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Calculation of Fractional Saturation of Protein in GDP/GTP

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Guanyl nucleotide regulatory proteins (N) alter cell function based on the type of guanyl nucleotide occupying the nucleotide site on the protein. The affinity of this site for guanyl nucleotides is to a certain extent under hormonal control. Given a Ka of the site for guanyl nucleotides of 3 x 10^7 M in the presence of hormone please calculate the following:

(a) The fractional saturation of N ( Noccupied/Ntotal) when GDP is 0.4 μM. Assume that nucleotide concentration is unaffected by the reaction (GDP is constant).

(b) The fractional saturation of N (Noccupied/Ntotal) when GTP is 1 μM. Assume that the nucleotide concentration is unaffected by the reaction (GTP is constant)

(c) The fractional saturation of N (Noccupied/Ntotal) for GTP and GDP when they are both present at their above (constant) concentrations.

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The fractional saturation of a protein in the presence of GDP and GTP is calculated given concentration and Ka values.

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Unless otherwise noted, assume that:
T=25°C
R= 1.99 cal mol^-1 deg^-1
Faraday's Constant= 23,062 cal volt^-1 equiv ^-1
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