Download or read book Efficient Computational Models for Pattern Formation in Fixed and Evolving Domains written by Peter Jeavons and published by . This book was released on 2014 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Reaction diffusion Systems on Evolving Domains with Applications to the Theory of Biological Pattern Formation written by Chandrasekhar Venkataraman and published by . This book was released on 2011 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: In this thesis we investigate a model for biological pattern formation during growth development. The pattern formation phenomenon is described by a reaction-diffusion system on a time-dependent domain. We prove the global existence of solutions to reaction-diffusion systems on time-dependent domains. We extend global existence results for a class of reaction-diffusion systems on fixed domains to the same systems posed on spatially linear isotropically evolving domains. We demonstrate that the analysis is applicable to many systems that commonly arise in the theory of pattern formation. Our results give a mathematical justification to the widespread use of computer simulations of reaction-diffusion systems on evolving domains. We propose a finite element method to approximate the solutions to reaction-diffusion systems on time-dependent domains. We prove optimal convergence rates for the error in the method and we derive a computable error estimator that provides an upper bound for the error in the semidiscrete (space) scheme. We have implemented the method in the C programming language and we verify our theoretical results with benchmark computations. The method is a robust tool for the study of biological pattern formation, as it is applicable to domains with irregular geometries and nonuniform evolution. This versatility is illustrated with extensive computer simulations of reaction-diffusion systems on evolving domains. We observe varied pattern transitions induced by domain evolution, such as stripe to spot transitions, spotsplitting, spot-merging and spot-annihilation. We also illustrate the striking effects of spatially nonuniform domain evolution on the position, orientation and symmetry of patterns generated by reaction-diffusion systems. To improve the efficiency of the method, we have implemented a space-time adaptive algorithm where spatial adaptivity is driven by an error estimator and temporal adaptivity is driven by an error indicator. We illustrate with numerical simulations the dramatic improvements in accuracy and efficiency that are achieved via adaptivity. To demonstrate the applicability and generality of our methodology, we examine the process of parr mark pattern formation during the early development of the Amago trout. By assuming the existence of chemical concentrations residing on the surface of the Amago fish which react and diffuse during surface evolution, we model the pattern formation process with reactiondiffusion systems posed on evolving surfaces. An important generalisation of our study is the experimentally driven modelling of the fish's developing body surface. Our results add weight to the feasibility of reaction-diffusion system models of fish skin patterning, by illustrating that a reaction-diffusion system posed on an evolving surface generates transient patterns consistent with those experimentally observed on the developing Amago trout. Furthermore, we conclude that the surface evolution profile, the surface geometry and the curvature are key factors which play a pivotal role in pattern formation via reaction-diffusion systems.
Download or read book Computational Modelling of the Brain written by Michele Giugliano and published by Springer Nature. This book was released on 2022-04-26 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume offers an up-to-date overview of essential concepts and modern approaches to computational modelling, including the use of experimental techniques related to or directly inspired by them. The book introduces, at increasing levels of complexity and with the non-specialist in mind, state-of-the-art topics ranging from single-cell and molecular descriptions to circuits and networks. Four major themes are covered, including subcellular modelling of ion channels and signalling pathways at the molecular level, single-cell modelling at different levels of spatial complexity, network modelling from local microcircuits to large-scale simulations of entire brain areas and practical examples. Each chapter presents a systematic overview of a specific topic and provides the reader with the fundamental tools needed to understand the computational modelling of neural dynamics. This book is aimed at experimenters and graduate students with little or no prior knowledge of modelling who are interested in learning about computational models from the single molecule to the inter-areal communication of brain structures. The book will appeal to computational neuroscientists, engineers, physicists and mathematicians interested in contributing to the field of neuroscience. Chapters 6, 10 and 11 are available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.
Download or read book Evo Devo of Color Pattern Formation written by Ricardo Mallarino and published by Frontiers Media SA. This book was released on 2021-11-01 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Computational Methods for Microstructure Property Relationships written by Somnath Ghosh and published by Springer Science & Business Media. This book was released on 2010-11-17 with total page 669 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Methods for Microstructure-Property Relationships introduces state-of-the-art advances in computational modeling approaches for materials structure-property relations. Written with an approach that recognizes the necessity of the engineering computational mechanics framework, this volume provides balanced treatment of heterogeneous materials structures within the microstructural and component scales. Encompassing both computational mechanics and computational materials science disciplines, this volume offers an analysis of the current techniques and selected topics important to industry researchers, such as deformation, creep and fatigue of primarily metallic materials. Researchers, engineers and professionals involved with predicting performance and failure of materials will find Computational Methods for Microstructure-Property Relationships a valuable reference.
Download or read book Evolutionary of Machine Learning Algorithms Applications written by Dr.B.Senthilkumaran and published by SK Research Group of Companies. This book was released on 2023-11-09 with total page 155 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dr.B.Senthilkumaran, Assistant Professor and Head & Research Advisor (BDU), PG & Research Department of Computer Science, Jairams Arts and Science College (Affiliated to Bharathidasan University) Karur, Tamil Nadu, India. Dr.R.Srinivasan, Associate Professor, Department of Computer Science, SLS MAVMM Ayira Vaisyar College, Madurai, Tamil Nadu, India. Prof.M.Kasi Mayan, Assistant Professor, Department of Mathematics, Saiva Bhanu Kshatriya College, Aruppukottai, Virudhunagar, Tamil Nadu, India. Dr.C.Govindasamy, Associate Professor, Department of Computer Science & Engineering, Saveetha School of Engineering - SIMATS, Chennai, Tamil Nadu, India. Dr.S.Rasheed Mansoor Ali, Assistant Professor, Department of Computer Applications, Jamal Mohamed College (Autonomous), Tiruchirappalli, Tamil Nadu, India.
Download or read book Proceedings of the 14th International Conference on Soft Computing and Pattern Recognition SoCPaR 2022 written by Ajith Abraham and published by Springer Nature. This book was released on 2023-03-27 with total page 931 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book highlights the recent research on soft computing, pattern recognition, nature-inspired computing, and their various practical applications. It presents 69 selected papers from the 14th International Conference on Soft Computing and Pattern Recognition (SoCPaR 2022) and 19 papers from the 14th World Congress on Nature and Biologically Inspired Computing (NaBIC 2022), which was held online, from December 14 to 16, 2022. A premier conference in the field of soft computing, artificial intelligence, and machine learning applications, SoCPaR-NaBIC 2022 brought together researchers, engineers, and practitioners whose work involves intelligent systems, network security, and their applications in industry. Including contributions by authors from over 25 countries, the book offers a valuable reference guide for all researchers, students, and practitioners in the fields of computer science and engineering.
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:
Download or read book Evolutionary Scheduling written by Keshav Dahal and published by Springer Science & Business Media. This book was released on 2007-02-15 with total page 631 pages. Available in PDF, EPUB and Kindle. Book excerpt: Evolutionary scheduling is a vital research domain at the interface of artificial intelligence and operational research. This edited book gives an overview of many of the current developments in the large and growing field of evolutionary scheduling. It demonstrates the applicability of evolutionary computational techniques to solve scheduling problems, not only to small-scale test problems, but also fully-fledged real-world problems.
Download or read book Mathematical Biology II written by James D. Murray and published by Springer Science & Business Media. This book was released on 2011-02-15 with total page 834 pages. Available in PDF, EPUB and Kindle. Book excerpt: This richly illustrated third edition provides a thorough training in practical mathematical biology and shows how exciting mathematical challenges can arise from a genuinely interdisciplinary involvement with the biosciences. It has been extensively updated and extended to cover much of the growth of mathematical biology. From the reviews: ""This book, a classical text in mathematical biology, cleverly combines mathematical tools with subject area sciences."--SHORT BOOK REVIEWS
Download or read book Mathematics and Computation written by Avi Wigderson and published by Princeton University Press. This book was released on 2019-10-29 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to computational complexity theory, its connections and interactions with mathematics, and its central role in the natural and social sciences, technology, and philosophy Mathematics and Computation provides a broad, conceptual overview of computational complexity theory—the mathematical study of efficient computation. With important practical applications to computer science and industry, computational complexity theory has evolved into a highly interdisciplinary field, with strong links to most mathematical areas and to a growing number of scientific endeavors. Avi Wigderson takes a sweeping survey of complexity theory, emphasizing the field’s insights and challenges. He explains the ideas and motivations leading to key models, notions, and results. In particular, he looks at algorithms and complexity, computations and proofs, randomness and interaction, quantum and arithmetic computation, and cryptography and learning, all as parts of a cohesive whole with numerous cross-influences. Wigderson illustrates the immense breadth of the field, its beauty and richness, and its diverse and growing interactions with other areas of mathematics. He ends with a comprehensive look at the theory of computation, its methodology and aspirations, and the unique and fundamental ways in which it has shaped and will further shape science, technology, and society. For further reading, an extensive bibliography is provided for all topics covered. Mathematics and Computation is useful for undergraduate and graduate students in mathematics, computer science, and related fields, as well as researchers and teachers in these fields. Many parts require little background, and serve as an invitation to newcomers seeking an introduction to the theory of computation. Comprehensive coverage of computational complexity theory, and beyond High-level, intuitive exposition, which brings conceptual clarity to this central and dynamic scientific discipline Historical accounts of the evolution and motivations of central concepts and models A broad view of the theory of computation's influence on science, technology, and society Extensive bibliography
Download or read book Dissertation Abstracts International written by and published by . This book was released on 2006 with total page 862 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Resource Discovery Navigability and Trust Management Techniques for IoT and SIoT written by Venugopal K R and published by CRC Press. This book was released on 2024-10-22 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: A ready reference for the next-generation discovery techniques, this book presents advanced research findings on resource discovery, network navigability, and trust management on the Internet of Things (IoT) and Social Internet of Things (SIoT) ecosystems. It discusses the benefits of integrating social networking concepts into the Internet of Things to find the preferable, reliable, scalable, and near-optimal detection of things or services. It explores the concepts of the Social Internet of Things in different domains of IoT, such as the Internet of Vehicles and the Industrial Internet of Things. This book works to recognize and respond to user queries and improve service provisioning, find the optimal solution for the link selection in the SIoT structure, develop large-scale platforms, and provide a smart mechanism for trust evaluation. · Covers the rapid advancements in low-cost sensor manufacturing, communication protocols, embedded systems, actuators, and hardware miniaturization that have contributed to the exponential growth of the IoT · Presents the fundamentals of a search system for sensor search and resource discovery in an IoT ecosystem · Includes the applicability of different search techniques across several application domains of the IoT under various use case scenarios · Discusses the thrust areas in SIoT (service discovery and composition, network navigability, relationship management, and trustworthiness management) and presents several prerequisites, challenges, and use case scenarios · Provides insights into current challenges in the domains of Internet of Things and Social Internet of Things This book will be helpful to researchers, scholars, and postgraduate students in Computer Science and Information Technology departments.
Download or read book Evolution as Computation written by Laura F. Landweber and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of the genetic basis for evolution has flourished in this century, as well as our understanding of the evolvability and programmability of biological systems. Genetic algorithms meanwhile grew out of the realization that a computer program could use the biologically-inspired processes of mutation, recombination, and selection to solve hard optimization problems. Genetic and evolutionary programming provide further approaches to a wide variety of computational problems. A synthesis of these experiences reveals fundamental insights into both the computational nature of biological evolution and processes of importance to computer science. Topics include biological models of nucleic acid information processing and genome evolution; molecules, cells, and metabolic circuits that compute logical relationships; the origin and evolution of the genetic code; and the interface with genetic algorithms and genetic and evolutionary programming.
Download or read book Oscillations in Neural Systems written by Daniel S. Levine and published by Psychology Press. This book was released on 1999-09 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written for those interested in designing machines to perform intelligent functions & those interested in studying how these functions are performed by living organisms,this bk dicusses the mathematical structure & functional significance of neural oscil
Download or read book Computational Complexity written by Sanjeev Arora and published by Cambridge University Press. This book was released on 2009-04-20 with total page 609 pages. Available in PDF, EPUB and Kindle. Book excerpt: New and classical results in computational complexity, including interactive proofs, PCP, derandomization, and quantum computation. Ideal for graduate students.
Download or read book River Coastal and Estuarine Morphodynamics written by Gary Parker and published by CRC Press. This book was released on 2005-09-29 with total page 1281 pages. Available in PDF, EPUB and Kindle. Book excerpt: The proceedings of the 4th Symposium on River, Coastal and Estuarine Morphodynamics offers the latest research results concerning quantitative modelling of the interaction of water and sediment and the shapes this interaction makes in rivers, watersheds, estuaries, the coast, the continental shelf and the deep sea. Morphodynamics is the study of the evolution of landscape and seascape features, from small scale to large.
