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Table 3 Lower and upper bounds of the domain for the G1/S model given by the ISP LOLAS trend based on bound limit ƃlimit

From: Novel domain expansion methods to improve the computational efficiency of the Chemical Master Equation solution for large biological networks

Z

Bound(Z)lower

Bound(Z)upper

States

Duration

1

Bound(1)lower = {X0}

formed at t= 0.0 sec

Approximation = 1

Bound(1)upper = {X0, 1, 2…..9808}

formed at t= 0.1 sec

Approximation = 0.999999867

9808

0.0 – 0.1 sec

ƃlimit = 1, count(ƃlimit) = 0, 1,

2

Bound(2)lower = Bound(1)upper

formed at t= 0.1 sec

Approximation = 0.999999847

Bound(2)upper = {X0, 1, 2…..87393}

formed at t= 0.2 sec

Approximation = 0.999999173

87393

0.1 – 0.2 sec

ƃlimit = 1, count(ƃlimit) = 0, 1

3

Bound(3)lower = Bound(2)upper

formed at t= 0.4 sec

Approximation = 0.999999157

Bound(3)upper = {X0, 1, 2…..604677}

formed at t= 0.5 sec

Approximation = 0.99999701

604677

0.4 – 0.5 sec

ƃlimit = 1, count(ƃlimit) = 0, 1

4

Bound(4)lower = Bound(3)upper

formed at t= 1.1 sec

Approximation = 0.99999699

Bound(4)upper = {X0, 1, 2…..3409899}

formed at t= 1.5 sec

Approximation = 0.99999648

3409899

1.1 – 1.5 sec

ƃlimit = 1, count(ƃlimit) = 0, 1