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For all the questions below, use the parameters µ = ω = χprot = χrna = 1 s−1 and K1/2 = 0.33mM.1. (a) Implement the Forward Euler approach to integrating this system to determine theconcentration of...

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For all the questions below, use the parameters µ = ω = χprot = χrna = 1 s
−1 and K1/2 = 0.33
mM.
1. (a) Implement the Forward Euler approach to integrating this system to determine the
concentration of both RNA and protein over time. Use a total time of 20 s and a
time step of 0.01 s, and an initial concentration of 0.5 mM for both RNA and protein.
Plot the concentrations as a function of time.
(b) Rerun the simulation from (a), but using an initial protein concentration of 0.2 mM
and an initial RNA concentration of 0 mM.
(c) Rerun the simulation from (a), but using an initial protein concentration of 0.5 mM
and an initial RNA concentration of 0 mM.
(d) Rerun the simulation from (a), but using an initial protein concentration of 0 mM
and an initial RNA concentration of 0.2 mM.
(e) Rerun the simulation from (a), but using an initial protein concentration of 0 mM
and an initial RNA concentration of 0.5 mM.
(f) Discuss your observations.
Answered Same Day Feb 11, 2023

Solution

Baljit answered on Feb 12 2023
32 Votes
1.
a)
)
c)
d)
e)
f) Whenever there is initial value of Xrna is zero then its all value with respect to time are near to zero but when initial Xprot=0 but it gains some values when varies with time.So we can say that Xprot do not affect Xrna but Xrna affect Xprot.This is because we know that rna produce protein .And protein comes after rna.
2.
)
SS
c) Value of protein is increase...
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