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Table 2 Vocabulary and notation for application of G-Networks to Gene Regulatory Networks

From: Analysis of two mechanisms of telomere maintenance based on the theory of g-Networks and stochastic automata networks

Biology

G-Networks

Notation

Gene

Node where customers are stored

i

Signals/notch in the scale of the gene activity information [19]

Positive/negative customers

 

mRNA expression level

The number of positive customers

xi

Translation / protein bursting

Arrival rate of positive customers from the outside of the system

\(\lambda _{i}^{+}\)

Degradation

Arrival rate of negative customers from the outside of the system

\(\lambda _{i}^{-}\)

Activation / transcription

Transition probabilities of positive customers

\(p_{{ij}}^{+}\)

Repression

Transition probabilities of negative customers

\(p_{{ij}}^{-}\)

Signals not influencing the gene activity

Customers that exit the system

di

Protein-protein interaction

Service rate

μi

  1. The first and second columns contain biological and G-Networks terminologies of gene regulation, respectively. The third column includes the corresponding notations used in this study. The subscript i indicates the ith gene