In: Biology
a.
Derepressed mutants will allow the increased expression of the
repressor. Hence for activation of the operon, more concentration
of Thr (threonine) is required. Because, Thr will bind to the
repressor and will not allow it to bind to the operator and hence
operon will be ON. However, in the derepressed mutant presence of
the more repressor will require more concentration of Thr to keep
it ON state as compared to the wild type.
b.
Cysteine side chain has a isoelectric pH of the 8.37, at pH above
8.3 cysteine will have negative change. Operator is the DNA and
hence it is negatively charges. Therefore, negative charge of the
repressor at pH 8 will not allow the binding of the repressor to
the negatively charged operator DNA.
c.
Transcription will be increased at increasing pH above 8. As
explained in b, presence of negative charge of the
repressor will not allows the binding of repressor to the operator
DNA. Therefore, their will be no hurdle for the movement of the RNA
polymerase on the DNA.
d.
More than 50% will bind to the operator DNA, because at pH 6.3 charge on the repressor will be same as that at pH 6.1. Isoelectric pH of the cysteine side chain is 8.3. Therefore, for all the pH below 8.3 cysteine will have the same charge. The charge on the cysteine side chain at pH below 8.3 would be neutral because -SH group will not be protonated further to add positive charge. Hence, the total charge of the repressor at pH below 8.3 will be decided by protonation and deprotonation state by other charged amino acids present. However, at pH above 8.3 cysteine add negative charge to the total charge of protein.