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An Essay On The Importance Of Being Nonlinear
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Book Synopsis An Essay on the Importance of Being Nonlinear by : Bruce J. West
Download or read book An Essay on the Importance of Being Nonlinear written by Bruce J. West and published by Springer Science & Business Media. This book was released on 2013-03-13 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Physiology, Promiscuity, and Prophecy at the Millennium by : Bruce J. West
Download or read book Physiology, Promiscuity, and Prophecy at the Millennium written by Bruce J. West and published by World Scientific. This book was released on 1999 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Changing Mind written by Franco Orsucci and published by World Scientific. This book was released on 2002 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applies complexity theory to cognitive science, and the result is a transformation of this field.
Book Synopsis Crucial Events: Why Are Catastrophes Never Expected? by : Bruce J West
Download or read book Crucial Events: Why Are Catastrophes Never Expected? written by Bruce J West and published by World Scientific. This book was released on 2021-05-12 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Population Dynamics and the Tribolium Model: Genetics and Demography by : Robert F. Costantino
Download or read book Population Dynamics and the Tribolium Model: Genetics and Demography written by Robert F. Costantino and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of populations is becoming increasingly focused on dynamics. We believe there are two reasons for this trend. The ftrst is the impactof nonlinear dynamics with its exciting ideas and colorful language: bifurcations, domains of attraction, chaos, fractals, strange attractors. Complexity, which is so very much a part of biology, now seems to be also a part of mathematics. A second trend is the accessibility of the new concepts. Thebarriers tocommunicationbetween theoristandexperimentalistseemless impenetrable. The active participationofthe experimentalist means that the theory will obtain substance. Our role is the application of the theory of dynamics to the analysis ofbiological populations. We began our work early in 1979 by writing an ordinary differential equation for the rateofchange in adult numbers which was based on an equilibrium model proposed adecadeearlier. Duringthenextfewmonths weftlledournotebookswithstraightforward deductions from the model and its associated biological implications. Slowly, some of the biological observations were explained and papers followed on a variety of topics: genetic and demographic stability, stationary probability distributions for population size,population growth asabirth-deathprocess, natural selectionanddensity-dependent population growth, genetic disequilibrium, and the stationary stochastic dynamics of adult numbers.
Book Synopsis Caring for Creation by : Max Oelschlaeger
Download or read book Caring for Creation written by Max Oelschlaeger and published by Yale University Press. This book was released on 1996-01-01 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Argues that religion - blamed for contributing to the ecological crisis - provides an ethical context that will help solve the problem. The approach suggests that the environmentally positive aspects in various Western creation stories demonstrate religion
Book Synopsis Applied Computational Mathematics in Social Sciences by : Romulus-Catalin Damaceanu
Download or read book Applied Computational Mathematics in Social Sciences written by Romulus-Catalin Damaceanu and published by Bentham Science Publishers. This book was released on 2010 with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applied Computational Mathematics in Social Sciences adopts a modern scientific approach that combines knowledge from mathematical modeling with various aspects of social science. Special algorithms can be created to simulate an artificial society and a detailed analysis can subsequently be used to project social realities. This Ebook specifically deals with computations using the NetLogo platform, and is intended for researchers interested in advanced human geography and mathematical modeling studies.
Book Synopsis Cosmic Evolution by : Eric J. Chaisson
Download or read book Cosmic Evolution written by Eric J. Chaisson and published by Harvard University Press. This book was released on 2001-02-16 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chaisson addresses some of the most basic issues we can contemplate: the origin of matter and the origin of life, and the ways matter, life, and radiation interact and change with time. He designs for us an expansive yet intricate model depicting the origin and evolution of all material structures.
Book Synopsis Philosophy History Sophistry by : Dennis Rohatyn
Download or read book Philosophy History Sophistry written by Dennis Rohatyn and published by BRILL. This book was released on 2022-04-25 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Post-modernism believes in nothing, not even unbelief. Hence it is a genial version of nihilism, and the flip side of despair. Like skepticism (from which it descends), it is healthy insofar as it rejects all dogmas; but unhealthy insofar as it substitutes its own, while eating its own essence. This book diagnoses this disease, and offers irony as its cure. What failure of nerve did to Hellenism, strength of character must do for the decline of the best. Humor, laughter, and detachment are the gifts of historical art, and of Socratic science. As we take refuge in the myth of truth, we must realize that there is no truth in myth, and no comfort in illusion, except the lie of immortality.
Book Synopsis Cell Kinetic Modelling and the Chemotherapy of Cancer by : Helmut Knolle
Download or read book Cell Kinetic Modelling and the Chemotherapy of Cancer written by Helmut Knolle and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the last 30 years, many chemical compounds that are active against tumors have been discovered or developed. At the same time, new methods of testing drugs for cancer therapy have evolved. nefore 1964, drug testing on animal tumors was directed to observation of the incfease in life span of the host after a single dose. A new approach, in which the effects of multiple doses on the proliferation kinetics of the tumor in vivo as well as of cell lines in vitro are investigated, has been outlined by Skipper and his co-workers in a series of papers beginning in 1964 (Skipper, Schabel and Wilcox, 1964 and 1965). They also investigated the influence of the time schedule in the treatment of experimental tumors. Since the publication of those studies, cell population kinetics cannot be left out of any discussion of the rational basis of chemotherapy. When clinical oncologists began to apply cell kinetic concepts in practice about 15 years ago, the theoretical basis was still very poor, in spite of Skipper's progress, and the lack of re levant cytokinetic and pharmacologic data was apparent. Subsequently, much theoretical work has been done and many cell kinetic models have been elaborated (for a review see Eisen, 1977).
Book Synopsis Trees and Hierarchical Structures by : Andreas Dress
Download or read book Trees and Hierarchical Structures written by Andreas Dress and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: The "raison d'etre" of hierarchical dustering theory stems from one basic phe nomenon: This is the notorious non-transitivity of similarity relations. In spite of the fact that very often two objects may be quite similar to a third without being that similar to each other, one still wants to dassify objects according to their similarity. This should be achieved by grouping them into a hierarchy of non-overlapping dusters such that any two objects in ~ne duster appear to be more related to each other than they are to objects outside this duster. In everyday life, as well as in essentially every field of scientific investigation, there is an urge to reduce complexity by recognizing and establishing reasonable das sification schemes. Unfortunately, this is counterbalanced by the experience of seemingly unavoidable deadlocks caused by the existence of sequences of objects, each comparatively similar to the next, but the last rather different from the first.
Book Synopsis Mathematical Topics in Population Biology, Morphogenesis and Neurosciences by : Ei Teramoto
Download or read book Mathematical Topics in Population Biology, Morphogenesis and Neurosciences written by Ei Teramoto and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume represents the edited proceedings of the International Symposium on Mathematical Biology held in Kyoto, November 10-15, 1985. The symposium was or ganized by an international committee whose members are: E. Teramoto, M. Yamaguti, S. Amari, S.A. Levin, H. Matsuda, A. Okubo, L.M. Ricciardi, R. Rosen, and L.A. Segel. The symposium included technical sessions with a total of 11 invited papers, 49 contributed papers and a poster session where 40 papers were displayed. These Proceedings consist of selected papers from this symposium. This symposium was the second Kyoto meeting on mathematical topics in biology. The first was held in conjunction with the Sixth International Biophysics Congress in 1978. Since then this field of science has grown enormously, and the number of scientists in the field has rapidly increased. This is also the case in Japan. About 80 young japanese scientists and graduate students participated this time. . The sessions were divided into 4 ; , categories: 1) Mathematical Ecology and Population Biology, 2) Mathematical Theory of Developmental Biology and Morphogenesis, 3) Theoretical Neurosciences, and 4) Cell Kinetics and Other Topics. In every session, there were stimulating and active discussions among the participants. We are convinced that the symposium was highly successful in transmitting scientific information across disciplines and in establishing fruitful contacts among the participants. We owe this success to the cooperation of all participants.
Book Synopsis Where Medicine Went Wrong by : Bruce J. West
Download or read book Where Medicine Went Wrong written by Bruce J. West and published by World Scientific. This book was released on 2006 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of solid state ionics deals with ionically conducting materials in the solid state and numerous devices based on such materials. Solid state ionic materials cover a wide spectrum, ranging from inorganic crystalline and polycrystalline solids, ceramics, glasses, polymers, composites and nano-scale materials. A large number of Scientists in Asia are engaged in research in solid state ionic materials and devices and since 1988. The Asian Society for solid state ionics has played a key role in organizing a series of bi-ennial conferences on solid state ionics in different Asian countries. The contributions in this volume were presented at the 10th conference in the series organized by the Postgraduate Institute of Science (PGIS) and the Faculty of Science, University of Peradeniya, Sri Lanka, which coincided with the 10th Anniversary of the Postgraduate Institute of Science (PGIS). The topics cover solid state ionic materials as well as such devices as solid state batteries, fuel cells, sensors, and electrochromic devices. The aspects covered include theoretical studies and modeling, experimental techniques, materials synthesis and characterization, device fabrication and characterization.
Book Synopsis Stochastic Methods in Biology by : Motoo Kimura
Download or read book Stochastic Methods in Biology written by Motoo Kimura and published by Springer Science & Business Media. This book was released on 2013-03-13 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: The use of probabilistic methods in the biological sciences has been so well established by now that mathematical biology is regarded by many as a distinct dis cipline with its own repertoire of techniques. The purpose of the Workshop on sto chastic methods in biology held at Nagoya University during the week of July 8-12, 1985, was to enable biologists and probabilists from Japan and the U. S. to discuss the latest developments in their respective fields and to exchange ideas on the ap plicability of the more recent developments in stochastic process theory to problems in biology. Eighteen papers were presented at the Workshop and have been grouped under the following headings: I. Population genetics (five papers) II. Measure valued diffusion processes related to population genetics (three papers) III. Neurophysiology (two papers) IV. Fluctuation in living cells (two papers) V. Mathematical methods related to other problems in biology, epidemiology, population dynamics, etc. (six papers) An important feature of the Workshop and one of the reasons for organizing it has been the fact that the theory of stochastic differential equations (SDE's) has found a rich source of new problems in the fields of population genetics and neuro biology. This is especially so for the relatively new and growing area of infinite dimensional, i. e. , measure-valued or distribution-valued SDE's. The papers in II and III and some of the papers in the remaining categories represent these areas.
Book Synopsis Fractional Calculus View of Complexity by : Bruce J. West
Download or read book Fractional Calculus View of Complexity written by Bruce J. West and published by CRC Press. This book was released on 2016-01-05 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Patterns, Information And Chaos In Neuronal Systems by : Gunther Balz
Download or read book Patterns, Information And Chaos In Neuronal Systems written by Gunther Balz and published by World Scientific. This book was released on 1993-06-07 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second volume in a series intended to give clear expositions of the applications of the new techniques developed to understand nonlinear phenomena in the life sciences. The first paper by West, Mackey and Chen is methodological in nature and reviews how to distinguish between noise in biomedical data sets and irregularities generated by deterministic dynamical equations. The second paper by Hock, Schöner, Balz, Eastman and Voss addresses the problem of pattern formation and pattern change in the vision system. The authors emphasize the experimental correspondence between quantifiable perceptual phenomena and certain features of nonlinear dynamical systems theory.The paper by Chay focuses on modeling strategies for biological phenomena that manifest strong nonlinear behavior. Biological rhythms and electrical bursting phenomena are discussed in detail, and certain apparently random processes are shown to be describable by chaos. The final paper is an attempt by Nicolis and Katsikas to use nonlinear dynamics systems theory to develop a general theory of linguistics. The concepts of information and pattern recognition are used in concert with that of a dynamic attractor to argue for the general properties of a cognitive processor.
Book Synopsis Depth Perception in Frogs and Toads by : Donald House
Download or read book Depth Perception in Frogs and Toads written by Donald House and published by Springer Science & Business Media. This book was released on 2013-03-13 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: Depth Perception in Frogs and Toads provides a comprehensive exploration of the phenomenon of depth perception in frogs and toads, as seen from a neuro-computational point of view. Perhaps the most important feature of the book is the development and presentation of two neurally realizable depth perception algorithms that utilize both monocular and binocular depth cues in a cooperative fashion. One of these algorithms is specialized for computation of depth maps for navigation, and the other for the selection and localization of a single prey for prey catching. The book is also unique in that it thoroughly reviews the known neuroanatomical, neurophysiological and behavioral data, and then synthesizes, organizes and interprets that information to explain a complex sensory-motor task. The book will be of special interest to that segment of the neural computing community interested in understanding natural neurocomputational structures, particularly to those working in perception and sensory-motor coordination. It will also be of interest to neuroscientists interested in exploring the complex interactions between the neural substrates that underly perception and behavior.
