Diffusion Processes And Related Topics In Biology

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Diffusion Processes And Related Topics In Biology
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Author : Luigi M. Ricciardi
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-13
Diffusion Processes And Related Topics In Biology written by Luigi M. Ricciardi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-13 with Mathematics categories.
These notes are based on a one-quarter course given at the Department of Biophysics and Theoretical Biology of the University of Chicago in 1916. The course was directed to graduate students in the Division of Biological Sciences with interests in population biology and neurobiology. Only a slight acquaintance with probability and differential equations is required of the reader. Exercises are interwoven with the text to encourage the reader to play a more active role and thus facilitate his digestion of the material. One aim of these notes is to provide a heuristic approach, using as little mathematics as possible, to certain aspects of the theory of stochastic processes that are being increasingly employed in some of the population biol ogy and neurobiology literature. While the subject may be classical, the nov elty here lies in the approach and point of view, particularly in the applica tions such as the approach to the neuronal firing problem and its related dif fusion approximations. It is a pleasure to thank Professors Richard C. Lewontin and Arnold J.F. Siegert for their interest and support, and Mrs. Angell Pasley for her excellent and careful typing. I . PRELIMINARIES 1. Terminology and Examples Consider an experiment specified by: a) the experiment's outcomes, ~, forming the space S; b) certain subsets of S (called events) and by the probabilities of these events.
Diffusion Processes And Related Topics In Biology
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Author : Luigi M Ricciardi
language : en
Publisher:
Release Date : 1977-05-01
Diffusion Processes And Related Topics In Biology written by Luigi M Ricciardi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977-05-01 with categories.
Diffusion Processes And Related Topics In Biology
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Author : Christopher Hookway
language : en
Publisher:
Release Date : 1977
Diffusion Processes And Related Topics In Biology written by Christopher Hookway and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with categories.
Diffusion Processes And Related Topics In Biology Notes Taken
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Author : Luigi M. Ricciardi
language : en
Publisher:
Release Date : 1977
Diffusion Processes And Related Topics In Biology Notes Taken written by Luigi M. Ricciardi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with categories.
Mathematical Topics In Population Biology Morphogenesis And Neurosciences
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Author : Ei Teramoto
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-08
Mathematical Topics In Population Biology Morphogenesis And Neurosciences written by Ei Teramoto and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-08 with Mathematics categories.
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.
Cybernetics And Systems Research 92 Proceedings Of The 11th European Meeting On Cybernetics And Systems Research In 2 Volumes
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Author : Robert Trappl
language : en
Publisher: World Scientific
Release Date : 1992-03-27
Cybernetics And Systems Research 92 Proceedings Of The 11th European Meeting On Cybernetics And Systems Research In 2 Volumes written by Robert Trappl and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-03-27 with categories.
The 210 articles which are divided into 18 sections in this new reference work represent the most recent findings in cybernetics and systems research. It brings together contributions from leading scientists from all over the world — Europe, North America, South America, Asia, Africa and Australia. This volume therefore gives a broad spectrum of the ongoing research worldwide.Topics covered in the 18 sections are: General Systems Methodology; Mathematical Systems Theory; Computer Aided Process Interpretation; Fuzzy Sets, Approximate Reasoning and Knowledge-based Systems; Designing and Systems; Biocybernetics and Mathematical Biology; Cybernetics in Medicine; Cybernetics of Socioeconomic Systems; Systems, Management and Organization; Cybernetics of National Development; Communication and Computers; Connectionism and Cognitive Processing; Intelligent Autonomous Systems; Artificial Intelligence; Impacts of Artificial Intelligence.
Structure From Physics To General Systems Festschrift Volume In Honor Of E R Caianiello On His Seventieth Birthday In 2 Volumes
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Author : Maria Marinaro
language : en
Publisher: World Scientific
Release Date : 1993-02-23
Structure From Physics To General Systems Festschrift Volume In Honor Of E R Caianiello On His Seventieth Birthday In 2 Volumes written by Maria Marinaro and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-02-23 with Science categories.
This Festschrift volume in honour of Prof. E R Caianiello contains invited papers of eminent scientists who have worked in the several areas to which Prof. Caianiello has given seminal contributions: quantum field theory, foundations of quantum mechanics and maximal acceleration (Vol. 1); neural nets, general systems theory and various topics of cybernetics (Vol. 2). The wide range of topics covered shows the fruitfulness of a higher unifying perspective on seemingly diverse subjects.
Advances In Differential And Difference Equations With Applications 2020
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Author : Dumitru Baleanu
language : en
Publisher: MDPI
Release Date : 2021-01-20
Advances In Differential And Difference Equations With Applications 2020 written by Dumitru Baleanu and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-20 with Computers categories.
It is very well known that differential equations are related with the rise of physical science in the last several decades and they are used successfully for models of real-world problems in a variety of fields from several disciplines. Additionally, difference equations represent the discrete analogues of differential equations. These types of equations started to be used intensively during the last several years for their multiple applications, particularly in complex chaotic behavior. A certain class of differential and related difference equations is represented by their respective fractional forms, which have been utilized to better describe non-local phenomena appearing in all branches of science and engineering. The purpose of this book is to present some common results given by mathematicians together with physicists, engineers, as well as other scientists, for whom differential and difference equations are valuable research tools. The reported results can be used by researchers and academics working in both pure and applied differential equations.
Systems Theory In Immunology
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Author : C. Bruni
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-08
Systems Theory In Immunology written by C. Bruni and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-08 with Mathematics categories.
This volume collects the contributions presented at the "Working Conference on System Theory in Immunology", held in Rome, May 1978. The aim of the Conference was to bring together immunologists on one side and experts in system theory and applied mathematics on the other, in order to identify problems of common interest and to establish a network of joint effort toward their solution. The methodologies of system theory for processing experimental data and for describing dynamical phenomena could indeed contribute significantly to the under standing of basic immunological facts. Conversely, the complexity of experimental results and of interpretative models should stimulate mathematicians to formulate new problems and to design appropriate procedures of analysis. The multitude of scientific publications in theoretical biology, appeared in recent years, confirms this trend and calls for extensive interaction between mat- matics and immunology. The material of this volume is divided into five sections, along the scheme of the Conference program.
Biomathematics And Related Computational Problems
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Author : L.M. Ricciardi
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Biomathematics And Related Computational Problems written by L.M. Ricciardi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Biomathematics emerged and rapidly grew as an independent discipline in the late sixties as scientists with various backgrounds in the mathematical, biological and physical sciences gathered together to form Departments and Institutes centered around this discipline that many at that time felt should fall between the cracks of legitimate science. For various reasons some of these new institutions vanished in the mid-seventies, particularly in the U. S. , the main reason for their demise being economic. Nevertheless, good biomathematical so that the range research has been ceaselessly carried on by numerous workers worldwide of this activity appears now as truly impressive: from useful and effective mathematical statements about problems that are firmly rooted in the 'wet' reality of biology to deep theoretical investigations on outstanding basic questions. It is also interesting to take note that some ideas and theories set forth by 'paleo-biomathematicians' almost a quarter of century ago are now becoming highly appreciated also by scientists engaged in quite different research fields. For instance, neural nets is the hot topic in computer science these days! Well aware of the growing interest in this relatively new field, years back I organized a small workshop on Biomathematics: Current Status and Future Perspectives which was held at the University of Salerno during the middle of April, 1980.