What direction does the Lineweaver-Burk plot shift due to positive allosteric ligands?

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The Lineweaver-Burk plot, which is a double-reciprocal plot of the Michaelis-Menten equation, is utilized to determine important kinetic parameters of enzyme-catalyzed reactions, including the maximum reaction velocity (Vmax) and the Michaelis constant (Km). When a positive allosteric ligand binds to an enzyme, it enhances the enzyme's activity, often leading to an increase in the apparent Vmax and a decrease in the apparent Km.

A positive allosteric ligand stabilizes the active form of the enzyme, thereby increasing the rate at which the enzyme converts substrate to product. In the context of the Lineweaver-Burk plot, as Vmax increases, the y-intercept (which is equal to 1/Vmax) decreases, leading to a downward shift of the line. Additionally, since the effective Km decreases when an allosteric activator is present, this means the x-intercept (which is equal to -1/Km) increases, thus shifting the plot to the left.

Therefore, the correct answer reflects that the Lineweaver-Burk plot shifts to the left due to the combined effects of the reduced apparent Km and the increased Vmax associated with positive allosteric modulation of enzyme activity

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