Step 1: Understanding the Mismatch Repair System
In E. coli, the mismatch repair system corrects errors that occur during DNA replication, specifically by recognizing the parent strand through methylation.
Step 2: Evaluating the Options
- Prenyl directed repair system: Not related to the mismatch repair system.
- Cysteine directed system: Incorrect, does not relate to mismatch repair.
- Mutated system: Incorrect, as the system is not considered mutated.
- Methyl directed system: Correct, the system uses methylation marks on the parent strand to identify and correct mismatches.
Step 3: Conclusion
The mismatch repair system in E. coli is methyl-directed, recognizing the parent strand by methylation.
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.