Calculate KM and Vmax from the following data: [S] (μ M...

Calculate $K_{M}$ and $V_{\max }$ from the following data: $$\begin{array}{cc} \hline \text { [S] }(\mu \text { M }) & v_{0}\left(\mathrm{mM} \cdot \mathrm{s}^{-1}\right) \\ \hline 0.1 & 0.34 \\ \hline 0.2 & 0.53 \\ \hline 0.4 & 0.74 \\ \hline 0.8 & 0.91 \\ \hline 1.6 & 1.04 \\ \hline \end{array}$$

Calculate $K_{M}$ and $V_{\max }$ from the following data:
$$\begin{array}{cc}
\hline \text { [S] }(\mu \text { M }) & v_{0}\left(\mathrm{mM} \cdot \mathrm{s}^{-1}\right) \\
\hline 0.1 & 0.34 \\
\hline 0.2 & 0.53 \\
\hline 0.4 & 0.74 \\
\hline 0.8 & 0.91 \\
\hline 1.6 & 1.04 \\
\hline
\end{array}$$

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Key Concepts

Lineweaver-Burk Plot

This is a linear transformation of the Michaelis-Menten equation achieved by taking the reciprocal of both sides. The resulting double reciprocal plot (1/v versus 1/[S]) allows for the graphical determination of Km and Vmax by linear regression, enhancing the precision of parameter estimation.

Maximum Reaction Velocity (Vmax)

Vmax is the maximum rate at which an enzyme can catalyze a reaction when the substrate concentration is saturating. It reflects the catalytic efficiency of the enzyme and the total enzyme concentration, providing valuable information for comparing enzyme performance.

Michaelis Constant (Km)

Km is a critical parameter in enzyme kinetics representing the substrate concentration at which the reaction velocity achieves half its maximum value (Vmax). It serves as an indicator of the affinity between the enzyme and its substrate, where a lower Km implies higher affinity.

Michaelis-Menten Kinetics

This is a foundational model in enzyme kinetics that describes the rate of enzymatic reactions by relating reaction velocity to substrate concentration using the Michaelis-Menten equation: v = (Vmax * [S]) / (Km + [S]). It provides insights into how enzymes interact with substrates and underlies many methods for determining kinetic parameters of enzymes.

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