Mathematical Techniques for Biology and Medicine

Mathematical Techniques for Biology and Medicine PDF

Author: William Simon

Publisher: Courier Corporation

Published: 2015-05-05

Total Pages: 340

ISBN-13: 0486780791

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Suitable for both graduate and undergraduate courses, this text recalls basic concepts of calculus and shows how problems can be formulated in terms of differential equations. Fully worked-out solutions to selected problems. Fourth edition.

Applications of Dynamical Systems in Biology and Medicine

Applications of Dynamical Systems in Biology and Medicine PDF

Author: Trachette Jackson

Publisher: Springer

Published: 2015-07-06

Total Pages: 240

ISBN-13: 1493927825

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This volume highlights problems from a range of biological and medical applications that can be interpreted as questions about system behavior or control. Topics include drug resistance in cancer and malaria, biological fluid dynamics, auto-regulation in the kidney, anti-coagulation therapy, evolutionary diversification and photo-transduction. Mathematical techniques used to describe and investigate these biological and medical problems include ordinary, partial and stochastic differentiation equations, hybrid discrete-continuous approaches, as well as 2 and 3D numerical simulation.

Mathematics in Medicine and the Life Sciences

Mathematics in Medicine and the Life Sciences PDF

Author: Frank C. Hoppensteadt

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 257

ISBN-13: 1475741316

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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.

An Introduction to Mathematical Physiology and Biology

An Introduction to Mathematical Physiology and Biology PDF

Author: J. Mazumdar

Publisher: Cambridge University Press

Published: 1999-08-19

Total Pages: 244

ISBN-13: 9780521646758

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This textbook is concerned with the mathematical modelling of biological and physiological phenomena for mathematically sophisticated students. A range of topics are discussed: diffusion population dynamics, autonomous differential equations and the stability of ecosystems, biogeography, pharmokinetics, biofluid mechanics, cardiac mechanics, the spectral analysis of heart sounds using FFT techniques. The last chapter deals with a wide variety of commonly used medical devices. This book is based on courses taught by the author over many years and the material is well class tested. The reader is aided by many exercises that examine key points and extend the presentation in the body of the text. All students of mathematical biology will find this book to be a highly useful resource.

The Evolution of the Use of Mathematics in Cancer Research

The Evolution of the Use of Mathematics in Cancer Research PDF

Author: Pedro Jose Gutiérrez Diez

Publisher: Springer Science & Business Media

Published: 2012-02-17

Total Pages: 403

ISBN-13: 146142397X

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The book will provide an exhaustive and clear explanation of how Statistics, Mathematics and Informatics have been used in cancer research, and seeks to help cancer researchers in achieving their objectives. To do so, state-of-the-art Biostatistics, Biomathematics and Bioinformatics methods will be described and discussed in detail through illustrative and capital examples taken from cancer research work already published. The book will provide a guide for cancer researchers in using Statistics, Mathematics and Informatics, clarifying the contribution of these logical sciences to the study of cancer, thoroughly explaining their procedures and methods, and providing criteria to their appropriate use.

Single-Cell-Based Models in Biology and Medicine

Single-Cell-Based Models in Biology and Medicine PDF

Author: Alexander Anderson

Publisher: Springer Science & Business Media

Published: 2007-08-08

Total Pages: 346

ISBN-13: 376438123X

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Aimed at postgraduate students in a variety of biology-related disciplines, this volume presents a collection of mathematical and computational single-cell-based models and their application. The main sections cover four general model groupings: hybrid cellular automata, cellular potts, lattice-free cells, and viscoelastic cells. Each section is introduced by a discussion of the applicability of the particular modelling approach and its advantages and disadvantages, which will make the book suitable for students starting research in mathematical biology as well as scientists modelling multicellular processes.