Fractal Physiology and Chaos in Medicine

Author: Bruce J. West
Publisher: World Scientific
ISBN: 9814417807
Format: PDF
Download Now
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.

Applications of Fractional Calculus in Physics

Author: R Hilfer
Publisher: World Scientific
ISBN: 9814496200
Format: PDF
Download Now
Fractional calculus is a collection of relatively little-known mathematical results concerning generalizations of differentiation and integration to noninteger orders. While these results have been accumulated over centuries in various branches of mathematics, they have until recently found little appreciation or application in physics and other mathematically oriented sciences. This situation is beginning to change, and there are now a growing number of research areas in physics which employ fractional calculus. This volume provides an introduction to fractional calculus for physicists, and collects easily accessible review articles surveying those areas of physics in which applications of fractional calculus have recently become prominent. Contents:An Introduction to Fractional Calculus (P L Butzer & U Westphal)Fractional Time Evolution (R Hilfer)Fractional Powers of Infinitesimal Generators of Semigroups (U Westphal)Fractional Differences, Derivatives and Fractal Time Series (B J West & P Grigolini)Fractional Kinetics of Hamiltonian Chaotic Systems (G M Zaslavsky)Polymer Science Applications of Path-Integration, Integral Equations, and Fractional Calculus (J F Douglas)Applications to Problems in Polymer Physics and Rheology (H Schiessel et al.)Applications of Fractional Calculus Techniques to Problems in Biophysics (T F Nonnenmacher & R Metzler)Fractional Calculus and Regular Variation in Thermodynamics (R Hilfer) Readership: Statistical, theoretical and mathematical physicists. Keywords:Fractional Calculus in PhysicsReviews: “This monograph provides a systematic treatment of the theory and applications of fractional calculus for physicists. It contains nine review articles surveying those areas in which fractional calculus has become important. All the chapters are self-contained.” Mathematics Abstracts

Fractal Sustainability

Author: Isabel Canto de Loura
Publisher: Taylor & Francis
ISBN: 1317133633
Format: PDF, Kindle
Download Now
Even though the fractal approach to sustainability and organizational change management is not new, no authors so far seem to have truly attempted to use fractals as a mathematical means to map and measure organizational sustainability. Several sustainability maturity models and change management models and frameworks, concepts and computer generated systems came to the fore during the past two decades. They provided a set of useful tools for managers, academics and students to refer to, or on which to base their own actions and plans. However, one issue remains: most of those models and frameworks share a rather similar linear ‘skeleton’; the main difference between them is the quantitative variety of steps within each phase, stage, and parameter and how in depth each of these is presented. The authors' work addresses a clear gap in the literature and in applied research, as it emphasizes the relevance of using a complex mathematically-based but user-friendly fractal approach. Readers are able to better understand, implement, map and measure change management processes leading to a sustainability-focused mindset. Subsequent chapters guide you through the steps towards creating committed sustainability-based strategies, attitudes, actions and practices across all levels in the broad organizational context. This text is essential reading for students researching business and management and who are interested in the Fractal Sustainability concept.

Physics of Fractal Operators

Author: Bruce West
Publisher: Springer Science & Business Media
ISBN: 0387217460
Format: PDF, ePub, Docs
Download Now
This text describes the statistcal behavior of complex systems and shows how the fractional calculus can be used to model the behavior. The discussion emphasizes physical phenomena whose evolution is best described using the fractional calculus, such as systems with long-range spatial interactions or long-time memory. The book gives general strategies for understanding wave propagation through random media, the nonlinear response of complex materials, and the fluctuations of heat transport in heterogeneous materials.

Nonlinear Dynamics Complexity and Public Policy

Author: Euel W. Elliott
Publisher: Nova Science Pub Incorporated
ISBN:
Format: PDF, ePub, Docs
Download Now
Introduces those with an interest in the policy sciences to the field of non-linear dynamics and complex systems, and their applications to problems of public policy. Four of the nine contributions concentrate on the implications of nonlinear dynamics and complexity for understanding the evolution of economic systems or instruments of economic policymaking. Three papers explore a set of non-economic related policy areas involving dynamics at a reduced level of aggregations from macroeconomic phenomena. The final contributions consider information technology and the challenge of time.