In an enzymatic reaction catalyzed by an enzyme E, a substrate S is converted to

Question

In an enzymatic reaction catalyzed by an enzyme E, a substrate S is converted to a product P. The production of P occurs via the formation of an intermediate ES: S + E ES P + E Obtain a system of differential equations describing the dynamics of the system assuming the following initial condition and rate constants: [S]0 = 1 muM, [E]0 = 0.1 muM, [ES]0 = 0, [P]0 = 0, k1 = 0.1 (muM)-1s-1, k1 = 0.1 s-1, k2 = 0.3s-1. [MATLAB code] Write a MATLAB code for solving the system of ODEs in (4a). [MATLAB code] Plot the concentrations of S and P (i.e. [S] and [P]) vs. time for 0-1000 s. [MATLAB code] Determine the time it takes for 99.5% of the substrate to be convened.

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