Page 2
Page 2
Modeling of Soft Matter
Soft matter plays a role in a wide variety of important processes and application. For example, gel swelling and dynamics are an essential part of many biological and individual processes, such as motility mechanisms in bacteria and the transport and absorption of drugs. Ferroelectrics, liquid crystals, and elastomers are being used to design ever faster switching devices. Experimental studies, such as scattering, optical and electron microscopy, have provided a great deal of detailed information on structures. But the integration of mathematical modeling and analysis with experimental approaches promises to greatly increase our understanding of structure-property relationships and constitutive equations. The workshop on Modeling of Soft Matter has taken such an integrated approach.
Modeling of metal forming and machining processes : By finite element and soft computing methods
The physics of metal forming and metal removing is normally expressed using non-linear partial differential equations which can be solved using the finite element method (FEM). However, when the process parameters are uncertain and/or the physics of the process is not well understood, soft computing techniques can be used with FEM or alone to model the process.
Modeling of Biological Materials
This interdisciplinary collection of surveys highlights the central role played by the mathematical modeling of mechanical properties having an effect on the biology, chemistry, and physics of living matter. One of the main goals of the book is to present—in a single, self-contained resource—topics that are widely scattered across the literature in a variety of journals having mutually nonintersecting communities of readers, such as applied mathematicians, engineers, biologists, and physicians. Readers coming from diverse backgrounds are provided with basic modeling ideas and tools to address important problems in the medical and health sciences. Presented are appropriate models as well as their implementation through numerical and computer simulations, which may lead to potential technological innovations useful in medicine.
Modeling Excitable Tissue : The EMI Framework
This volume presents a novel computational framework for understanding how collections of excitable cells work. The key approach in the text is to model excitable tissue by representing the individual cells constituting the tissue. This is in stark contrast to the common approach where homogenization is used to develop models where the cells are not explicitly present. The approach allows for very detailed analysis of small collections of excitable cells, but computational challenges limit the applicability in the presence of large collections of cells.
Modeling Complex Living Systems : A Kinetic Theory and Stochastic Game Approach
Using tools from mathematical kinetic theory and stochastic game theory, this work deals with the modeling of large complex systems in the applied sciences, particularly those comprised of several interacting individuals whose dynamics follow rules determined by some organized, or even "intelligent" ability. Traditionally, methods of mathematical kinetic theory have been applied to model the evolution of large systems of interacting classical or quantum particles. This book, on the other hand, examines the modeling of living systems as opposed to inert systems.
Model-based Process Supervision : A Bond Graph Approach
Model-based fault detection and isolation requires a mathematical model of the system behaviour. Modelling is important and can be difficult because of the complexity of the monitored system and its control architecture. The authors use bond-graph modelling, a unified multi-energy domain modelling method, to build dynamic models of process engineering systems by composing hierarchically arranged sub-models of various commonly encountered process engineering devices. The structural and causal properties of bond-graph models are exploited for supervisory systems design.
Model-based Fault Diagnosis Techniques : Design Schemes, Algorithms, and Tools
The objective of this book is to introduce basic model-based FDI schemes, advanced analysis and design algorithms and the needed mathematical and control theory tools at a level for graduate students and researchers as well as for engineers.
Model and Mathematics : From the 19th to the 21st Century
This book collects the historical and medial perspectives of a systematic and epistemological analysis of the complicated, multifaceted relationship between model and mathematics, ranging from, for example, the physical mathematical models of the 19th century to the simulation and digital modelling of the 21st century. The aim of this anthology is to showcase the status of the mathematical model between abstraction and realization, presentation and representation, what is modeled and what models.
Mixture Formation in Internal Combustion Engines
This book covers the various approaches to modelling and optimising the spray and mixture formation processes in modern internal combustion engines. Due to their complexity and importance in predicting the temporal and spatial distribution of liquid and gaseous fuel inside the cylinder, special emphasis is put on the detailed description of multi-dimensional CFD-models. The book describes and discusses the most widely used mathematical models for in-cylinder spray and mixture formation processes.
Metakaolin and Fly Ash as Mineral Admixtures for Concrete
Deals with modern theoretical concepts related to the impact of fly ash and metakaolin admixtures on structure formation processes of concrete. Results of the effect of fly ash, metakaolin and their composition on properties of self-compacting and self-leveling concrete are presented. Based on mathematical models, obtained using mathematical experiments planning methodology, the impact of the main factors and their combination on workability, strength and other properties that determine efficiency and durability of concrete are analyzed. Using calculated dependencies, a methodology for designing optimal compositions of concrete containing active mineral admixtures and superplasticizers is proposed. Features of industrial production of concrete for the proposed compositions are discussed. The book is intended for specialists working in the production of concrete and reinforced concrete products and elements. It can also be used by construction engineers to design compositions of cost-effective self-compacting and self-leveling concrete as well as to determine the rational direction of using technogenic raw materials like ash and metakaolin.
Mechanics and Physics of Fracture : Multiscale Modeling of the Failure Behavior of Solids
Provides a comprehensive understanding of the macroscopic failure behavior of solids from the description of the microscopic failure processes and their coupling with the microstructure. Several fundamental questions were addressed: the relation between the microstructural features of materials and their fracture properties and crack trajectories; the role of damage mechanisms and non-linear deformations near the crack tip on the failure behavior of solids; and finally the role of dynamic inertial effects during fast fracture was more briefly evoked.
Mechanical Sytems, Classical Models ; Vol. I : Particle Mechanics
The guideline of the present book is precisely the mathematical model of mechanics. A special accent is put on the solving methodology as well as on the mathematical tools used; vectors, tensors and notions of field theory. Continuous and discontinuous phenomena, various mechanical magnitudes are presented in a unitary form by means of the theory of distributions.
Mechanical Behavior of Materials : Fundamentals, Analysis, and Calculations
Provides a holistic understanding of mechanical behavior of materials, and enables critical thinking through mathematical modeling and problem solving.Each of the 15 chapters first introduces readers to the technologic importance of the topic and provides basic concepts with diagrammatic illustrations; and then its engineering analysis/mathematical modelling along with calculations are presented.
Meccanica delle strutture e Controllo attivo strutturale: Modellistica di edifici, ponti, camini, strutture speciali
The basic texts of Structural Engineering, present in the literature, mostly give introductory examples. This text, however, after having given the disciplinary foundations, goes further to guide the reader in the construction of advanced mathematical models ... It is an unprecedented "compromise" between basic theory text and advanced text for advanced-professionals and researchers. Furthermore, the presence in the volume of "synoptic panels" and software cards gives the reader the possibility of always having at hand the foundations of a complex discipline.
Measuring Professional Competence for the Teaching of Mathematical Modelling : A Test Instrument
This book presents a structural model and an associated test instrument designed to provide a detailed analysis of professional competences for teaching mathematical modelling. The conceptualisation is based on the COACTIV model, which describes aspects, areas and facets of professional competences of teachers. The manual provides an overview of the essential teaching skills in application-related contexts and offers the tools needed to capture these aspects. It discusses the objectives and application areas of the instrument, as well as the development of the test. In addition, it describes the implementation and evaluates the quality and results of the structural equation analysis of the model.
Mathematics for Life Science and Medicine
Dynamical systems theory in mathematical biology has attracted much attention from many scientific directions. The purpose of this volume is to present and discuss the many rich properties of the dynamical systems that appear in life science and medicine. The main topics include cancer treatment, dynamics of paroxysmal tachycardia, vector disease models, epidemic diseases and metapopulations, immune systems, pathogen competition and coexistence and the evolution of virulence and the rapid evolution of viruses within a host. Each chapter will serve to introduce students and scholars to the state-of-the-art in an exciting area, to present new results, and to inspire future contributions to mathematical modeling in life science and medicine.
Mathematics for Ecology and Environmental Sciences
Dynamical systems theory in mathematical biology has attracted much attention from many scientific directions. The purpose of this volume is to discuss the many rich and interesting properties of dynamical systems that appear in ecology and environmental sciences. The main topics include population dynamics with dispersal, nonlinear discrete population dynamics, structured population models, mathematical models in evolutionary ecology, stochastic spatial models in ecology, game dynamics and the chemostat model. Each chapter will serve to introduce students and scholars to the state-of-the-art in an exciting area, to present important new results, and to inspire future contributions to mathematical modeling in ecology and environmental sciences.
Mathematics and Technology
Mathematics and Technology presents technological applications of mathematics making use of elegant mathematical concepts. The selected subjects consist of: public key cryptography, error correcting codes, the global positioning system (GPS) and cartography, image compression using fractals and the JPEG format, digital recording, robot movement, DNA computing, Google's PageRank algorithm, savings and loans, gamma ray surgery and random number generators. The authors highlight how mathematical modeling, together with the power of mathematical tools, have been crucial for innovation in technology. The exposition is clear, straightforward, motivated by excellent examples, and user-friendly. Numerous exercises at the end of every chapter reinforce the material. An engaging quality is the various historical notes accompanying the mathematical development.
Mathematics - Key Technology for the Future : Joint Projects Between Universities and Industry 2004–2007
This book is about the results of a number of projects funded by the BMBF in the initiative "Mathematics for Innovations in Industry and Services". It shows that a broad spectrum of analytical and numerical mathematical methods and programming techniques are used to solve a lot of different specific industrial or services problems. The main focus is on the fact that the mathematics used is not usually standard mathematics or black box mathematics but is specifically developed for specific industrial or services problems. Mathematics is more than a tool box or an ancilarry science for other scientific disciplines or users. Through this book the reader will gain insight into the details of mathematical modeling and numerical simulation for a lot of industrial applications.
Mathematical Models of Granular Matter
Granular matter displays a variety of peculiarities that distinguish it from other appearances studied in condensed matter physics and renders its overall mathematical modelling somewhat arduous. Prominent directions in the modelling granular flows are analyzed from various points of view. Foundational issues, numerical schemes and experimental results are discussed. The volume furnishes a rather complete overview of the current research trends in the mechanics of granular matter. Various chapters introduce the reader to different points of view and related techniques. New models describing granular bodies as complex bodies are presented. Results on the analysis of the inelastic Boltzmann equations are collected in different chapters. Gallavotti-Cohen symmetry is also discussed.
