Mathematics In Medicine And The Life Sciences

Author : Frank C. Hoppensteadt,Charles S. Peskin
Publisher : Springer Science & Business Media
Page : 257 pages
File Size : 45,8 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9781475741315

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Mathematics in Medicine and the Life Sciences by Frank C. Hoppensteadt,Charles S. Peskin Pdf

The aim of this book is to introduce the subject of mathematical modeling in the life sciences. It is intended for students of mathematics, the physical sciences, and engineering who are curious about biology. Additionally, it will be useful to students of the life sciences and medicine who are unsatisfied with mere description and who seek an understanding of biological mechanism and dynamics through the use of mathematics. The book will be particularly useful to premedical students, because it will introduce them not only to a collection of mathematical methods but also to an assortment of phenomena involving genetics, epidemics, and the physiology of the heart, lung, and kidney. Because of its introductory character, mathematical prerequisites are kept to a minimum; they involve only what is usually covered in the first semester of a calculus sequence. The authors have drawn on their extensive experience as modelers to select examples which are simple enough to be understood at this elementary level and yet realistic enough to capture the essence of significant biological phenomena drawn from the areas of population dynamics and physiology. Because the models presented are realistic, the book can serve not only as an introduction to mathematical methods but also as a mathematical introduction to the biological material itself. For the student, who enjoys mathematics, such an introduction will be far more stimulating and satisfying than the purely descriptive approach that is traditional in the biological sciences.

Author : Frank C. Hoppensteadt,Charles S. Peskin
Publisher : Springer Science & Business Media
Page : 362 pages
File Size : 45,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9780387215716

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Modeling and Simulation in Medicine and the Life Sciences by Frank C. Hoppensteadt,Charles S. Peskin Pdf

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.

Author : Yasuhiro Takeuchi,Yoh Iwasa,Kazunori Sato
Publisher : Springer Science & Business Media
Page : 232 pages
File Size : 48,9 Mb
Release : 2007-01-25
Category : Mathematics
ISBN : 9783540344261

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Mathematics for Life Science and Medicine by Yasuhiro Takeuchi,Yoh Iwasa,Kazunori Sato Pdf

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.

Author : Frank C. Hoppensteadt,Charles Peskin
Publisher : Unknown
Page : 270 pages
File Size : 52,8 Mb
Release : 2014-01-15
Category : Electronic
ISBN : 1475741324

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Mathematics in Medicine and the Life Sciences by Frank C. Hoppensteadt,Charles Peskin Pdf

Author : Lars Linsen,Hans Hagen,Bernd Hamann
Publisher : Springer Science & Business Media
Page : 346 pages
File Size : 46,5 Mb
Release : 2007-12-27
Category : Medical
ISBN : 9783540726302

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Visualization in Medicine and Life Sciences by Lars Linsen,Hans Hagen,Bernd Hamann Pdf

Visualization technology is becoming increasingly important for medical and biomedical data processing and analysis. The interaction between visualization and medicine is one of the fastest expanding fields, both scientifically and commercially. This book discusses some of the latest visualization techniques and systems for effective analysis of such diverse, large, complex, and multi-source data.

Author : E. Batschelet
Publisher : Springer Science & Business Media
Page : 657 pages
File Size : 45,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642962707

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Introduction to Mathematics for Life Scientists by E. Batschelet Pdf

A few decades ago mathematics played a modest role in life sciences. Today, however, a great variety of mathematical methods is applied in biology and medicine. Practically every mathematical procedure that is useful in physics, chemistry, engineering, and economics has also found an important application in the life sciences. The past and present training of life scientists does by no means reflect this development. However, the impact ofthe fast growing number of applications of mathematical methods makes it indispensable that students in the life sciences are offered a basic training in mathematics, both on the undergraduate and the graduate level. This book is primarily designed as a textbook for an introductory course. Life scientists may also use it as a reference to find mathematical methods suitable to their research problems. Moreover, the book should be appropriate for self-teaching. It will also be a guide for teachers. Numerous references are included to assist the reader in his search for the pertinent literature.

Author : David Phoenix
Publisher : CRC Press
Page : 200 pages
File Size : 49,6 Mb
Release : 2018-10-24
Category : Mathematics
ISBN : 9781351988711

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Introductory Mathematics for the Life Sciences by David Phoenix Pdf

Introductory Mathematics for the Life Sciences offers a straightforward introduction to the mathematical principles needed for studies in the life sciences. Starting with the basics of numbers, fractions, ratios, and percentages, the author explains progressively more sophisticated concepts, from algebra, measurement, and scientific notation through the linear, power, exponential, and logarithmic functions to introductory statistics. Worked examples illustrate concepts, applications, and interpretations, and exercises at the end of each chapter help readers apply and practice the skills they develop. Answers to the exercises are posted at the end of the text.

Author : Erin N. Bodine,Suzanne Lenhart,Louis J. Gross
Publisher : Princeton University Press
Page : 630 pages
File Size : 51,5 Mb
Release : 2014-08-17
Category : Mathematics
ISBN : 9780691150727

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Mathematics for the Life Sciences by Erin N. Bodine,Suzanne Lenhart,Louis J. Gross Pdf

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

Author : Frank C Hoppensteadt,Charles S Peskin
Publisher : Unknown
Page : 372 pages
File Size : 42,9 Mb
Release : 2001-10-05
Category : Electronic
ISBN : 1468493043

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Modeling and Simulation in Medicine and the Life Sciences by Frank C Hoppensteadt,Charles S Peskin Pdf

Author : Alan Garfinkel,Jane Shevtsov,Yina Guo
Publisher : Springer
Page : 445 pages
File Size : 47,8 Mb
Release : 2017-09-06
Category : Mathematics
ISBN : 9783319597317

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Modeling Life by Alan Garfinkel,Jane Shevtsov,Yina Guo Pdf

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?

Author : Devendra Kumar,Jagdev Singh
Publisher : CRC Press
Page : 265 pages
File Size : 51,6 Mb
Release : 2020-07-09
Category : Mathematics
ISBN : 9781000081817

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Fractional Calculus in Medical and Health Science by Devendra Kumar,Jagdev Singh Pdf

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.

Author : Yasuhiro Takeuchi,Yoh Iwasa,Kazunori Sato
Publisher : Springer
Page : 228 pages
File Size : 53,5 Mb
Release : 2006-12-12
Category : Mathematics
ISBN : 354034425X

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Mathematics for Life Science and Medicine by Yasuhiro Takeuchi,Yoh Iwasa,Kazunori Sato Pdf

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.

Author : Charles L. Epstein
Publisher : SIAM
Page : 794 pages
File Size : 42,6 Mb
Release : 2008-01-01
Category : Mathematics
ISBN : 0898717795

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Introduction to the Mathematics of Medical Imaging by Charles L. Epstein Pdf

At the heart of every medical imaging technology is a sophisticated mathematical model of the measurement process and an algorithm to reconstruct an image from the measured data. This book provides a firm foundation in the mathematical tools used to model the measurements and derive the reconstruction algorithms used in most of these modalities. The text uses X-ray computed tomography (X-ray CT) as a 'pedagogical machine' to illustrate important ideas and its extensive discussion of background material makes the more advanced mathematical topics accessible to people with a less formal mathematical education. This new edition contains a chapter on magnetic resonance imaging (MRI), a revised section on the relationship between the continuum and discrete Fourier transforms, an improved description of the gridding method, and new sections on both Grangreat's formula and noise analysis in MR-imaging. Mathematical concepts are illuminated with over 200 illustrations and numerous exercises.

Author : Patricia Wells
Publisher : Society of Nuclear Medicine, Incorporated
Page : 348 pages
File Size : 54,7 Mb
Release : 2011
Category : Nuclear medicine
ISBN : 0932004865

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Practical Mathematics in Nuclear Medicine Technology by Patricia Wells Pdf

"Simplifies the mathematics that technologists and students are likely to encounter in the practice of clinical nuclear medicine technology"--Provided by publisher.

Author : James L. Cornette,Ralph A. Ackerman
Publisher : American Mathematical Soc.
Page : 713 pages
File Size : 46,5 Mb
Release : 2019-05-25
Category : Calculus
ISBN : 9781470451424

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Calculus for the Life Sciences: A Modeling Approach by James L. Cornette,Ralph A. Ackerman Pdf

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.