Consider the cellular reaction A + B *C+D. It is known that the reaction is 1** order in terms of A and in terms of B. Let a, b, c and d denote the ICF concentrations. 3.1 Assume that A diffuses to the cell from the ECF where its concentration ag is large. B is generated in the ICF at a rate that depends on the concentration of product C: 18 = 20 - ac. All four molecules have the same proportional death rate of 8. Explain why there is no conservation of mass. Write the mathematical model. Specify numerical values that assure the existence of at least one equilibrium point. Verify by a Simulink run that this is so. 3.2 For the numerical part of 3.1 use MATLAB trim and linmod commands to find the equilibrium point (or points) and their stability. Compare to 3.1. 3.3 For the same reaction (above) assume that the diffusion of A, the generation of B both stop and assume that the death term of the molecules is negligibly small. The reaction is driven entirely by the initial concentrations of the molecules. Show the mathematical model and choose the coefficients and initial concentrations such that B depletes first. Plot a(t), b(t), c(t) and d(t), using a Simulink run. Explain the plots