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Table 3 Values of the parameters needed to determine the infinitesimal generator (Q) using 4 normal cell lines, where \(d_{i} = 1- \sum _{j=1}^{N} \left (p_{{ij}}^{+} + p_{{ij}}^{-}\right)\)

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

 

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

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

μi

di

 

CEBPA

4

1.18489

3

0.333

 

E2F1

4

1.79118

3

0.333

 

FOXM1

4

2.78510

2

0.5

 

c-MYC

5

6.70809

3

0.333

 

hTERT

5

6.07682

1

1

 

Normal: Activation/transcription processes (\(p_{{ij}}^{+}\))

 

CEBPA

E2F1

FOXM1

c-MYC

hTERT

CEBPA

0

0

0

0

0

E2F1

0

0

0

0.333

0

FOXM1

0

0

0

0.5

0

c-MYC

0

0

0

0

0.333

hTERT

0

0

0

0

0

Normal: Repression process (\(p_{{ij}}^{-}\))

 

CEBPA

E2F1

FOXM1

c-MYC

hTERT

CEBPA

0

0.333

0.333

0

0

E2F1

0

0

0

0

0.333

FOXM1

0

0

0

0

0

c-MYC

0.333

0

0

0

0

hTERT

0

0

0

0

0

  1. The “service” (or firing) rate of gene i, denoted by μi, represents the protein–protein interactions, e.g., phosphorylation and ubiquitination. Gene i activates and inhibits gene j with probability \(p_{{ij}}^{+}\) and \(p_{{ij}}^{-}\), respectively. Genes in the rows correspond to the “starting” genes, while those in columns to the ending genes