Question

1 - Solve the following enzymatic reaction with a competitive inhibitor (I) using MATLAB ode solvers: S + E ? ES ? P + E I + E ? EI Where k1 = 0.2 M?¹s?¹; k?? = 0.1 s?¹; k? = 0.15 s?¹; k? = 0.1 M?¹s?¹; k?? = 0.1 s?¹, and initial conditions: [S]? = 8 M; [I]? = 5M; [E]? = 4 M; [EI]? = [ES]? = [P]? = 0 M. Run the simulation for 100 seconds. 2 - Using the Quasi-Steady-State approximation, derive an expression for the reaction rate of the system shown in question 1, based on the concentration of the substrate ([S]) and the inhibitor ([I]). [Assume that both ES and EI reach equilibrium almost instantly. You should be able to reach to the formula shown in class, i.e., r_p = Vmax[S] / ([S] + K_m(1 + [I]/K_I))] 3 - Plot the reaction rate (derived in question 2) versus concentration of the substrate [S] for 4 different values of inhibitor concentration (choose 4 increasing values for inhibitor concentration and plot them on the same graph). What is your interpretation of the effect of inhibitor concentration on the reaction kinetics? 4 - Show the Lineweaver-Burk plots corresponding to question 3 in one figure.

          1 - Solve the following enzymatic reaction with a competitive inhibitor (I) using MATLAB ode solvers:

S + E ? ES ? P + E
I + E ? EI

Where k1 = 0.2 M?¹s?¹; k?? = 0.1 s?¹; k? = 0.15 s?¹; k? = 0.1 M?¹s?¹; k?? = 0.1 s?¹, and initial conditions: [S]? = 8 M; [I]? = 5M; [E]? = 4 M; [EI]? = [ES]? = [P]? = 0 M. Run the simulation for 100 seconds.

2 - Using the Quasi-Steady-State approximation, derive an expression for the reaction rate of the system shown in question 1, based on the concentration of the substrate ([S]) and the inhibitor ([I]). [Assume that both ES and EI reach equilibrium almost instantly. You should be able to reach to the formula shown in class, i.e., r_p = Vmax[S] / ([S] + K_m(1 + [I]/K_I))]

3 - Plot the reaction rate (derived in question 2) versus concentration of the substrate [S] for 4 different values of inhibitor concentration (choose 4 increasing values for inhibitor concentration and plot them on the same graph). What is your interpretation of the effect of inhibitor concentration on the reaction kinetics?

4 - Show the Lineweaver-Burk plots corresponding to question 3 in one figure.

1 - Solve the following enzymatic reaction with a competitive inhibitor (I) using MATLAB ode solvers:

S + E ? ES ? P + E
I + E ? EI

Where k1 = 0.2 M?¹s?¹; k?? = 0.1 s?¹; k? = 0.15 s?¹; k? = 0.1 M?¹s?¹; k?? = 0.1 s?¹, and initial conditions: [S]? = 8 M; [I]? = 5M; [E]? = 4 M; [EI]? = [ES]? = [P]? = 0 M. Run the simulation for 100 seconds.

2 - Using the Quasi-Steady-State approximation, derive an expression for the reaction rate of the system shown in question 1, based on the concentration of the substrate ([S]) and the inhibitor ([I]). [Assume that both ES and EI reach equilibrium almost instantly. You should be able to reach to the formula shown in class, i.e., rp = Vmax[S] / ([S] + Km(1 + [I]/KI))]

3 - Plot the reaction rate (derived in question 2) versus concentration of the substrate [S] for 4 different values of inhibitor concentration (choose 4 increasing values for inhibitor concentration and plot them on the same graph). What is your interpretation of the effect of inhibitor concentration on the reaction kinetics?

4 - Show the Lineweaver-Burk plots corresponding to question 3 in one figure.

Added by Sandra W.

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