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Pattern Formation In Biology Vision And Dynamics
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Book Synopsis Pattern Formation in Biology, Vision and Dynamics by : Alessandra Carbone
Download or read book Pattern Formation in Biology, Vision and Dynamics written by Alessandra Carbone and published by World Scientific. This book was released on 2000 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: Half a billion years of evolution have turned the eye into an unbelievable pattern detector. Everything we perceive comes in delightful multicolored forms. Now, in the age of science, we want to comprehend what and why we see. Two dozen outstanding biologists, chemists, physicists, psychologists, computer scientists and mathematicians met at the Institut d'Hautes Etudes Scientifiques in Bures-sur-Yvette, France. They expounded their views on the physical, biological and physiological mechanisms creating the tapestry of patterns we see in molecules, plants, insects, seashells, and even the human brain. This volume comprises surveys of different aspects of pattern formation and recognition, and is aimed at the scientifically minded reader.
Book Synopsis Pattern Formation In The Physical And Biological Sciences by : H. Frederick Nijhout
Download or read book Pattern Formation In The Physical And Biological Sciences written by H. Frederick Nijhout and published by CRC Press. This book was released on 2018-02-19 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Lecture Notes Volume represents the first time any of the summer school lectures have been collected and published on a discrete subject rather than grouping all of a season's lectures together. This volume provides a broad survey of current thought on the problem of pattern formation. Spanning six years of summer school lectures, it includes articles which examine the origin and evolution of spatial patterns in physio-chemical and biological systems from a great diversity of theoretical and mechanistic perspectives. In addition, most of these pieces have been updated by their authors and three articles never previously published have been added.
Book Synopsis Pattern Formation In The Physical And Biological Sciences by : H. Frederick Nijhout
Download or read book Pattern Formation In The Physical And Biological Sciences written by H. Frederick Nijhout and published by Westview Press. This book was released on 1997-06-03 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the best lectures from the Summer School Lectures volumes dealing with the theme of pattern formation. Topics include self-organization by simulated evolution, nonlinear dynamics of pattern formation in physics and biology, and the emergence of computational ecologies.
Book Synopsis Spatial Dynamics and Pattern Formation in Biological Populations by : Ranjit Kumar Upadhyay
Download or read book Spatial Dynamics and Pattern Formation in Biological Populations written by Ranjit Kumar Upadhyay and published by CRC Press. This book was released on 2021-02-15 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides an introduction to deterministic (and some stochastic) modeling of spatiotemporal phenomena in ecology, epidemiology, and neural systems. A survey of the classical models in the fields with up to date applications is given. The book begins with detailed description of how spatial dynamics/diffusive processes influence the dynamics of biological populations. These processes play a key role in understanding the outbreak and spread of pandemics which help us in designing the control strategies from the public health perspective. A brief discussion on the functional mechanism of the brain (single neuron models and network level) with classical models of neuronal dynamics in space and time is given. Relevant phenomena and existing modeling approaches in ecology, epidemiology and neuroscience are introduced, which provide examples of pattern formation in these models. The analysis of patterns enables us to study the dynamics of macroscopic and microscopic behaviour of underlying systems and travelling wave type patterns observed in dispersive systems. Moving on to virus dynamics, authors present a detailed analysis of different types models of infectious diseases including two models for influenza, five models for Ebola virus and seven models for Zika virus with diffusion and time delay. A Chapter is devoted for the study of Brain Dynamics (Neural systems in space and time). Significant advances made in modeling the reaction-diffusion systems are presented and spatiotemporal patterning in the systems is reviewed. Development of appropriate mathematical models and detailed analysis (such as linear stability, weakly nonlinear analysis, bifurcation analysis, control theory, numerical simulation) are presented. Key Features Covers the fundamental concepts and mathematical skills required to analyse reaction-diffusion models for biological populations. Concepts are introduced in such a way that readers with a basic knowledge of differential equations and numerical methods can understand the analysis. The results are also illustrated with figures. Focuses on mathematical modeling and numerical simulations using basic conceptual and classic models of population dynamics, Virus and Brain dynamics. Covers wide range of models using spatial and non-spatial approaches. Covers single, two and multispecies reaction-diffusion models from ecology and models from bio-chemistry. Models are analysed for stability of equilibrium points, Turing instability, Hopf bifurcation and pattern formations. Uses Mathematica for problem solving and MATLAB for pattern formations. Contains solved Examples and Problems in Exercises. The Book is suitable for advanced undergraduate, graduate and research students. For those who are working in the above areas, it provides information from most of the recent works. The text presents all the fundamental concepts and mathematical skills needed to build models and perform analyses.
Book Synopsis Pattern Formation in Morphogenesis by : Vincenzo Capasso
Download or read book Pattern Formation in Morphogenesis written by Vincenzo Capasso and published by Springer Science & Business Media. This book was released on 2012-10-03 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: Pattern Formation in Morphogenesis is a rich source of interesting and challenging mathematical problems. The volume aims at showing how a combination of new discoveries in developmental biology and associated modelling and computational techniques has stimulated or may stimulate relevant advances in the field. Finally it aims at facilitating the process of unfolding a mutual recognition between Biologists and Mathematicians of their complementary skills, to the point where the resulting synergy generates new and novel discoveries. It offers an interdisciplinary interaction space between biologists from embryology, genetics and molecular biology who present their own work in the perspective of the advancement of their specific fields, and mathematicians who propose solutions based on the knowledge grasped from biologists.
Book Synopsis The Dynamics of Patterns by : M I Rabinovich
Download or read book The Dynamics of Patterns written by M I Rabinovich and published by World Scientific. This book was released on 2000-10-31 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spirals, vortices, crystalline lattices, and other attractive patterns are prevalent in Nature. How do such beautiful patterns appear from the initial chaos? What universal dynamical rules are responsible for their formation? What is the dynamical origin of spatial disorder in nonequilibrium media? Based on the many visual experiments in physics, hydrodynamics, chemistry, and biology, this invaluable book answers those and related intriguing questions. The mathematical models presented for the dynamical theory of pattern formation are nonlinear partial differential equations. The corresponding theory is not so accessible to a wide audience. Consequently, the authors have made every attempt to synthesize long and complex mathematical calculations to exhibit the underlying physics. The book will be useful for final year undergraduates, but is primarily aimed at graduate students, postdoctoral fellows, and others interested in the puzzling phenomena of pattern formation. Contents:Patterns: Prelude to a Dynamical DescriptionLinear Stage of Pattern FormationModel EquationsThe Ginzburg–Landau Equation‘Crystal’ FormationQuasicrystalsBreaking of OrderLocalized PatternsSpiralsPatterns in Oscillating Soap FilmsPatterns in Colonies of MicroorganismsSpatial DisorderPatterns in Chaotic MediaEpilogue: Living Matter and Dynamic FormsA Short Guide to Nonlinear DynamicsKey Experiments in Pattern Formation Readership: Graduate students of mathematical physics and nonlinear science. Keywords:Quasicrystals;Disordered Patterns;Defects;Spirals;Turbulence;Synchronization;Convection;Capillary Waves;Chaotic Dynamics;Biological PatternsReviews: “This beautifully illustrated book brings together a remarkable array of pattern-forming phenomena … The authors have assembled an impressive collection of striking photographs and computer-generated images, and the book would be worth buying for this alone … the Appendix describing key experiments is a highlight. Here the authors outline the historical development of experiments in parametrically-excited patterns, thermal convection and diffusive chemical reactions.” UK Nonlinear News “This book contains a very impressive account of key ideas and results in nonlinear dynamics and an equally excellent description of important experiments in pattern formation … readers can gain quite comprehensive knowledge about all possible patterns and their mathematical theories by reading a single chapter, coupled with Appendix I.” Mathematical Reviews
Book Synopsis Pattern Formation and Dynamics in Nonequilibrium Systems by : Michael Cross
Download or read book Pattern Formation and Dynamics in Nonequilibrium Systems written by Michael Cross and published by Cambridge University Press. This book was released on 2009-07-16 with total page 547 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many exciting frontiers of science and engineering require understanding the spatiotemporal properties of sustained nonequilibrium systems such as fluids, plasmas, reacting and diffusing chemicals, crystals solidifying from a melt, heart muscle, and networks of excitable neurons in brains. This introductory textbook for graduate students in biology, chemistry, engineering, mathematics, and physics provides a systematic account of the basic science common to these diverse areas. This book provides a careful pedagogical motivation of key concepts, discusses why diverse nonequilibrium systems often show similar patterns and dynamics, and gives a balanced discussion of the role of experiments, simulation, and analytics. It contains numerous worked examples and over 150 exercises. This book will also interest scientists who want to learn about the experiments, simulations, and theory that explain how complex patterns form in sustained nonequilibrium systems.
Book Synopsis Mathematical Modelling in Plant Biology by : Richard J. Morris
Download or read book Mathematical Modelling in Plant Biology written by Richard J. Morris and published by Springer. This book was released on 2018-11-05 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: Progress in plant biology relies on the quantification, analysis and mathematical modeling of data over different time and length scales. This book describes common mathematical and computational approaches as well as some carefully chosen case studies that demonstrate the use of these techniques to solve problems at the forefront of plant biology. Each chapter is written by an expert in field with the goal of conveying concepts whilst at the same time providing sufficient background and links to available software for readers to rapidly build their own models and run their own simulations. This book is aimed at postgraduate students and researchers working the field of plant systems biology and synthetic biology, but will also be a useful reference for anyone wanting to get into quantitative plant biology.
Book Synopsis Thermodynamics and Pattern Formation in Biology by : Ingolf Lamprecht
Download or read book Thermodynamics and Pattern Formation in Biology written by Ingolf Lamprecht and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-07-08 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "Thermodynamics and Pattern Formation in Biology".
Book Synopsis New Trends in the Physics and Mechanics of Biological Systems by : Martine Ben Amar
Download or read book New Trends in the Physics and Mechanics of Biological Systems written by Martine Ben Amar and published by OUP Oxford. This book was released on 2011-05-26 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: In July 2009, many experts in the mathematical modelling of biological sciences gathered in Les Houches for a 4-week summer school on the mechanics and physics of biological systems. The goal of the school was to present to students and researchers an integrated view of new trends and challenges in physical and mathematical aspects of biomechanics. While the scope for such a topic is very wide, we focused on problems where solid and fluid mechanics play a central role. The school covered both the general mathematical theory of mechanical biology in the context of continuum mechanics but also the specific modelling of particular systems in the biology of the cell, plants, microbes, and in physiology. These lecture notes are organised (as was the school) around five different main topics all connected by the common theme of continuum modelling for biological systems: Bio-fluidics, Bio-gels, Bio-mechanics, Bio-membranes, and Morphogenesis. These notes are not meant as a journal review of the topic but rather as a gentle tutorial introduction to the readers who want to understand the basic problematic in modelling biological systems from a mechanics perspective.
Book Synopsis New Trends in the Physics and Mechanics of Biological Systems by : Alain Goriely
Download or read book New Trends in the Physics and Mechanics of Biological Systems written by Alain Goriely and published by Oxford University Press. This book was released on 2011-05-26 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: These lecture notes present the latest trends and challenges in the modelling of biological systems from a mechanics perspective. They cover both fluid and solid mechanics, the modelling of growth in biological systems, and present the application of physical methods for the modelling of systems in cellular biology, physiology, and morphogenesis.
Book Synopsis Pattern formation in biology by : Luis Diambra
Download or read book Pattern formation in biology written by Luis Diambra and published by Frontiers Media SA. This book was released on 2023-06-07 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Science written by Bertrand Zavidovique and published by World Scientific. This book was released on 2012 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book gathers articles that were exposed during the seventh edition of the Workshop ?Data Analysis in Astronomy?. It illustrates a current trend to search for common expressions or models transcending usual disciplines, possibly associated with some lack in the Mathematics required to model complex systems. In that, data analysis would be at the epicentre and a key facilitator of some current integrative phase of Science.It is all devoted to the question of ?representation in Science?, whence its name, IMAGe IN AcTION, and main thrusts Part A: Information: data organization and communication, Part B: System: structure and behaviour, Part C: Data ? System representation. Such a classification makes concepts as ?complexity? or ?dynamics? appear like transverse notions: a measure among others or a dimensional feature among others.Part A broadly discusses a dialogue between experiments and information, be information extracted-from or brought-to experiments. The concept is fundamental in statistics and tailors to the emergence of collective behaviours. Communication then asks for uncertainty considerations ? noise, indeterminacy or approximation ? and its wider impact on the couple perception-action. Clustering being all about uncertainty handling, data set representation appears not to be the only solution: Introducing hierarchies with adapted metrics, a priori pre-improving the data resolution are other methods in need of evaluation. The technology together with increasing semantics enables to involve synthetic data as simulation results for the multiplication of sources.Part B plays with another couple important for complex systems: state vs. transition. State-first descriptions would characterize physics, while transition-first would fit biology. That could stem from life producing dynamical systems in essence. Uncertainty joining causality here, geometry can bring answers: stable patterns in the state space involve constraints from some dynamics consistency. Stable patterns of activity characterize biological systems too. In the living world, the complexity ? i.e. a global measure on both states and transitions ? increases with consciousness: this might be a principle of evolution. Beside geometry or measures, operators and topology have supporters for reporting on dynamical systems. Eventually targeting universality, the category theory of topological thermodynamics is proposed as a foundation of dynamical system understanding.Part C details examples of actual data-system relations in regards to explicit applications and experiments. It shows how pure computer display and animation techniques link models and representations to ?reality? in some ?concrete? virtual, manner. Such techniques are inspired from artificial life, with no connection to physical, biological or physiological phenomena! The Virtual Observatory is the second illustration of the evidence that simulation helps Science not only in giving access to more flexible parameter variability, but also due to the associated data and method storing-capabilities. It fosters interoperability, statistics on bulky corpuses, efficient data mining possibly through the web etc. in short a reuse of resources in general, including novel ideas and competencies. Other examples deal more classically with inverse modelling and reconstruction, involving Bayesian techniques or chaos but also fractal and symmetry.
Book Synopsis Formal Descriptions of Developing Systems by : James Nation
Download or read book Formal Descriptions of Developing Systems written by James Nation and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: A cutting-edge survey of formal methods directed specifically at dealing with the deep mathematical problems engendered by the study of developing systems, in particular dealing with developing phase spaces, changing components, structures and functionalities, and the problem of emergence. Several papers deal with the modelling of particular experimental situations in population biology, economics and plant and muscle developments in addition to purely theoretical approaches. Novel approaches include differential inclusions and viability theory, growth tensors, archetypal dynamics, ensembles with variable structures, and complex system models. The papers represent the work of theoreticians and experimental biologists, psychologists and economists. The areas covered embrace complex systems, the development of artificial life, mathematics, computer science, biology and psychology.
Book Synopsis Pattern Formation in Morphogenesis by : Vincenzo Capasso
Download or read book Pattern Formation in Morphogenesis written by Vincenzo Capasso and published by Springer Science & Business Media. This book was released on 2012-10-02 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: Pattern Formation in Morphogenesis is a rich source of interesting and challenging mathematical problems. The volume aims at showing how a combination of new discoveries in developmental biology and associated modelling and computational techniques has stimulated or may stimulate relevant advances in the field. Finally it aims at facilitating the process of unfolding a mutual recognition between Biologists and Mathematicians of their complementary skills, to the point where the resulting synergy generates new and novel discoveries. It offers an interdisciplinary interaction space between biologists from embryology, genetics and molecular biology who present their own work in the perspective of the advancement of their specific fields, and mathematicians who propose solutions based on the knowledge grasped from biologists.
Download or read book Mathematical Reviews written by and published by . This book was released on 2007 with total page 884 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Aspects of Molecular Computing by : Thomas J. Head
Download or read book Aspects of Molecular Computing written by Thomas J. Head and published by Springer Science & Business Media. This book was released on 2004-02-20 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: Molecular computing is a rapidly growing subarea of natural computing. On the one hand, molecular computing is concerned with the use of bio-molecules for the purpose of actual computations while, on the other hand, it attempts to understand the computational nature of molecular processes going on in living cells. The book presents a unique and authorative state-of-the-art survey on current research in molecular computing: 30 papers by leading researchers in the area are drawn together on the occasion of the 70th birthday of Tom Head, a pioneer in molecular computing. Among the topics addressed are molecular tiling, DNA self-assembly, splicing systems, DNA-based cryptography, DNA word design, gene assembly, and membrane computing.
