Use MatLAB.

We also discussed in class a model for a simple autoregulatory gene; that is, a gene that encodes a protein whose function (or part of whose function) is to activate the transcription of itself. Recall that the system of differential equations for this is: Arna Lrna 1/2 dt 1. Using = w = Xprot = Xrna = l s-1 and K1/2 = 0.33 mM, use the Forward Euler approach to determine the concentration of both RNA and protein over time. Use a total time of 20 s and a time step of 0.01 s, and an initial concentration of 0.5 mM for both RNA and protein. Plot the concentrations as a function of time We also discussed in class a model for a simple autoregulatory gene; that is, a gene that encodes a protein whose function (or part of whose function) is to activate the transcription of itself. Recall that the system of differential equations for this is: Arna Lrna 1/2 dt 1. Using = w = Xprot = Xrna = l s-1 and K1/2 = 0.33 mM, use the Forward Euler approach to determine the concentration of both RNA and protein over time. Use a total time of 20 s and a time step of 0.01 s, and an initial concentration of 0.5 mM for both RNA and protein. Plot the concentrations as a function of time