Assume that the translational error frequency, 8, is 1 × 10-4.(a) Calculate the probability of making a perfect protein of 100residues.(b) Repeat for a 1000-residue protein.

Answered: Assume that the translational error…

Biochemistry

9th Edition

ISBN:9781319114671

Author:Lubert Stryer, Jeremy M. Berg, John L. Tymoczko, Gregory J. Gatto Jr.

Publisher:Lubert Stryer, Jeremy M. Berg, John L. Tymoczko, Gregory J. Gatto Jr.

Chapter1: Biochemistry: An Evolving Science

Section: Chapter Questions

Problem 1P

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Question

Assume that the translational error frequency, 8, is 1 × 10-4.
(a) Calculate the probability of making a perfect protein of 100
residues.
(b) Repeat for a 1000-residue protein.

Expert Solution

Step 1

The translation is the process of making a polypeptide chain from mRNA. The translation is catalyzed by several proteins, tRNA, and ribosomes.

Step 2

According to the question, the error rate for translation is 1*10^-4, meaning that the translation machinery makes one error per 10,000 amino acids incorporated.

a. The given peptide has 100 residues.

$For every 10000 amino acids - 1 error is made therefore, for 100 residues - \frac{1}{10000} \times 100 = 0.01 errors will be made . The probability of getting a erroneous protein of length 100 residues will be 0.01 . Hence, the pobability of getting an error - free protein will be 1 - 0.01 = 0.99 or 99 %$

b. The given peptide has 1000 residues

$For every 10000 amino acids - 1 error is made therefore, for 1000 residues - \frac{1}{10000} \times 1000 = 0.1 errors will be made . The probability of getting a erroneous protein of length 100 residues will be 0.1 . Hence, the pobability of getting an error - free protein will be 1 - 0.1 = 0.9 or 90 %$