In order to save time on constructing your block diagram, copy the block for the bioreactor from the textbook web page (see Figure M7-2)
I recommend that you make your proportional and integral terms in the PID controller a function of lambda (λ). Then, before each simulation run, you merely have to type in a new lambda in the MATLAB window, rather than typing in new PI parameters. Always realize that the integral term in the default SIMULINK PID block is our kc/τI.
Notice that the SIMULINK diagram contains two extra blocks. The transport delay block can ...