Biomedical problem… Show all of your steps to get to the
answer…

A bioengineer is asked to develop a model describing the concentration red blood cells in the blood. He/she makes of the following assumptions: a. Unsteady state problem b. Production rate of RBC ~ K[C] where K is a constant and [C] represents the red blood cell concentration in the blood c. Removal rate of RBC ~ k_1. Derive and solve the equation for [C(t)]. Is this a reasonable model from a physiological viewpoint? In class we derived the value for the O_2 solubility in plasma (0, 023 mL O_2/ml plasma-atm) When equilibrated against one atm of pure O_2, the concentration of oxygen in perfluorocarbon-PFC1 measures 28 mL O_2/100 mL PFC1. Calculate the oxygen solubility for PFC1 and compare this to the O_2 solubility for blood plasma. Calculate the Arterial- Venous O_2 difference for the following parameters.