2. The Ko fat binding of insulin to Its receptor on lever cells is 6 X 10^-10 M,
ID: 41227 • Letter: 2
Question
2. The Ko fat binding of insulin to Its receptor on lever cells is 6 X 10^-10 M, and the ambient blood concentration of insulin In liver tissue is 3 X 10^-12 M. A. What percent of Insulin receptors on these liver cells will have bound Insulin? (show calculation) B. If the insulin concentration increases 10-fold (to 3 X 10^-11 M), what percentage of insulin receptors on these liver cells will have bound insulin? (show calculation) C. What minimum concentration of insulin would be required to result in 99% of the receptors having bound insulin? (show calculation)Explanation / Answer
1)
Based on the given data,
The formula for calculation is:
R+H ---> RH
Where, R = insulin
H = insulin receptor
RH = is insulin and receptor complex
KD = (R) (H) / (RH)
This binding equation can be rewritten as:
(RH) / RT = 1 / 1+ (KD / (H))
Where, RT is the sum of free and bound receptors: [R] + [RH].
Substituting given values into above equation, we can calculate the fraction of receptors with bound hormone (RH):
(RH) / RT = 1 / 1+ (6×10-6 M/ (3×10-12 M))
(RH) / RT = 1
Thus about 1 percent of the total receptors will be filled with hormone.
2)
If the hormone concentration rises tenfold 3×10-11 M, the concentration of receptor-hormone complex will rise proportionately, so that about 10 percent of the total receptors would have bound hormone. If the induced cellular response is proportional to the amount of RH, as is often the case, then the cellular responses also will increase tenfold.
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