Record Nr.

UNINA9910465413703321

Autore

West Bruce J

Titolo

Fractal physiology and chaos in medicine [[electronic resource] /] / Bruce J. West

Pubbl/distr/stampa


Singapore ; ; London, : World Scientific, 2013

ISBN

1-299-28117-6

981-4417-80-7

Edizione

[2nd ed.]

Descrizione fisica

1 online resource (345 p.)

Collana

Studies of nonlinear phenomena in life sciences ; ; v. 16

Disciplina

610.151539

612.0154

612/.0154

Soggetti

Chaotic behavior in systems

Fractals

Medicine - Mathematical models

Physiology - Mathematical models

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Contents; 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

3.1.1 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

4.2.2 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

6.1.1 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

Sommario/riassunto

This 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

Record Nr.

UNINA9910788886903321

Autore

Stiller Peter <1951->

Titolo

Special values of Dirichlet series, monodromy, and the periods of automorphic forms / / Peter Stiller

Pubbl/distr/stampa


Providence, R.I., USA : , : American Mathematical Society, , [1984]
©1984

ISBN

1-4704-0709-4

Descrizione fisica

1 online resource (122 p.)

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 299

Disciplina

510 s

512/.7

Soggetti

Dirichlet series

Automorphic forms

Differential equations, Linear