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.
1. Chapter 1: Introduction - p. xiii 2. Chapter 2: Mathematical Modeling Principles - p. 17 3. Chapter 3: Model Parameter Estimation - p. 33 4. Part 2: Modeling Host Infectious Diseases - p. 61 5. Chapter 4: Modeling Influenza Virus Infection - p. 61 6. Chapter 5: Modeling Ebola Virus Infection - p. 84 7. Chapter 6: Modeling HIV Infection - p. 103 8. Chapter 7: HIV Evolution During Treatment - p. 127 9. Part 3: Advanced Topics in Control Theory - p. 152 10. Chapter 8: Optimal Therapy Scheduling - p. 152 11. Chapter 9: Suboptimal Therapy Scheduling - p. 192 12. Chapter 10: PK/PD-based Impulsive Control - p. 209 13. Bibliography - p. 221 14. Index - p. 237
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.
1. Chapter 1: Introduction - p. xiii 2. Chapter 2: Mathematical Modeling Principles - p. 17 3. Chapter 3: Model Parameter Estimation - p. 33 4. Part 2: Modeling Host Infectious Diseases - p. 61 5. Chapter 4: Modeling Influenza Virus Infection - p. 61 6. Chapter 5: Modeling Ebola Virus Infection - p. 84 7. Chapter 6: Modeling HIV Infection - p. 103 8. Chapter 7: HIV Evolution During Treatment - p. 127 9. Part 3: Advanced Topics in Control Theory - p. 152 10. Chapter 8: Optimal Therapy Scheduling - p. 152 11. Chapter 9: Suboptimal Therapy Scheduling - p. 192 12. Chapter 10: PK/PD-based Impulsive Control - p. 209 13. Bibliography - p. 221 14. Index - p. 237
