Recent content by cascadeless

  1. C

    Understanding Negative Feedback Systems: Equations, Dynamics, and Activation

    No one any suggestions or ideas/thoughts? :)
  2. C

    Understanding Negative Feedback Systems: Equations, Dynamics, and Activation

    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...
  3. C

    Compute steady states of gene expression

    Ah, now I see, later I have $$x min^{-1} \cdot y min$$ and it cancels to x*y. Thank you!
  4. C

    Compute steady states of gene expression

    Meaning that I should calculate further with α = 10, right?
  5. C

    Compute steady states of gene expression

    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...
  6. C

    Compute steady states of gene expression

    Thank you guys so much, you helped me a lot!
  7. C

    Compute steady states of gene expression

    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...
  8. C

    Compute steady states of gene expression

    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...
  9. C

    Compute steady states of gene expression

    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}...
  10. C

    Compute steady states of gene expression

    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...
  11. C

    Compute steady states of gene expression

    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...