Flux Analysis of the Trypanosoma brucei Glycolysis Based on a Multiobjective-Criteria Bioinformatic Approach
Figure 2
Illustration of the dynamics of a Flux Petri Net (FPN). (a) depicts the initial state of the FPN, while (b)–(d) depict its states after three transitions have been fired. This FPN comprises five places () and three transitions (). The transition consumes three tokens of , produces one token of , and has an associated flux distribution of 5%. Similarly, transition consumes one token of , produces one token of , two tokens of , and has an associated flux of 90%. In the initial state (a), the place contains five tokens, colored differently to be distinguishable. Since requires three tokens of , requires one token of , two tokens of ; that contains five tokens; the three transitions , , and are enabled in this configuration. The corresponding probabilities for each transition are , and . Suppose we select with probability 0.05, then three tokens of p1 are consumed and one token of is produced through . In the second state (b), only and are enabled, since the required number of tokens for in is not satisfied. This time, the respective probabilities associated with and are given by , and . Suppose is selected, it consumes one token of and produces one token of and two of . In the third state (c), only transition is enabled, and the FPN reaches a state (d) after firing where no transition is enabled.