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Table 2 Regions of the state space reached by the continuous version of the Th model, as revealed by a large number of simulations starting from a random initial state. a

From: A method for the generation of standardized qualitative dynamical systems of regulatory networks

 

Th0

Th1

Th2

 

Avrg.

Std. Dev.

Avrg.

Std. Dev.

Avrg.

Std. Dev.

GATA3

0.00003

0.00008

0.00000

0.00000

0.99997

0.00007

IFN-β

0.00000

0.00000

0.00000

0.00000

0.00000

0.00000

IFN-βR

0.00000

0.00001

0.00000

0.00001

0.00000

0.00001

IFN-γ

0.00005

0.00013

0.71438

0.00059

0.00000

0.00001

IFN-γR

0.00004

0.00011

0.97169

0.00040

0.00001

0.00004

IL-10

0.00003

0.00007

0.00000

0.00001

0.99999

0.00004

IL-10R

0.00005

0.00010

0.00000

0.00001

0.99999

0.00002

IL-12

0.00000

0.00001

0.00000

0.00000

0.00000

0.00001

IL-12R

0.00000

0.00002

0.00000

0.00001

0.00000

0.00001

IL-18

0.00000

0.00001

0.00000

0.00000

0.00000

0.00001

IL-18R

0.00000

0.00002

0.00000

0.00001

0.00000

0.00001

IL-4

0.00002

0.00006

0.00000

0.00001

0.99995

0.00011

IL-4R

0.00002

0.00004

0.00000

0.00001

0.99990

0.00022

IRAK

0.00001

0.00005

0.00000

0.00003

0.00001

0.00004

JAK1

0.00002

0.00008

0.00487

0.00005

0.00001

0.00005

NFAT

0.00001

0.00003

0.00000

0.00002

0.00001

0.00003

SOCS1

0.00009

0.00022

0.89486

0.00037

0.00002

0.00006

STAT1

0.00001

0.00005

0.00051

0.00003

0.00002

0.00005

STAT3

0.00012

0.00023

0.00001

0.00002

1.00000

0.00002

STAT4

0.00001

0.00003

0.00000

0.00003

0.00000

0.00001

STAT6

0.00001

0.00004

0.00000

0.00002

0.99990

0.00023

T-bet

0.00007

0.00018

0.89485

0.00036

0.00000

0.00000

TCR

0.00000

0.00001

0.00000

0.00000

0.00000

0.00001

  1. a. Only three regions of the activation space were found in the continuous Th model after running it from 50,000 different random initial states. The average and standard deviations of all the results are shown. All variables had a random initial state in the closed interval [0,1]. From the 50,000 simulations, 8195 (16.39%) converged to the Th0 state, 25575 (51.15%) to the Th1 state, and 16230 (32.46%) to the Th2 state. Bold numbers as in Table 1.