Optimal Control Applied To Biological Models

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Optimal Control Applied To Biological Models

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Author : Suzanne Lenhart
language : en
Publisher: CRC Press
Release Date : 2007-05-07

Optimal Control Applied To Biological Models written by Suzanne Lenhart and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-07 with Mathematics categories.

From economics and business to the biological sciences to physics and engineering, professionals successfully use the powerful mathematical tool of optimal control to make management and strategy decisions. Optimal Control Applied to Biological Models thoroughly develops the mathematical aspects of optimal control theory and provides insight into the application of this theory to biological models. Focusing on mathematical concepts, the book first examines the most basic problem for continuous time ordinary differential equations (ODEs) before discussing more complicated problems, such as variations of the initial conditions, imposed bounds on the control, multiple states and controls, linear dependence on the control, and free terminal time. In addition, the authors introduce the optimal control of discrete systems and of partial differential equations (PDEs). Featuring a user-friendly interface, the book contains fourteen interactive sections of various applications, including immunology and epidemic disease models, management decisions in harvesting, and resource allocation models. It also develops the underlying numerical methods of the applications and includes the MATLAB® codes on which the applications are based. Requiring only basic knowledge of multivariable calculus, simple ODEs, and mathematical models, this text shows how to adjust controls in biological systems in order to achieve proper outcomes.

Mathematical Methods In Biology

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Author : J. David Logan
language : en
Publisher: John Wiley & Sons
Release Date : 2009-08-17

Mathematical Methods In Biology written by J. David Logan and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-17 with Science categories.

A one-of-a-kind guide to using deterministic and probabilistic methods for solving problems in the biological sciences Highlighting the growing relevance of quantitative techniques in scientific research, Mathematical Methods in Biology provides an accessible presentation of the broad range of important mathematical methods for solving problems in the biological sciences. The book reveals the growing connections between mathematics and biology through clear explanations and specific, interesting problems from areas such as population dynamics, foraging theory, and life history theory. The authors begin with an introduction and review of mathematical tools that are employed in subsequent chapters, including biological modeling, calculus, differential equations, dimensionless variables, and descriptive statistics. The following chapters examine standard discrete and continuous models using matrix algebra as well as difference and differential equations. Finally, the book outlines probability, statistics, and stochastic methods as well as material on bootstrapping and stochastic differential equations, which is a unique approach that is not offered in other literature on the topic. In order to demonstrate the application of mathematical methods to the biological sciences, the authors provide focused examples from the field of theoretical ecology, which serve as an accessible context for study while also demonstrating mathematical skills that are applicable to many other areas in the life sciences. The book's algorithms are illustrated using MATLAB®, but can also be replicated using other software packages, including R, Mathematica®, and Maple; however, the text does not require any single computer algebra package. Each chapter contains numerous exercises and problems that range in difficulty, from the basic to more challenging, to assist readers with building their problem-solving skills. Selected solutions are included at the back of the book, and a related Web site features supplemental material for further study. Extensively class-tested to ensure an easy-to-follow format, Mathematical Methods in Biology is an excellent book for mathematics and biology courses at the upper-undergraduate and graduate levels. It also serves as a valuable reference for researchers and professionals working in the fields of biology, ecology, and biomathematics.

Modeling Paradigms And Analysis Of Disease Transmission Models

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Author : Abba B. Gumel
language : en
Publisher: American Mathematical Soc.
Release Date : 2010

Modeling Paradigms And Analysis Of Disease Transmission Models written by Abba B. Gumel and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.

This volume stems from two DIMACS activities, the U.S.-Africa Advanced Study Institute and the DIMACS Workshop, both on Mathematical Modeling of Infectious Diseases in Africa, held in South Africa in the summer of 2007. It contains both tutorial papers and research papers. Students and researchers should find the papers on modeling and analyzing certain diseases currently affecting Africa very informative. In particular, they can learn basic principles of disease modeling and stability from the tutorial papers where continuous and discrete time models, optimal control, and stochastic features are introduced.

Dynamical Models Of Biology And Medicine

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Author : Yang Kuang
language : en
Publisher: MDPI
Release Date : 2019-10-04

Dynamical Models Of Biology And Medicine written by Yang Kuang and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-04 with Technology & Engineering categories.

Mathematical and computational modeling approaches in biological and medical research are experiencing rapid growth globally. This Special Issue Book intends to scratch the surface of this exciting phenomenon. The subject areas covered involve general mathematical methods and their applications in biology and medicine, with an emphasis on work related to mathematical and computational modeling of the complex dynamics observed in biological and medical research. Fourteen rigorously reviewed papers were included in this Special Issue. These papers cover several timely topics relating to classical population biology, fundamental biology, and modern medicine. While the authors of these papers dealt with very different modeling questions, they were all motivated by specific applications in biology and medicine and employed innovative mathematical and computational methods to study the complex dynamics of their models. We hope that these papers detail case studies that will inspire many additional mathematical modeling efforts in biology and medicine

Operational Research

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Author : A. Ismael F. Vaz
language : en
Publisher: Springer
Release Date : 2018-02-15

Operational Research written by A. Ismael F. Vaz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-15 with Mathematics categories.

This proceedings book presents selected contributions from the XVIII Congress of APDIO (the Portuguese Association of Operational Research) held in Valença on June 28–30, 2017. Prepared by leading Portuguese and international researchers in the field of operations research, it covers a wide range of complex real-world applications of operations research methods using recent theoretical techniques, in order to narrow the gap between academic research and practical applications. Of particular interest are the applications of, nonlinear and mixed-integer programming, data envelopment analysis, clustering techniques, hybrid heuristics, supply chain management, and lot sizing and job scheduling problems. In most chapters, the problems, methods and methodologies described are complemented by supporting figures, tables and algorithms. The XVIII Congress of APDIO marked the 18th installment of the regular biannual meetings of APDIO – the Portuguese Association of Operational Research. The meetings bring together researchers, scholars and practitioners, as well as MSc and PhD students, working in the field of operations research to present and discuss their latest works. The main theme of the latest meeting was Operational Research Pro Bono. Given the breadth of topics covered, the book offers a valuable resource for all researchers, students and practitioners interested in the latest trends in this field.

Mathematics Across Contemporary Sciences

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Author : Taher Abualrub
language : en
Publisher: Springer
Release Date : 2017-01-22

Mathematics Across Contemporary Sciences written by Taher Abualrub and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-22 with Mathematics categories.

This work presents invited contributions from the second "International Conference on Mathematics and Statistics" jointly organized by the AUS (American University of Sharjah) and the AMS (American Mathematical Society). Addressing several research fields across the mathematical sciences, all of the papers were prepared by faculty members at universities in the Gulf region or prominent international researchers. The current volume is the first of its kind in the UAE and is intended to set new standards of excellence for collaboration and scholarship in the region.

The Landscape Of Global Health Inequity

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Author : Barbara W. K. Son
language : en
Publisher: Springer Nature
Release Date : 2024-07-10

The Landscape Of Global Health Inequity written by Barbara W. K. Son and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-10 with Medical categories.

This book presents a unique overview of significant disparities in health, which exist within complex and multifaceted contexts across different regions. In the twenty-first century, global health inequity presents substantial health challenges, encompassing diverse and interconnected ramifications across socioeconomic, cultural, and political dimensions. Additionally, it thoroughly explores the interconnected and multifaceted underlying factors that are widespread in developing nations. The book puts forth essential and comprehensive recommendations that call for collaborative efforts at multiple levels, including global, national, and local, to identify and address issues effectively.

Recent Advances In Mathematical And Statistical Methods

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Author : D. Marc Kilgour
language : en
Publisher: Springer
Release Date : 2018-11-04

Recent Advances In Mathematical And Statistical Methods written by D. Marc Kilgour and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-04 with Computers categories.

This book focuses on the recent development of methodologies and computation methods in mathematical and statistical modelling, computational science and applied mathematics. It emphasizes the development of theories and applications, and promotes interdisciplinary endeavour among mathematicians, statisticians, scientists, engineers and researchers from other disciplines. The book provides ideas, methods and tools in mathematical and statistical modelling that have been developed for a wide range of research fields, including medical, health sciences, biology, environmental science, engineering, physics and chemistry, finance, economics and social sciences. It presents original results addressing real-world problems. The contributions are products of a highly successful meeting held in August 2017 on the main campus of Wilfrid Laurier University, in Waterloo, Canada, the International Conference on Applied Mathematics, Modeling and Computational Science (AMMCS-2017). They make this book a valuable resource for readers interested not only in a broader overview of the methods, ideas and tools in mathematical and statistical approaches, but also in how they can attain valuable insights into problems arising in other disciplines.

Statistical Modeling And Machine Learning For Molecular Biology

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Author : Alan Moses
language : en
Publisher: CRC Press
Release Date : 2017-01-06

Statistical Modeling And Machine Learning For Molecular Biology written by Alan Moses and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-06 with Computers categories.

• Assumes no background in statistics or computers • Covers most major types of molecular biological data • Covers the statistical and machine learning concepts of most practical utility (P-values, clustering, regression, regularization and classification) • Intended for graduate students beginning careers in molecular biology, systems biology, bioengineering and genetics

Optimization In Control Applications

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Author : Guillermo Valencia-Palomo
language : en
Publisher: MDPI
Release Date : 2019-01-10

Optimization In Control Applications written by Guillermo Valencia-Palomo and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-10 with Mathematics categories.

This book is a printed edition of the Special Issue "Optimization in Control Applications" that was published in MCA