Trajectory Analysis in Health Care

• Main Author: Hollar, David W. (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Subjects: Epidemiology.; Statistical physics.; Pharmacy management.; Health promotion.; Health administration.; Applications of Nonlinear Dynamics and Chaos Theory.; Pharmacoeconomics and Health Outcomes.; Health Promotion and Disease Prevention.; Health Administration.

This innovative volume introduces Trajectory Analysis, a new systems-based approach to measuring nonlinear dynamics in continuous change, to public health and epidemiology. It synthesizes influential strands of statistical and probability science (including chaos theory and catastrophe theory) to co...

Table of Contents:

• Longitudinal Data in Health Care: Opportunities and Necessity.-The Problem of Recidivism in Health Care Intervention Studies
• Current Epidemiological Methods
• Longitudinal Data Analysis Methods
• Linearity Versus Nonlinearity in Variable Associations and Time
• Stability and Reversibility/Irreversibility of Health Conditions
• Chaos Theory and Sensitive Dependence on Initial Conditions
• Poincare Return Maps
• Health Conditions and Behaviors as Topological Surfaces
• Applying Jacobian Matrices to Health Trajectories
• The Lyapunov Exponent
• Phase Transitions in Health and Health Behaviors
• Applications in Cardiology and Neuroscience
• Applications in Health Monitoring and Geographic Systems
• Causality and Inference
• Health Care Interventions for Long-Term Positive Results
• Appendix A. Mathematical Background
• Appendix B. Sample Programming Code for Examples.