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Applications Of Calculus To Biology And Medicine
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Book Synopsis Applications of Calculus to Biology and Medicine by : Nathan C Ryan
Download or read book Applications of Calculus to Biology and Medicine written by Nathan C Ryan and published by World Scientific Publishing Company. This book was released on 2017-08-17 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Biology majors and pre-health students at many colleges and universities are required to take a semester of calculus but rarely do such students see authentic applications of its techniques and concepts. Applications of Calculus to Biology and Medicine: Case Studies from Lake Victoria is designed to address this issue: it prepares students to engage with the research literature in the mathematical modeling of biological systems, assuming they have had only one semester of calculus. The text includes projects, problems and exercises: the projects ask the students to engage with the research literature, problems ask the students to extend their understanding of the materials and exercises ask the students to check their understanding as they read the text. Students who successfully work their way through the text will be able to engage in a meaningful way with the research literature to the point that they would be able to make genuine contributions to the literature. Request Inspection Copy Contents: Background:Lake VictoriaWhat is Calculus?Population Modeling:Introduction to Population ModelingLogistic GrowthHarvesting a Population with Logistic GrowthEuler's MethodModeling Interlude: The Modeling ProcessResearch Interlude: Reading a Research PaperBrief Introduction to SageProjects for Population ModelingDrug Modeling:Introduction to PharmacokineticsTwo Models for Lead in the BodyMethods of Drug AdministrationEuler's Method for Systems of Differential EquationsModeling Interlude: Sensitivity AnalysisResearch Interlude: Writing a Research PaperProjects for Pharmacokinetic ModelingPredator Prey Modeling:Undamped Lotka-Volterra EquationsDamped Lotka-Volterra EquationsPredator SatiationIsoclinesSpecies FormationTop PredatorsModeling Interlude: Potential Problems with ModelsResearch Interlude: Making FiguresProjects for Predatory-Prey ModelsInfectious Disease Modeling:SIR Model for Infectious DiseasesMalariaHIV/AIDSProjects for Infectious Disease ModelsClassroom Tested Projects Readership: Undergraduates in biomathematics, mathematical biology, mathematical modeling, applied mathematics, and dynamical systems.
Book Synopsis Applications of Calculus to Biology and Medicine by : Nathan C. Ryan
Download or read book Applications of Calculus to Biology and Medicine written by Nathan C. Ryan and published by . This book was released on 2017 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Calculus for Biology and Medicine by : Claudia Neuhauser
Download or read book Calculus for Biology and Medicine written by Claudia Neuhauser and published by Pearson Higher Ed. This book was released on 2014-02-07 with total page 840 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the eBook of the printed book and may not include any media, website access codes, or print supplements that may come packaged with the bound book. Calculus for Biology and Medicine, Third Edition, addresses the needs of readers in the biological sciences by showing them how to use calculus to analyze natural phenomena—without compromising the rigorous presentation of the mathematics. While the table of contents aligns well with a traditional calculus text, all the concepts are presented through biological and medical applications. The text provides readers with the knowledge and skills necessary to analyze and interpret mathematical models of a diverse array of phenomena in the living world. This book is suitable for a wide audience, as all examples were chosen so that no formal training in biology is needed.
Book Synopsis Calculus for Biology and Medicine by : Claudia Neuhauser
Download or read book Calculus for Biology and Medicine written by Claudia Neuhauser and published by Prentice Hall. This book was released on 2004 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: For a two-semester course in Calculus for Life Sciences. This text addresses the needs of students in the biological sciences by teaching calculus in a biological context without reducing the course level. It is a calculus text, written so that a math professor without a biology background can teach from it successfully. New concepts are introduced in a three step manner. First, a biological example motivates the topic; second, the topic is then developed via a simple mathematical example; and third the concept is tied to deeper biological examples. This allows students: to see why a concept is important; to understand how to use the concept computationally; to make sure that they can apply the concept.
Book Synopsis Calculus for Biology and Medicine by : Claudia Neuhauser
Download or read book Calculus for Biology and Medicine written by Claudia Neuhauser and published by Addison-Wesley Longman. This book was released on 2010-01-01 with total page 840 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edition features the exact same content as the traditional text in a convenient, three-hole- punched, loose-leaf version. Books à la Carte also offer a great value–this format costs significantly less than a new textbook. Calculus for Biology and Medicine, Third Edition, addresses the needs of readers in the biological sciences by showing them how to use calculus to analyze natural phenomena–without compromising the rigorous presentation of the mathematics. While the table of contents aligns well with a traditional calculus text, all the concepts are presented through biological and medical applications. The text provides readers with the knowledge and skills necessary to analyze and interpret mathematical models of a diverse array of phenomena in the living world. This book is suitable for a wide audience, as all examples were chosen so that no formal training in biology is needed.
Book Synopsis Fractional Calculus in Medical and Health Science by : Devendra Kumar
Download or read book Fractional Calculus in Medical and Health Science written by Devendra Kumar and published by CRC Press. This book was released on 2020-07-09 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers applications of fractional calculus used for medical and health science. It offers a collection of research articles built into chapters on classical and modern dynamical systems formulated by fractional differential equations describing human diseases and how to control them. The mathematical results included in the book will be helpful to mathematicians and doctors by enabling them to explain real-life problems accurately. The book will also offer case studies of real-life situations with an emphasis on describing the mathematical results and showing how to apply the results to medical and health science, and at the same time highlighting modeling strategies. The book will be useful to graduate level students, educators and researchers interested in mathematics and medical science.
Book Synopsis Calculus for Biology and Medicine by : Claudia Neuhauser
Download or read book Calculus for Biology and Medicine written by Claudia Neuhauser and published by . This book was released on 2003-05-01 with total page 766 pages. Available in PDF, EPUB and Kindle. Book excerpt: For a two-semester course in Calculus for Life Sciences. The first calculus text that adequately addresses the special needs of students in the biological sciences, this volume teaches calculus in the biology context without compromising the level of regular calculus. It is a essentially a calculus text, written so that a math professor without a biology background can teach from it successfully. The material is organized in the standard way and explains how the different concepts are logically related. Each new concept is typically introduced with a biological example; the concept is then developed without the biological context and then the concept is tied into additional biological examples. This allows students to first see why a certain concept is important, then lets them focus on how to use the concepts without getting distracted by applications, and then, once students feel more comfortable with the concepts, it revisits the biological applications to make sure that they can apply the concepts. The text features exceptionally detailed, step-by-step, worked-out examples and a variety of problems, including an unusually large number of word problems in a biological context.
Book Synopsis Calculus for Biology and Medicine by : Claudia Neuhauser
Download or read book Calculus for Biology and Medicine written by Claudia Neuhauser and published by Pearson. This book was released on 2018-01-12 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: NOTE: This edition features the same content as the traditional text in a convenient, three-hole-punched, loose-leaf version. Books a la Carte also offer a great value; this format costs significantly less than a new textbook. Before purchasing, check with your instructor or review your course syllabus to ensure that you select the correct ISBN. For Books a la Carte editions that include MyLab(TM) or Mastering(TM), several versions may exist for each title - including customized versions for individual schools - and registrations are not transferable. In addition, you may need a Course ID, provided by your instructor, to register for and use MyLab or Mastering products. For one-semester or two-semester courses in Calculus for Life Sciences. Shows students how calculus is used to analyze phenomena in nature--while providing flexibility for instructors to teach at their desired level of rigor Calculus for Biology and Medicine motivates life and health science majors to learn calculus through relevant and strategically placed applications to their chosen fields. It presents the calculus in such a way that the level of rigor can be adjusted to meet the specific needs of the audience, from a purely applied course to one that matches the rigor of the standard calculus track. In the 4th Edition, new co-author Marcus Roper (UCLA) partners with author Claudia Neuhauser to preserve these strengths while adding an unprecedented number of real applications and infusing more modeling and technology. Also available with MyLab Math MyLab(TM) Math is the teaching and learning platform that empowers you to reach every student. By combining trusted author content with digital tools and a flexible platform, MyLab Math personalizes the learning experience and improves results for each student. For the first time, instructors teaching with Calculus for Biology and Medicine can assign text-specific online homework and other resources to students outside of the classroom. Learn more about MyLab Math.
Book Synopsis Calculus for the Life Sciences: A Modeling Approach by : James L. Cornette
Download or read book Calculus for the Life Sciences: A Modeling Approach written by James L. Cornette and published by American Mathematical Soc.. This book was released on 2019-05-25 with total page 713 pages. Available in PDF, EPUB and Kindle. Book excerpt: Calculus for the Life Sciences is an entire reimagining of the standard calculus sequence with the needs of life science students as the fundamental organizing principle. Those needs, according to the National Academy of Science, include: the mathematical concepts of change, modeling, equilibria and stability, structure of a system, interactions among components, data and measurement, visualization, and algorithms. This book addresses, in a deep and significant way, every concept on that list. The book begins with a primer on modeling in the biological realm and biological modeling is the theme and frame for the entire book. The authors build models of bacterial growth, light penetration through a column of water, and dynamics of a colony of mold in the first few pages. In each case there is actual data that needs fitting. In the case of the mold colony that data is a set of photographs of the colony growing on a ruled sheet of graph paper and the students need to make their own approximations. Fundamental questions about the nature of mathematical modeling—trying to approximate a real-world phenomenon with an equation—are all laid out for the students to wrestle with. The authors have produced a beautifully written introduction to the uses of mathematics in the life sciences. The exposition is crystalline, the problems are overwhelmingly from biology and interesting and rich, and the emphasis on modeling is pervasive. An instructor's manual for this title is available electronically to those instructors who have adopted the textbook for classroom use. Please send email to [email protected] for more information. Online question content and interactive step-by-step tutorials are available for this title in WebAssign. WebAssign is a leading provider of online instructional tools for both faculty and students.
Download or read book Modeling Life written by Alan Garfinkel and published by Springer. This book was released on 2017-09-06 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops the mathematical tools essential for students in the life sciences to describe interacting systems and predict their behavior. From predator-prey populations in an ecosystem, to hormone regulation within the body, the natural world abounds in dynamical systems that affect us profoundly. Complex feedback relations and counter-intuitive responses are common in nature; this book develops the quantitative skills needed to explore these interactions. Differential equations are the natural mathematical tool for quantifying change, and are the driving force throughout this book. The use of Euler’s method makes nonlinear examples tractable and accessible to a broad spectrum of early-stage undergraduates, thus providing a practical alternative to the procedural approach of a traditional Calculus curriculum. Tools are developed within numerous, relevant examples, with an emphasis on the construction, evaluation, and interpretation of mathematical models throughout. Encountering these concepts in context, students learn not only quantitative techniques, but how to bridge between biological and mathematical ways of thinking. Examples range broadly, exploring the dynamics of neurons and the immune system, through to population dynamics and the Google PageRank algorithm. Each scenario relies only on an interest in the natural world; no biological expertise is assumed of student or instructor. Building on a single prerequisite of Precalculus, the book suits a two-quarter sequence for first or second year undergraduates, and meets the mathematical requirements of medical school entry. The later material provides opportunities for more advanced students in both mathematics and life sciences to revisit theoretical knowledge in a rich, real-world framework. In all cases, the focus is clear: how does the math help us understand the science?
Book Synopsis Calculus For Biology and Medicine: Pearson New International Edition PDF eBook by : Claudia Neuhauser
Download or read book Calculus For Biology and Medicine: Pearson New International Edition PDF eBook written by Claudia Neuhauser and published by Pearson Higher Ed. This book was released on 2013-08-27 with total page 707 pages. Available in PDF, EPUB and Kindle. Book excerpt: For a two-semester or three-semester course in Calculus for Life Sciences. Calculus for Biology and Medicine, Third Edition, addresses the needs of students in the biological sciences by showing them how to use calculus to analyze natural phenomena–without compromising the rigorous presentation of the mathematics. While the table of contents aligns well with a traditional calculus text, all the concepts are presented through biological and medical applications. The text provides students with the knowledge and skills necessary to analyze and interpret mathematical models of a diverse array of phenomena in the living world. Since this text is written for college freshmen, the examples were chosen so that no formal training in biology is needed.
Author :Frank C. Hoppensteadt Publisher :Springer Science & Business Media ISBN 13 :0387215719 Total Pages :362 pages Book Rating :4.3/5 (872 download)
Book Synopsis Modeling and Simulation in Medicine and the Life Sciences by : Frank C. Hoppensteadt
Download or read book Modeling and Simulation in Medicine and the Life Sciences written by Frank C. Hoppensteadt and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: The result of lectures given by the authors at New York University, the University of Utah, and Michigan State University, the material is written for students who have had only one term of calculus, but it contains material that can be used in modeling courses in applied mathematics at all levels through early graduate courses. Numerous exercises are given as well as solutions to selected exercises, so as to lead readers to discover interesting extensions of that material. Throughout, illustrations depict physiological processes, population biology phenomena, corresponding models, and the results of computer simulations. Topics covered range from population phenomena to demographics, genetics, epidemics and dispersal; in physiological processes, including the circulation, gas exchange in the lungs, control of cell volume, the renal counter-current multiplier mechanism, and muscle mechanics; to mechanisms of neural control. Each chapter is graded in difficulty, so a reading of the first parts of each provides an elementary introduction to the processes and their models.
Book Synopsis Mathematical Modeling in Systems Biology by : Brian P. Ingalls
Download or read book Mathematical Modeling in Systems Biology written by Brian P. Ingalls and published by MIT Press. This book was released on 2022-06-07 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the mathematical concepts and techniques needed for the construction and analysis of models in molecular systems biology. Systems techniques are integral to current research in molecular cell biology, and system-level investigations are often accompanied by mathematical models. These models serve as working hypotheses: they help us to understand and predict the behavior of complex systems. This book offers an introduction to mathematical concepts and techniques needed for the construction and interpretation of models in molecular systems biology. It is accessible to upper-level undergraduate or graduate students in life science or engineering who have some familiarity with calculus, and will be a useful reference for researchers at all levels. The first four chapters cover the basics of mathematical modeling in molecular systems biology. The last four chapters address specific biological domains, treating modeling of metabolic networks, of signal transduction pathways, of gene regulatory networks, and of electrophysiology and neuronal action potentials. Chapters 3–8 end with optional sections that address more specialized modeling topics. Exercises, solvable with pen-and-paper calculations, appear throughout the text to encourage interaction with the mathematical techniques. More involved end-of-chapter problem sets require computational software. Appendixes provide a review of basic concepts of molecular biology, additional mathematical background material, and tutorials for two computational software packages (XPPAUT and MATLAB) that can be used for model simulation and analysis.
Book Synopsis Essential Mathematical Biology by : Nicholas F. Britton
Download or read book Essential Mathematical Biology written by Nicholas F. Britton and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained introduction to the fast-growing field of Mathematical Biology is written for students with a mathematical background. It sets the subject in a historical context and guides the reader towards questions of current research interest. A broad range of topics is covered including: Population dynamics, Infectious diseases, Population genetics and evolution, Dispersal, Molecular and cellular biology, Pattern formation, and Cancer modelling. Particular attention is paid to situations where the simple assumptions of homogenity made in early models break down and the process of mathematical modelling is seen in action.
Book Synopsis Physics in Biology and Medicine by : Paul Davidovits
Download or read book Physics in Biology and Medicine written by Paul Davidovits and published by Academic Press. This book was released on 2008 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This third edition covers topics in physics as they apply to the life sciences, specifically medicine, physiology, nursing and other applied health fields. It includes many figures, examples and illustrative problems and appendices which provide convenient access to the most important concepts of mechanics, electricity, and optics.
Book Synopsis Mathematics for the Life Sciences by : Erin N. Bodine
Download or read book Mathematics for the Life Sciences written by Erin N. Bodine and published by Princeton University Press. This book was released on 2014-08-17 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible undergraduate textbook on the essential math concepts used in the life sciences The life sciences deal with a vast array of problems at different spatial, temporal, and organizational scales. The mathematics necessary to describe, model, and analyze these problems is similarly diverse, incorporating quantitative techniques that are rarely taught in standard undergraduate courses. This textbook provides an accessible introduction to these critical mathematical concepts, linking them to biological observation and theory while also presenting the computational tools needed to address problems not readily investigated using mathematics alone. Proven in the classroom and requiring only a background in high school math, Mathematics for the Life Sciences doesn't just focus on calculus as do most other textbooks on the subject. It covers deterministic methods and those that incorporate uncertainty, problems in discrete and continuous time, probability, graphing and data analysis, matrix modeling, difference equations, differential equations, and much more. The book uses MATLAB throughout, explaining how to use it, write code, and connect models to data in examples chosen from across the life sciences. Provides undergraduate life science students with a succinct overview of major mathematical concepts that are essential for modern biology Covers all the major quantitative concepts that national reports have identified as the ideal components of an entry-level course for life science students Provides good background for the MCAT, which now includes data-based and statistical reasoning Explicitly links data and math modeling Includes end-of-chapter homework problems, end-of-unit student projects, and select answers to homework problems Uses MATLAB throughout, and MATLAB m-files with an R supplement are available online Prepares students to read with comprehension the growing quantitative literature across the life sciences A solutions manual for professors and an illustration package is available
Book Synopsis Mathematics for Life Science and Medicine by : Yasuhiro Takeuchi
Download or read book Mathematics for Life Science and Medicine written by Yasuhiro Takeuchi and published by Springer Science & Business Media. This book was released on 2007-01-25 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this volume is to present and discuss the many rich properties of the dynamical systems that appear in life science and medicine. It provides a fascinating survey of the theory of dynamical systems in biology and medicine. Each chapter will serve to introduce students and scholars to the state-of-the-art in an exciting area, to present new results, and to inspire future contributions to mathematical modeling in life science and medicine.
