Skip to main content

Consortium for Mathematics and its Applications

Product ID: 99676
Supplementary Print
Undergraduate

Compartment Models in Biology (UMAP)

Author: Ron Barnes


This module uses differential equations to introduce compartment models. It also discusses the applications of compartment models, specifically in the field of biology.

Table of Contents:

INTRODUCTION

SOME GENERAL COMMENTS ON MODELING

COMPARTMENT ANALYSIS MODELS I
Introduction
Definitions and Descriptions

EXAMPLES OF COMPARTMENTAL MODELS
Example 1 - Simplest Non-Trivial Model
Solution of Example 1
Example 2 - A More General Model and Solution

COMPARTMENT ANALYSIS MODELS II
General Comments
A Generalized Compartmental Model

COMPARTMENTAL MATRICES AND INVERTIBILITY - AN EXAMPLE

EXERCISES

ANSWERS TO EXERCISES

SAMPLE EXAM

ANSWERS TO SAMPLE EXAM

REFERENCES

©1987 by COMAP, Inc.
UMAP Module
29 pages

Mathematics Topics:

Differential Equations

Application Areas:

Life Sciences & Medicine , Biology, Biochemistry

Prerequisites:

Systems of ordinary differential equations.

You must have a Full Membership to download this resource.

If you're already a member, login here.

Not yet a member?