Mathematical Biology

Mathematical Biology Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Mathematical Biology book. This book definitely worth reading, it is an incredibly well-written.

Mathematical Biology: Modeling and Analysis

Fiona Palmer
Mathematical Biology Modeling and Analysis Book PDF

Author : Fiona Palmer
Publisher : Unknown
Page : 0 pages
File Size : 44,9 Mb
Release : 2022-09-13
Category : Electronic
ISBN : 1639873546

Get Book

Mathematical Biology: Modeling and Analysis by Fiona Palmer Pdf

Mathematical biology also known as biomathematics is the sub-field of biology which uses analysis, abstractions and mathematical models to study the principles that influence structure, development and behavior of living organisms. It uses techniques and tools of mathematics to understand complex, non-linear mechanisms in biology. It aims to create models and representations of biological processes which can be used in practical as well as theoretical research. Tools and techniques of applied mathematics are commonly used for creating such models. Some of the areas of research in this field are algebraic biology, complex systems biology, computational neuroscience, abstract relational biology and evolutionary biology. This book explores all the important aspects of this field in the present day scenario. It also strives to provide a fair idea about mathematical biology and to help develop a better understanding of the latest developments within the field. In this book, using case studies and examples, constant effort has been made to make the understanding of the difficult concepts of this discipline as easy and informative as possible, for the readers.

Mathematical Biology

James D. Murray
Mathematical Biology Book PDF

Author : James D. Murray
Publisher : Springer Science & Business Media
Page : 551 pages
File Size : 52,6 Mb
Release : 2007-06-12
Category : Mathematics
ISBN : 9780387224374

Get Book

Mathematical Biology by James D. Murray Pdf

Mathematical Biology is a richly illustrated textbook in an exciting and fast growing field. Providing an in-depth look at the practical use of math modeling, it features exercises throughout that are drawn from a variety of bioscientific disciplines - population biology, developmental biology, physiology, epidemiology, and evolution, among others. It maintains a consistent level throughout so that graduate students can use it to gain a foothold into this dynamic research area.

Mathematical Tools for Understanding Infectious Disease Dynamics

Odo Diekmann,Hans Heesterbeek,Tom Britton
Mathematical Tools for Understanding Infectious Disease Dynamics Book PDF

Author : Odo Diekmann,Hans Heesterbeek,Tom Britton
Publisher : Princeton University Press
Page : 516 pages
File Size : 55,7 Mb
Release : 2013
Category : Mathematics
ISBN : 9780691155395

Get Book

Mathematical Tools for Understanding Infectious Disease Dynamics by Odo Diekmann,Hans Heesterbeek,Tom Britton Pdf

This book explains how to translate biological assumptions into mathematics to construct useful and consistent models, and how to use the biological interpretation and mathematical reasoning to analyze these models. It shows how to relate models to data through statistical inference, and how to gain important insights into infectious disease dynamics by translating mathematical results back to biology.

Mathematical Biology II

James D. Murray
Mathematical Biology II Book PDF

Author : James D. Murray
Publisher : Springer Science & Business Media
Page : 834 pages
File Size : 48,9 Mb
Release : 2011-02-15
Category : Mathematics
ISBN : 9780387952284

Get Book

Mathematical Biology II by James D. Murray Pdf

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

Essential Mathematical Biology

Nicholas F. Britton
Essential Mathematical Biology Book PDF

Author : Nicholas F. Britton
Publisher : Springer Science & Business Media
Page : 335 pages
File Size : 51,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781447100492

Get Book

Essential Mathematical Biology by Nicholas F. Britton Pdf

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.

Mathematical Models in Biology

Leah Edelstein-Keshet
Mathematical Models in Biology Book PDF

Author : Leah Edelstein-Keshet
Publisher : SIAM
Page : 629 pages
File Size : 47,9 Mb
Release : 1988-01-01
Category : Mathematics
ISBN : 0898719143

Get Book

Mathematical Models in Biology by Leah Edelstein-Keshet Pdf

Mathematical Models in Biology is an introductory book for readers interested in biological applications of mathematics and modeling in biology. A favorite in the mathematical biology community, it shows how relatively simple mathematics can be applied to a variety of models to draw interesting conclusions. Connections are made between diverse biological examples linked by common mathematical themes. A variety of discrete and continuous ordinary and partial differential equation models are explored. Although great advances have taken place in many of the topics covered, the simple lessons contained in this book are still important and informative. Audience: the book does not assume too much background knowledge--essentially some calculus and high-school algebra. It was originally written with third- and fourth-year undergraduate mathematical-biology majors in mind; however, it was picked up by beginning graduate students as well as researchers in math (and some in biology) who wanted to learn about this field.

Introduction to Mathematical Biology

Ching Shan Chou,Avner Friedman
Introduction to Mathematical Biology Book PDF

Author : Ching Shan Chou,Avner Friedman
Publisher : Springer
Page : 172 pages
File Size : 45,5 Mb
Release : 2016-04-27
Category : Mathematics
ISBN : 9783319296388

Get Book

Introduction to Mathematical Biology by Ching Shan Chou,Avner Friedman Pdf

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.

A Course in Mathematical Biology

Gerda de Vries,Thomas Hillen,Mark Lewis,Johannes M?ller,Birgitt Sch?nfisch
A Course in Mathematical Biology Book PDF

Author : Gerda de Vries,Thomas Hillen,Mark Lewis,Johannes M?ller,Birgitt Sch?nfisch
Publisher : SIAM
Page : 307 pages
File Size : 46,8 Mb
Release : 2006-07-01
Category : Mathematics
ISBN : 9780898716122

Get Book

A Course in Mathematical Biology by Gerda de Vries,Thomas Hillen,Mark Lewis,Johannes M?ller,Birgitt Sch?nfisch Pdf

This is the only book that teaches all aspects of modern mathematical modeling and that is specifically designed to introduce undergraduate students to problem solving in the context of biology. Included is an integrated package of theoretical modeling and analysis tools, computational modeling techniques, and parameter estimation and model validation methods, with a focus on integrating analytical and computational tools in the modeling of biological processes. Divided into three parts, it covers basic analytical modeling techniques; introduces computational tools used in the modeling of biological problems; and includes various problems from epidemiology, ecology, and physiology. All chapters include realistic biological examples, including many exercises related to biological questions. In addition, 25 open-ended research projects are provided, suitable for students. An accompanying Web site contains solutions and a tutorial for the implementation of the computational modeling techniques. Calculations can be done in modern computing languages such as Maple, Mathematica, and MATLAB?.

Mathematical Biology

James D. Murray
Mathematical Biology Book PDF

Author : James D. Murray
Publisher : Springer Science & Business Media
Page : 783 pages
File Size : 47,9 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9783662085424

Get Book

Mathematical Biology by James D. Murray Pdf

Mathematics has always benefited from its involvement with developing sciences. Each successive interaction revitalises and enhances the field. Biomedical science is clearly the premier science of the foreseeable future. For the continuing health of their subject mathematicians must become involved with biology. With the example of how mathematics has benefited from and influenced physics, it is clear that if mathematicians do not become involved in the biosciences they will simply not be a part of what are likely to be the most important and exciting scientific discoveries of all time. Mathematical biology is a fast growing, well recognised, albeit not clearly defined, subject and is, to my mind, the most exciting modern application of mathematics. The increasing use of mathematics in biology is inevitable as biol ogy becomes more quantitative. The complexity of the biological sciences makes interdisciplinary involvement essential. For the mathematician, biology opens up new and exciting branches while for the biologist mathematical modelling offers another research tool commmensurate with a new powerful laboratory technique but only if used appropriately and its limitations recognised. However, the use of esoteric mathematics arrogantly applied to biological problems by mathemati cians who know little about the real biology, together with unsubstantiated claims as to how important such theories are, does little to promote the interdisciplinary involvement which is so essential. Mathematical biology research, to be useful and interesting, must be relevant biologically.

Mathematical Biology

Ronald W. Shonkwiler,James Herod
Mathematical Biology Book PDF

Author : Ronald W. Shonkwiler,James Herod
Publisher : Springer Science & Business Media
Page : 551 pages
File Size : 42,8 Mb
Release : 2009-08-04
Category : Science
ISBN : 9780387709840

Get Book

Mathematical Biology by Ronald W. Shonkwiler,James Herod Pdf

This text presents mathematical biology as a field with a unity of its own, rather than only the intrusion of one science into another. The book focuses on problems of contemporary interest, such as cancer, genetics, and the rapidly growing field of genomics.

An Introduction to Mathematical Biology

Linda J. S. Allen
An Introduction to Mathematical Biology Book PDF

Author : Linda J. S. Allen
Publisher : Pearson
Page : 0 pages
File Size : 45,8 Mb
Release : 2007
Category : Biology
ISBN : 0130352160

Get Book

An Introduction to Mathematical Biology by Linda J. S. Allen Pdf

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.

Differential Equations and Mathematical Biology

D.S. Jones,Michael Plank,B.D. Sleeman
Differential Equations and Mathematical Biology Book PDF

Author : D.S. Jones,Michael Plank,B.D. Sleeman
Publisher : CRC Press
Page : 462 pages
File Size : 45,7 Mb
Release : 2009-11-09
Category : Mathematics
ISBN : 9781420083583

Get Book

Differential Equations and Mathematical Biology by D.S. Jones,Michael Plank,B.D. Sleeman Pdf

Deepen students' understanding of biological phenomenaSuitable for courses on differential equations with applications to mathematical biology or as an introduction to mathematical biology, Differential Equations and Mathematical Biology, Second Edition introduces students in the physical, mathematical, and biological sciences to fundamental modeli

Topics in Mathematical Biology

Karl Peter Hadeler
Topics in Mathematical Biology Book PDF

Author : Karl Peter Hadeler
Publisher : Springer
Page : 353 pages
File Size : 45,5 Mb
Release : 2017-12-20
Category : Mathematics
ISBN : 9783319656212

Get Book

Topics in Mathematical Biology by Karl Peter Hadeler Pdf

This book analyzes the impact of quiescent phases on biological models. Quiescence arises, for example, when moving individuals stop moving, hunting predators take a rest, infected individuals are isolated, or cells enter the quiescent compartment of the cell cycle. In the first chapter of Topics in Mathematical Biology general principles about coupled and quiescent systems are derived, including results on shrinking periodic orbits and stabilization of oscillations via quiescence. In subsequent chapters classical biological models are presented in detail and challenged by the introduction of quiescence. These models include delay equations, demographic models, age structured models, Lotka-Volterra systems, replicator systems, genetic models, game theory, Nash equilibria, evolutionary stable strategies, ecological models, epidemiological models, random walks and reaction-diffusion models. In each case we find new and interesting results such as stability of fixed points and/or periodic orbits, excitability of steady states, epidemic outbreaks, survival of the fittest, and speeds of invading fronts. The textbook is intended for graduate students and researchers in mathematical biology who have a solid background in linear algebra, differential equations and dynamical systems. Readers can find gems of unexpected beauty within these pages, and those who knew K.P. (as he was often called) well will likely feel his presence and hear him speaking to them as they read.

Mathematical Modeling in Systems Biology

Brian P. Ingalls
Mathematical Modeling in Systems Biology Book PDF

Author : Brian P. Ingalls
Publisher : MIT Press
Page : 423 pages
File Size : 43,6 Mb
Release : 2022-06-07
Category : Science
ISBN : 9780262545822

Get Book

Mathematical Modeling in Systems Biology by Brian P. Ingalls Pdf

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.

Mathematical Methods in Biology

J. David Logan,William Wolesensky
Mathematical Methods in Biology Book PDF

Author : J. David Logan,William Wolesensky
Publisher : John Wiley & Sons
Page : 437 pages
File Size : 51,7 Mb
Release : 2009-08-17
Category : Science
ISBN : 9780470525876

Get Book

Mathematical Methods in Biology by J. David Logan,William Wolesensky Pdf

A one-of-a-kind guide to using deterministic and probabilistic methods for solving problems in the biological sciences Highlighting the growing relevance of quantitative techniques in scientific research, Mathematical Methods in Biology provides an accessible presentation of the broad range of important mathematical methods for solving problems in the biological sciences. The book reveals the growing connections between mathematics and biology through clear explanations and specific, interesting problems from areas such as population dynamics, foraging theory, and life history theory. The authors begin with an introduction and review of mathematical tools that are employed in subsequent chapters, including biological modeling, calculus, differential equations, dimensionless variables, and descriptive statistics. The following chapters examine standard discrete and continuous models using matrix algebra as well as difference and differential equations. Finally, the book outlines probability, statistics, and stochastic methods as well as material on bootstrapping and stochastic differential equations, which is a unique approach that is not offered in other literature on the topic. In order to demonstrate the application of mathematical methods to the biological sciences, the authors provide focused examples from the field of theoretical ecology, which serve as an accessible context for study while also demonstrating mathematical skills that are applicable to many other areas in the life sciences. The book's algorithms are illustrated using MATLAB®, but can also be replicated using other software packages, including R, Mathematica®, and Maple; however, the text does not require any single computer algebra package. Each chapter contains numerous exercises and problems that range in difficulty, from the basic to more challenging, to assist readers with building their problem-solving skills. Selected solutions are included at the back of the book, and a related Web site features supplemental material for further study. Extensively class-tested to ensure an easy-to-follow format, Mathematical Methods in Biology is an excellent book for mathematics and biology courses at the upper-undergraduate and graduate levels. It also serves as a valuable reference for researchers and professionals working in the fields of biology, ecology, and biomathematics.