Step 1: Understanding Graft Rejection Prevention
Tacrolimus is an immunosuppressive drug that prevents graft rejection by inhibiting T-cell activation, particularly by blocking calcineurin.
Step 2: Evaluating the Options
- Azathioprine: Inhibits purine synthesis, used for immunosuppression, but not as effective as tacrolimus for preventing graft rejection.
- Methotrexate: An antimetabolite that inhibits cell division, not primarily used for graft rejection prevention.
- Rapamycin: Inhibits mTOR, used in preventing organ rejection but not the first-line drug.
- Tacrolimus: Correct, tacrolimus is widely used to prevent organ rejection, particularly for kidney transplants.
Step 3: Conclusion
Tacrolimus is the drug of choice for preventing graft rejection.
A closed-loop system has the characteristic equation given by: $ s^3 + k s^2 + (k+2) s + 3 = 0 $.
For the system to be stable, the value of $ k $ is:
A digital filter with impulse response $ h[n] = 2^n u[n] $ will have a transfer function with a region of convergence.