Title | Nonlinear Dynamics in Physiology and Medicine [electronic resource] / edited by Anne Beuter, Leon Glass, Michael C. Mackey, Michรจle S. Titcombe |
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Imprint | New York, NY : Springer New York : Imprint: Springer, 2003 |
Connect to | http://dx.doi.org/10.1007/978-0-387-21640-9 |
Descript | XXVI, 436 p. online resource |
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 the Bifurcation Diagram -- A.12 Saving Auto Diagrams -- B An Introduction to Matlab -- Michรจle 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 Michรจle S. Titcombe -- C.1 The Distribution of Data Points -- C.2 Linear Processes -- C.3 Fourier Analysis