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37 produkter

Del 16 - STUDIES OF NONLINEAR PHENOMENA IN LIFE SCIENCE
FRACTAL PHYSIOLOGY AND CHAOS IN MEDICINE (2ND EDITION)
AvBruce J West
Inbunden, Engelska, 2013
836 kr
Skickas inom 5-8 vardagar
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.
Fractional Calculus View of Complexity
Tomorrow’s Science
AvBruce J. West
Häftad, Engelska, 2020
775 kr
Skickas inom 10-15 vardagar
This book is not a text devoted to a pedagogical presentation of a specialized topic nor is it a monograph focused on the author's area of research. It accomplishes both these things while providing a rationale for why the reader ought to be interested in learning about fractional calculus. This book is for researchers who has heard about many of these scientifically exotic activities, but could not see how they fit into their own scientific interests, or how they could be made compatible with the way they understand science. It is also for beginners who have not yet decided where their scientific talents could be most productively applied. The book provides insight into the long-term direction of science and show how to develop the skills necessary to successfully do research in the twenty-first century.
Biodynamics
Why the Wirewalker Doesn't Fall
AvBruce J. West,Lori A. Griffin
Inbunden, Engelska, 2004
2 373 kr
Skickas inom 5-8 vardagar
You can never step in the same river twice, goes the old adage of philosophy. An observation on the transitory nature of fluids in motion, this saying also describes the endless variations researchers face when studying human movement. Understanding these biodynamics-why the wirewalker doesn't fall-requires a grasp of the constant fluctuations and fine tunings which maintain balance in the complex, fluid system of human locomotion.Taking a comprehensive approach to the phenomenon of locomotion, Biodynamics: Why the Wirewalker Doesn't Fall integrates physical laws and principles with concepts of fractals, chaos, and randomness. In so doing, it formulates a description of both the large-scale, smooth aspects of locomotion and the more minute, randomized mechanisms of this physiological process.Ideal for beginners in this subject, Biodynamics provides an elegant explanation without assuming the reader's understanding of complex physical principles or mathematical equations. Chapter topics include:* Dimensions, measurement, and scaling* Mechanics and dynamics* Biometrics* Conservation of momentum* Biomechanics* Bioelectricity* Bioenergetics* Fluid mechanics and dynamics* Data analysis* BiostatisticsPacked with problem sets, examples, and original line drawings, Biodynamics is an invaluable text for advanced undergraduates, graduate students, and instructors in medicine, biology, physiology, biophysics, and bioengineering.
Fractional Calculus for Skeptics I
The Fractal Paradigm
AvBruce J. West,YangQuan Chen
Inbunden, Engelska, 2024
2 995 kr
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This book is the first of its kind on fractional calculus (FC), dedicated to advocating for FC in STEM education and research.Fractional calculus is increasingly used today, but there remains a core population of skeptics regarding the utility of this "new" calculus. This book is intended for those who are skeptical about the need for fractional calculus to describe dynamic complex networks and must be convinced of its use on a case-by-case basis. It is a one-stop resource to rapidly read and replace the appropriate skepticism with new knowledge. It offers compelling reasons from the perspectives of the physical, social, and life sciences as to why fractional calculus is needed when addressing the complexity of an underlying STEM phenomenon. The six chapters are accompanied by useful and essential appendices and chapter-end references. Each includes new (fractional-order) ways of thinking about statistics, complexity dynamics, and what constitutes a solution to a complexity science problem.The book will appeal to students and researchers in all STEM-related fields, such as engineering, physics, biology and biomedicine, climate change, big data, and machine learning. It is also suitable for general readers interested in these fields.
On the Fractal Language of Medicine
AvBruce J. West,W. Alan C. Mutch
Inbunden, Engelska, 2024
3 085 kr
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On the Fractal Language of Medicine bridges a very clear gap among the knowledge gained over the last 20 years in the physical and life sciences on network theory, organ synchronicity and communication, the understanding of fractal signatures in health and disease and the importance of fractional calculus in integrating these concepts.The authors opine that the field of medicine has not appreciated this hard-won knowledge and has suffered greatly as a result. This book addresses this perceived deficiency by introducing medical researchers, clinicians, residents, first-year medical students and members of allied fields to the work of the so-called hard sciences. It seeks to facilitate effective communication between empiricists and theorists by making interdisciplinary efforts to explain complex mathematical concepts to physicians and, equally important, to elucidate complex medical concepts to physicists or mathematicians.This book will be of great interest to medical students, professionals and academics, as well as students and researchers of applied mathematics, especially those interested in fractional calculus and fractals.
Fractional Calculus for Skeptics I
The Fractal Paradigm
AvYangQuan Chen,Bruce J. West
E-bok
PDF, Engelska, 2024
3 473 kr
Läs direkt efter köp
This book is the first of its kind on fractional calculus (FC), dedicated to advocating for FC in STEM education and research.
Fractional calculus is increasingly used today, but there remains a core population of skeptics regarding the utility of this "new" calculus. This book is intended for those who are skeptical about the need for fractional calculus to describe dynamic complex networks and must be convinced of its use on a case-by-case basis. It is a one-stop resource to rapidly read and replace the appropriate skepticism with new knowledge. It offers compelling reasons from the perspectives of the physical, social, and life sciences as to why fractional calculus is needed when addressing the complexity of an underlying STEM phenomenon. The six chapters are accompanied by useful and essential appendices and chapter-end references. Each includes new (fractional-order) ways of thinking about statistics, complexity dynamics, and what constitutes a solution to a complexity science problem.
The book will appeal to students and researchers in all STEM-related fields, such as engineering, physics, biology and biomedicine, climate change, big data, and machine learning. It is also suitable for general readers interested in these fields.
Fractional Calculus for Skeptics I
The Fractal Paradigm
AvYangQuan Chen,Bruce J. West
E-bok
Engelska, 2024
3 473 kr
Läs direkt efter köp
This book is the first of its kind on fractional calculus (FC), dedicated to advocating for FC in STEM education and research.
Fractional calculus is increasingly used today, but there remains a core population of skeptics regarding the utility of this "new" calculus. This book is intended for those who are skeptical about the need for fractional calculus to describe dynamic complex networks and must be convinced of its use on a case-by-case basis. It is a one-stop resource to rapidly read and replace the appropriate skepticism with new knowledge. It offers compelling reasons from the perspectives of the physical, social, and life sciences as to why fractional calculus is needed when addressing the complexity of an underlying STEM phenomenon. The six chapters are accompanied by useful and essential appendices and chapter-end references. Each includes new (fractional-order) ways of thinking about statistics, complexity dynamics, and what constitutes a solution to a complexity science problem.
The book will appeal to students and researchers in all STEM-related fields, such as engineering, physics, biology and biomedicine, climate change, big data, and machine learning. It is also suitable for general readers interested in these fields.
On the Fractal Language of Medicine
AvW. Alan C. Mutch,Bruce J. West
E-bok
PDF, Engelska, 2024
3 549 kr
Läs direkt efter köp
On the Fractal Language of Medicine bridges a very clear gap among the knowledge gained over the last 20 years in the physical and life sciences on network theory, organ synchronicity and communication, the understanding of fractal signatures in health and disease and the importance of fractional calculus in integrating these concepts.
The authors opine that the field of medicine has not appreciated this hard-won knowledge and has suffered greatly as a result. This book addresses this perceived deficiency by introducing medical researchers, clinicians, residents, first-year medical students and members of allied fields to the work of the so-called hard sciences. It seeks to facilitate effective communication between empiricists and theorists by making interdisciplinary efforts to explain complex mathematical concepts to physicians and, equally important, to elucidate complex medical concepts to physicists or mathematicians.
This book will be of great interest to medical students, professionals and academics, as well as students and researchers of applied mathematics, especially those interested in fractional calculus and fractals.
On the Fractal Language of Medicine
AvW. Alan C. Mutch,Bruce J. West
E-bok
Engelska, 2024
3 540 kr
Läs direkt efter köp
On the Fractal Language of Medicine bridges a very clear gap among the knowledge gained over the last 20 years in the physical and life sciences on network theory, organ synchronicity and communication, the understanding of fractal signatures in health and disease and the importance of fractional calculus in integrating these concepts.
The authors opine that the field of medicine has not appreciated this hard-won knowledge and has suffered greatly as a result. This book addresses this perceived deficiency by introducing medical researchers, clinicians, residents, first-year medical students and members of allied fields to the work of the so-called hard sciences. It seeks to facilitate effective communication between empiricists and theorists by making interdisciplinary efforts to explain complex mathematical concepts to physicians and, equally important, to elucidate complex medical concepts to physicists or mathematicians.
This book will be of great interest to medical students, professionals and academics, as well as students and researchers of applied mathematics, especially those interested in fractional calculus and fractals.
Fractional Calculus for Skeptics II
Quantifying Roughness
AvYangQuan Chen,Bruce J. West
E-bok
PDF, Engelska, 2026
3 530 kr
Läs direkt efter köp
This second volume of the multi-volume Fractional Calculus for Skeptics explores the concept of "e;roughness"e; and its applications in complex systems. It demonstrates how fractional calculus offers valuable insights into modeling real-world phenomena that traditional calculus struggles to address.Building on the first volume's foundational work advocating a fractal/fractional calculus paradigm shift, this volume offers an in-depth exploration of the concept of "e;roughness,"e; drawing parallels to what Benoit B. Mandelbrot originally intended to call the "e;Science of Roughness."e; The book introduces the novel concept of "e;body roughness"e; and demonstrates its practical applications through two case studies of "e;roughness-informed rehabilitation therapy"e; with closed-loop control systems. One study involves non-invasive, 40-Hz gamma-frequency sensory stimulation for Alzheimer's disease, and the other involves biologically variable ventilation using roughness-informed, closed-loop control. The four chapters are complemented by valuable appendices and essential chapter-end references, as well as insightful "e;take-home messages."e;This book will appeal to students, researchers, and professionals in STEM fields, including engineering, physics, biology, biomedicine, control engineering, rehabilitation, big data, and machine learning.
Fractional Calculus for Skeptics II
Quantifying Roughness
AvYangQuan Chen,Bruce J. West
E-bok
Engelska, 2026
3 521 kr
Läs direkt efter köp
This second volume of the multi-volume Fractional Calculus for Skeptics explores the concept of "e;roughness"e; and its applications in complex systems. It demonstrates how fractional calculus offers valuable insights into modeling real-world phenomena that traditional calculus struggles to address.Building on the first volume's foundational work advocating a fractal/fractional calculus paradigm shift, this volume offers an in-depth exploration of the concept of "e;roughness,"e; drawing parallels to what Benoit B. Mandelbrot originally intended to call the "e;Science of Roughness."e; The book introduces the novel concept of "e;body roughness"e; and demonstrates its practical applications through two case studies of "e;roughness-informed rehabilitation therapy"e; with closed-loop control systems. One study involves non-invasive, 40-Hz gamma-frequency sensory stimulation for Alzheimer's disease, and the other involves biologically variable ventilation using roughness-informed, closed-loop control. The four chapters are complemented by valuable appendices and essential chapter-end references, as well as insightful "e;take-home messages."e;This book will appeal to students, researchers, and professionals in STEM fields, including engineering, physics, biology, biomedicine, control engineering, rehabilitation, big data, and machine learning.
Fractional Calculus for Skeptics II
Quantifying Roughness
AvBruce J. West,YangQuan Chen
Inbunden, Engelska, 2026
2 995 kr
Skickas inom 10-15 vardagar
This second volume of the multi-volume Fractional Calculus for Skeptics explores the concept of “roughness” and its applications in complex systems. It demonstrates how fractional calculus offers valuable insights into modeling real-world phenomena that traditional calculus struggles to address.Building on the first volume's foundational work advocating a fractal/fractional calculus paradigm shift, this volume offers an in-depth exploration of the concept of “roughness,” drawing parallels to what Benoît B. Mandelbrot originally intended to call the “Science of Roughness.” The book introduces the novel concept of “body roughness” and demonstrates its practical applications through two case studies of “roughness-informed rehabilitation therapy” with closed-loop control systems. One study involves non-invasive, 40-Hz gamma-frequency sensory stimulation for Alzheimer's disease, and the other involves biologically variable ventilation using roughness-informed, closed-loop control. The four chapters are complemented by valuable appendices and essential chapter-end references, as well as insightful “take-home messages.”This book will appeal to students, researchers, and professionals in STEM fields, including engineering, physics, biology, biomedicine, control engineering, rehabilitation, big data, and machine learning.
Fractal Physiology
AvBruce J West,Larry S Liebovitchm. fl.
E-bok
PDF, Engelska, 2013
1 306 kr
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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.
Fractional Calculus View of Complexity
Tomorrow’s Science
AvBruce J. West
Inbunden, Engelska, 2015
1 786 kr
Skickas inom 10-15 vardagar
This book is not a text devoted to a pedagogical presentation of a specialized topic nor is it a monograph focused on the author's area of research. It accomplishes both these things while providing a rationale for why the reader ought to be interested in learning about fractional calculus. This book is for researchers who has heard about many of these scientifically exotic activities, but could not see how they fit into their own scientific interests, or how they could be made compatible with the way they understand science. It is also for beginners who have not yet decided where their scientific talents could be most productively applied. The book provides insight into the long-term direction of science and show how to develop the skills necessary to successfully do research in the twenty-first century.
Fractional Calculus View of Complexity
Tomorrow’s Science
AvBruce J. West
E-bok
PDF, Engelska, 2016
915 kr
Läs direkt efter köp
This book is not a text devoted to a pedagogical presentation of a specialized topic nor is it a monograph focused on the author''s area of research. It accomplishes both these things while providing a rationale for why the reader ought to be interested in learning about fractional calculus. This book is for researchers who has heard about many
Simplifying Complexity: Life is Uncertain, Unfair and Unequal
AvBruce J. West
Häftad, Engelska
1 353 kr
Skickas inom 3-6 vardagar
Crucial Event Rehabilitation Therapy
Multifractal Medicine
AvBruce J. West,Paolo Grigolinim. fl.
Häftad, Engelska, 2023
574 kr
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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 anideal 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.
Crucial Event Rehabilitation Therapy
Multifractal Medicine
AvMauro Bologna,Paolo Grigolinim. fl.
E-bok
Engelska, 2023
734 kr
Läs direkt efter köp
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 anideal 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.
Nature’s Patterns and the Fractional Calculus
AvBruce J. West
Inbunden, Engelska, 2017
1 786 kr
Skickas inom 5-8 vardagar
Complexity increases with increasing system size in everything from organisms to organizations. The nonlinear dependence of a system’s functionality on its size, by means of an allometry relation, is argued to be a consequence of their joint dependency on complexity (information). In turn, complexity is proven to be the source of allometry and to provide a new kind of force entailed by a system‘s information gradient. Based on first principles, the scaling behavior of the probability density function is determined by the exact solution to a set of fractional differential equations. The resulting lowest order moments in system size and functionality gives rise to the empirical allometry relations. Taking examples from various topics in nature, the book is of interest to researchers in applied mathematics, as well as, investigators in the natural, social, physical and life sciences. ContentsComplexityEmpirical allometryStatistics, scaling and simulationAllometry theoriesStrange kineticsFractional probability calculus
Nature's Patterns and the Fractional Calculus
AvBruce J. West
E-bok
Engelska, 2017
1 505 kr
Läs direkt efter köp
Complexity increases with increasing system size in everything from organisms to organizations. The nonlinear dependence of a system’s functionality on its size, by means of an allometry relation, is argued to be a consequence of their joint dependency on complexity (information). In turn, complexity is proven to be the source of allometry and to provide a new kind of force entailed by a system‘s information gradient. Based on first principles, the scaling behavior of the probability density function is determined by the exact solution to a set of fractional differential equations. The resulting lowest order moments in system size and functionality gives rise to the empirical allometry relations. Taking examples from various topics in nature, the book is of interest to researchers in applied mathematics, as well as, investigators in the natural, social, physical and life sciences.

ContentsComplexityEmpirical allometryStatistics, scaling and simulationAllometry theoriesStrange kineticsFractional probability calculus
Nature's Patterns and the Fractional Calculus
AvBruce J. West
E-bok
PDF, Engelska, 2017
1 505 kr
Läs direkt efter köp
Complexity increases with increasing system size in everything from organisms to organizations. The nonlinear dependence of a system’s functionality on its size, by means of an allometry relation, is argued to be a consequence of their joint dependency on complexity (information). In turn, complexity is proven to be the source of allometry and to provide a new kind of force entailed by a system‘s information gradient. Based on first principles, the scaling behavior of the probability density function is determined by the exact solution to a set of fractional differential equations. The resulting lowest order moments in system size and functionality gives rise to the empirical allometry relations. Taking examples from various topics in nature, the book is of interest to researchers in applied mathematics, as well as, investigators in the natural, social, physical and life sciences.

ContentsComplexityEmpirical allometryStatistics, scaling and simulationAllometry theoriesStrange kineticsFractional probability calculus
Networks of Echoes
Imitation, Innovation and Invisible Leaders
AvBruce J. West,Malgorzata Turalskam. fl.
Inbunden, Engelska, 2014
558 kr
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Networks of Echoes: Imitation, Innovation and Invisible Leaders is a mathematically rigorous and data rich book on a fascinating area of the science and engineering of social webs. There are hundreds of complex network phenomena whose statistical properties are described by inverse power laws. The phenomena of interest are not arcane events that we encounter only fleetingly, but are events that dominate our lives. We examine how this intermittent statistical behavior intertwines itself with what appears to be the organized activity of social groups. The book is structured as answers to a sequence of questions such as: How are decisions reached in elections and boardrooms? How is the stability of a society undermined by zealots and committed minorities and how is that stability re-established? Can we learn to answer such questions about human behavior by studying the way flocks of birds retain their formation when eluding a predator? These questions and others are answered using a generic model of a complex dynamic network—one whose global behavior is determined by a symmetric interaction among individuals based on social imitation. The complexity of the network is manifest in time series resulting from self-organized critical dynamics that have divergent first and second moments, are non-stationary, non-ergodic and non-Poisson. How phase transitions in the network dynamics influence such activity as decision making is a fascinating story and provides a context for introducing many of the mathematical ideas necessary for understanding complex networks in general. The decision making model (DMM) is selected to emphasize that there are features of complex webs that supersede specific mechanisms and need to be understood from a general perspective. This insightful overview of recent tools and their uses may serve as an introduction and curriculum guide in related courses.
Networks of Echoes
Imitation, Innovation and Invisible Leaders
AvPaolo Grigolini,Malgorzata Turalskam. fl.
E-bok
PDF, Engelska, 2014
712 kr
Läs direkt efter köp
Networks of Echoes: Imitation, Innovation and Invisible Leaders is a mathematically rigorous and data rich book on a fascinating area of the science and engineering of social webs. There are hundreds of complex network phenomena whose statistical properties are described by inverse power laws. The phenomena of interest are not arcane events that we encounter only fleetingly, but are events that dominate our lives. We examine how this intermittent statistical behavior intertwines itself with what appears to be the organized activity of social groups. The book is structured as answers to a sequence of questions such as: How are decisions reached in elections and boardrooms? How is the stability of a society undermined by zealots and committed minorities and how is that stability re-established? Can we learn to answer such questions about human behavior by studying the way flocks of birds retain their formation when eluding a predator? These questions and others are answered using a generic model of a complex dynamic network—one whose global behavior is determined by a symmetric interaction among individuals based on social imitation. The complexity of the network is manifest in time series resulting from self-organized critical dynamics that have divergent first and second moments, are non-stationary, non-ergodic and non-Poisson. How phase transitions in the network dynamics influence such activity as decision making is a fascinating story and provides a context for introducing many of the mathematical ideas necessary for understanding complex networks in general. The decision making model (DMM) is selected to emphasize that there are features of complex webs that supersede specific mechanisms and need to be understood from a general perspective. This insightful overview of recent tools and their uses may serve as an introduction and curriculum guide in related courses.
Networks of Echoes
Imitation, Innovation and Invisible Leaders
AvBruce J. West,Malgorzata Turalskam. fl.
Häftad, Engelska, 2016
558 kr
Skickas inom 10-15 vardagar
Networks of Echoes: Imitation, Innovation and Invisible Leaders is a mathematically rigorous and data rich book on a fascinating area of the science and engineering of social webs. There are hundreds of complex network phenomena whose statistical properties are described by inverse power laws. The phenomena of interest are not arcane events that we encounter only fleetingly, but are events that dominate our lives. We examine how this intermittent statistical behavior intertwines itself with what appears to be the organized activity of social groups. The book is structured as answers to a sequence of questions such as: How are decisions reached in elections and boardrooms? How is the stability of a society undermined by zealots and committed minorities and how is that stability re-established? Can we learn to answer such questions about human behavior by studying the way flocks of birds retain their formation when eluding a predator? These questions and others are answered using a generic model of a complex dynamic network—one whose global behavior is determined by a symmetric interaction among individuals based on social imitation. The complexity of the network is manifest in time series resulting from self-organized critical dynamics that have divergent first and second moments, are non-stationary, non-ergodic and non-Poisson. How phase transitions in the network dynamics influence such activity as decision making is a fascinating story and provides a context for introducing many of the mathematical ideas necessary for understanding complex networks in general. The decision making model (DMM) is selected to emphasize that there are features of complex webs that supersede specific mechanisms and need to be understood from a general perspective. This insightful overview of recent tools and their uses may serve as an introduction and curriculum guide in related courses.
Del 62 - Lecture Notes in Biomathematics
Essay on the Importance of Being Nonlinear
AvBruce J. West
Häftad, Engelska, 1985
558 kr
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One of my favorite quotes is from a letter of Charles Darwin (1887): "I have long discovered that geologists never read each other's works, and that the only object in writing a book is proof of earnestness, and that you do not form your opinions without undergoing labour of some kind. " It is not clear if this private opinion of Darwin was one that he held to be absolutely true, or was one of those opinions that, as with most of us, coincides with our "bad days," but is replaced with a more optimistic view on our "good days. " I hold the sense of the statement to be true in general, but not with regard to scientists never reading each other's work. Even if that were true however, the present essay. would still have been written as a proof of earnestness. This essay outlines my personal view of how nonlinear mathematics may be of value in formulating models outside the physical sciences. This perspective has developed over a number of years during which time I have repeatedly been amazed at how an "accepted" model would fail to faithfully characterize the full range of avail able data because of its implicit or explicit dependence on linear concepts. This essay is intended to demonstrate how linear ideas have come to dominate and therefore limit a scientist's ability to understand any given class of phenomena.
Essay on the Importance of Being Nonlinear
AvBruce J. West
E-bok
PDF, Engelska, 2013
712 kr
Läs direkt efter köp
One of my favorite quotes is from a letter of Charles Darwin (1887): "I have long discovered that geologists never read each other''s works, and that the only object in writing a book is proof of earnestness, and that you do not form your opinions without undergoing labour of some kind. " It is not clear if this private opinion of Darwin was one that he held to be absolutely true, or was one of those opinions that, as with most of us, coincides with our "bad days," but is replaced with a more optimistic view on our "good days. " I hold the sense of the statement to be true in general, but not with regard to scientists never reading each other''s work. Even if that were true however, the present essay. would still have been written as a proof of earnestness. This essay outlines my personal view of how nonlinear mathematics may be of value in formulating models outside the physical sciences. This perspective has developed over a number of years during which time I have repeatedly been amazed at how an "accepted" model would fail to faithfully characterize the full range of avail able data because of its implicit or explicit dependence on linear concepts. This essay is intended to demonstrate how linear ideas have come to dominate and therefore limit a scientist''s ability to understand any given class of phenomena.
Del 1 - STUDIES OF NONLINEAR PHENOMENA IN LIFE SCIENCE
FRACTAL PHYSIOLOGY AND CHAOS IN MEDICINE
AvBruce J West
Inbunden, Engelska, 1990
1 985 kr
Skickas inom 5-8 vardagar
This book discusses the application of the concepts of fractals and chaos to biomedical phenomena. In particular, it argues against the outdated notion of homeostasis; using biomedical data sets and modern mathematical concepts, the author attempts to convince the reader that life is at least a homeodynamic process with multiple states — each being capable of survival. Although relying heavily on the new mathematical ideas, the author has attempted to make the book self-contained. The mathematics is developed in a biological context and mathematical formulation for its own sake is avoided. In this book, the phenomena to be explained motivate the mathematical development rather than the other way round.
Del 1 - STUDIES OF NONLINEAR PHENOMENA IN LIFE SCIENCE
FRACTAL PHYSIOLOGY AND CHAOS IN MEDICINE
AvBruce J West
Häftad, Engelska, 1990
1 033 kr
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This book discusses the application of the concepts of fractals and chaos to biomedical phenomena. In particular, it argues against the outdated notion of homeostasis; using biomedical data sets and modern mathematical concepts, the author attempts to convince the reader that life is at least a homeodynamic process with multiple states — each being capable of survival. Although relying heavily on the new mathematical ideas, the author has attempted to make the book self-contained. The mathematics is developed in a biological context and mathematical formulation for its own sake is avoided. In this book, the phenomena to be explained motivate the mathematical development rather than the other way round.
Del 17 - STUDIES OF NONLINEAR PHENOMENA IN LIFE SCIENCE
CRUCIAL EVENTS: WHY ARE CATASTROPHES NEVER EXPECTED?
AvBruce J West,Paolo Grigolini
Inbunden, Engelska, 2021
1 244 kr
Skickas inom 3-6 vardagar
A nonsimple (complex) system indicates a mix of crucial and non-crucial events, with very different statistical properties. It is the crucial events that determine the efficiency of information exchange between complex networks. For a large class of nonsimple systems, crucial events determine catastrophic failures - from heart attacks to stock market crashes.This interesting book outlines a data processing technique that separates the effects of the crucial from those of the non-crucial events in nonsimple time series extracted from physical, social and living systems. Adopting an informal conversational style, without sacrificing the clarity necessary to explain, the contents will lead the reader through concepts such as fractals, complexity and randomness, self-organized criticality, fractional-order differential equations of motion, and crucial events, always with an eye to helping to interpret what mathematics usually does in the development of new scientific knowledge.Both researchers and novitiate will find Crucial Events useful in learning more about the science of nonsimplicity.
Del 11 - STUDIES OF NONLINEAR PHENOMENA IN LIFE SCIENCE
WHERE MEDICINE WENT WRONG: REDISCOVERING THE PATH TO COMPLEXITY
AvBruce J West
Häftad, Engelska, 2006
1 148 kr
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Where Medicine Went Wrong explores how the idea of an average value has been misapplied to medical phenomena, distorted understanding and lead to flawed medical decisions. Through new insights into the science of complexity, traditional physiology is replaced with fractal physiology, in which variability is more indicative of health than is an average. The capricious nature of physiological systems is made conceptually manageable by smoothing over fluctuations and thinking in terms of averages. But these variations in such aspects as heart rate, breathing and walking are much more susceptible to the early influence of disease than are averages.It may be useful to quote from the late Stephen Jay Gould's book Full House on the errant nature of averages: “… our culture encodes a strong bias either to neglect or ignore variation. We tend to focus instead on measures of central tendency, and as a result we make some terrible mistakes, often with considerable practical import.” Dr West has quantified this observation and make it useful for the diagnosis of disease.

Bruce J West – författare

FRACTAL PHYSIOLOGY AND CHAOS IN MEDICINE (2ND EDITION)

Fractional Calculus View of Complexity

Biodynamics

Fractional Calculus for Skeptics I

On the Fractal Language of Medicine

Fractional Calculus for Skeptics I

Fractional Calculus for Skeptics I

On the Fractal Language of Medicine

On the Fractal Language of Medicine

Fractional Calculus for Skeptics II

Fractional Calculus for Skeptics II

Fractional Calculus for Skeptics II

Fractal Physiology

Fractional Calculus View of Complexity

Fractional Calculus View of Complexity

Simplifying Complexity: Life is Uncertain, Unfair and Unequal

Crucial Event Rehabilitation Therapy

Crucial Event Rehabilitation Therapy

Nature’s Patterns and the Fractional Calculus

Nature's Patterns and the Fractional Calculus

Nature's Patterns and the Fractional Calculus

Networks of Echoes

Networks of Echoes

Networks of Echoes

Essay on the Importance of Being Nonlinear

Essay on the Importance of Being Nonlinear

FRACTAL PHYSIOLOGY AND CHAOS IN MEDICINE

FRACTAL PHYSIOLOGY AND CHAOS IN MEDICINE

CRUCIAL EVENTS: WHY ARE CATASTROPHES NEVER EXPECTED?

WHERE MEDICINE WENT WRONG: REDISCOVERING THE PATH TO COMPLEXITY