LEADER 04729nam 2200709Ia 450 001 9910792055203321 005 20230803023610.0 010 $a1-299-28117-6 010 $a981-4417-80-7 035 $a(CKB)2560000000099526 035 $a(EBL)1143330 035 $a(OCoLC)830162365 035 $a(SSID)ssj0000877673 035 $a(PQKBManifestationID)12403583 035 $a(PQKBTitleCode)TC0000877673 035 $a(PQKBWorkID)10811338 035 $a(PQKB)10104932 035 $a(MiAaPQ)EBC1143330 035 $a(WSP)00002935 035 $a(Au-PeEL)EBL1143330 035 $a(CaPaEBR)ebr10674340 035 $a(CaONFJC)MIL459367 035 $a(EXLCZ)992560000000099526 100 $a20120907d2013 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aFractal physiology and chaos in medicine$b[electronic resource] /$fBruce J. West 205 $a2nd ed. 210 $aSingapore ;$aLondon $cWorld Scientific$d2013 215 $a1 online resource (345 p.) 225 1 $aStudies of nonlinear phenomena in life sciences ;$vv. 16 300 $aDescription based upon print version of record. 311 $a981-4417-79-3 320 $aIncludes bibliographical references and index. 327 $aContents; Preface; 1 Introduction; 1.1 What is Linearity?; 1.2 Why Uncertainty?; 1.3 How Does Nonlinearity Change Our View?; 1.4 Complex Networks; 1.5 Summary and a Look Forward; 2 Physiology in Fractal Dimensions; 2.1 Complexity and the Lung; 2.2 The Principle of Similitude; 2.2.1 Fractals, Self-similarity and Renormalization; 2.2.2 Fractal Lungs; 2.2.3 Why fractal transport?; 2.3 Allometry Relations; 2.3.1 Empirical Allometry; 2.3.2 WBE model; 2.3.3 WW model; 2.4 Fractal Signals; 2.4.1 Spectral decomposition; 2.5 Summary; 3 Dynamics in Fractal Dimensions; 3.1 Nonlinear Bio-oscillators 327 $a3.1.1 Super Central Pattern Generator (SCPG) model of gait3.1.2 The cardiac oscillator; 3.1.3 Strange attractors (deterministic randomness); 3.2 Nonlinear Bio-mapping; 3.2.1 One-dimensional maps; 3.2.2 Two-dimensional maps; 3.2.3 The Lyapunov exponent; 3.3 Measures of Strange Attractors; 3.3.1 Correlational dimension; 3.3.2 Attractor reconstruction from data; 3.3.3 Chaotic attractors and false alarms; 3.4 Summary and perspective; 4 Statistics in Fractal Dimensions; 4.1 Complexity and Unpredictability; 4.1.1 Scaling Measures; 4.2 Fractal Stochastic Dynamics; 4.2.1 Simple Random Walks 327 $a4.2.2 Fractional random walks and scaling4.2.3 Physical/physiological models; 4.3 Physiologic Time Series; 4.3.1 Heart Rate Variability (HRV); 4.3.2 Breath rate variability (BRV); 4.3.3 Stride rate variability (SRV); 4.4 Summary and Viewpoint; 5 Applications of Chaotic Attractors; 5.1 The Dynamics of Epidemics; 5.2 Chaotic Neurons; 5.3 Chemical Chaos; 5.4 Cardiac Chaos; 5.5 EEG Data and Brain Dynamics; 5.5.1 Normal activity; 5.5.2 Epilepsy: reducing the dimension; 5.5.3 Task-related scaling; 5.6 Retrospective; 6 Physiological Networks: The Final Chapter?; 6.1 Introduction to Complex Networks 327 $a6.1.1 A little history6.1.2 Inverse power laws; 6.2 The Decision Making Model (DMM); 6.2.1 Topological Complexity; 6.2.2 Temporal Complexity; 6.3 Criticality; 6.3.1 Neuronal Avalanches; 6.3.2 Multiple Organ Dysfunction Syndrome (MODS); 6.4 Finale; References; Index 330 $aThis exceptional book is concerned with the application of fractals and chaos, as well as other concepts from nonlinear dynamics to biomedical phenomena. Herein we seek to communicate the excitement being experienced by scientists upon making application of these concepts within the life sciences. Mathematical concepts are introduced using biomedical data sets and the phenomena being explained take precedence over the mathematics.In this new edition what has withstood the test of time has been updated and modernized; speculations that were not borne out have been expunged and the breakthroughs 410 0$aStudies of nonlinear phenomena in life sciences ;$vv. 16. 606 $aChaotic behavior in systems 606 $aFractals 606 $aMedicine$xMathematical models 606 $aPhysiology$xMathematical models 615 0$aChaotic behavior in systems. 615 0$aFractals. 615 0$aMedicine$xMathematical models. 615 0$aPhysiology$xMathematical models. 676 $a610.151539 676 $a612.0154 676 $a612/.0154 700 $aWest$b Bruce J$048667 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910792055203321 996 $aFractal physiology and chaos in medicine$93817964 997 $aUNINA