Problem 6.1 A protein, shown schematically in Figure 6.28, may contain several c
ID: 213611 • Letter: P
Question
Problem 6.1
A protein, shown schematically in Figure 6.28, may contain several cysteines (represented as light gray balls), which may pair together to form disulfide bonds. For six cysteines, three disulfide bonds can form; the figure shows the pairing arrangement 1-6, 2-5, 3-4. How many different disulfide pairing arrangements are possible?
Derive the general formula for the number of different pairing arrangements when there are n cysteines (and n is even).
Explanation / Answer
Since there are Six Cysteines and a disulphide bond is formed between two cysteine residues.
So for Six cysteines ,
The possible number of disulphide bond arrangement is (n-1)+ (n-2) + (n-3) + (n-4) + (n-5) where n is the number of cysteines residue.
So for 6 cysteines.
possible Number of disulphide bond arrangement is
i.e = 5 +4+3+2+1 = 15
So a general formulae can be summation of ( N-n) terms, where N = number of cysteines and
n= 1 to N-1.