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

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