This book concerns the development of a theory of complex phenomena, using such concepts as fractals, chaos, and fractional derivatives; but, most important, the idea of an allometric control process is developed. In summary the theory attempts to explain why the distribution in the intensity of wars is the same as the relative frequency of the number of words used in languages and the number of species evolved over time from one or a few remote ancestors. The theory also describes the similarity in the variability of the number of births to teens in Texas to the number of sexual partners in homosexual liaisons. The data in both of the aforementioned categories are shown to have long-term memory, and it is this memory that also gives rise to inverse power laws in such physiological phenomena as the interbeat interval distribution of the human heart, the interstride interval distribution in the human gait, and memory in DNA sequences.

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 that have occurred in the intervening years are emphasized. The book provides a comprehensive overview of a nascent theory of medicine, including a new chapter on the theory of complex networks as they pertain to medicine.

Knowledge Management, Organizational Intelligence and Learning, and Complexity is the component of Encyclopedia of Technology, Information, and Systems Management Resources in the global Encyclopedia of Life Support Systems (EOLSS), which is an integrated compendium of twenty one Encyclopedias. The Theme on Knowledge Management, Organizational Intelligence and Learning, and Complexity in the Encyclopedia of Technology, Information, and Systems Management Resources provides the latest scientific insights into the evolution of complexity in both the natural and social realms. Emerging perspectives from the fields of knowledge management, computer-based simulation and the organizational sciences are presented as tools for understanding and supporting this evolving complexity and the earth's life support systems. These three volumes are aimed at the following a wide spectrum of audiences from the merely curious to those seeking in-depth knowledge: University and College students Educators, Professional practitioners, Research personnel and Policy analysts, managers, and decision makers and NGOs.

In 438 alphabetically-arranged essays, this work provides a useful overview of the core mathematical background for nonlinear science, as well as its applications to key problems in ecology and biological systems, chemical reaction-diffusion problems, geophysics, economics, electrical and mechanical oscillations in engineering systems, lasers and nonlinear optics, fluid mechanics and turbulence, and condensed matter physics, among others.

This ground-breaking book brings together researchers from a wide range of disciplines to discuss the control and coordination of processes involved in perceptually guided actions. The research area of motor control has become an increasingly multidisciplinary undertaking. Understanding the acquisition and performance of voluntary movements in biological and artificial systems requires the integration of knowledge from a variety of disciplines from neurophysiology to biomechanics.

This book describes a new strategy for rehabilitation from injury and/or disease using Crucial Event Therapy. Recent studies have shown that individuals can recuperate more rapidly from surgery and other invasive procedures intended to correct the negative effects of disease or injury through the use of life support systems that operate at the body's natural biofrequencies. The same observation has been clinically shown to reverse the degenerative effects of neurodegenerative diseases such as Parkinson’s and Alzheimer's Disease. Crucial Event Therapy describes medicine as the operational control of the functions of the human body treated as a network-of-networks, with 1/f-variable crucial events coding the dynamic states of health and disease through information flow within a network and information exchange between biomedical networks. A new way of thinking based on the statistics of Cortical Events is presented and the relevant literature is suitably referenced. This is an ideal book for biophysicists and data scientists seeking to understand the connection of complexity measures for the study of consciousness with the clinical aspects of designing a rehabilitation strategy.

The dynamics of complex systems can clarify the creation of structures in Nature. This creation is driven by the collective interaction of constitutive elements of the system. Such interactions are frequently nonlinear and are directly responsible for the lack of prediction in the evolution process. The self-organization accompanying these processes occurs all around us and is constantly being rediscovered, under the guise of a new jargon, in apparently unrelated disciplines. This volume offers unique perspectives on aspects of fractals and complexity and, through the examination of complementary techniques, provides a unifying thread in this multidisciplinary endeavor. Do nonlinear interactions play a role in the complexity management of socio-econo-political systems? Is it possible to extract the global properties of genetic regulatory networks without knowing the details of individual genes? What can one learn by transplanting the self-organization effects known in laser processes to the study of emotions? What can the change in the level of complexity tell us about the physiological state of the organism? The reader will enjoy finding the answers to these questions and many more in this book. Contents: Structure of Genetic Regulatory Networks: Evidence for Scale Free Networks (L S Liebovitch); Modelling Fractal Dynamics (B West); Complexity in Nature and Society: Complexity Management in the Age of Globalization (K Mainzer); Analysis of Geographical Distribution Patterns in Plants Using Fractals (A Bari); A Cornucopia of Connections: Finding Four Familiar Fractals in the Tower of Hanoi (D R Camp); Fractal Sets Generated by Two-Dimensional Non-Invertible Maps (Ch Mira); Fractals, Morphological Spectrum and Complexity of Interfacial Patterns in Non-equilibrium Solidification (P K Galenko); Modelling Pattern Formation Upon Laser-Induced Etching (M Haase); Synergetics as an Approach to Complexity in the Humanities (H Haken); Fractal Analysis of the Images Using Wavelet Transformation (P Jerabkova); Monitoring the Depth of Anaesthesia Using Fractal Complexity Method (W Klonowski); Description of Complex Systems in Terms of Self-Organization Processes of Prime Integer Relations (V Korotkikh); Genome as a Fractal 2D Walk (A Loskutov); Generalization of the DLA-Process with Different Inmiscible Components by Time-Scale Roughening (A Loskutov); Fractional Relaxation of Distributed Order (F Mainardi); Hierarchy of Cellular Automata in Relation to Control of Chaos or Anticontrol (M Markus); A Generative Construction and Visualization of 3D Fractal Measures (T Martyn); Markov Memory in Multifractal Natural Processes (F Pallikari); Fractals, Complexity and Chaos in Supply Chain Networks (M A Pearson); Complexity, Fractals, Nature and Industrial Design: Some Connections (N Sala); Simulation of Geochemical Banding in Acidization-Precipitation Experiments In Situ (R F Sultan); Clustering Phenomena in the Time Distribution of Lightning (L Telesca); Dynamical Decomposition of Multifractal Time Series as Fractal Evolution and Long-Term Cycles: Applications to Foreign Currency Exchange Market (A Turiel); The Complex Couplings and Gompertzian Dynamics (P W Waliszewski); The Competition Rule of the High Income Model and the Power-Law Exponents (K Y Yamamoto); The Distance Radio Fractal Image (X-Z Zhang). Key Features Contributions from famous nonlinear scientists such as H Haken, K Mainzer, Ch Mira, L Liebovitch and B West A unique blend of multidisciplinary topics A snapshot of current activities in the fields of fractals and complexity Readership: Academics in multidisciplinary research, primarily physics, mathematics, engineering, and life sciences.