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.
- Provides a multi-scale framework to link within-host infection dynamics (individual level) to between-host transmission fitness (epidemiological level) in viral infectious diseases
- Includes PK/PD modeling and simulation approaches to improve efficiency and decision-making at preclinical development phases
- Presents a theoretic approach to schedule drug treatments
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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
Esteban A. Hernandez-Vargas is a research group leader and principal investigator at the Frankfurt Institute for Advanced Studies, Germany. In 2011, he obtained his PhD in Mathematics from the Hamilton Institute at the National University of Ireland. During three years, he hold a postdoctoral scientist position at the Helmholtz Centre for Infection Research (HZI) in Braunschweig, Germany. In July 2014, he founded the pioneering research group of Systems Medicine of Infectious Diseases at the HZI. Since March 2017, he and his research group moved to the Frankfurt Institute for Advanced Studies. Furthermore, he was a visiting scholar at Los Alamos National Laboratory (USA) and Universidad de Guadalajara (Mexico) and adjunct lecturer at the Otto von Guericke Universität Magdeburg, Germany. He has written more than 50 peer-reviewed publications. He is a member of the IEEE Control Systems Society, the Society of Mathematical Biology, the European Society of Virology, and the Mexican Research Council (CONACYT). Additionally, he is an Editorial Board member of Infectious Diseases of Frontiers in Medicine and Public Health Journal as well as a Research Topic Editor at Frontiers of Microbiology and Frontiers of Immunology. He is also involved in a number of IEEE and IFAC Conference Organizing Committees.