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Modeling and Control of Infectious Diseases in the Host. With MATLAB and R

  • Book

  • February 2019
  • Elsevier Science and Technology
  • ID: 4659865

Modeling and Control of Infectious Diseases in the Host: With MATLAB and R provides a holistic understanding of health and disease by presenting topics on quantitative decision-making that influence the development of drugs. The book presents modeling advances in different viral infections, dissecting detailed contributions of key players, along with their respective interactions. By combining tailored in vivo experiments and mathematical modeling approaches, the book clarifies the relative contributions of different underlying mechanisms within hosts of the most lethal viral infections, including HIV, influenza and Ebola. Illustrative examples for parameter fitting, modeling and control applications are explained using MATLAB and R.

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Table of Contents

Part 1. Theoretical Biology Principles 1. Introduction 2. Mathematical Modeling Principles 3. Model Parameter Estimation

Part 2. Modeling Host Infectious Diseases 4. Modeling Influenza Virus Infection 5. Modeling Ebola Virus Infection 6. Modeling HIV Infection 7. HIV Evolution During Treatment

Part 3. Advanced Topics in Control Theory 8. Optimal Therapy Scheduling 9. Suboptimal Therapy Scheduling 10. PK/PD-based Impulsive Control

Authors

Esteban A. Hernandez-Vargas Professor, Frankfurt Institute for Advanced Studies, Frankfurt am Main, Germany. Dr. Esteban A. Hernandez-Vargas is a Professor at the Frankfurt Institute for Advanced Studies, Germany, and a research group leader and principal investigator at the Institute of Mathematics (UNAM, Mexico). He obtained his Ph.D. in Mathematics from the Hamilton Institute at the National University of Ireland. In July 2014, he founded the pioneering research group of Systems Medicine of Infectious Diseases at the Helmholtz Centre for Infection Research (HZI). He is a member of the Society of Mathematical Biology, the European Society of Virology, and the Mexican Research Council (CONACYT). Additionally, he is an Editorial Board member of Plos One, Journal of Franklin Institute, as well as a Research Topic Editor at Frontiers of Microbiology and Frontiers of Immunology.