Assignment:
Consider the following very simple model of blood cholesterol levels based on the fact that cholesterol is manufactured by the body for use in the construction of cell walls and is absorbed from foods containing cholesterol: Let C(t) be the amount (in milligrams per deciliter) of cholesterol in the blood of a particular person at time t (in days). Then
dC/dt = k1 (C0 – C) + k2E,
where
C0 = the person’s natural cholesterol level,
k1 = production parameter,
E = daily rate at which cholesterol is eaten, and
k2 = absorption parameter
Provide complete and step by step solution for the question and show calculations and use formulas.