Exploring Modeling With Data And Differential Equations Using R
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Exploring Modeling With Data And Differential Equations Using R
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Author : John Zobitz
language : en
Publisher: CRC Press
Release Date : 2022-11-29
Exploring Modeling With Data And Differential Equations Using R written by John Zobitz and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-29 with Mathematics categories.
Exploring Modeling with Data and Differential Equations Using R provides a unique introduction to differential equations with applications to the biological and other natural sciences. Additionally, model parameterization and simulation of stochastic differential equations are explored, providing additional tools for model analysis and evaluation. This unified framework sits "at the intersection" of different mathematical subject areas, data science, statistics, and the natural sciences. The text throughout emphasizes data science workflows using the R statistical software program and the tidyverse constellation of packages. Only knowledge of calculus is needed; the text’s integrated framework is a stepping stone for further advanced study in mathematics or as a comprehensive introduction to modeling for quantitative natural scientists. The text will introduce you to: modeling with systems of differential equations and developing analytical, computational, and visual solution techniques. the R programming language, the tidyverse syntax, and developing data science workflows. qualitative techniques to analyze a system of differential equations. data assimilation techniques (simple linear regression, likelihood or cost functions, and Markov Chain, Monte Carlo Parameter Estimation) to parameterize models from data. simulating and evaluating outputs for stochastic differential equation models. An associated R package provides a framework for computation and visualization of results. It can be found here: https://cran.r-project.org/web/packages/demodelr/index.html.
Exploring Modeling With Data And Differential Equations Using R
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Author : John M. Zobitz
language : en
Publisher:
Release Date : 2023
Exploring Modeling With Data And Differential Equations Using R written by John M. Zobitz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023 with Biological models categories.
"Exploring Modeling with Data and Differential Equations Using R provides a unique introduction to differential equations with applications to the biological and other natural sciences. Additionally, model parameterization and simulation of stochastic differential equations are explored, providing additional tools for model analysis and evaluation"--
Exploring Odes
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Author : Lloyd N. Trefethen
language : en
Publisher: SIAM
Release Date : 2017-12-21
Exploring Odes written by Lloyd N. Trefethen and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-21 with Mathematics categories.
Exploring ODEs is a textbook of ordinary differential equations for advanced undergraduates, graduate students, scientists, and engineers. It is unlike other books in this field in that each concept is illustrated numerically via a few lines of Chebfun code. There are about 400 computer-generated figures in all, and Appendix B presents 100 more examples as templates for further exploration.?
Exploring Mathematical Modeling In Biology Through Case Studies And Experimental Activities
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Author : Rebecca Sanft
language : en
Publisher: Academic Press
Release Date : 2020-04-01
Exploring Mathematical Modeling In Biology Through Case Studies And Experimental Activities written by Rebecca Sanft and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-01 with Science categories.
Exploring Mathematical Modeling in Biology through Case Studies and Experimental Activities provides supporting materials for courses taken by students majoring in mathematics, computer science or in the life sciences. The book's cases and lab exercises focus on hypothesis testing and model development in the context of real data. The supporting mathematical, coding and biological background permit readers to explore a problem, understand assumptions, and the meaning of their results. The experiential components provide hands-on learning both in the lab and on the computer. As a beginning text in modeling, readers will learn to value the approach and apply competencies in other settings. Included case studies focus on building a model to solve a particular biological problem from concept and translation into a mathematical form, to validating the parameters, testing the quality of the model and finally interpreting the outcome in biological terms. The book also shows how particular mathematical approaches are adapted to a variety of problems at multiple biological scales. Finally, the labs bring the biological problems and the practical issues of collecting data to actually test the model and/or adapting the mathematics to the data that can be collected.
Multidisciplinary Research In Arts Science Commerce Volume 2
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Author : Chief Editor- Biplab Auddya, Editor- Dr. T. Prabakaran, Dr. Bandi Kalyani, Dr. Nisha, Prof Dr M Devendra, Dr. Anita Konwar, V.Geetha
language : en
Publisher: The Hill Publication
Release Date : 2024-08-07
Multidisciplinary Research In Arts Science Commerce Volume 2 written by Chief Editor- Biplab Auddya, Editor- Dr. T. Prabakaran, Dr. Bandi Kalyani, Dr. Nisha, Prof Dr M Devendra, Dr. Anita Konwar, V.Geetha and has been published by The Hill Publication this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-08-07 with Antiques & Collectibles categories.
Director S Report
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Author : National Institutes of Health (U.S.). Division of Computer Research and Technology
language : en
Publisher:
Release Date : 1992
Director S Report written by National Institutes of Health (U.S.). Division of Computer Research and Technology and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Medicine categories.
Model Selection And Multimodel Inference
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Author : Kenneth P. Burnham
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-05-28
Model Selection And Multimodel Inference written by Kenneth P. Burnham and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-28 with Mathematics categories.
A unique and comprehensive text on the philosophy of model-based data analysis and strategy for the analysis of empirical data. The book introduces information theoretic approaches and focuses critical attention on a priori modeling and the selection of a good approximating model that best represents the inference supported by the data. It contains several new approaches to estimating model selection uncertainty and incorporating selection uncertainty into estimates of precision. An array of examples is given to illustrate various technical issues. The text has been written for biologists and statisticians using models for making inferences from empirical data.
Encyclopedia Of Machine Learning
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Author : Claude Sammut
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-03-28
Encyclopedia Of Machine Learning written by Claude Sammut and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-28 with Computers categories.
This comprehensive encyclopedia, in A-Z format, provides easy access to relevant information for those seeking entry into any aspect within the broad field of Machine Learning. Most of the entries in this preeminent work include useful literature references.
An Introduction To Undergraduate Research In Computational And Mathematical Biology
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Author : Hannah Callender Highlander
language : en
Publisher: Springer Nature
Release Date : 2020-02-17
An Introduction To Undergraduate Research In Computational And Mathematical Biology written by Hannah Callender Highlander and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-17 with Mathematics categories.
Speaking directly to the growing importance of research experience in undergraduate mathematics programs, this volume offers suggestions for undergraduate-appropriate research projects in mathematical and computational biology for students and their faculty mentors. The aim of each chapter is twofold: for faculty, to alleviate the challenges of identifying accessible topics and advising students through the research process; for students, to provide sufficient background, additional references, and context to excite students in these areas and to enable them to successfully undertake these problems in their research. Some of the topics discussed include: • Oscillatory behaviors present in real-world applications, from seasonal outbreaks of childhood diseases to action potentials in neurons • Simulating bacterial growth, competition, and resistance with agent-based models and laboratory experiments • Network structure and the dynamics of biological systems • Using neural networks to identify bird species from birdsong samples • Modeling fluid flow induced by the motion of pulmonary cilia Aimed at undergraduate mathematics faculty and advanced undergraduate students, this unique guide will be a valuable resource for generating fruitful research collaborations between students and faculty.
Handbook Of Models For Human Aging
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Author : P. Michael Conn
language : en
Publisher: Elsevier
Release Date : 2011-04-28
Handbook Of Models For Human Aging written by P. Michael Conn and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-04-28 with Medical categories.
The Handbook of Models for Human Aging is designed as the only comprehensive work available that covers the diversity of aging models currently available. For each animal model, it presents key aspects of biology, nutrition, factors affecting life span, methods of age determination, use in research, and disadvantages/advantes of use. Chapters on comparative models take a broad sweep of age-related diseases, from Alzheimer's to joint disease, cataracts, cancer, and obesity. In addition, there is an historical overview and discussion of model availability, key methods, and ethical issues. - Utilizes a multidisciplinary approach - Shows tricks and approaches not available in primary publications - First volume of its kind to combine both methods of study for human aging and animal models - Over 200 illustrations