Mathematical Approaches to Predictive Health
Monioring for Heart Failure Patients

Yiju Chao

Master of Science in Mathematics (Industrial and Applied emphasis), April 1998

ABSTRACT

This article introduces both statistical and the theoretical approaches to explore parameters, which can be used to predict the health of heart failure patients and to classify heart failure patients. From the statistical point-of-view, the comparison of covariance analysis and factor analysis with patients' medical history suggests several parameters. From the theoretical point-of-view, a stochastic model with seven states was developed to describe the blood circulation system. Some covariance analysis of the theoretical model shows consistency with the empirical result.

Research supported by the Minnesota Center for Industrial Mathematics (MCIM)