We express such equations by $$\frac{dx}{dt} = \beta - \gamma \cdot x$$, t denotes the time.
In this case, γ depends on x, thus the dynamic equation should probably be:
$$\frac{dx}{dt} = \beta - \gamma(x) \cdot x$$
1. Setting the equation to 0 leads to two different cases:
If x < K: xST = γlow...
I have just a stupid other question, which is not worth to create a new thread.
It is just a notation issue and I'm not quite sure, it says:
"The degradation rate of an activator is $$\alpha = 10min^{-1}$$"
So, do I have to calculate further with alpha=10 or alpha=1/10?
Actually I was pretty...
Okay, thank you very much.
Now I have another question due to 3:
"At t=3 hours the bacteria gets a signal that cases the protein X to become unstable with half-life of 10 min."
I would say that alpha changes when the protein becomes unstable. Does that mean, that alpha is now (1/20 was the...
I am still confused with the description: "A bacteria that normally divides every 20 minutes express gene X. The production rate of protein X is 5nM/min. The protein is stable and does not degrade."
When a bacteria B express a gene X, then is B a repressor of X, no? Shouldn't then be the...
Unfortunately, I am not able to edit my post above, and I've noticed another bug in the degradation/dilution rate formula, I am sorry. Here are the correct equations:
Homework Equations
$$\beta ... \text{production rate}$$
• Degradation/dilution rate in units of 1/time
$$\alpha = \alpha_{dil}...
Thanks a lot for your reply. Oh yes, Y is X, sorry. The book denotes it as Y and the assignment as X. The second steady state would then be 1200, however, I'm not sure if my simulation is ok, looks weird to me. To be honest, I am not really able to provide you more background, it is just a...
Homework Statement
A bacteria that normally divides every 20 minutes express gene X. The production rate of protein X is 5nM/min. The protein is stable and does not degrade.
What is the concentration of X in the steady state?The same bacteria enter into a stress state at t=0 for 3 hours...