Cell death. Consider an organism which, when it attains the ageadeither dies (with a probability) or divides. (a) Write the cell balance over dividing cells and solve for the normalized, steady-state...

Cell death. Consider an organism which, when it attains the ageadeither dies (with a probability) or divides.

(a) Write the cell balance over dividing cells and solve for the normalized, steady-state age distribution, for, in a chemostat with dilution rate D.(b) Show that the doubling time, defined as the duration of the cell cyclead, doesnot equal the doubling time defined on the basis of the specified growth rate of the population.