Nonlinear Dynamics in Physiology and Medicine

Author:   Anne Beuter ,  Leon Glass ,  Michael C. Mackey ,  Michele S. Titcombe
Publisher:   Springer-Verlag New York Inc.
Edition:   2003 ed.
Volume:   25
ISBN:  

9780387004495


Pages:   436
Publication Date:   12 September 2003
Format:   Hardback
Availability:   In Print   Availability explained
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Nonlinear Dynamics in Physiology and Medicine


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Author:   Anne Beuter ,  Leon Glass ,  Michael C. Mackey ,  Michele S. Titcombe
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   2003 ed.
Volume:   25
Dimensions:   Width: 15.60cm , Height: 2.50cm , Length: 23.40cm
Weight:   1.830kg
ISBN:  

9780387004495


ISBN 10:   0387004491
Pages:   436
Publication Date:   12 September 2003
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

1 Theoretical Approaches in Physiology.- 2 Introduction to Dynamics in Nonlinear Difference and Differential Equations.- 3 Bifurcations Involving Fixed Points and Limit Cycles in Biological Systems.- 4 Dynamics of Excitable Cells.- 5 Resetting and Entraining Biological Rhythms.- 6 Effects of Noise on Nonlinear Dynamics.- 7 Reentry in Excitable Media.- 8 Cell Replication and Control.- 9 Pupil Light Reflex: Delays and Oscillations.- 10 Data Analysis and Mathematical Modeling of Human Tremor.- A An Introduction to XPP.- Michael C. Mackey.- A.1 ODE Files.- A.2 Starting and Quitting XPP.- A.3 Time Series.- A.4 Numerics.- A.5 Graphic Tricks.- A.5.1 Axis.- A.5.2 Multiplotting.- A.5.3 Erasing.- A.5.4 Printing the Figures.- A.6 Examining the Numbers.- A.7 Changing the Initial Condition.- A.8 Finding the Fixed Points and Their Stability.- A.9 Drawing Nullclines and Direction Field.- A.10 Changing the Parameters.- A.11 Auto.- A.11.1 Bifurcation Diagram.- A.11.2 Scrolling Through the Points on theBifurcation Diagram.- A.12 Saving Auto Diagrams.- B An Introduction to Matlab.- Michèle S. Titcombe and Caroline Haurie.- R.1 Starting and Quitting Matlab.- B.2 Vectors and Matrices.- B 2 1 Creating Matrices and Vectors.- .B.3 Suppressing Output to the Screen (the Semicolon!).- B.4 Operations on Matrices.- B.5 Programs (M-Files).- B.5.1 Script Files.- B.5.2 Function Files.- B.6 The Help Command.- B.7 Loops.- B.8 Plotting.- B.8.1 Examples.- B.8.2 Clearing Figures and Opening New Figures.- B.8.3 Symbols and Colors for Lines and Points.- B.9 Loading Data.- B.9.1 Examples.- B.10 Saving Your Work.- C Time Series Analysis.- Roderick Edwards and Michèle S. Titcombe.- C.1 The Distribution of Data Points.- C.2 Linear Processes.- C.3 Fourier Analysis.

Reviews

From the reviews: As part of the Springer Interdisciplinary Applied Mathematics Series, this book joins a line of books that are leading the way in showing how mathematics can be usefully applied to biology and physiology. - Bulletin of the AMS, 2004 This book is an excellent addition to the literature. Perhaps its greatest value is its appeal to a wide class of prospective readers who may range from the biologist (mathematician) who has a mild interest in mathematics (biology) to the researcher who works in one of the fields discussed. ... There is a large bibliography, and there are analytical and computer exercises at the end of each chapter. (Jane Cronin, Zentralblatt MATH, Vol. 1050, 2005) The book A Nonlinear Dynamics in Physiology and MedicineA is a multi-author effort. ... Each chapter is well grounded ... . The book's references list is thorough and valid ... . This book is aimed at all scientists studying physiological systems in general ... . It fits into curricula usually offered by bio-engineering departments and - happily more and more - also medical schools. ... a book of high standards and is to be recommended. It is a title worth possessing as a collection of valuable reference material ... . (Prof. dr. sc. Vladimir Medved, IFMBE News, Vol. 69, November/December, 2004) Beuter, Glass, Mackey and Titcombe edit a book that provides an understanding of the theory and application of mathematical tools to the study of physiological systems. The book will be of interest to those involved in the modeling of such physiological systems. ... The material is well written, clear and concise. ... I liked the book. It makes an important contribution to the field ... . I recommend this book. It makes a worthwhile addition to a biological/medical science library. (Paul Johnson, New Zealand Mathematical Society Newsletter, Issue 91, 2004)


From the reviews: <p> As part of the Springer Interdisciplinary Applied Mathematics Series, this book joins a line of books that are leading the way in showing how mathematics can be usefully applied to biology and physiology. - Bulletin of the AMS, 2004 <p> This book is an excellent addition to the literature. Perhaps its greatest value is its appeal to a wide class of prospective readers who may range from the biologist (mathematician) who has a mild interest in mathematics (biology) to the researcher who works in one of the fields discussed. a ] There is a large bibliography, and there are analytical and computer exercises at the end of each chapter. (Jane Cronin, Zentralblatt MATH, Vol. 1050, 2005) <p> The book ANonlinear Dynamics in Physiology and MedicineA is a multi-author effort. a ] Each chapter is well grounded a ] . The booka (TM)s references list is thorough and valid a ] . This book is aimed at all scientists studying physiological systems in general a ] . It fits into curricula usually offered by bio-engineering departments and - happily more and more - also medical schools. a ] a book of high standards and is to be recommended. It is a title worth possessing as a collection of valuable reference material a ] . (Prof. dr. sc. Vladimir Medved, IFMBE News, Vol. 69, November/December, 2004) <p> Beuter, Glass, Mackey and Titcombe edit a book that provides an understanding of the theory and application of mathematical tools to the study of physiological systems. The book will be of interest to those involved in the modeling of such physiological systems. a ] The material is well written, clear and concise. a ] I liked the book. It makes an important contribution to thefield a ] . I recommend this book. It makes a worthwhile addition to a biological/medical science library. (Paul Johnson, New Zealand Mathematical Society Newsletter, Issue 91, 2004) <p>


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