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Waves in Nonlinear Pre-Stressed Materials
The papers in this book provide a unique state-of-the-art multidisciplinary overview on the subject of waves in pre-stressed materials through the interaction of several topics, ranging from the mathematical modelling of incremental material response (elastic and inelastic), to the analysis of the governing differential equations and boundary-value problems, and to computational methods for the solution to these problems, with particular reference to industrial, geophysical, and biomechanical applications. A complete view on the title subject is proposed, including: The basic and fundamental theoretical issues (mechanical modelling, exact solutions, asymptotic methods, numerical treatment); A unified introduction to wave propagation (small on large and large on large); A look toward classical (such as geophysics and the mechanics of rubber-like solids) and emergent (such as biomechanics) applications.
Vortices in Bose-Einstein Condensates
This book provides an up-to-date approach to the diagnosis and management of endocarditis based on a critical analysis of the recent studies. The book is structured in a format that is easy to follow, clinically relevant and evidence based.
Views on Microstructures in Granular Materials
This volume provides overview of the mechanics of granular materials, ranging from sparse media to soils. With chapters exploring state-of-the-art theoretical, experimental, and applied trends in the study of granular matter in various states, readers will be motivated to learn about the current challenges and potential avenues of exploration in this active area of research. Including a variety of perspectives, this volume will be a valuable reference for audiences in a number of fields.
Vibration Testing and Applications in System Identification of Civil Engineering Structures
Covers vibration testing and identification of dynamic structural systems. It starts from the fundamentals of structural dynamics, and covers the methods of modal analysis and model identification, vibration tests and the related experimental setup. Theory is presented and derived step-by-step, with a detailed measurement system developed for vibration tests.
Vehicle Propulsion Systems : Introduction to Modeling and Optimization ; 1st ed.
Automobiles are responsible for a substantial part of the world's consumption of primary energy, mostly fossil liquid hydrocarbons. The reduction of the fuel consumption of these vehicles has become a top priority. Many ideas to reach that objective have been presented. In most cases these systems are more complex than the traditional approaches. For such complex systems a heuristic design approach fails. The only way to deal with this situation is to employ model-based methods. This text provides an introduction to the mathematical modeling and subsequent optimization of vehicle propulsion systems and their supervisory control algorithms.
Vehicle Propulsion Systems : Introduction to Modeling and Optimization ; 2nd ed.
Automobiles are responsible for a substantial part of the world's consumption of primary energy, mostly fossil liquid hydrocarbons. The reduction of the fuel consumption of these vehicles has become a top priority. Many ideas to reach that objective have been presented. In most cases these systems are more complex than the traditional approaches. For such complex systems a heuristic design approach fails. The only way to deal with this situation is to employ model-based methods. This text provides an introduction to the mathematical modeling and subsequent optimization of vehicle propulsion systems and their supervisory control algorithms.
Vasculogenic mimicry : Methods and protocols
Provides detailed protocols for the identification and understanding of vasculogenic mimicry process in vitro and in vivo, in addition to protocols for microscopy and histology. Chapters guide readers through different materials, commercial and homemade scaffolds, Matrigel, cancer spheroids, 3D tissue constructs, vasculogenic processes, and mathematical model building.
Variational and Quasi-Variational Inequalities in Mechanics
The variational method is a powerful tool to investigate states and processes in technical devices, nature, living organisms, systems, and economics. The power of the variational method consists in the fact that many of its sta- ments are physical or natural laws themselves. The essence of the variational approach for the solution of problems rel- ing to the determination of the real state of systems or processes consists in the comparison of close states. The selection criteria for the actual statesmust be such that all the equations and conditions of the mathematical model are satis?ed. Historically, the first variational theory was the Lagrange theory created to investigate the equilibrium of finite-dimensional mechanical systems under holonomic bilateral constraints (bonds). The selection criterion proposed by Lagrange is the admissible displacement principle.
Underwater Robots : Motion and Force Control of Vehicle-Manipulator Systems
Deals with the main control aspects in underwater manipulation tasks. The mathematical model with significant impact on the control strategy is discussed.
Tutorials in Mathematical Biosciences III : Cell Cycle, Proliferation, and Cancer
This volume introduces some basic mathematical models for cell cycle, proliferation, cancer, and cancer therapy.
Tutorials in Mathematical Biosciences II : Mathematical Modeling of Calcium Dynamics and Signal Transduction
This book presents a series of models in the general area of cell physiology and signal transduction, with particular attention being paid to intracellular calcium dynamics, and the role played by calcium in a variety of cell types. this book also presents much of the underlying physiology, so that readers may learn both the mathematics and the physiology at the same time, and see how the models are applied to specific biological questions.
Traditions in German-Speaking Mathematics Education Research
This book includes a short survey of the development of educational research on mathematics in German speaking countries, subject-matter didactics, design science and design research, modelling, mathematics and Bildung 1810 to 1850, Allgemeinbildung, Mathematical Literacy, and Competence Orientation, theory traditions, classroom studies, educational research and large-scale studies. During the time span presented here, profound changes took place in German-speaking mathematics education research. Besides the traditional fields of activity like subject-matter didactics or design science, completely new areas also emerged, which are characterized by various empirical approaches and a closer connection to psychology, sociology, epistemology and general education research.
Topological Data Analysis for Genomics and Evolution : Topology in Biology
Biology has entered the age of Big Data. A technical revolution has transformed the field, and extracting meaningful information from large biological data sets is now a central methodological challenge. Algebraic topology is a well-established branch of pure mathematics that studies qualitative descriptors of the shape of geometric objects. It aims to reduce comparisons of shape to a comparison of algebraic invariants, such as numbers, which are typically easier to work with. Topological data analysis is a rapidly developing subfield that leverages the tools of algebraic topology to provide robust multiscale analysis of data sets. This book introduces the central ideas and techniques of topological data analysis and its specific applications to biology, including the evolution of viruses, bacteria and humans, genomics of cancer, and single cell characterization of developmental processes.
Thermodynamic equilibria and extrema : Analysis of attainability regions and partial equilibrium
Discusses mathematical models that are based on the concepts of classical equilibrium thermodynamics. They are intended for the analysis of possible results of diverse natural and production processes. Unlike the traditional models, these allow one to view the achievable set of partial equilibria with regards to constraints on kinetics, energy and mass exchange and to determine states of the studied systems of interest for the researcher. Application of the suggested models in chemical technology, energy and ecology is illustrated in the examples.
The Drift of Sea Ice
Presents in The Drift of Sea Ice the fundamental laws of sea ice drift which come from the material properties of sea ice and the basic laws of mechanics. The resulting system of equations is analysed for the general properties of sea ice drift, the free drift model and analytical models for ice drift in the presence of internal friction, and the construction of numerical ice drift models is detailed. The science of sea ice drift through its 100-year history to the present day is explained. The text includes the geophysical theory, observations from field programs, and mathematical models. Topics covered include the science of sea ice drift, forecasting drift velocity based on volume, size and shape, sea ice ridging and remote sensing, modelling of the ice conditions, and finally the role of sea ice drift in research fields in ice-covered seas, oceanography, marine ecology and engineering.
The Coupling of Climate and Economic Dynamics : Essays on Integrated Assessment
Deals with various aspects of the building of integrated assessment models, either by coupling economic growth and climate change modules, or using mathematical models of viability or dynamic game theory to represent the interactions between the world regions concerned. This book is the result of several years of joint research in an interdisciplinary project on the human dimension of climate change. It proposes innovative ways to include climate simulation modules in optimal economic growth models; it explores the possible use of computable general economic equilibrium models coupled with paradigms of game theory to assess the dividends of cooperation in climate policies; it reports on the building of multi-region dynamic energy-technology-environment models to assess the possible response of the world energy system to a global cap on GHG emissions, and it shows how to model the impacts of climate change at a regional level.
Teaching and learning mathematical modelling : Approaches and developments from German speaking countries
Provides an overview of the German discussion on modelling and applications in schools. It considers the development from the beginning of the 20th century to the present, and discusses the term “mathematical model” as well as different representations of the modelling process as modelling cycles. Different trends in the historical and current debate on applications and modelling can be differentiated as perspectives of modelling. Modelling is now one of the six general mathematical competencies defined in the educational standards for mathematics introduced in Germany in 2003, and there have been several initiatives to implement modelling in schools, as well as a whole range of empirical research projects focusing on teachers or students in modelling processes. As a special kind for implementing modelling into school, modelling weeks and days carried out by various German universities have been established.
Systems Biology Vol.13): Definitions and Perspectives
For life to be understood and disease to become manageable, the wealth of postgenomic data now needs to be made dynamic. This development requires systems biology, integrating computational models for cells and organisms in health and disease; quantitative experiments (high-throughput, genome-wide, living cell, in silico); and new concepts and principles concerning interactions. This book defines the new field of systems biology and discusses the most efficient experimental and computational strategies. The benefits for industry, such as the new network-based drug-target design validation, and testing, are also presented.
Systems Biology : International Research and Development
Systems biology is defined for the purpose of this study as the understanding of biological network behaviors, and in particular their dynamic aspects, which requires the utilization of mathematical modeling tightly linked to experiment. This involves a variety of approaches, such as the identification and validation of networks, the creation of appropriate datasets, the development of tools for data acquisition and software development, and the use of modeling and simulation software in close linkage with experiment. All of these are discussed in this volume. Of course, the definition becomes ambiguous at the margins, but at the core is the focus on networks, which makes it clear that the goal is to understand the operation of the systems, rather than the component parts.
Systems Analysis for Water Technology
Presents in a concise format the methods used to develop mathematical models for water and wastewater treatment. It provides a systematic approach to mass balances, transport and transformation processes, kinetics, stoichiometry, reactor hydraulics, residence time distribution, heterogeneous systems, and the dynamic behaviour of reactors.
