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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