The concentration of medication in the blood declines

Assignment Help MATLAB Programming

Reference no: EM13167814

a.) After a dose, the concentration of medication in the blood declines due to metabolic processes. The half-life of a medication is the time required after an initial dosage for the concentration to be reduced by one-half. A common model for this process is:

C(t)=C(0)e^(-kt)

where C(0) is the initial concentration, t is time in hours, and k is called the elimination rate constant, which varies among individuals. For a particular bronchodilator, k has been estimated to be in the range 0.047 to 0.107 per hour. Find an expression for the half-life in terms of k, and obtain a plot of the half-life versus k for the indicated range.

b.)If the concentration is initially zero and a constant delivery rate is started and maintained, the concentration as a function of time is described by

C(t)=(a/k)(1-e^(-kt))

where a is a constant that depends on the delivery rate. Plot the concentration after 1hr, c(1), versus k for the case where a=1 and k is in the range .047<=k 107="" per="" hour="" p="">

Reference no: EM13167814

Questions Cloud

Compute the expectations of x and y : One of the 4 bus drivers is also randomly selected. Let Y denote the number of students on his bus. Compute the expectations of X and Y:

Create a database for managing our business : Evaluate the given statement and discuss some approaches to address the issue: "We spent several million dollars a few years ago to create a database for managing our business. In the past several months, we acquired a new business but its data does ..

Compute the required quantity of each reagent : Describe the preparation of 12 mL of a 0.050 M solution of each of the halogens, using the reactions in the preceding question. Available to you are solid Ca(OCl)2

What are venn diagrams : Imagine you are talking about your college math class over the family dinner table with your father, and he asks, "What are Venn diagrams?" Describe how you would explain them to him.

The concentration of medication in the blood declines : After a dose, the concentration of medication in the blood declines due to metabolic processes. The half-life of a medication is the time required after an initial dosage for the concentration to be reduced by one-half.

How many are taking english : In a group of 97 students, the number taking English is twice the number of those taking Math. 53 students are taking one of these subjects and 15 are taking neither. How many students are taking math? How many are taking English?

Define molecules escape from the surface of a liquid : During evaporation, molecules escape from the surface of a liquid and enter the gas phase. This physical change requires an energy input: a molecule cannot become gaseous unless it has sufficient energy to break free of its interactions with neigh..

Describe the changes- shifts made to the graph : Provide an equation with real-number values of a, h, and k, so that your classmates can describe the changes/shifts made to the graph of y = x².

It would be cool if a device was actually part : Have you ever been low on cash and couldn't go beyond a certain dollar limit when shopping? You sort of need a calculator in your head. It would be cool if a device was actually part of the cart and as you add an item into the cart it would increm..

User Account

All Pages