An Introduction to the Mathematics of Medicine and Biology

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Publisher :
ISBN 13 : 9780758100115
Total Pages : 663 pages
Book Rating : 4.1/5 (1 download)

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Book Synopsis An Introduction to the Mathematics of Medicine and Biology by : J. G. Defares

Download or read book An Introduction to the Mathematics of Medicine and Biology written by J. G. Defares and published by . This book was released on 2003-01 with total page 663 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Introduction to the Mathematics of Medicine and Biology

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Publisher :
ISBN 13 :
Total Pages : 700 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis An Introduction to the Mathematics of Medicine and Biology by : J. G. Defares

Download or read book An Introduction to the Mathematics of Medicine and Biology written by J. G. Defares and published by . This book was released on 1973 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematics in Medicine and the Life Sciences

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Publisher : Springer Science & Business Media
ISBN 13 : 1475741316
Total Pages : 257 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Mathematics in Medicine and the Life Sciences by : Frank C. Hoppensteadt

Download or read book Mathematics in Medicine and the Life Sciences written by Frank C. Hoppensteadt and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Introduction to Mathematical Biology

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Publisher : Springer
ISBN 13 : 3319296388
Total Pages : 172 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Introduction to Mathematical Biology by : Ching Shan Chou

Download or read book Introduction to Mathematical Biology written by Ching Shan Chou and published by Springer. This book was released on 2016-04-27 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on a one semester course that the authors have been teaching for several years, and includes two sets of case studies. The first includes chemostat models, predator-prey interaction, competition among species, the spread of infectious diseases, and oscillations arising from bifurcations. In developing these topics, readers will also be introduced to the basic theory of ordinary differential equations, and how to work with MATLAB without having any prior programming experience. The second set of case studies were adapted from recent and current research papers to the level of the students. Topics have been selected based on public health interest. This includes the risk of atherosclerosis associated with high cholesterol levels, cancer and immune interactions, cancer therapy, and tuberculosis. Readers will experience how mathematical models and their numerical simulations can provide explanations that guide biological and biomedical research. Considered to be the undergraduate companion to the more advanced book "Mathematical Modeling of Biological Processes" (A. Friedman, C.-Y. Kao, Springer – 2014), this book is geared towards undergraduate students with little background in mathematics and no biological background.

Mathematical Modeling in Systems Biology

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Publisher : MIT Press
ISBN 13 : 0262545829
Total Pages : 423 pages
Book Rating : 4.2/5 (625 download)

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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.

An Introduction to Mathematical Physiology and Biology

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Publisher : Cambridge University Press
ISBN 13 : 9780521646758
Total Pages : 244 pages
Book Rating : 4.6/5 (467 download)

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Book Synopsis An Introduction to Mathematical Physiology and Biology by : J. Mazumdar

Download or read book An Introduction to Mathematical Physiology and Biology written by J. Mazumdar and published by Cambridge University Press. This book was released on 1999-08-19 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: A textbook about the mathematical modelling of biological and physiological phenomena for mathematically sophisticated students.

Mathematics in Medicine and the Life Sciences

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Publisher :
ISBN 13 : 9781475741322
Total Pages : 270 pages
Book Rating : 4.7/5 (413 download)

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Book Synopsis Mathematics in Medicine and the Life Sciences by : Frank C. Hoppensteadt

Download or read book Mathematics in Medicine and the Life Sciences written by Frank C. Hoppensteadt and published by . This book was released on 2014-01-15 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Modeling and Simulation in Medicine and the Life Sciences

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Publisher : Springer Science & Business Media
ISBN 13 : 0387215719
Total Pages : 362 pages
Book Rating : 4.3/5 (872 download)

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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.

Mathematics for Life Science and Medicine

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Publisher : Springer Science & Business Media
ISBN 13 : 3540344268
Total Pages : 232 pages
Book Rating : 4.5/5 (43 download)

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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.

An Introduction to Mathematics of Emerging Biomedical Imaging

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Publisher : Springer Science & Business Media
ISBN 13 : 3540795537
Total Pages : 198 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis An Introduction to Mathematics of Emerging Biomedical Imaging by : Habib Ammari

Download or read book An Introduction to Mathematics of Emerging Biomedical Imaging written by Habib Ammari and published by Springer Science & Business Media. This book was released on 2008-05-21 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: Biomedical imaging is a fascinating research area to applied mathematicians. Challenging imaging problems arise and they often trigger the investigation of fundamental problems in various branches of mathematics. This is the first book to highlight the most recent mathematical developments in emerging biomedical imaging techniques. The main focus is on emerging multi-physics and multi-scales imaging approaches. For such promising techniques, it provides the basic mathematical concepts and tools for image reconstruction. Further improvements in these exciting imaging techniques require continued research in the mathematical sciences, a field that has contributed greatly to biomedical imaging and will continue to do so. The volume is suitable for a graduate-level course in applied mathematics and helps prepare the reader for a deeper understanding of research areas in biomedical imaging.

An Introduction to Mathematical Biology

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Publisher : Pearson
ISBN 13 : 9780130352163
Total Pages : 0 pages
Book Rating : 4.3/5 (521 download)

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Book Synopsis An Introduction to Mathematical Biology by : Linda J. S. Allen

Download or read book An Introduction to Mathematical Biology written by Linda J. S. Allen and published by Pearson. This book was released on 2007 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: For advanced undergraduate and beginning graduate courses on Modeling offered in departments of Mathematics. This text introduces a variety of mathematical models for biological systems, and presents the mathematical theory and techniques useful in analyzing those models. Material is organized according to the mathematical theory rather than the biological application. Undergraduate courses in calculus, linear algebra, and differential equations are assumed.

An Introduction to Systems Biology

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Publisher : CRC Press
ISBN 13 : 1584886420
Total Pages : 324 pages
Book Rating : 4.5/5 (848 download)

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Book Synopsis An Introduction to Systems Biology by : Uri Alon

Download or read book An Introduction to Systems Biology written by Uri Alon and published by CRC Press. This book was released on 2006-07-07 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thorough and accessible, this book presents the design principles of biological systems, and highlights the recurring circuit elements that make up biological networks. It provides a simple mathematical framework which can be used to understand and even design biological circuits. The textavoids specialist terms, focusing instead on several well-studied biological systems that concisely demonstrate key principles. An Introduction to Systems Biology: Design Principles of Biological Circuits builds a solid foundation for the intuitive understanding of general principles. It encourages the reader to ask why a system is designed in a particular way and then proceeds to answer with simplified models.

Introduction to Mathematical Oncology

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Publisher : CRC Press
ISBN 13 : 1315361981
Total Pages : 472 pages
Book Rating : 4.3/5 (153 download)

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Book Synopsis Introduction to Mathematical Oncology by : Yang Kuang

Download or read book Introduction to Mathematical Oncology written by Yang Kuang and published by CRC Press. This book was released on 2018-09-03 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Mathematical Oncology presents biologically well-motivated and mathematically tractable models that facilitate both a deep understanding of cancer biology and better cancer treatment designs. It covers the medical and biological background of the diseases, modeling issues, and existing methods and their limitations. The authors introduce mathematical and programming tools, along with analytical and numerical studies of the models. They also develop new mathematical tools and look to future improvements on dynamical models. After introducing the general theory of medicine and exploring how mathematics can be essential in its understanding, the text describes well-known, practical, and insightful mathematical models of avascular tumor growth and mathematically tractable treatment models based on ordinary differential equations. It continues the topic of avascular tumor growth in the context of partial differential equation models by incorporating the spatial structure and physiological structure, such as cell size. The book then focuses on the recent active multi-scale modeling efforts on prostate cancer growth and treatment dynamics. It also examines more mechanistically formulated models, including cell quota-based population growth models, with applications to real tumors and validation using clinical data. The remainder of the text presents abundant additional historical, biological, and medical background materials for advanced and specific treatment modeling efforts. Extensively classroom-tested in undergraduate and graduate courses, this self-contained book allows instructors to emphasize specific topics relevant to clinical cancer biology and treatment. It can be used in a variety of ways, including a single-semester undergraduate course, a more ambitious graduate course, or a full-year sequence on mathematical oncology.

Calculus for Biology and Medicine

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Publisher : Prentice Hall
ISBN 13 : 9780130455161
Total Pages : 0 pages
Book Rating : 4.4/5 (551 download)

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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.

Mathematical Biology II

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Publisher : Springer Science & Business Media
ISBN 13 : 0387952284
Total Pages : 834 pages
Book Rating : 4.3/5 (879 download)

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Book Synopsis Mathematical Biology II by : James D. Murray

Download or read book Mathematical Biology II written by James D. Murray and published by Springer Science & Business Media. This book was released on 2011-02-15 with total page 834 pages. Available in PDF, EPUB and Kindle. Book excerpt: This richly illustrated third edition provides a thorough training in practical mathematical biology and shows how exciting mathematical challenges can arise from a genuinely interdisciplinary involvement with the biosciences. It has been extensively updated and extended to cover much of the growth of mathematical biology. From the reviews: ""This book, a classical text in mathematical biology, cleverly combines mathematical tools with subject area sciences."--SHORT BOOK REVIEWS

Introduction to Mathematics for Life Scientists

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Publisher : Springer
ISBN 13 : 9783642962714
Total Pages : 664 pages
Book Rating : 4.9/5 (627 download)

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Book Synopsis Introduction to Mathematics for Life Scientists by : E Batschelet

Download or read book Introduction to Mathematics for Life Scientists written by E Batschelet and published by Springer. This book was released on 2014-01-15 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Mathematics for Life Scientists

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Publisher : Springer Science & Business Media
ISBN 13 : 364296270X
Total Pages : 657 pages
Book Rating : 4.6/5 (429 download)

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Book Synopsis Introduction to Mathematics for Life Scientists by : E. Batschelet

Download or read book Introduction to Mathematics for Life Scientists written by E. Batschelet and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 657 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.