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Modeling in the Neurosciences: From Biological Systems to Neuromimetic Robotics
by R. R. Poznanski G. N. Reeke K. A. Lindsay J. R. Rosenberg O. SpornsComputational models of neural networks have proven insufficient to accurately model brain function, mainly as a result of simplifications that ignore the physical reality of neuronal structure in favor of mathematically tractable algorithms and rules. Even the more biologically based "integrate and fire" and "compartmental" styles of modeling suff
Modeling of Archaeomagnetic Anomaly Maps (SpringerBriefs in Applied Sciences and Technology)
by Hazel Deniz ToktayThis book deals with magnetic anomaly maps and their properties. These properties are essential to modeling the elimination of the uncertainty problem of buried archaeological structure locations and depths. To this end, several models are presented and their quantitative properties are studied. Numerical simulations have been created, confirming theoretical results that were obtained.
Modeling of Combustion Systems: A Practical Approach
by Joseph ColanninoModeling of Combustion Systems provides accessible instruction for the operator or engineer to model combustion responses such as NOx, CO, flame dimensions, or heat flux as a function of input factors, such as excess oxygen, firing rate, furnace temperature, and fuel type.Retaining the emphasis on practical semiempirical modeling of boilers, process heaters, and reactors, such as ethylene cracking units and ammonia and hydrogen reformers, the second edition expands the approach to include combustion air fans and representation of complex models (direct numerical simulations or computational fluid dynamics) in concise forms. It also shows how to design experiments to collect the most data with the fewest experiments and model real unit behavior with engineering accuracy.This book is intended for technicians, operators, and engineers working with fired equipment such as boilers, reactors, and process heaters.It includes 65 fully worked examples in MS Excel with detailed instructions. All example spreadsheets are available for download from the publisher’s website
Modeling of Curves and Surfaces with MATLAB®
by Vladimir RovenskiThis text on geometry is devoted to various central geometrical topics including: graphs of functions, transformations, (non-)Euclidean geometries, curves and surfaces as well as their applications in a variety of disciplines. This book presents elementary methods for analytical modeling and demonstrates the potential for symbolic computational tools to support the development of analytical solutions. The author systematically examines several powerful tools of MATLAB® including 2D and 3D animation of geometric images with shadows and colors and transformations using matrices. With over 150 stimulating exercises and problems, this text integrates traditional differential and non-Euclidean geometries with more current computer systems in a practical and user-friendly format. This text is an excellent classroom resource or self-study reference for undergraduate students in a variety of disciplines.
Modeling of Discrete and Continuous Systems: Ordinary, Partial and Fractional Derivatives (Forum for Interdisciplinary Mathematics)
by Mohamed Kharrat Moez Krichen Nouressadat TouafekThis book contains a comprehensive collection of chapters on recent and original research, along with review articles, on mathematical modeling of dynamical systems described by various types of differential equations. Structured into 18 chapters dedicated to exploring different aspects of differential equations and their applications in modeling both discrete and continuous systems, it highlights theoretical advancements in mathematics and their practical applications in modeling dynamic systems. Readers will find contributions by renowned scholars who delve into the intricacies of nonlinear dynamics, stochastic processes, and partial differential equations. This book is an essential resource for researchers, academicians, and practitioners in the field of mathematical modeling.
Modeling of Next Generation Digital Learning Environments: Complex Systems Theory
by Marc TrestiniThe emergence of social networks, OpenCourseWare, Massive Open Online Courses, informal remote learning and connectivist approaches to learning has made the analysis and evaluation of Digital Learning Environments more complex. Modeling these complex systems makes it possible to transcribe the phenomena observed and facilitates the study of these processes with the aid of specific tools. Once this essential step is taken, it then becomes possible to develop plausible scenarios from the observation of emerging phenomena and dominant trends. This book highlights the contribution of complex systems theory in the study of next generation Digital Learning Environments. It describes a realistic approach and proposes a range of effective management tools to achieve it.
Modeling of Physiological Flows
by Gianluigi Rozza Alfio Quarteroni Davide AmbrosiThis book offers a mathematical update of the state of the art of the research in the field of mathematical and numerical models of the circulatory system. It is structured into different chapters, written by outstanding experts in the field. Many fundamental issues are considered, such as: the mathematical representation of vascular geometries extracted from medical images, modelling blood rheology and the complex multilayer structure of the vascular tissue, and its possible pathologies, the mechanical and chemical interaction between blood and vascular walls, and the different scales coupling local and systemic dynamics. All of these topics introduce challenging mathematical and numerical problems, demanding for advanced analysis and efficient simulation techniques, and pay constant attention to applications of relevant clinical interest. This book is addressed to graduate students and researchers in the field of bioengineering, applied mathematics and medicine, wishing to engage themselves in the fascinating task of modeling the cardiovascular system or, more broadly, physiological flows.
Modeling of Road Traffic Events
by Jerzy Kisilowski Jarosław ZalewskiThis books reviews and brings readers up to date with the latest research knowledge on road traffic safety.It describes and discusses mathematical descriptions of the process of a motor vehicle crash and indicates the various factors that impact on collision models. It tackles also vehicle stability and shows how the forces generated in crashes result in different extents of post-accident repair. Mathematical models that simulate vehicle stability data are compared with those of real vehicles. Practical uses of the models are explained to readers.The book will be of interest to researchers in transport and vehicle technology well as automotive industry professionals.
Modeling of Transportation Aviation Processes (Springer Aerospace Technology)
by Anatoly Ivanovich Kozlov Yuri Grigoryevich Shatrakov Oleg Ivanovich Sauta Georgy Alekseevich Kryzhanovsky Ivan Nikolaevich ShestakovThis book presents the fundamental methods of modeling, analysis and synthesis of transport processes which allow: - to optimize the work of transport organizations according to different criteria of their functioning; - to evaluate the quality of decisions made in conditions of high entropy and uncertainty of technological processes when applying new technologies and systems; -to reduce the negative impact of the human factor on the safety of ongoing transport processes by increasing the motivational component of the training processes for the operator of active transport systems. The structural diagrams presented in this book make it possible to visualize the processes of training, self-training of operators and the mechanisms of the formation of volitional motivational efforts under various external influences of the environment and the teacher–instructor. The obtained functional dependencies serve as an assessment for determining and forming the dynamics of motivation and making a decision about the readiness for safe work of the operator of active transport systems and the decision-maker in the new conditions of the technological process.
Modeling the Interplay Between Human Behavior and the Spread of Infectious Diseases
by Alberto D'Onofrio Piero ManfrediThis volume summarizes the state-of-the-art in the fast growing research area of modeling the influence of information-driven human behavior on the spread and control of infectious diseases. In particular, it features the two main and inter-related "core" topics: behavioral changes in response to global threats, for example, pandemic influenza, and the pseudo-rational opposition to vaccines. In order to make realistic predictions, modelers need to go beyond classical mathematical epidemiology to take these dynamic effects into account. With contributions from experts in this field, the book fills a void in the literature. It goes beyond classical texts, yet preserves the rationale of many of them by sticking to the underlying biology without compromising on scientific rigor. Epidemiologists, theoretical biologists, biophysicists, applied mathematicians, and PhD students will benefit from this book. However, it is also written for Public Health professionals interested in understanding models, and to advanced undergraduate students, since it only requires a working knowledge of mathematical epidemiology.
Modeling to Inform Infectious Disease Control
by Niels G. BeckerEffectively Assess Intervention Options for Controlling Infectious DiseasesOur experiences with the human immunodeficiency virus (HIV), severe acute respiratory syndrome (SARS), and Ebola virus disease (EVD) remind us of the continuing need to be vigilant against the emergence of new infectious diseases. Mathematical modeling is increasingly used i
Modeling with Mathematics: A Bridge to Algebra II
by Sharon Benson Roland Cheyney David Eschberger Jo Ann WheelerAn innovative course that offers students an exciting new perspective on mathematics,Modeling With Mathematicsexplores how mathematics can help explore problems real people encounter in their jobs and lives. Mathematical modeling and a data-driven approach to exploring functions helps students deepen their mathematical skills and maturity. Modeling With Mathematics: A Bridge To Algebra IIhas been designed for students who have completed Algebra I or Algebra I and Geometry but need review practice and motivation to succeed in Algebra II. In addition the course gives students a look ahead to many Algebra II topics. Modeling With Mathematics: A Bridge To Algebra II list serv http://www. whfreeman. com/bridgelistserv. pdf As a service to instructors usingModeling With Mathematics: A Bridge To Algebra II, a listserv has been designed as a forum to share ideas, ask questions and learn new ways to enhance the learning experience for their students.
Modeling with Mathematics: A Bridge to Algebra II
by Sharon Benson Roland Cheyney David Eschberger Jo Ann WheelerAn innovative course that offers students an exciting new perspective on mathematics, Modeling With Mathematics explores how mathematics can help explore problems real people encounter in their jobs and lives. Mathematical modeling and a data-driven approach to exploring functions helps students deepen their mathematical skills and maturity. Modeling With Mathematics: A Bridge To Algebra II has been designed for students who have completed Algebra I or Algebra I and Geometry but need review practice and motivation to succeed in Algebra II.
Modeling with Mathematics: A Bridge to Algebra II
by Nancy Crisler Gary SimundzaWith the emphasis the Common Core State Standards (CCSS) places on modeling, Modeling With Mathematics: A Bridge to Algebra II (Bridge 2e) addresses these modeling requirements while helping prepare students for success in Algebra II. Intended for students who have taken Algebra I and Geometry but who are not yet ready for Algebra II, this program helps solidify their understanding by providing a different kind of learning experience. With Bridge 2e students model real-world applications with a functions approach netting a deeper grasp of the important concepts necessary for success in Algebra II and on the forthcoming Common Core assessments.
Modeling with Nonsmooth Dynamics (Frontiers in Applied Dynamical Systems: Reviews and Tutorials #7)
by Mike R. JeffreyThis volume looks at the study of dynamical systems with discontinuities. Discontinuities arise when systems are subject to switches, decisions, or other abrupt changes in their underlying properties that require a ‘non-smooth’ definition. A review of current ideas and introduction to key methods is given, with a view to opening discussion of a major open problem in our fundamental understanding of what nonsmooth models are. What does a nonsmooth model represent: an approximation, a toy model, a sophisticated qualitative capturing of empirical law, or a mere abstraction? Tackling this question means confronting rarely discussed indeterminacies and ambiguities in how we define, simulate, and solve nonsmooth models. The author illustrates these with simple examples based on genetic regulation and investment games, and proposes precise mathematical tools to tackle them.The volume is aimed at students and researchers who have some experience of dynamical systems, whether as a modelling tool or studying theoretically. Pointing to a range of theoretical and applied literature, the author introduces the key ideas needed to tackle nonsmooth models, but also shows the gaps in understanding that all researchers should be bearing in mind.Mike Jeffrey is a researcher and lecturer at the University of Bristol with a background in mathematical physics, specializing in dynamics, singularities, and asymptotics.
Modeling with Stochastic Programming (Springer Series in Operations Research and Financial Engineering)
by Alan J. King Stein W. WallaceThis is an updated version of what is still the only text to address basic questions about how to model uncertainty in mathematical programming, including how to reformulate a deterministic model so that it can be analyzed in a stochastic setting. This second edition has important extensions regarding how to represent random phenomena in the models (also called scenario generation) as well as a new chapter on multi-stage models. This text would be suitable as a stand-alone or supplement for a second course in OR/MS or in optimization-oriented engineering disciplines where the instructor wants to explain where models come from and what the fundamental modeling issues are. The book is easy-to-read, highly illustrated with lots of examples and discussions. It will be suitable for graduate students and researchers working in operations research, mathematics, engineering and related departments where there is interest in learning how to model uncertainty. Alan King is a Research Staff Member at IBM's Thomas J. Watson Research Center in New York. Stein W. Wallace is a Professor of Operational Research and head of Center for Shipping and Logistics at NHH Norwegian School of Economics, Bergen, Norway.
Modeling, Analysis and Simulations of Multiscale Transport Phenomena: ICMASMTP 2022, Kharagpur, India, August 25–27 (Springer Proceedings in Mathematics & Statistics #491)
by Somnath Bhattacharyya Hari Shankar MahatoThis volume contains selected chapters on topics presented at the International Conference on Modeling, Analysis and Simulations of Multiscale Transport Phenomena (ICMASMTP 2022), held at the Department of Mathematics, Indian Institute of Technology Kharagpur, West Bengal, India, from 22–25 August 2022. It contains chapters on applications of FLOW THROUGH POROUS MEDIA, diffusion–reaction equations, fluid dynamics, multi-scale analysis, electrokinetic transport processes, microfluidics modelling, numerical analysis, and related topics. Contributors are academicians, experts and researchers in various disciplines of applied mathematics, numerical analysis and scientific computation, having applications in physics, engineering, chemistry, biology and medical science.
Modeling, Analysis, Control and Removal of Oil and Hydrocarbon Spills (Earth and Environmental Sciences Library)
by Tatiana ChaplinaA large number of scientific works are devoted to the study and modeling of accidental oil spills. However, there is no single approach to the description of processes and a generally accepted system of models. An additional fundamental difficulty is the impossibility of conducting full-fledged full-scale experimental studies, which makes it difficult to verify the adequacy and accuracy of oil spill models. Our book is devoted to the problems of experimental investigation and theoretical description of spills, as well as the practical removal of various petroleum products from the water surface and ice. It provides an overview of the most well-known theoretical models of the process of spreading oil stains on the water surface. Also, in the relevant sections, an original spreading model based on an energy approach is proposed and analyzed. The results of new experimental studies of the dynamics of the process for various hydrocarbons on water, including variations in its temperatureand salinity, are presented. In the following chapters, a theoretical description of oil spreading on the upper and lower surfaces of floating ice is proposed, modeling phenomena in the Arctic and subarctic zones of the world ocean. New experimental data on the spreading of petroleum products on the ice surface are presented. The final part provides a brief overview of the existing most used and promising methods for removing of hydrocarbons from the water surface. New original constructive solutions to this problem are proposed, the technical characteristics of which have received theoretical justification and experimental confirmation.
Modeling, Dynamics, Optimization and Bioeconomics III: Contributions From Dgs Iii And The 7th Bioeconomy Conference 2014 (Springer Proceedings in Mathematics & Statistics #195)
by David Zilberman Alberto A. PintoThe research and review papers presented in this volume provide an overview of the main issues, findings, and open questions in cutting-edge research on the fields of modeling, optimization and dynamics and their applications to biology, economics, energy, finance, industry, physics and psychology. Given the scientific relevance of the innovative applications and emerging issues they address, the contributions to this volume, written by some of the world’s leading experts in mathematics, economics and other applied sciences, will be seminal to future research developments and will spark future works and collaborations. The majority of the papers presented in this volume were written by participants of the 4th International Conference on Dynamics, Games and Science: Decision Models in a Complex Economy (DGS IV), held at the National Distance Education University (UNED) in Madrid, Spain in June 2016 and of the 8th Berkeley Bioeconomy Conference: The Future of Biofuels, held at the UC Berkeley Alumni House in April 2015.
Modeling, Dynamics, Optimization and Bioeconomics IV: DGS VI JOLATE, Madrid, Spain, May 2018, and ICABR, Berkeley, USA, May–June 2017—Selected Contributions (Springer Proceedings in Mathematics & Statistics #365)
by David Zilberman Alberto PintoThis book, following the three published volumes of the book, provides the main purpose to collect research papers and review papers to provide an overview of the main issues, results, and open questions in the cutting-edge research on the fields of modeling, optimization, and dynamics and their applications to biology, economy, energy, industry, physics, psychology and finance. Assuming the scientific relevance of the presenting innovative applications as well as merging issues in these areas, the purpose of this book is to collect papers of the world experts in mathematics, economics, and other applied sciences that is seminal to the future research developments. The majority of the papers presented in this book is authored by the participants in The Joint Meeting 6th International Conference on Dynamics, Games, and Science – DGSVI – JOLATE and in the 21st ICABR Conference. The scientific scope of the conferences is focused on the fields of modeling, optimization, and dynamics and their applications to biology, economy, energy, industry, physics, psychology, and finance. Assuming the scientific relevance of the presenting innovative applications as well as merging issues in these areas, the purpose of the conference is to bring together some of the world experts in mathematics, economics, and other applied sciences that reinforce ongoing projects and establish future works and collaborations.
Modeling, Functions, and Graphs: Algebra for College Students
by Katherine Yoshiwara Bruce YoshiwaraThe Fourth Edition of Yoshiwara and Yoshiwara's MODELING, FUNCTIONS, AND GRAPHS: ALGEBRA FOR COLLEGE STUDENTS includes content found in a typical algebra course, along with introductions to curve-fitting and display of data. Yoshiwara and Yoshiwara focus on three core themes throughout their textbook: Modeling, Functions, and Graphs. In their work of modeling and functions, the authors utilize the Rule of Four, which is that all problems should be considered using algebraic, numerical, graphical, and verbal methods. The authors motivate students to acquire the skills and techniques of algebra by placing them in the context of simple applications that use real-life data.
Modeling, Simulation and Optimization in the Health- and Energy-Sector (SEMA SIMAI Springer Series #14)
by Axel Klar Nicolas R. Gauger René PinnauThis volume is addressed to people who are interested in modern mathematical solutions for real life applications. In particular, mathematical modeling, simulation and optimization is nowadays successfully used in various fields of application, like the energy- or health-sector. Here, mathematics is often the driving force for new innovations and most relevant for the success of many interdisciplinary projects. The presented chapters demonstrate the power of this emerging research field and show how society can benefit from applied mathematics.
Modeling, Simulation and Optimization of Complex Processes HPSC 2018: Proceedings of the 7th International Conference on High Performance Scientific Computing, Hanoi, Vietnam, March 19-23, 2018
by Willi Jäger Hans Georg Bock Hoang Xuan Phu Ekaterina KostinaThis proceedings volume highlights a selection of papers presented at the 7th International Conference on High Performance Scientific Computing, which took place in Hanoi, Vietnam, during March 19-23, 2018. The conference has been organized by the Institute of Mathematics of the Vietnam Academy of Science and Technology, the Interdisciplinary Center for Scientific Computing (IWR) of Heidelberg University and the Vietnam Institute for Advanced Study in Mathematics. The contributions cover a broad, interdisciplinary spectrum of scientific computing and showcase recent advances in theory, methods, and practical applications. Subjects covered include numerical simulation, methods for optimization and control, machine learning, parallel computing and software development, as well as the applications of scientific computing in mechanical engineering, airspace engineering, environmental physics, decision making, hydrogeology, material science and electric circuits.
Modeling, Simulation and Optimization of Complex Processes - HPSC 2012
by Johannes P. Schlöder Rolf Rannacher Hans Georg Bock Xuan Phu HoangThis proceedings volume gathers a selection of papers presented at the Fifth International Conference on High Performance Scientific Computing, which took place in Hanoi on March 5-9, 2012. The conference was organized by the Institute of Mathematics of the Vietnam Academy of Science and Technology (VAST), the Interdisciplinary Center for Scientific Computing (IWR) of Heidelberg University, Ho Chi Minh City University of Technology, and the Vietnam Institute for Advanced Study in Mathematics. The contributions cover the broad interdisciplinary spectrum of scientific computing and present recent advances in theory, development of methods, and practical applications. Subjects covered include mathematical modeling; numerical simulation; methods for optimization and control; parallel computing; software development; and applications of scientific computing in physics, mechanics and biomechanics, material science, hydrology, chemistry, biology, biotechnology, medicine, sports, psychology, transport, logistics, communication networks, scheduling, industry, business and finance.
Modeling, Simulation and Optimization: Proceedings of CoMSO 2020 (Smart Innovation, Systems and Technologies #206)
by Valentina Emilia Balas Sivaji Bandyopadhyay Ripon Patgiri Biplab DasThis book includes selected peer-reviewed papers presented at the International Conference on Modeling, Simulation and Optimization, organized by National Institute of Technology, Silchar, Assam, India, during 3–5 August 2020. The book covers topics of modeling, simulation and optimization, including computational modeling and simulation, system modeling and simulation, device/VLSI modeling and simulation, control theory and applications, modeling and simulation of energy system and optimization. The book disseminates various models of diverse systems and includes solutions of emerging challenges of diverse scientific fields.