IN MATLAB

25 points. A certain metabolite A in a cell is converted to B and C at rates of k1-0.5 min1 and k3-0.3 min1, respectively. The reverse reactions occur at rates of k2-0.2 min1 and k4-0.1 min"1 respectively. Furthermore, the cell secretes C at a constant rate of k5-0.05 nM/min. Initially, the concentrations of A, B, and C are 700 nM, 500 nM, and 0 nM respectively. Delete k5 (Note that C is secreted at a constant rate. You may define a "fake" species D (which is always 1 nM) to represent the secretion of C as a fraction of D.) k1 k2 k5 Solve the system of ODEs for the concentrations of these metabolites. Plot their concentrations over time. At what time are the concentrations of the A and B equal? What are the steady-state concentrations of these metabolites? a. b. c