An Introduction To Mathematical Models In The Social And Life Sciences
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Author |
: Jacques Istas |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 170 |
Release |
: 2005-10-04 |
ISBN-10 |
: 9783540278771 |
ISBN-13 |
: 354027877X |
Rating |
: 4/5 (71 Downloads) |
Synopsis Mathematical Modeling for the Life Sciences by : Jacques Istas
Provides a wide range of mathematical models currently used in the life sciences Each model is thoroughly explained and illustrated by example Includes three appendices to allow for independent reading
Author |
: Edward Beltrami |
Publisher |
: Academic Press |
Total Pages |
: 281 |
Release |
: 2013-06-19 |
ISBN-10 |
: 9780124046931 |
ISBN-13 |
: 0124046932 |
Rating |
: 4/5 (31 Downloads) |
Synopsis Mathematical Models for Society and Biology by : Edward Beltrami
Mathematical Models for Society and Biology, 2e, is a useful resource for researchers, graduate students, and post-docs in the applied mathematics and life science fields. Mathematical modeling is one of the major subfields of mathematical biology. A mathematical model may be used to help explain a system, to study the effects of different components, and to make predictions about behavior. Mathematical Models for Society and Biology, 2e, draws on current issues to engagingly relate how to use mathematics to gain insight into problems in biology and contemporary society. For this new edition, author Edward Beltrami uses mathematical models that are simple, transparent, and verifiable. Also new to this edition is an introduction to mathematical notions that every quantitative scientist in the biological and social sciences should know. Additionally, each chapter now includes a detailed discussion on how to formulate a reasonable model to gain insight into the specific question that has been introduced. - Offers 40% more content – 5 new chapters in addition to revisions to existing chapters - Accessible for quick self study as well as a resource for courses in molecular biology, biochemistry, embryology and cell biology, medicine, ecology and evolution, bio-mathematics, and applied math in general - Features expanded appendices with an extensive list of references, solutions to selected exercises in the book, and further discussion of various mathematical methods introduced in the book
Author |
: Michael Olinick |
Publisher |
: Addison Wesley Publishing Company |
Total Pages |
: 488 |
Release |
: 1978 |
ISBN-10 |
: UCAL:B4451410 |
ISBN-13 |
: |
Rating |
: 4/5 (10 Downloads) |
Synopsis An Introduction to Mathematical Models in the Social and Life Sciences by : Michael Olinick
Author |
: Alan Garfinkel |
Publisher |
: Springer |
Total Pages |
: 456 |
Release |
: 2017-09-06 |
ISBN-10 |
: 9783319597317 |
ISBN-13 |
: 3319597310 |
Rating |
: 4/5 (17 Downloads) |
Synopsis Modeling Life by : Alan Garfinkel
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 |
: Frank C. Hoppensteadt |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 362 |
Release |
: 2012-12-06 |
ISBN-10 |
: 9780387215716 |
ISBN-13 |
: 0387215719 |
Rating |
: 4/5 (16 Downloads) |
Synopsis Modeling and Simulation in Medicine and the Life Sciences by : Frank C. Hoppensteadt
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 |
: Michael Olinick |
Publisher |
: John Wiley & Sons |
Total Pages |
: 594 |
Release |
: 2014-05-05 |
ISBN-10 |
: 9781118642696 |
ISBN-13 |
: 1118642694 |
Rating |
: 4/5 (96 Downloads) |
Synopsis Mathematical Modeling in the Social and Life Sciences by : Michael Olinick
Olinick’s Mathematical Models in the Social and Life Sciences concentrates not on physical models, but on models found in biology, social science, and daily life. This text concentrates on a relatively small number of models to allow students to study them critically and in depth, and balances practice and theory in its approach. Each chapter concluded with suggested projects that encourage students to build their own models, and space is set aside for historical and biographical notes about the development of mathematical models.
Author |
: James L. Cornette |
Publisher |
: MAA Press |
Total Pages |
: 713 |
Release |
: 2015-12-30 |
ISBN-10 |
: 1614446156 |
ISBN-13 |
: 9781614446156 |
Rating |
: 4/5 (56 Downloads) |
Synopsis Calculus for the Life Sciences by : James L. Cornette
Freshman and sophomore life sciences students respond well to the modeling approach to calculus, difference equations, and differential equations presented in this book. Examples of population dynamics, pharmacokinetics, and biologically relevant physical processes are introduced in Chapter 1, and these and other life sciences topics are developed throughout the text. The students should have studied algebra, geometry, and trigonometry, but may be life sciences students because they have not enjoyed their previous mathematics courses.
Author |
: Edward A. Bender |
Publisher |
: Courier Corporation |
Total Pages |
: 273 |
Release |
: 2012-05-23 |
ISBN-10 |
: 9780486137124 |
ISBN-13 |
: 0486137120 |
Rating |
: 4/5 (24 Downloads) |
Synopsis An Introduction to Mathematical Modeling by : Edward A. Bender
Employing a practical, "learn by doing" approach, this first-rate text fosters the development of the skills beyond the pure mathematics needed to set up and manipulate mathematical models. The author draws on a diversity of fields — including science, engineering, and operations research — to provide over 100 reality-based examples. Students learn from the examples by applying mathematical methods to formulate, analyze, and criticize models. Extensive documentation, consisting of over 150 references, supplements the models, encouraging further research on models of particular interest. The lively and accessible text requires only minimal scientific background. Designed for senior college or beginning graduate-level students, it assumes only elementary calculus and basic probability theory for the first part, and ordinary differential equations and continuous probability for the second section. All problems require students to study and create models, encouraging their active participation rather than a mechanical approach. Beyond the classroom, this volume will prove interesting and rewarding to anyone concerned with the development of mathematical models or the application of modeling to problem solving in a wide array of applications.
Author |
: Brian P. Ingalls |
Publisher |
: MIT Press |
Total Pages |
: 423 |
Release |
: 2022-06-07 |
ISBN-10 |
: 9780262545822 |
ISBN-13 |
: 0262545829 |
Rating |
: 4/5 (22 Downloads) |
Synopsis Mathematical Modeling in Systems Biology by : Brian P. Ingalls
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.
Author |
: Richard McElreath |
Publisher |
: University of Chicago Press |
Total Pages |
: 429 |
Release |
: 2008-09-15 |
ISBN-10 |
: 9780226558288 |
ISBN-13 |
: 0226558282 |
Rating |
: 4/5 (88 Downloads) |
Synopsis Mathematical Models of Social Evolution by : Richard McElreath
Over the last several decades, mathematical models have become central to the study of social evolution, both in biology and the social sciences. But students in these disciplines often seriously lack the tools to understand them. A primer on behavioral modeling that includes both mathematics and evolutionary theory, Mathematical Models of Social Evolution aims to make the student and professional researcher in biology and the social sciences fully conversant in the language of the field. Teaching biological concepts from which models can be developed, Richard McElreath and Robert Boyd introduce readers to many of the typical mathematical tools that are used to analyze evolutionary models and end each chapter with a set of problems that draw upon these techniques. Mathematical Models of Social Evolution equips behaviorists and evolutionary biologists with the mathematical knowledge to truly understand the models on which their research depends. Ultimately, McElreath and Boyd’s goal is to impart the fundamental concepts that underlie modern biological understandings of the evolution of behavior so that readers will be able to more fully appreciate journal articles and scientific literature, and start building models of their own.