Deterministic and Stochastic Models of AIDS Epidemics and HIV Infections with Intervention
Deterministic and Stochastic Models of AIDS Epidemics and HIV Infections with Intervention

Author: W. Y. Tan

Publisher: World Scientific

Published: 2005

Total Pages: 610

ISBN-13: 9812561390

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- Only book on extensive, deterministic models, statistic models, stochastic models and state space models and statistical methods for HIV epidemic involving IV drug usage and HIV epidemic in homosexual populations. - Provides most recent biological insights into HIV pathogenesis and HIV kinetics at the cellular level, and illustrates how to build up mathematical models based on these biological insights. - Only publication that provides in-depth analysis of HAART treatment protocols and discusses possible improvements to the HAART protocol. The book also provides connection between pharmacokinetics with treatment in HIV-infected individuals.

Modern Statistical Methods for Health Research
Modern Statistical Methods for Health Research

Author: Yichuan Zhao

Publisher: Springer Nature

Published: 2021-10-14

Total Pages: 506

ISBN-13: 3030724379

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This book brings together the voices of leading experts in the frontiers of biostatistics, biomedicine, and the health sciences to discuss the statistical procedures, useful methods, and novel applications in biostatistics research. It also includes discussions of potential future directions of biomedicine and new statistical developments for health research, with the intent of stimulating research and fostering the interactions of scholars across health research related disciplines. Topics covered include: Health data analysis and applications to EHR data Clinical trials, FDR, and applications in health science Big network analytics and its applications in GWAS Survival analysis and functional data analysis Graphical modelling in genomic studies The book will be valuable to data scientists and statisticians who are working in biomedicine and health, other practitioners in the health sciences, and graduate students and researchers in biostatistics and health.

Optimal Design for Nonlinear Response Models
Optimal Design for Nonlinear Response Models

Author: Valerii V. Fedorov

Publisher: CRC Press

Published: 2013-07-15

Total Pages: 404

ISBN-13: 1439821518

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Optimal Design for Nonlinear Response Models discusses the theory and applications of model-based experimental design with a strong emphasis on biopharmaceutical studies. The book draws on the authors’ many years of experience in academia and the pharmaceutical industry. While the focus is on nonlinear models, the book begins with an explanation of the key ideas, using linear models as examples. Applying the linearization in the parameter space, it then covers nonlinear models and locally optimal designs as well as minimax, optimal on average, and Bayesian designs. The authors also discuss adaptive designs, focusing on procedures with non-informative stopping. The common goals of experimental design—such as reducing costs, supporting efficient decision making, and gaining maximum information under various constraints—are often the same across diverse applied areas. Ethical and regulatory aspects play a much more prominent role in biological, medical, and pharmaceutical research. The authors address all of these issues through many examples in the book.

Nonlinear Analysis, Geometry and Applications
Nonlinear Analysis, Geometry and Applications

Author: Diaraf Seck

Publisher: Springer Nature

Published: 2020-11-20

Total Pages: 462

ISBN-13: 3030573362

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This book gathers nineteen papers presented at the first NLAGA-BIRS Symposium, which was held at the Cheikh Anta Diop University in Dakar, Senegal, on June 24–28, 2019. The four-day symposium brought together African experts on nonlinear analysis and geometry and their applications, as well as their international partners, to present and discuss mathematical results in various areas. The main goal of the NLAGA project is to advance and consolidate the development of these mathematical fields in West and Central Africa with a focus on solving real-world problems such as coastal erosion, pollution, and urban network and population dynamics problems. The book addresses a range of topics related to partial differential equations, geometrical analysis of optimal shapes, geometric structures, optimization and optimal transportation, control theory, and mathematical modeling.

Optimal Design for Nonlinear Response Models
Optimal Design for Nonlinear Response Models

Author: Valerii V. Fedorov

Publisher: CRC Press

Published: 2013-07-15

Total Pages: 402

ISBN-13: 1439821526

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Optimal Design for Nonlinear Response Models discusses the theory and applications of model-based experimental design with a strong emphasis on biopharmaceutical studies. The book draws on the authors' many years of experience in academia and the pharmaceutical industry. While the focus is on nonlinear models, the book begins with an explanation of