Modeling and Control of Infectious Diseases in the Host With MATLAB and R
Auteur : Hernandez-Vargas Esteban A.
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.
Part 1. Theoretical Biology Principles1. Introduction2. Mathematical Modeling Principles3. Model Parameter Estimation
Part 2. Modeling Host Infectious Diseases4. Modeling Influenza Virus Infection5. Modeling Ebola Virus Infection6. Modeling HIV Infection7. HIV Evolution During Treatment
Part 3. Advanced Topics in Control Theory8. Optimal Therapy Scheduling9. Suboptimal Therapy Scheduling10. PK/PD-based Impulsive Control
- 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
Date de parution : 02-2019
Ouvrage de 256 p.
19x23.3 cm
Thèmes de Modeling and Control of Infectious Diseases in the Host :
Mots-clés :
Aging; Coinfections; Differential equations; Drug resistance; Ebola virus infection; Evolution; Guaranteed cost control; HIV escape; HIV infection; HIV treatment; Identifiability; Immunology; Impulsive control; Infectious diseases; Influenza virus infection; Inverse optimal control; Mathematical modeling; Maximum principle; Modeling; MPC; Mutations; Optimal control; Optimization algorithms; Parameter estimation; PK/PD; Population modeling; Reservoirs; Resistance; Stability; Target cell-limited model; Treatment scheduling; Vaccination; Virology