Mathematical Models in Biology

Author: Leah Edelstein-Keshet

Publisher: SIAM

ISBN: 9780898719147

Category: Biology

Page: 586

View: 8361

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.

A Primer in Mathematical Models in Biology

Author: Lee A. Segel,Leah Edelstein-Keshet

Publisher: SIAM

ISBN: 1611972493

Category: Science

Page: 424

View: 6324

A textbook on mathematical modelling techniques with powerful applications to biology, combining theoretical exposition with exercises and examples.

A Course in Mathematical Biology

Quantitative Modeling with Mathematical and Computational Methods

Author: Gerda de Vries,Thomas Hillen,Mark Lewis,Johannes Mller,Birgitt SchÓnfisch

Publisher: SIAM

ISBN: 0898718252

Category: Mathematics

Page: 309

View: 1851

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 Models for Communicable Diseases

Author: Fred Brauer,Carlos Castillo-Chavez

Publisher: SIAM

ISBN: 1611972418

Category: Mathematics

Page: 270

View: 4422

A self-contained and comprehensive guide to the mathematical modeling of disease transmission, appropriate for graduate students.

Mathematical Biology

I. An Introduction

Author: James D. Murray

Publisher: Springer Science & Business Media

ISBN: 9780387952239

Category: Mathematics

Page: 553

View: 9616

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.

A Biologist's Guide to Mathematical Modeling in Ecology and Evolution

Author: Sarah P. Otto,Troy Day

Publisher: Princeton University Press

ISBN: 1400840910

Category: Science

Page: 744

View: 7880

Thirty years ago, biologists could get by with a rudimentary grasp of mathematics and modeling. Not so today. In seeking to answer fundamental questions about how biological systems function and change over time, the modern biologist is as likely to rely on sophisticated mathematical and computer-based models as traditional fieldwork. In this book, Sarah Otto and Troy Day provide biology students with the tools necessary to both interpret models and to build their own. The book starts at an elementary level of mathematical modeling, assuming that the reader has had high school mathematics and first-year calculus. Otto and Day then gradually build in depth and complexity, from classic models in ecology and evolution to more intricate class-structured and probabilistic models. The authors provide primers with instructive exercises to introduce readers to the more advanced subjects of linear algebra and probability theory. Through examples, they describe how models have been used to understand such topics as the spread of HIV, chaos, the age structure of a country, speciation, and extinction. Ecologists and evolutionary biologists today need enough mathematical training to be able to assess the power and limits of biological models and to develop theories and models themselves. This innovative book will be an indispensable guide to the world of mathematical models for the next generation of biologists. A how-to guide for developing new mathematical models in biology Provides step-by-step recipes for constructing and analyzing models Interesting biological applications Explores classical models in ecology and evolution Questions at the end of every chapter Primers cover important mathematical topics Exercises with answers Appendixes summarize useful rules Labs and advanced material available

An Introduction to Mathematical Modeling in Physiology, Cell Biology, and Immunology

American Mathematical Society, Short Course, January 8-9, 2001, New Orleans, Louisiana

Author: James Sneyd,American Mathematical Society

Publisher: American Mathematical Soc.

ISBN: 9780821867648

Category: Medical

Page: 177

View: 9578

In many respects, biology is the new frontier for applied mathematicians. This book demonstrates the important role mathematics plays in the study of some biological problems. It introduces mathematicians to the biological sciences and provides enough mathematics for bioscientists to appreciate the utility of the modelling approach. The book presents a number of diverse topics, such as neurophysiology, cell biology, immunology, and human genetics. It examines how research is done,what mathematics is used, what the outstanding questions are, and how to enter the field. Also given is a brief historical survey of each topic, putting current research into perspective. The book is suitable for mathematicians and biologists interested in mathematical methods in biology.

Modeling and Simulation

Author: Hartmut Bossel

Publisher: Springer-Verlag

ISBN: 3663108228

Category: Technology & Engineering

Page: 484

View: 3943

This book is the the English Language Version of the very successful German textbook, "Modellbildung und Simulation". It provides a self-contained and complete guide to the methods and mathematical background of modeling and simulation software of dynamic systems. Furthermore, an appropriate simulation software and a collection of dynamic system models (on the accompanying disk) are highlights of the book/software-Package.Dies ist die englischsprachige Ausgabe des sehr erfolgreichen Lehrbuches "Modellbildung und Simulation". Geboten wird eine vollständige Einführung in die Methoden der Simulation dynamischer Systeme, wobei auch der notwendige mathematische Hintergrund vermittelt wird. Außerdem ist eine Simulationssoftware Bestandteil des Werkes; auf der beiliegenden Diskette befinden sich ferner 50 Beispielsysteme ("Systemzoo"), die zur spielerischen Einübung der verwendeten Verfahren hilfreich sind.

Computational Mathematical Modeling

An Integrated Approach Across Scales

Author: Daniela Calvetti,Erkki Somersalo

Publisher: SIAM

ISBN: 1611972477

Category: Mathematics

Page: 234

View: 1571

Interesting real-world mathematical modelling problems are complex and can usually be studied at different scales. The scale at which the investigation is carried out is one of the factors that determines the type of mathematics most appropriate to describe the problem. The book concentrates on two modelling paradigms: the macroscopic, in which phenomena are described in terms of time evolution via ordinary differential equations; and the microscopic, which requires knowledge of random events and probability. The exposition is based on this unorthodox combination of deterministic and probabilistic methodologies, and emphasizes the development of computational skills to construct predictive models. To elucidate the concepts, a wealth of examples, self-study problems, and portions of MATLAB code used by the authors are included. This book, which has been extensively tested by the authors for classroom use, is intended for students in mathematics and the physical sciences at the advanced undergraduate level and above.

Branching Processes

Variation, Growth, and Extinction of Populations

Author: Patsy Haccou,Peter Jagers,Vladimir A. Vatutin

Publisher: Cambridge University Press

ISBN: 9780521832205

Category: Mathematics

Page: 316

View: 457

This book covers the mathematical idea of branching processes, and tailors it for a biological audience.

Books in Print

Author: R.R. Bowker Company

Publisher: N.A


Category: American literature

Page: N.A

View: 1405

Books in print is the major source of information on books currently published and in print in the United States. The database provides the record of forthcoming books, books in-print, and books out-of-print.

Partielle Differentialgleichungen und numerische Methoden

Author: Stig Larsson,Vidar Thomee

Publisher: Springer-Verlag

ISBN: 3540274227

Category: Mathematics

Page: 272

View: 7003

Das Buch ist für Studenten der angewandten Mathematik und der Ingenieurwissenschaften auf Vordiplomniveau geeignet. Der Schwerpunkt liegt auf der Verbindung der Theorie linearer partieller Differentialgleichungen mit der Theorie finiter Differenzenverfahren und der Theorie der Methoden finiter Elemente. Für jede Klasse partieller Differentialgleichungen, d.h. elliptische, parabolische und hyperbolische, enthält der Text jeweils ein Kapitel zur mathematischen Theorie der Differentialgleichung gefolgt von einem Kapitel zu finiten Differenzenverfahren sowie einem zu Methoden der finiten Elemente. Den Kapiteln zu elliptischen Gleichungen geht ein Kapitel zum Zweipunkt-Randwertproblem für gewöhnliche Differentialgleichungen voran. Ebenso ist den Kapiteln zu zeitabhängigen Problemen ein Kapitel zum Anfangswertproblem für gewöhnliche Differentialgleichungen vorangestellt. Zudem gibt es ein Kapitel zum elliptischen Eigenwertproblem und zur Entwicklung nach Eigenfunktionen. Die Darstellung setzt keine tiefer gehenden Kenntnisse in Analysis und Funktionalanalysis voraus. Das erforderliche Grundwissen über lineare Funktionalanalysis und Sobolev-Räume wird im Anhang im Überblick besprochen.

Issues in Mathematical Theory and Modeling: 2011 Edition

Author: N.A

Publisher: ScholarlyEditions

ISBN: 1464966923

Category: Mathematics

Page: 314

View: 4410

Issues in Mathematical Theory and Modeling / 2011 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about Mathematical Theory and Modeling. The editors have built Issues in Mathematical Theory and Modeling: 2011 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Mathematical Theory and Modeling in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Mathematical Theory and Modeling: 2011 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at

The Physics of Living Processes

A Mesoscopic Approach

Author: Thomas Andrew Waigh

Publisher: John Wiley & Sons

ISBN: 1118698274

Category: Science

Page: 624

View: 6959

This full-colour undergraduate textbook, based on a two semestercourse, presents the fundamentals of biological physics,introducing essential modern topics that include cells, polymers,polyelectrolytes, membranes, liquid crystals, phase transitions,self-assembly, photonics, fluid mechanics, motility, chemicalkinetics, enzyme kinetics, systems biology, nerves, physiology, thesenses, and the brain. The comprehensive coverage, featuring in-depth explanations ofrecent rapid developments, demonstrates this to be one of the mostdiverse of modern scientific disciplines. The Physics of Living Processes: A Mesoscopic Approach iscomprised of five principal sections: • Building Blocks • Soft Condensed Matter Techniques in Biology • Experimental Techniques • Systems Biology • Spikes, Brains and the Senses The unique focus is predominantly on the mesoscale —structures on length scales between those of atoms and themacroscopic behaviour of whole organisms. The connections betweenmolecules and their emergent biological phenomena provide a novelintegrated perspective on biological physics, making this animportant text across a variety of scientific disciplines includingbiophysics, physics, physical chemistry, chemical engineering andbioengineering. An extensive set of worked tutorial questions are included,which will equip the reader with a range of new physical tools toapproach problems in the life sciences from medicine,pharmaceutical science and agriculture.

Ottomotor mit Direkteinspritzung

Verfahren, Systeme, Entwicklung, Potenzial

Author: Richard van Basshuysen

Publisher: Springer-Verlag

ISBN: 3658014083

Category: Technology & Engineering

Page: 465

View: 8333

Der Ottomotor mit Direkteinspritzung erlangt zunehmende Bedeutung. Dessen Potenzial ist bei weitem noch nicht ausgeschöpft, Leistungs- und Drehmomenterhöhung gepaart mit weiter reduziertem Kraftstoffverbrauch bei gleichzeitiger Schadstoffreduzierung geben klar die Richtung künftiger Entwicklungen vor. Als Schlüssel für diese Entwicklung können aus heutiger Sicht neue Einspritz- und Verbrennungsverfahren gelten, die den Technologieschub bewirken. Das Buch behandelt die neuesten Entwicklungen, beschreibt und bewertet Motorkonzepte, wie z.B. Downsizing und Aufladung und beschreibt die Anforderungen an Werkstoffe und Betriebsstoffe. Der Ausblick am Ende des Buches beleuchtet die Frage, ob Ottomotoren in Zukunft das Kraftstoff-Verbrauchsniveau von Dieselmotoren erreichen werden und ob alternative Antriebe Hubkolbenmotoren verdrängen werden. Für die 3. Auflage wurden Kapitel überarbeitet und aktualisiert. Des Weiteren wurde ein Abschnitt zur Vorentflammung und Flammenausbreitung bei Homogenbetrieb ergänzt.

Angewandte Statistik

Author: Lothar Sachs

Publisher: Springer-Verlag

ISBN: 3662057476

Category: Mathematics

Page: 849

View: 8866

Auch die 7., völlig neu bearbeitete Auflage dient zum Lernen, Anwenden und Nachschlagen. Da statistische Programmpakete weit verbreitet sind, hat man sich in dieser Auflage mehr auf die Planung von Untersuchungen konzentriert. Darüber hinaus wurden zahlreiche Gebiete ausführlicher behandelt (z.B. Kombinatorik) und neue Methoden wie der Jonckheer-Test neu aufgenommen. Zahlreiche aktualisierte Zusammenhänge und Verweise sowie viele neue Übersichten, Tabellen und Beispiele runden dieses Buch ab.


Author: Timothy Gowers

Publisher: N.A

ISBN: 9783150187067


Page: 207

View: 313