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Fractal Interpretation Of Intermittency
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Book Synopsis Fractal Geometry and Computer Graphics by : Jose L. Encarnacao
Download or read book Fractal Geometry and Computer Graphics written by Jose L. Encarnacao and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractal geometry has become popular in the last 15 years, its applications can be found in technology, science, or even arts. Fractal methods and formalism are seen today as a general, abstract, but nevertheless practical instrument for the description of nature in a wide sense. But it was Computer Graphics which made possible the increasing popularity of fractals several years ago, and long after their mathematical formulation. The two disciplines are tightly linked. The book contains the scientificcontributions presented in an international workshop in the "Computer Graphics Center" in Darmstadt, Germany. The target of the workshop was to present the wide spectrum of interrelationships and interactions between Fractal Geometry and Computer Graphics. The topics vary from fundamentals and new theoretical results to various applications and systems development. All contributions are original, unpublished papers.The presentations have been discussed in two working groups; the discussion results, together with actual trends and topics of future research, are reported in the last section. The topics of the book are divides into four sections: Fundamentals, Computer Graphics and Optical Simulation, Simulation of Natural Phenomena, Image Processing and Image Analysis.
Book Synopsis Fractal and Multifractal Facets in the Structure and Dynamics of Physiological Systems and Applications to Homeostatic Control, Disease Diagnosis and Integrated Cyber-Physical Platforms by : Paul Bogdan
Download or read book Fractal and Multifractal Facets in the Structure and Dynamics of Physiological Systems and Applications to Homeostatic Control, Disease Diagnosis and Integrated Cyber-Physical Platforms written by Paul Bogdan and published by Frontiers Media SA. This book was released on 2020-06-25 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: Widespread chronic diseases (e.g., heart diseases, diabetes and its complications, stroke, cancer, brain diseases) constitute a significant cause of rising healthcare costs and pose a significant burden on quality-of-life for many individuals. Despite the increased need for smart healthcare sensing systems that monitor / measure patients’ body balance, there is no coherent theory that facilitates the modeling of human physiological processes and the design and optimization of future healthcare cyber-physical systems (HCPS). The HCPS are expected to mine the patient’s physiological state based on available continuous sensing, quantify risk indices corresponding to the onset of abnormality, signal the need for critical medical intervention in real-time by communicating patient’s medical information via a network from individual to hospital, and most importantly control (actuate) vital health signals (e.g., cardiac pacing, insulin level, blood pressure) within personalized homeostasis. To prevent health complications, maintain good health and/or avoid fatal conditions calls for a cross-disciplinary approach to HCPS design where recent statistical-physics inspired discoveries done by collaborations between physicists and physicians are shared and enriched by applied mathematicians, control theorists and bioengineers. This critical and urgent multi-disciplinary approach has to unify the current state of knowledge and address the following fundamental challenges: One fundamental challenge is represented by the need to mine and understand the complexity of the structure and dynamics of the physiological systems in healthy homeostasis and associated with a disease (such as diabetes). Along the same lines, we need rigorous mathematical techniques for identifying the interactions between integrated physiologic systems and understanding their role within the overall networking architecture of healthy dynamics. Another fundamental challenge calls for a deeper understanding of stochastic feedback and variability in biological systems and physiological processes, in particular, and for deciphering their implications not only on how to mathematically characterize homeostasis, but also on defining new control strategies that are accounting for intra- and inter-patient specificity – a truly mathematical approach to personalized medicine. Numerous recent studies have demonstrated that heart rate variability, blood glucose, neural signals and other interdependent physiological processes demonstrate fractal and non-stationary characteristics. Exploiting statistical physics concepts, numerous recent research studies demonstrated that healthy human physiological processes exhibit complex critical phenomena with deep implications for how homeostasis should be defined and how control strategies should be developed when prolonged abnormal deviations are observed. In addition, several efforts have tried to connect these fractal characteristics with new optimal control strategies that implemented in medical devices such as pacemakers and artificial pancreas could improve the efficiency of medical therapies and the quality-of-life of patients but neglecting the overall networking architecture of human physiology. Consequently, rigorously analyzing the complexity and dynamics of physiological processes (e.g., blood glucose and its associated implications and interdependencies with other physiological processes) represents a fundamental step towards providing a quantifiable (mathematical) definition of homeostasis in the context of critical phenomena, understanding the onset of chronic diseases, predicting deviations from healthy homeostasis and developing new more efficient medical therapies that carefully account for the physiological complexity, intra- and inter-patient variability, rather than ignoring it. This Research Topic aims to open a synergetic and timely effort between physicians, physicists, applied mathematicians, signal processing, bioengineering and biomedical experts to organize the state of knowledge in mining the complexity of physiological systems and their implications for constructing more accurate mathematical models and designing QoL-aware control strategies implemented in the new generation of HCPS devices. By bringing together multi-disciplinary researchers seeking to understand the many aspects of human physiology and its complexity, we aim at enabling a paradigm shift in designing future medical devices that translates mathematical characteristics in predictable mathematical models quantifying not only the degree of homeostasis, but also providing fundamentally new control strategies within the personalized medicine era.
Book Synopsis Intermittency and Self-Organisation in Turbulence and Statistical Mechanics by : Eun-jin Kim
Download or read book Intermittency and Self-Organisation in Turbulence and Statistical Mechanics written by Eun-jin Kim and published by MDPI. This book was released on 2019-07-29 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a printed edition of the Special Issue Intermittency and Self-Organisation in Turbulence and Statistical Mechanics that was published in Entropy
Download or read book Energy Research Abstracts written by and published by . This book was released on 1993 with total page 762 pages. Available in PDF, EPUB and Kindle. Book excerpt: Semiannual, with semiannual and annual indexes. References to all scientific and technical literature coming from DOE, its laboratories, energy centers, and contractors. Includes all works deriving from DOE, other related government-sponsored information, and foreign nonnuclear information. Arranged under 39 categories, e.g., Biomedical sciences, basic studies; Biomedical sciences, applied studies; Health and safety; and Fusion energy. Entry gives bibliographical information and abstract. Corporate, author, subject, report number indexes.
Book Synopsis Fractals: A Very Short Introduction by : Kenneth Falconer
Download or read book Fractals: A Very Short Introduction written by Kenneth Falconer and published by OUP Oxford. This book was released on 2013-09-26 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many are familiar with the beauty and ubiquity of fractal forms within nature. Unlike the study of smooth forms such as spheres, fractal geometry describes more familiar shapes and patterns, such as the complex contours of coastlines, the outlines of clouds, and the branching of trees. In this Very Short Introduction, Kenneth Falconer looks at the roots of the 'fractal revolution' that occurred in mathematics in the 20th century, presents the 'new geometry' of fractals, explains the basic concepts, and explores the wide range of applications in science, and in aspects of economics. This is essential introductory reading for students of mathematics and science, and those interested in popular science and mathematics. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.
Book Synopsis Fractal and Trans-scale Nature of Entropy by : Diogo Queiros Conde
Download or read book Fractal and Trans-scale Nature of Entropy written by Diogo Queiros Conde and published by Elsevier. This book was released on 2018-11-16 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractal and Trans-scale Nature of Entropy: Towards a Geometrization of Thermodynamics develops a new vision for entropy in thermodynamics by proposing a new method to geometrize. It investigates how this approach can accommodate a large number of very different physical systems, going from combustion and turbulence towards cosmology. As an example, a simple interpretation of the Hawking entropy in black-hole physics is provided. In the life sciences, entropy appears as the driving element for the organization of systems. This book demonstrates this fact using simple pedagogical tools, thus showing that entropy cannot be interpreted as a basic measure of disorder. Develop a new vision of entropy in thermodynamics Study the concept of entropy Propose a simple interpretation the entropy of Hawking Demonstrate entropy as a measure of energy dispersal
Book Synopsis Dynamics and Thermodynamics with Nuclear Degrees of Freedom by : Philippe Chomaz
Download or read book Dynamics and Thermodynamics with Nuclear Degrees of Freedom written by Philippe Chomaz and published by Springer Science & Business Media. This book was released on 2007-07-28 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the outcome of a community-wide review of the field of dynamics and thermodynamics with nuclear degrees of freedom. It presents the achievements and the outstanding open questions in 26 articles collected in six topical sections and written by more than 60 authors. All authors are internationally recognized experts in their fields.
Book Synopsis Fractals, Diffusion, and Relaxation in Disordered Complex Systems by : Yuri P. Kalmykov
Download or read book Fractals, Diffusion, and Relaxation in Disordered Complex Systems written by Yuri P. Kalmykov and published by John Wiley & Sons. This book was released on 2006-07-21 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractals, Diffusion and Relaxation in Disordered Complex Systems is a special guest-edited, two-part volume of Advances in Chemical Physics that continues to report recent advances with significant, up-to-date chapters by internationally recognized researchers.
Book Synopsis Phylogenetic Trees and Molecular Evolution by : David R. Bickel
Download or read book Phylogenetic Trees and Molecular Evolution written by David R. Bickel and published by Springer Nature. This book was released on 2022-09-29 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book serves as a brief introduction to phylogenetic trees and molecular evolution for biologists and biology students. It does so by presenting the main concepts in a variety of ways: first visually, then in a history, next in a dice game, and finally in simple equations. The content is primarily designed to introduce upper-level undergraduate and graduate students of biology to phylogenetic tree reconstruction and the underlying models of molecular evolution. A unique feature also of interest to experienced researchers is the emphasis on simple ways to quantify the uncertainty in the results more fully than is possible with standard methods.
Download or read book High Energy Physics Index written by and published by . This book was released on 1992 with total page 638 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Fractal Physiology by : James B Bassingthwaighte
Download or read book Fractal Physiology written by James B Bassingthwaighte and published by Springer. This book was released on 2013-05-27 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: I know that most men, including those at ease with the problems of the greatest complexity, can seldom accept even the simplest and most obvious truth if it be such as would oblige them to admit the falsity of conclusions which they have delighted in explaining to colleagues, which they have proudly taught to others, and which they have woven, thread by thread, into the fabric of their lives. Joseph Ford quoting Tolstoy (Gleick, 1987) We are used to thinking that natural objects have a certain form and that this form is determined by a characteristic scale. If we magnify the object beyond this scale, no new features are revealed. To correctly measure the properties of the object, such as length, area, or volume, we measure it at a resolution finer than the characteristic scale of the object. We expect that the value we measure has a unique value for the object. This simple idea is the basis of the calculus, Euclidean geometry, and the theory of measurement. However, Mandelbrot (1977, 1983) brought to the world's attention that many natural objects simply do not have this preconceived form. Many of the structures in space and processes in time of living things have a very different form. Living things have structures in space and fluctuations in time that cannot be characterized by one spatial or temporal scale. They extend over many spatial or temporal scales.
Book Synopsis Fractals and Multifractals in Ecology and Aquatic Science by : Laurent Seuront
Download or read book Fractals and Multifractals in Ecology and Aquatic Science written by Laurent Seuront and published by CRC Press. This book was released on 2009-10-12 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ecologists sometimes have a less-than-rigorous background in quantitative methods, yet research within this broad field is becoming increasingly mathematical. Written in a step-by-step fashion, Fractals and Multifractals in Ecology and Aquatic Science provides scientists with a basic understanding of fractals and multifractals and the techniques fo
Book Synopsis Complexity and Nonlinearity in Cardiovascular Signals by : Riccardo Barbieri
Download or read book Complexity and Nonlinearity in Cardiovascular Signals written by Riccardo Barbieri and published by Springer. This book was released on 2017-08-09 with total page 535 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reports on the latest advances in complex and nonlinear cardiovascular physiology aimed at obtaining reliable, effective markers for the assessment of heartbeat, respiratory, and blood pressure dynamics. The chapters describe in detail methods that have been previously defined in theoretical physics such as entropy, multifractal spectra, and Lyapunov exponents, contextualized within physiological dynamics of cardiovascular control, including autonomic nervous system activity. Additionally, the book discusses several application scenarios of these methods. The text critically reviews the current state-of-the-art research in the field that has led to the description of dedicated experimental protocols and ad-hoc models of complex physiology. This text is ideal for biomedical engineers, physiologists, and neuroscientists. This book also: Expertly reviews cutting-edge research, such as recent advances in measuring complexity, nonlinearity, and information-theoretic concepts applied to coupled dynamical systems Comprehensively describes applications of analytic technique to clinical scenarios such as heart failure, depression and mental disorders, atrial fibrillation, acute brain lesions, and more Broadens readers' understanding of cardiovascular signals, heart rate complexity, heart rate variability, and nonlinear analysis
Book Synopsis Improving the Understanding of Kinetic Processes in Solar Wind and Magnetosphere: From CLUSTER to MMS by : Antonella Greco
Download or read book Improving the Understanding of Kinetic Processes in Solar Wind and Magnetosphere: From CLUSTER to MMS written by Antonella Greco and published by Frontiers Media SA. This book was released on 2021-02-01 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis High Energy Physics - Proceedings Of The 25th International Conference (In 2 Volumes) by : Kok Khoo Phua
Download or read book High Energy Physics - Proceedings Of The 25th International Conference (In 2 Volumes) written by Kok Khoo Phua and published by World Scientific. This book was released on 1991-07-15 with total page 1583 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings contains the talks delivered at the plenary and parallel sessions. Topics covered include e⁺e⁻ Physics at Z0, String Theory and Theory of Extended Objects, High Energy pp Physics, Non-Accelerator Particle Physics, Conformal Field Theory, e⁺e⁻ Physics below Z⁰, Structure Functions and Deep Inelastic Scattering, Neutrino Physics, Recent Developments in 2-Dimensional Gravity, Lattice Gauge Theory and Computer Simulations, CP Violation , Accelerator Physics, Cosmology and Particle Physics, Interface Between Particle and Condensed Matter Physics, Detector R&D, and Astroparticle Physics.
Book Synopsis Wavelets: the Key to Intermittent Information? by : B. W. Silverman
Download or read book Wavelets: the Key to Intermittent Information? written by B. W. Silverman and published by Oxford University Press. This book was released on 2000-06-15 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years there has been an explosion of interest in wavelets, in a wide range of fields in science and engineering and beyond. This book brings together contributions from researchers from disparate fields, both in order to demonstrate to a wide readership the current breadth of work in wavelets, and to encourage cross-fertilization of ideas. It demonstrates the genuinely interdisplinary nature of wavelet research and applications. Particular areas covered include turbulence, statistics, time series analysis, signal and image processing, the physiology of vision, astronomy, economics and acoustics. Some of the work uses standard wavelet approaches and in other cases new methodology is developed. The papers were originally presented at a Royal Society Discussion Meeting, to a large and enthusiastic audience of specialists and non-specialists.
Book Synopsis Fractals in the Fundamental and Applied Sciences by : Heinz-Otto Peitgen
Download or read book Fractals in the Fundamental and Applied Sciences written by Heinz-Otto Peitgen and published by North Holland. This book was released on 1991 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the first IFIP conference on fractals. The mathematical concept of fractal was coined by B.B. Mandelbrot in the early seventies to characterize objects with self-similar structures at all levels. Now the field of fractals is being subject to intensive research and an extensive growth of applications in many sciences. This first IFIP conference, intended as a start of periodic conferences on fractals, enables a productive cross fertilization of ideas among specialists in fractals and in information processing. In addition to the volume's 44 colour illustrations, on page v is a rare view of fractals and the Portuguese architecture at the time of the navigators, produced by Master Lima de Freitas, a leading Portuguese artist and member of the conference organizing committee. The design illustrates the symbiosis of mathematics and human artifacts represented by the real world.
