', w, k, l)