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Author : Neil Dubin
Publisher : Springer Verlag
ISBN 13 : 9780387077864
Total Pages : 0 pages
Book Rating : 4.0/5 (778 download)
Download or read book A Stochastic Model for Immunological Feedback in Carcinogenesis written by Neil Dubin and published by Springer Verlag. This book was released on 1976 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : N. Dubin
Publisher : Springer Science & Business Media
ISBN 13 : 364246338X
Total Pages : 177 pages
Book Rating : 4.6/5 (424 download)
Download or read book A Stochastic Model for Immunological Feedback in Carcinogenesis: Analysis and Approximations written by N. Dubin and published by Springer Science & Business Media. This book was released on 2013-03-13 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic processes often pose the difficulty that, as soon as a model devi ates from the simplest kinds of assumptions, the differential equations obtained for the density and the generating functions become mathematically formidable. Worse still, one is very often led to equations which have no known solution and don't yield to standard analytical methods for differential equations. In the model considered here, one for tumor growth with an immunological re sponse from the normal tissue, a nonlinear term in the transition probability for the death of a tumor cell leads to the above-mentioned complications. Despite the mathematical disadvantages of this nonlinearity, we are able to consider a more sophisticated model biologically. Ultimately, in order to achieve a more realistic representation of a complicated phenomenon, it is necessary to examine mechanisms which allow the model to deviate from the more mathematically tractable linear format. Thus far, stochastic models for tumor growth have almost exclusively considered linear transition probabilities.
Author : Neil Bubin
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (472 download)
Download or read book A stochastic model for immunological feedback in carcinogenesis written by Neil Bubin and published by . This book was released on 1976 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : M.H. Holmes
Publisher : Springer Science & Business Media
ISBN 13 : 3642464459
Total Pages : 113 pages
Book Rating : 4.6/5 (424 download)
Download or read book Mathematical Modeling of the Hearing Process written by M.H. Holmes and published by Springer Science & Business Media. This book was released on 2013-03-13 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: The articles of these proceedings arise from a NSF-CBMS regional conference on the mathematical modeling of the hearing process, that was held at Rensselaer Polytechnic Institute in the summer of 1980. To put the a=ticles in perspective, it is best to briefly review the history of suc~ modeling. It has proceeded, more or less, in three stages. The first was initiated by Herman Helmholtz in the 1880's, whose theories dominated the subject for years. However, because of his lack of accurate experimental data and his heuristic arguments it became apparent that his models needed revision. Accordingly, based on the experimental observations of von Bekesy, the "long wave" theories were developed in the 1950's by investigators such as Zwislocki, Peterson, and Bogert. However, as the ex?eri~ents became more refined (such as Rhode's ~wssbauer Measurements) even these models came into question. This has brought on a flurry of 'activity in recent years into how to extend the models to account for these more recent eXT. lerimental observations. One approach is through a device co~monly refered to as a second filter (see Allen's article) and another is through a more elaborate hydroelastic model (see Chadwick's article). In conjunction with this latter approach, there has been some recent work on developing a low frequency model of the cochlea (see Holmes' article).
Author : R. Collins
Publisher : Springer Science & Business Media
ISBN 13 : 3642501532
Total Pages : 111 pages
Book Rating : 4.6/5 (425 download)
Download or read book Mathematical Models of the Dynamics of the Human Eye written by R. Collins and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 111 pages. Available in PDF, EPUB and Kindle. Book excerpt: A rich and abundant literature has developed during the last half century dealing with mechanical aspects of the eye, mainly from clinical and, experimental points of view. For the most part, workers have attempted to shed light on the complex set of conditions known by the general term glaucoma. These conditions are characterised by an increase in intraocular pressure sufficient to cause de generation of the optic disc and concomitant defects in the visual field, which, if not controlled, lead to inevitable permanent blindness. In the United States alone, an estimated 50,000 persons are blind as a result of glaucoma, which strikes about 2% of the population over 40 years of age (Vaughan and Asbury, 1974). An understanding of the underlying mechanisms of glaucoma is hindered by the fact that elevated intraocular pressure, like a runny nose, is but a symptom which may have a variety of causes. Only by turning to the initial pathology can one hope to understand this important class of medical problems.
Author : R. E. Miles
Publisher : Springer Science & Business Media
ISBN 13 : 3642930891
Total Pages : 338 pages
Book Rating : 4.6/5 (429 download)
Download or read book Geometrical Probability and Biological Structures: Buffon’s 200th Anniversary written by R. E. Miles and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : U. an der Heiden
Publisher : Springer Science & Business Media
ISBN 13 : 3642455174
Total Pages : 172 pages
Book Rating : 4.6/5 (424 download)
Download or read book Analysis of Neural Networks written by U. an der Heiden and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this work is a unified and general treatment of activity in neural networks from a mathematical pOint of view. Possible applications of the theory presented are indica ted throughout the text. However, they are not explored in de tail for two reasons : first, the universal character of n- ral activity in nearly all animals requires some type of a general approach~ secondly, the mathematical perspicuity would suffer if too many experimental details and empirical peculiarities were interspersed among the mathematical investigation. A guide to many applications is supplied by the references concerning a variety of specific issues. Of course the theory does not aim at covering all individual problems. Moreover there are other approaches to neural network theory (see e.g. Poggio-Torre, 1978) based on the different lev els at which the nervous system may be viewed. The theory is a deterministic one reflecting the average be havior of neurons or neuron pools. In this respect the essay is written in the spirit of the work of Cowan, Feldman, and Wilson (see sect. 2.2). The networks are described by systems of nonlinear integral equations. Therefore the paper can also be read as a course in nonlinear system theory. The interpretation of the elements as neurons is not a necessary one. However, for vividness the mathematical results are often expressed in neurophysiological terms, such as excitation, inhibition, membrane potentials, and impulse frequencies. The nonlinearities are essential constituents of the theory.
Author : M. B. Katz
Publisher : Springer Science & Business Media
ISBN 13 : 3642455077
Total Pages : 188 pages
Book Rating : 4.6/5 (424 download)
Download or read book Questions of Uniqueness and Resolution in Reconstruction from Projections written by M. B. Katz and published by Springer Science & Business Media. This book was released on 2013-03-13 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reconstruction from projections has revolutionized radiology and has now become one of the most important tools of medical diagnosis The E. M. I. Scanner is one example. In this text, some fundamental theoretical and practical questions are resolved. Despite recent research activity in the area, the crucial subject of the uniqueness of the reconstruction and the effect of noise in the data posed some unsettled fundamental questions. In particular, Kennan Smith proved that if we describe an object by a C^inf_o function, i.e., infinitely differentiable with compact support, then there are other objects with the same shape, i.e., support, which can differ almost arbitrarily and still have the same projections in finitely many directions. On the other hand, he proved that objects in finite dimensional function spaces are uniquely determined by a single projection for almost all angles, i.e., except on a set of measure zero. Along these lines, Herman and Rowland in "Three Methods for reconstructing objects from x-rays: a comparative study" (1973) showed that reconstructions obtained from the commonly used algorithms can grossly misrepresent the object and that the algorithm which produced the best reconstruction when using noiseless data gave unsatisfactory results with noisy data. Equally important are reports in Science, and personal communications by radiologists indicating that in medical practice failure rates of reconstruction vary from four to twenty percent. within this work, the mathematical dilemma posed by Kennan Smith's result is discussed and clarified.
Author : Duane G. Albrecht
Publisher : Springer Science & Business Media
ISBN 13 : 3642931995
Total Pages : 233 pages
Book Rating : 4.6/5 (429 download)
Download or read book Recognition of Pattern and Form written by Duane G. Albrecht and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Angelika Wörz-Busekros
Publisher : Springer Science & Business Media
ISBN 13 : 3642510388
Total Pages : 247 pages
Book Rating : 4.6/5 (425 download)
Download or read book Algebras in Genetics written by Angelika Wörz-Busekros and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of these notes is to give a rather complete presentation of the mathematical theory of algebras in genetics and to discuss in detail many applications to concrete genetic situations. Historically, the subject has its origin in several papers of Etherington in 1939- 1941. Fundamental contributions have been given by Schafer, Gonshor, Holgate, Reiers¢l, Heuch, and Abraham. At the moment there exist about forty papers in this field, one survey article by Monique Bertrand from 1966 based on four papers of Etherington, a paper by Schafer and Gonshor's first paper. Furthermore Ballonoff in the third section of his book "Genetics and Social Structure" has included four papers by Etherington and Reiers¢l's paper. Apparently a complete review, in par ticular one comprising more recent results was lacking, and it was difficult for students to enter this field of research. I started to write these notes in spring 1978. A first german version was finished at the end of that year. Further revision and translation required another year. I hope that the notes in their present state provide a reasonable review and that they will facilitate access to this field. I am especially grateful to Professor K. -P. Hadeler and Professor P. Holgate for reading the manuscript and giving essential comments to all versions of the text. I am also very grateful to Dr. I. Heuch for many discussions during and after his stay in TUbingen. I wish to thank Dr. V. M.
Author : S. Amari
Publisher : Springer Science & Business Media
ISBN 13 : 3642464661
Total Pages : 460 pages
Book Rating : 4.6/5 (424 download)
Download or read book Competition and Cooperation in Neural Nets written by S. Amari and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: The human brain, wi th its hundred billion or more neurons, is both one of the most complex systems known to man and one of the most important. The last decade has seen an explosion of experimental research on the brain, but little theory of neural networks beyond the study of electrical properties of membranes and small neural circuits. Nonetheless, a number of workers in Japan, the United States and elsewhere have begun to contribute to a theory which provides techniques of mathematical analysis and computer simulation to explore properties of neural systems containing immense numbers of neurons. Recently, it has been gradually recognized that rather independent studies of the dynamics of pattern recognition, pattern format::ion, motor control, self-organization, etc. , in neural systems do in fact make use of common methods. We find that a "competition and cooperation" type of interaction plays a fundamental role in parallel information processing in the brain. The present volume brings together 23 papers presented at a U. S. -Japan Joint Seminar on "Competition and Cooperation in Neural Nets" which was designed to catalyze better integration of theory and experiment in these areas. It was held in Kyoto, Japan, February 15-19, 1982, under the joint sponsorship of the U. S. National Science Foundation and the Japan Society for the Promotion of Science. Participants included brain theorists, neurophysiologists, mathematicians, computer scientists, and physicists. There are seven papers from the U. S.
Author : D. Smith
Publisher : Springer Science & Business Media
ISBN 13 : 3642810462
Total Pages : 493 pages
Book Rating : 4.6/5 (428 download)
Download or read book Mathematical Demography written by D. Smith and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is an effort to bring together important contributions to the mathe matical development of demography and to suggest briefly their historical context. We have tried to find who first thought of the several concepts and devices commonly used by demographers, what sort of problem he was facing to which the device or concept seemed the solution, and how his invention developed subsequently in the hands of others. Historically, the book starts with a Roman table of life expectancies from the third century a. d. about which we know little, and with John Graunt's explora tions in an area that was still popularly suspect when he wrote in 1662. These are followed by the astronomer Halley, who looked into the field long enough to invent the life table and to notice that Their Majesties would take a sizeable loss on the annuity scheme they had just launched; and by Euler, who was first to devise the formulas of stable population theory and to apply them to filling gaps in data To these we add the handful of further contributions in the 19th century and many pieces from the explosion of contributions that began in this century with Lotka. We doubt that we have managed to trace everything back to its ultimate beginning, and suspect that our nominees in some cases have been anticipated by predecessors who will be turned up by other students.
Author : D.E. Matthews
Publisher : Springer Science & Business Media
ISBN 13 : 3642930670
Total Pages : 394 pages
Book Rating : 4.6/5 (429 download)
Download or read book Mathematics and the Life Sciences written by D.E. Matthews and published by Springer Science & Business Media. This book was released on 2013-03-13 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: For two weeks in August, 1975 more than 140 mathematicians and other scientists gathered at the Universite de Sherbrooke. The occasion was the 15th Biennial Seminar of the Canadian Mathematical Congress, entitled Mathematics and the Life Sciences. Participants in this inter disciplinary gathering included researchers and graduate students in mathematics, seven different areas of biological science, physics, chemistry and medical science. Geographically, those present came from the United States and the United Kingdom as well as from academic departments and government agencies scattered across Canada. In choosing this particular interdisciplinary topic the programme committee had two chief objectives. These were to promote Canadian research in mathematical problems of the life sciences, and to encourage co-operation and exchanges between mathematical scientists" biologists and medical re searchers. To accomplish these objective the committee assembled a stim ulating programme of lectures and talks. Six principal lecturers each delivered a series of five one-hour lectures in which various aspects of the interaction between mathematics and the life sciences were considered. In addition researchers working in the areas of health, population biology, physiology and development biology and disease processes were invited to give more than 25 hours of complementary talks.
Author : N.G. Van Kampen
Publisher : Elsevier
ISBN 13 : 0080571387
Total Pages : 482 pages
Book Rating : 4.0/5 (85 download)
Download or read book Stochastic Processes in Physics and Chemistry written by N.G. Van Kampen and published by Elsevier. This book was released on 1992-11-20 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new edition of Van Kampen's standard work has been completely revised and updated. Three major changes have also been made. The Langevin equation receives more attention in a separate chapter in which non-Gaussian and colored noise are introduced. Another additional chapter contains old and new material on first-passage times and related subjects which lay the foundation for the chapter on unstable systems. Finally a completely new chapter has been written on the quantum mechanical foundations of noise. The references have also been expanded and updated.
Author : National Library of Medicine (U.S.)
Publisher :
ISBN 13 :
Total Pages : 1378 pages
Book Rating : 4.3/5 (91 download)
Download or read book Current Catalog written by National Library of Medicine (U.S.) and published by . This book was released on with total page 1378 pages. Available in PDF, EPUB and Kindle. Book excerpt: First multi-year cumulation covers six years: 1965-70.
Author : Alexander D Tsodikov
Publisher : World Scientific
ISBN 13 : 9814501840
Total Pages : 287 pages
Book Rating : 4.8/5 (145 download)
Download or read book Stochastic Models Of Tumor Latency And Their Biostatistical Applications written by Alexander D Tsodikov and published by World Scientific. This book was released on 1996-03-20 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research monograph discusses newly developed mathematical models and methods that provide biologically meaningful inferences from data on cancer latency produced by follow-up and discrete surveillance studies. Methods for designing optimal strategies of cancer surveillance are systematically presented for the first time in this book. It offers new approaches to the stochastic description of tumor latency, employs biologically-based models for making statistical inference from data on tumor recurrence and also discusses methods of statistical analysis of data resulting from discrete surveillance strategies. It also offers insight into the role of prognostic factors based on the interpretation of their effects in terms of parameters endowed with biological meaning, as well as methods for designing optimal schedules of cancer screening and surveillance. Last but not least, it discusses survival models allowing for cure rates and the choice of optimal treatment based on covariate information, and presents numerous examples of real data analysis.
Author :
Publisher :
ISBN 13 :
Total Pages : 732 pages
Book Rating : 4.:/5 (319 download)
Download or read book Revue roumaine de biochimie written by and published by . This book was released on 1977 with total page 732 pages. Available in PDF, EPUB and Kindle. Book excerpt:
