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Consortium for Mathematics and its Applications

Product ID: 99709
Supplementary Print
Undergraduate

A Blood Cell Population Model, Dynamical Diseases, and Chaos (UMAP)

Author: William B. Gearhart and Mario Martelli


This module gives an introduction to the modeling of blood cell populations and the role of modeling in the study of dynamical diseases of the blood.

Table of Contents:

INTRODUCTION

A BLOOD CELL POPULATION MODEL
Blood Cell Formation and Destruction
A General Model

PARAMETER ESTIMATION AND MODEL VALIDATION

DISCRETE DYNAMICAL SYSTEM
Orbits, Stationary States, and Periodic Orbits
Stability of Stationary States and Periodic Orbits
Chaotic Orbits

QUALITATIVE ANALYSIS AND APPLICATIONS OF THE MODEL
Hemolytic Anemia
Chronic Myelogenous Leukemia

CONCLUSION

SAMPLE EXAM

SOLUTIONS TO THE EXERCISES

SOLUTIONS TO THE SAMPLE EXAM

REFERENCES

ACKNOWLEDGMENT

ABOUT THE AUTHORS

©1999 by COMAP, Inc.
UMAP Module
30 pages

Mathematics Topics:

Calculus , Discrete & Finite Mathematics

Application Areas:

Life Sciences & Medicine

Prerequisites:

First-year calculus; discrete dynamical systems and elementary real analysis

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