Reaction Diffusion Models With Spatially Inhomogeneous Diffusion Coefficients

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Peyresq Lectures on Nonlinear Phenomena

Author : Robin Kaiser
Publisher : World Scientific
ISBN 13 : 9789810243159
Total Pages : 302 pages
Book Rating : 4.2/5 (431 download)

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Book Synopsis Peyresq Lectures on Nonlinear Phenomena by : Robin Kaiser

Download or read book Peyresq Lectures on Nonlinear Phenomena written by Robin Kaiser and published by World Scientific. This book was released on 2000 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: " ... a compilation of lecture notes on various topics in nonlinear physics delivered by specialists during the summer schools organized by the Institut Non Linéaire de Nice (INLN) in Peyresq (French Alps of Provence) since 1998. The first volume, edited by R. Kaiser and J. Montaldi, contains courses from the years 1998 and 1999. This volume collects notes of the lectures given from the summers of 2000, 2001 and 2002"--Preface, v. 2.

Integral Geometry, Radon Transforms and Complex Analysis

Author : Carlos A. Berenstein
Publisher : Springer
ISBN 13 : 3540697020
Total Pages : 166 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Integral Geometry, Radon Transforms and Complex Analysis by : Carlos A. Berenstein

Download or read book Integral Geometry, Radon Transforms and Complex Analysis written by Carlos A. Berenstein and published by Springer. This book was released on 2006-11-14 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the notes of five short courses delivered at the "Centro Internazionale Matematico Estivo" session "Integral Geometry, Radon Transforms and Complex Analysis" held in Venice (Italy) in June 1996: three of them deal with various aspects of integral geometry, with a common emphasis on several kinds of Radon transforms, their properties and applications, the other two share a stress on CR manifolds and related problems. All lectures are accessible to a wide audience, and provide self-contained introductions and short surveys on the subjects, as well as detailed expositions of selected results.

Frontiers in Mathematical Biology

Author : Simon A. Levin
Publisher : Springer Science & Business Media
ISBN 13 : 3642501249
Total Pages : 637 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Frontiers in Mathematical Biology by : Simon A. Levin

Download or read book Frontiers in Mathematical Biology written by Simon A. Levin and published by Springer Science & Business Media. This book was released on 2013-03-13 with total page 637 pages. Available in PDF, EPUB and Kindle. Book excerpt: From a mathematical point of view, physiologically structured population models are an underdeveloped branch of the theory of infinite dimensional dynamical systems. We have called attention to four aspects: (i) A choice has to be made about the kind of equations one extracts from the predominantly verbal arguments about the basic assumptions, and subsequently uses as a starting point for a rigorous mathematical analysis. Though differential equations are easy to formulate (different mechanisms don't interact in infinites imal time intervals and so end up as separate terms in the equations) they may be hard to interpret rigorously as infinitesimal generators. Integral equations constitute an attractive alternative. (ii) The ability of physiologically structured population models to increase our un derstanding of the relation between mechanisms at the i-level and phenomena at the p-level will depend strongly on the development of dynamical systems lab facilities which are applicable to this class of models. (iii) Physiologically structured population models are ideally suited for the for mulation of evolutionary questions. Apart from the special case of age (see Charlesworth 1980, Yodzis 1989, Caswell 1989, and the references given there) hardly any theory exists at the moment. This will, hopefully, change rapidly in the coming years. Again the development of appropriate software may turn out to be crucial.

Experimental and Theoretical Advances in Biological Pattern Formation

Author : Hans G. Othmer
Publisher : Springer Science & Business Media
ISBN 13 : 1461524334
Total Pages : 384 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Experimental and Theoretical Advances in Biological Pattern Formation by : Hans G. Othmer

Download or read book Experimental and Theoretical Advances in Biological Pattern Formation written by Hans G. Othmer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the NATO ARW on 'Biological Pattern Formation' held at Merton College, University of Oxford, on 27-31 August, 1992. The objective of the workshop was to bring together a select group of theoreticians and experimental biologists to present the latest results in the area of biological pattern formation and to foster interactiqn across dis- plines. The workshop was divided into 5 main areas: (i) limb development, (ii) Dictyostelium discoideum, (iii) Drosophila, (iv) cell movement, (v) g- eral pattern formation. We thank all the participants for their contributions, enthusiasm, and willingness to collaborate. There was a genuine, open, and extremely fru- ful interaction between the experimentalists and theoreticians which made the workshop a success. We also thank The Welcome Trust for providing additional funding. The local organization fell mainly on Denise McKittrick and Beverley Bhaskhare at the Mathematical Institute, Oxford, and Jeanette Hudson and the staff of Merton College. We greatly appreciate their help and patience. We also thank Jonathan Sherratt, Wendy Brandts and Debbie Benson for helping out in the conference and for providing a happy welcome to parti- pants on a typically cold, wet and windy English summer day.

Mathematics Inspired by Biology

Author : O. Diekmann
Publisher : Springer
ISBN 13 : 3540481702
Total Pages : 274 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Mathematics Inspired by Biology by : O. Diekmann

Download or read book Mathematics Inspired by Biology written by O. Diekmann and published by Springer. This book was released on 2006-11-15 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: The summer school on Mathematics inspired by Biology was held at Martina Franca, Apulia, Italy in 1997. This volume presents five series of six lectures each. The common theme is the role of structure in shaping transient and ultimate dynamics. But the type of structure ranges from spatial (hadeler and maini in the deterministic setting, Durrett in the stochastic setting) to physiological (Diekmann) and order (Smith). Each contribution sketches the present state of affairs while, by including some wishful thinking, pointing at open problems that deserve attention.

Mathematical Modelling in Health, Social and Applied Sciences

Author : Hemen Dutta
Publisher : Springer Nature
ISBN 13 : 9811522863
Total Pages : 325 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Mathematical Modelling in Health, Social and Applied Sciences by : Hemen Dutta

Download or read book Mathematical Modelling in Health, Social and Applied Sciences written by Hemen Dutta and published by Springer Nature. This book was released on 2020-02-29 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses significant research findings in the field of mathematical modelling, with particular emphasis on important applied-sciences, health, and social issues. It includes topics such as model on viral immunology, stochastic models for the dynamics of influenza, model describing the transmission of dengue, model for human papillomavirus (HPV) infection, prostate cancer model, realization of economic growth by goal programming, modelling of grazing periodic solutions in discontinuous systems, modelling of predation system, fractional epidemiological model for computer viruses, and nonlinear ecological models. A unique addition in the proposed areas of research and education, this book is a valuable resource for graduate students, researchers and educators associated with the study of mathematical modelling of health, social and applied-sciences issues. Readers interested in applied mathematics should also find this book valuable.

The Once and Future Turing

Author : S. Barry Cooper
Publisher : Cambridge University Press
ISBN 13 : 131658917X
Total Pages : 398 pages
Book Rating : 4.3/5 (165 download)

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Book Synopsis The Once and Future Turing by : S. Barry Cooper

Download or read book The Once and Future Turing written by S. Barry Cooper and published by Cambridge University Press. This book was released on 2016-03-24 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: Alan Turing (1912–1954) made seminal contributions to mathematical logic, computation, computer science, artificial intelligence, cryptography and theoretical biology. In this volume, outstanding scientific thinkers take a fresh look at the great range of Turing's contributions, on how the subjects have developed since his time, and how they might develop still further. The contributors include Martin Davis, J. M. E. Hyland, Andrew R. Booker, Ueli Maurer, Kanti V. Mardia, S. Barry Cooper, Stephen Wolfram, Christof Teuscher, Douglas Richard Hofstadter, Philip K. Maini, Thomas E. Woolley, Eamonn A. Gaffney, Ruth E. Baker, Richard Gordon, Stuart Kauffman, Scott Aaronson, Solomon Feferman, P. D. Welch and Roger Penrose. These specially commissioned essays will provoke and engross the reader who wishes to understand better the lasting significance of one of the twentieth century's deepest thinkers.

Applications of Chaos and Nonlinear Dynamics in Science and Engineering - Vol. 4

Author : Santo Banerjee
Publisher : Springer
ISBN 13 : 3319170376
Total Pages : 308 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Applications of Chaos and Nonlinear Dynamics in Science and Engineering - Vol. 4 by : Santo Banerjee

Download or read book Applications of Chaos and Nonlinear Dynamics in Science and Engineering - Vol. 4 written by Santo Banerjee and published by Springer. This book was released on 2015-05-04 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chaos and nonlinear dynamics initially developed as a new emergent field with its foundation in physics and applied mathematics. The highly generic, interdisciplinary quality of the insights gained in the last few decades has spawned myriad applications in almost all branches of science and technology—and even well beyond. Wherever quantitative modeling and analysis of complex, nonlinear phenomena is required, chaos theory and its methods can play a key role. his fourth volume concentrates on reviewing further relevant contemporary applications of chaotic and nonlinear dynamics as they apply to the various cuttingedge branches of science and engineering. This encompasses, but is not limited to, topics such as synchronization in complex networks and chaotic circuits, time series analysis, ecological and biological patterns, stochastic control theory and vibrations in mechanical systems. Featuring contributions from active and leading research groups, this collection is ideal both as a reference and as a ‘recipe book’ full of tried and tested, successful engineering applications.

Viscosity Solutions and Applications

Author : Martino Bardi
Publisher : Springer
ISBN 13 : 3540690433
Total Pages : 268 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Viscosity Solutions and Applications by : Martino Bardi

Download or read book Viscosity Solutions and Applications written by Martino Bardi and published by Springer. This book was released on 2006-11-13 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume comprises five extended surveys on the recent theory of viscosity solutions of fully nonlinear partial differential equations, and some of its most relevant applications to optimal control theory for deterministic and stochastic systems, front propagation, geometric motions and mathematical finance. The volume forms a state-of-the-art reference on the subject of viscosity solutions, and the authors are among the most prominent specialists. Potential readers are researchers in nonlinear PDE's, systems theory, stochastic processes.

Quantitative Models for Microscopic to Macroscopic Biological Macromolecules and Tissues

Author : Luis Olivares-Quiroz
Publisher : Springer
ISBN 13 : 3319739751
Total Pages : 234 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Quantitative Models for Microscopic to Macroscopic Biological Macromolecules and Tissues by : Luis Olivares-Quiroz

Download or read book Quantitative Models for Microscopic to Macroscopic Biological Macromolecules and Tissues written by Luis Olivares-Quiroz and published by Springer. This book was released on 2018-02-26 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents cutting-edge research on the use of physical and mathematical formalisms to model and quantitatively analyze biological phenomena ranging from microscopic to macroscopic systems. The systems discussed in this compilation cover protein folding pathways, gene regulation in prostate cancer, quorum sensing in bacteria to mathematical and physical descriptions to analyze anomalous diffusion in patchy environments and the physical mechanisms that drive active motion in large sets of particles, both fundamental descriptions that can be applied to different phenomena in biology. All chapters are written by well-known experts on their respective research fields with a vast amount of scientific discussion and references in order the interested reader can pursue a further reading. Given these features, we consider Quantitative Models for Microscopic to Macroscopic Biological Macromolecules and Tissues as an excellent and up-to-date resource and reference for advanced undergraduate students, graduate students and junior researchers interested in the latest developments at the intersection of physics, mathematics, molecular biology, and computational sciences. Such research field, without hesitation, is one of the most interesting, challenging and active of this century and the next.

Mathematical Aspects of Pattern Formation in Biological Systems

Author : Juncheng Wei
Publisher : Springer Science & Business Media
ISBN 13 : 1447155262
Total Pages : 324 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Mathematical Aspects of Pattern Formation in Biological Systems by : Juncheng Wei

Download or read book Mathematical Aspects of Pattern Formation in Biological Systems written by Juncheng Wei and published by Springer Science & Business Media. This book was released on 2013-09-18 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is concerned with the mathematical analysis of patterns which are encountered in biological systems. It summarises, expands and relates results obtained in the field during the last fifteen years. It also links the results to biological applications and highlights their relevance to phenomena in nature. Of particular concern are large-amplitude patterns far from equilibrium in biologically relevant models. The approach adopted in the monograph is based on the following paradigms: • Examine the existence of spiky steady states in reaction-diffusion systems and select as observable patterns only the stable ones • Begin by exploring spatially homogeneous two-component activator-inhibitor systems in one or two space dimensions • Extend the studies by considering extra effects or related systems, each motivated by their specific roles in developmental biology, such as spatial inhomogeneities, large reaction rates, altered boundary conditions, saturation terms, convection, many-component systems. Mathematical Aspects of Pattern Formation in Biological Systems will be of interest to graduate students and researchers who are active in reaction-diffusion systems, pattern formation and mathematical biology.

Topics On Biomathematics - Proceedings Of The 2nd International Conference

Author : I Barbieri
Publisher : World Scientific
ISBN 13 : 9814552720
Total Pages : 354 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Topics On Biomathematics - Proceedings Of The 2nd International Conference by : I Barbieri

Download or read book Topics On Biomathematics - Proceedings Of The 2nd International Conference written by I Barbieri and published by World Scientific. This book was released on 1993-10-29 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers presented in the congress can roughly be classified into the following categories: theoretical and statistical mathematics applied to biological systems; image elaboration; dynamics of biological fluids; dynamics and statics of biological structures and computers in biology and medicine.

Mathematics in Engineering Sciences

Author : Mangey Ram
Publisher : CRC Press
ISBN 13 : 1351266306
Total Pages : 365 pages
Book Rating : 4.3/5 (512 download)

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Book Synopsis Mathematics in Engineering Sciences by : Mangey Ram

Download or read book Mathematics in Engineering Sciences written by Mangey Ram and published by CRC Press. This book was released on 2019-09-09 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book includes research studies, novel theory, as well as new methodology and applications in mathematics and management sciences. The book will provide a comprehensive range of mathematics applied to engineering areas for different tasks. It will offer an international perspective and a bridge between classical theory and new methodology in many areas, along with real-life applications. Features Offers solutions to multi-objective transportation problem under cost reliability using utility function Presents optimization techniques to support eco-efficiency assessment in manufacturing processes Covers distance-based function approach for optimal design of engineering processes with multiple quality characteristics Provides discrete time sliding mode control for non-linear networked control systems Discusses second law of thermodynamics as instruments for optimizing fluid dynamic systems and aerodynamic systems

On Growth, Form and Computers

Author : Sanjeev Kumar
Publisher : Elsevier
ISBN 13 : 0080497586
Total Pages : 474 pages
Book Rating : 4.0/5 (84 download)

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Book Synopsis On Growth, Form and Computers by : Sanjeev Kumar

Download or read book On Growth, Form and Computers written by Sanjeev Kumar and published by Elsevier. This book was released on 2003-10-03 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: Conceived for both computer scientists and biologists alike, this collection of 22 essays highlights the important new role that computers play in developmental biology research. Essays show how through computer modeling, researchers gain further insight into developmental processes. Featured essays also cover their use in designing computer algorithms to tackle computer science problems in areas like neural network design, robot control, evolvable hardware, and more. Peter Bentley, noted for his prolific research on evolutionary computation, and Sanjeev Kumar head up a respected team to guide readers through these very complex and fascinating disciplines.* Covers both developmental biology and computational development -- the only book of its kind!* Provides introductory material and more detailed information on BOTH disciplines * Includes contribututions from Richard Dawkins, Lewis Wolpert, Ian Stewart, and many other experts

Spatial Ecology via Reaction-Diffusion Equations

Author : Robert Stephen Cantrell
Publisher : John Wiley & Sons
ISBN 13 : 0470871288
Total Pages : 428 pages
Book Rating : 4.4/5 (78 download)

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Book Synopsis Spatial Ecology via Reaction-Diffusion Equations by : Robert Stephen Cantrell

Download or read book Spatial Ecology via Reaction-Diffusion Equations written by Robert Stephen Cantrell and published by John Wiley & Sons. This book was released on 2004-01-09 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many ecological phenomena may be modelled using apparently random processes involving space (and possibly time). Such phenomena are classified as spatial in their nature and include all aspects of pollution. This book addresses the problem of modelling spatial effects in ecology and population dynamics using reaction-diffusion models. * Rapidly expanding area of research for biologists and applied mathematicians * Provides a unified and coherent account of methods developed to study spatial ecology via reaction-diffusion models * Provides the reader with the tools needed to construct and interpret models * Offers specific applications of both the models and the methods * Authors have played a dominant role in the field for years Essential reading for graduate students and researchers working with spatial modelling from mathematics, statistics, ecology, geography and biology.

Models of Biological Pattern Formation

Author : Hans Meinhardt
Publisher :
ISBN 13 :
Total Pages : 252 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Models of Biological Pattern Formation by : Hans Meinhardt

Download or read book Models of Biological Pattern Formation written by Hans Meinhardt and published by . This book was released on 1982 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Systems Biology for Signaling Networks

Author : Sangdun Choi
Publisher : Springer Science & Business Media
ISBN 13 : 1441957979
Total Pages : 900 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Systems Biology for Signaling Networks by : Sangdun Choi

Download or read book Systems Biology for Signaling Networks written by Sangdun Choi and published by Springer Science & Business Media. This book was released on 2010-08-09 with total page 900 pages. Available in PDF, EPUB and Kindle. Book excerpt: System Biology encompasses the knowledge from diverse fields such as Molecular Biology, Immunology, Genetics, Computational Biology, Mathematical Biology, etc. not only to address key questions that are not answerable by individual fields alone, but also to help in our understanding of the complexities of biological systems. Whole genome expression studies have provided us the means of studying the expression of thousands of genes under a particular condition and this technique had been widely used to find out the role of key macromolecules that are involved in biological signaling pathways. However, making sense of the underlying complexity is only possible if we interconnect various signaling pathways into human and computer readable network maps. These maps can then be used to classify and study individual components involved in a particular phenomenon. Apart from transcriptomics, several individual gene studies have resulted in adding to our knowledge of key components that are involved in a signaling pathway. It therefore becomes imperative to take into account of these studies also, while constructing our network maps to highlight the interconnectedness of the entire signaling pathways and the role of that particular individual protein in the pathway. This collection of articles will contain a collection of pioneering work done by scientists working in regulatory signaling networks and the use of large scale gene expression and omics data. The distinctive features of this book would be: Act a single source of information to understand the various components of different signaling network (roadmap of biochemical pathways, the nature of a molecule of interest in a particular pathway, etc.), Serve as a platform to highlight the key findings in this highly volatile and evolving field, and Provide answers to various techniques both related to microarray and cell signaling to the readers.