Mathematical and Experimental Modeling of Physical and Biological Processes

Author: H.T. Banks,H.T. Tran

Publisher: CRC Press

ISBN: 9781420073386

Category: Mathematics

Page: 298

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Through several case study problems from industrial and scientific research laboratory applications, Mathematical and Experimental Modeling of Physical and Biological Processes provides students with a fundamental understanding of how mathematics is applied to problems in science and engineering. For each case study problem, the authors discuss why a model is needed and what goals can be achieved with the model. Exploring what mathematics can reveal about applications, the book focuses on the design of appropriate experiments to validate the development of mathematical models. It guides students through the modeling process, from empirical observations and formalization of properties to model analysis and interpretation of results. The authors also describe the hardware and software tools used to design the experiments so faculty/students can duplicate them. Integrating real-world applications into the traditional mathematics curriculum, this textbook deals with the formulation and analysis of mathematical models in science and engineering. It gives students an appreciation of the use of mathematics and encourages them to further study the applied topics. Real experimental data for projects can be downloaded from CRC Press Online.

Coupled Mathematical Models for Physical and Biological Nanoscale Systems and Their Applications

Banff International Research Station, Banff, Canada, 28 August - 2 September 2016

Author: Luis L. Bonilla,Efthimios Kaxiras,Roderick Melnik

Publisher: Springer

ISBN: 331976599X

Category: Mathematics

Page: 314

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This volume gathers selected contributions from the participants of the Banff International Research Station (BIRS) workshop Coupled Mathematical Models for Physical and Biological Nanoscale Systems and their Applications, who explore various aspects of the analysis, modeling and applications of nanoscale systems, with a particular focus on low dimensional nanostructures and coupled mathematical models for their description. Due to the vastness, novelty and complexity of the interfaces between mathematical modeling and nanoscience and nanotechnology, many important areas in these disciplines remain largely unexplored. In their efforts to move forward, multidisciplinary research communities have come to a clear understanding that, along with experimental techniques, mathematical modeling and analysis have become crucial to the study, development and application of systems at the nanoscale. The conference, held at BIRS in autumn 2016, brought together experts from three different communities working in fields where coupled mathematical models for nanoscale and biosystems are especially relevant: mathematicians, physicists (both theorists and experimentalists), and computational scientists, including those dealing with biological nanostructures. Its objectives: summarize the state-of-the-art; identify and prioritize critical problems of major importance that require solutions; analyze existing methodologies; and explore promising approaches to addressing the challenges identified. The contributions offer up-to-date introductions to a range of topics in nano and biosystems, identify important challenges, assess current methodologies and explore promising approaches. As such, this book will benefit researchers in applied mathematics, as well as physicists and biologists interested in coupled mathematical models and their analysis for physical and biological nanoscale systems that concern applications in biotechnology and medicine, quantum information processing and optoelectronics.

Mathematical Modeling of Food Processing

Author: Mohammed M. Farid

Publisher: CRC Press

ISBN: 9781420053548

Category: Technology & Engineering

Page: 999

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Written by international experts from industry, research centers, and academia, Mathematical Modeling of Food Processing discusses the physical and mathematical analysis of transport phenomena associated with food processing. The models presented describe many of the important physical and biological transformations that occur in food during processing. After introducing the fundamentals of heat, mass, and momentum transfer as well as computational fluid dynamics (CFD), the book focuses on specialized topics in food processing. It covers thermal, low temperature, non-thermal, and non-conventional thermal processing, along with the analysis of biological and enzyme reactors. The book also explores the use of artificial neural networks, exergy analysis, process control, and cleaning-in-place (CIP) systems in industry. With the availability of high speed computers and advances in computational techniques, the application of mathematical modeling in food science and engineering is growing. This comprehensive volume provides up-to-date, wide-ranging material on the mathematical analysis of transport phenomena in food.

Computer Simulation Analysis of Biological and Agricultural Systems

Author: Barney K. Huang

Publisher: CRC Press

ISBN: 9780849348693

Category: Technology & Engineering

Page: 880

View: 5027

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Computer Simulation Analysis of Biological and Agricultural Systems focuses on the integration of mathematical models and the dynamic simulation essential to system analysis, design, and synthesis. The book emphasizes the quantitative dynamic relationships between elements and system responses. Problems of various degrees of difficulty and complexity are discussed to illustrate methods of computer-aided design and analysis that can bridge the gap between theories and applications. These problems cover a wide variety of subjects in the biological and agricultural fields. Specific guidelines and practical methods for defining requirements, developing specifications, and integrating system modeling early in simulation development are included as well. Computer Simulation Analysis of Biological and Agricultural Systems is an excellent text and self-guide for agricultural engineers, agronomists, foresters, horticulturists, soil scientists, mechanical engineers, and computer simulators.

Emergence, Analysis and Evolution of Structures

Concepts and Strategies Across Disciplines

Author: Klaus Lucas,Peter Roosen

Publisher: Springer Science & Business Media

ISBN: 3642008690

Category: Technology & Engineering

Page: 310

View: 5985

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In May 2002 a number of about 20 scientists from various disciplines were invited by the Berlin-Brandenburg Academy of Sciences and Humanities to participate in an interdisciplinary workshop on structures and structure generating processes. The site was the beautiful little castle of Blankensee, south of Berlin. The disciplines represented ranged from mathematics and information theory, over various ?elds of engineering, biochemistry and biology, to the economic and social sciences. All participants presented talks explaining the nature of structures considered in their ?elds and the associated procedures of analysis. It soon became evident that the study of structures is indeed a common c- cern of virtually all disciplines. The motivation as well as the methods of analysis, however, differ considerably. In engineering, the generation of artifacts, such as infrastructures or technological processes, are of primary interest. Frequently, the analysis aims there at de?ning a simpli?ed mathematical model for the optimization of the structures and the structure generating processes. Mathematical or heuristic methods are applied, the latter preferably of the type of biology based evolutionary algorithms. On the other hand, setting up complex technical structures is not pos- ble by such simpli?ed model calculations but requires a different and less model but rather knowledge-based type of approach, using empirical rules rather than formal equations. In biochemistry, interest is frequently focussed on the structures of molecules, such as proteins or ribonucleic acids. Again, optimal structures can usually be de?ned.

Dynamics and Bioavailability of Heavy Metals in the Rootzone

Author: H. Magdi Selim

Publisher: CRC Press

ISBN: 9781439826232

Category: Science

Page: 313

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Concerns regarding heavy metal contamination in terrestrial ecosystems have prompted increasing efforts on limiting their bioavailability in the root zone. The complexity of the hydrologic system gives rise to the need for understanding the fate and transport of trace elements in the soil-water-plant environment. Dynamics and Bioavailability of Heavy Metals in the Rootzone provides a multidisciplinary approach with emphasis on geohydrology, plant and soil science, and environmental chemistry. The primary focus of this book is on different approaches that describe the dynamics of heavy metals in the soil system. These approaches are key to providing direct information on the concentration of heavy metals and hence on their transport, toxicity, and bioavailability. The book includes chapters covering equilibrium and kinetic models of heavy metal interactions as well as non-equilibrium transport models. It also discusses chemical processes controlling soil solution concentrations and modeling of heavy metals adsorption. Addressing the biological component of heavy metal dynamics, this work examines rhizosphere microorganisms and phytoremediation. Colloid-associated transport, which can result in groundwater contamination, is discussed in relation to reclaimed mine sites. The authors also present an overview of recent advancements in the biogeochemistry of trace elements and their environmental implications. Additional chapters include examination of various natural environments including runoff waters at the watershed scale, heavy metal transformation in wetlands, dynamics of trace metals in frequently flooded soils, and effects on crops in biosolid-amended soils. Reliable assessment of potential risks resulting from the transport of trace elements in the soil environment requires the examination of complex chemical and biological interactions due to the heterogeneous nature of soils. This text describes the current state of the art in this field and explores innovative experimental and theoretical/modeling approaches that will enhance this knowledge. The book provides a coherent presentation of recent advances in techniques, modeling, and dynamics and bioavailability of heavy metals in the root zone.

Differential Equations and Mathematical Biology, Second Edition

Author: D.S. Jones,Michael Plank,B.D. Sleeman

Publisher: CRC Press

ISBN: 9781420083583

Category: Mathematics

Page: 462

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Deepen students’ understanding of biological phenomena Suitable for courses on differential equations with applications to mathematical biology or as an introduction to mathematical biology, Differential Equations and Mathematical Biology, Second Edition introduces students in the physical, mathematical, and biological sciences to fundamental modeling and analytical techniques used to understand biological phenomena. In this edition, many of the chapters have been expanded to include new and topical material. New to the Second Edition A section on spiral waves Recent developments in tumor biology More on the numerical solution of differential equations and numerical bifurcation analysis MATLAB® files available for download online Many additional examples and exercises This textbook shows how first-order ordinary differential equations (ODEs) are used to model the growth of a population, the administration of drugs, and the mechanism by which living cells divide. The authors present linear ODEs with constant coefficients, extend the theory to systems of equations, model biological phenomena, and offer solutions to first-order autonomous systems of nonlinear differential equations using the Poincaré phase plane. They also analyze the heartbeat, nerve impulse transmission, chemical reactions, and predator–prey problems. After covering partial differential equations and evolutionary equations, the book discusses diffusion processes, the theory of bifurcation, and chaotic behavior. It concludes with problems of tumor growth and the spread of infectious diseases.

A Survey of Models for Tumor-Immune System Dynamics

Author: John A. Adam,Nicola Bellomo

Publisher: Springer Science & Business Media

ISBN: 9780817639013

Category: Mathematics

Page: 344

View: 1291

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Old Dominion University, Norfolk, VA.Research on mathematical modeling and immunology, specifically on modeling tumor dynamics and interactions between tumors and immune system, for biologists and mathematical biologists.

The Digital Turn in Architecture 1992 - 2012

Author: Mario Carpo

Publisher: John Wiley & Sons

ISBN: 111842591X

Category: Architecture

Page: 264

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Now almost 20 years old, the digital turn in architecture hasalready gone through several stages and phases. ArchitecturalDesign (AD) has captured them all – from foldingto cyberspace, nonlinearity and hypersurfaces, from versioning toscripting, emergence, information modelling and parametricism. Ithas recorded and interpreted the spirit of the times with vividdocumentary precision, fostering and often anticipating crucialarchitectural and theoretical developments. This anthology ofAD’s most salient articles is chronologically andthematically arranged to provide a complete historical timeline ofthe recent rise to pre-eminence of computer-based design andproduction. Mario Carpo provides an astute overview of the recenthistory of digital design in his comprehensive introductory essayand in his leaders to each original text. A much needed pedagogicaland research tool for students and scholars, this synopsis alsorelates the present state of digitality in architecture to thehistory and theory of its recent development and trends, and raisesissues of crucial importance for the contemporary practice of thedesign professions. A comprehensive anthology on digital architecture edited by oneof its most eminent scholars in this field, Mario Carpo. Includes seminal texts by Bernard Cache, Peter Eisenman, JohnFrazer, Charles Jencks, Greg Lynn, Achim Menges and PatrikSchumacher. Features key works by FOA, Frank Gehry, Zaha Hadid, Ali Rahim,Lars Spuybroek/NOX, Kas Oosterhuis and SHoP.

Cellular Automaton Modeling of Biological Pattern Formation

Characterization, Applications, and Analysis

Author: Andreas Deutsch,Sabine Dormann

Publisher: Springer Science & Business Media

ISBN: 9780817644154

Category: Science

Page: 331

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This book focuses on a challenging application field of cellular automata: pattern formation in biological systems, such as the growth of microorganisms, dynamics of cellular tissue and tumors, and formation of pigment cell patterns. These phenomena, resulting from complex cellular interactions, cannot be deduced solely from experimental analysis, but can be more easily examined using mathematical models, in particular, cellular automaton models. While there are various books treating cellular automaton modeling, this interdisciplinary work is the first one covering biological applications. The book is aimed at researchers, practitioners, and students in applied mathematics, mathematical biology, computational physics, bioengineering, and computer science interested in a cellular automaton approach to biological modeling.

The Design and Analysis of Computer Experiments

Author: Thomas J. Santner,Brian J. Williams,William Notz,William I. Notz

Publisher: Springer Science & Business Media

ISBN: 9780387954202

Category: Computers

Page: 283

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In the past 15 to 20 years, the computer has become a popular tool for exploring the relationship between a measured response and factors thought to affect the response. In many cases, scientific theories exist that implicitly relate the response to the factors by means of systems of mathematical equations. There also exist numerical methods for accurately solving such equations and appropriate computer hardware and software to implement these methods. In many engineering applications, for example, the relationship is described by a dynamical system and the numerical method is a finite element code. In such situations, these numerical methods allow one to produce computer code that can generate the response corresponding to any given set of values of the factors. This allows one to conduct an "experiment" (called a "computer experiment") to explore the relationship between the response and the factors using the code. Indeed, in some cases computer experimentation is feasible when a properly designed physical experiment (the gold standard for establishing cause and effect) is impossible. For example, the number of input variables may be too large to consider performing a physical experiment or it may simply be economically prohibitive to run an experiment on the scale required to gather sufficient information to answer a particular research question. This book describes methods for designing and analyzing experiments conducted using computer code in lieu of a physical experiment. It discusses how to select the values of the factors at which to run the code (the design of the computer experiment) in light of the research objectives of the experimenter. It also provides techniques for analyzing the resulting data so as to achieve these research goals. It illustrates these methods with code that is available to the reader at

Physical and Information Models in Geography (Routledge Revivals)

Author: Richard J. Chorley,Peter Haggett

Publisher: Routledge

ISBN: 1135120994

Category: Science

Page: 314

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First published in 1967, this book explores the theme of geographical generalization, or model building. It is composed of eight of the chapters from the original Models in Geography, published in 1967. The first chapter broadly outlines geographical generalization and examines the nature and function of generalized statements, ranging from conceptual models to scale models, in a geographical context. The following chapter deals with model theory in a wider scientific framework and the rest of the book discusses models of physical systems and information models. The book considers model-type generalizations that are applied in the three fields of geomorphology, meteorology and climatology, and hydrology before focusing on the transference of information and ideas in geography. This text represents a robustly anti-idiographic statement of modern work in one of the major branches of geography.

Modeling of Cancer Genesis and Prevention

Author: Nicolae Voiculetz,Alexandru T Balaban,Ion Niculescu-Duvaz,Zeno Simon

Publisher: CRC Press

ISBN: 9780849363795

Category: Medical

Page: 264

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This book presents a comprehensive review of the interaction between cancer research and mathematical methods for both investigators in the field and newcomers just entering it. The book's primary focus is on the use of computer-assisted mathematical modeling in carcinogenesis and cancer prevention. The first two chapters include a general presentation of the carcinogenesis and anticarcinogenesis molecular mechanisms, followed by a discussion of mathematical models of triggers for gene regulation. A description of the prediction of both carcinogenicity and mutagenicity using quantum mechanical, topological or physico-chemical indices is presented, as well as a discussion of the QSAR analysis of carcinogenesis-inhibiting compounds (known as blocking or suppressive agents).

Groundwater Reactive Transport Models

Author: Fan Zhang,Gour-Tsyh (George) Yeh,Jack C. Parker

Publisher: Bentham Science Publishers

ISBN: 1608053067

Category: Science

Page: 254

View: 3030

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Ground water reactive transport models are useful to assess and quantify contaminant precipitation, absorption and migration in subsurface media. Many ground water reactive transport models available today are characterized by varying complexities, strengths, and weaknesses. Selecting accurate, efficient models can be a challenging task. This ebook addresses the needs, issues and challenges relevant to selecting a ground water reactive transport model to evaluate natural attenuation and alternative remediation schemes. It should serve as a handy guide for water resource managers seeking to ach.

Optimal Control of Soil Venting: Mathematical Modeling and Applications

Author: Marian Slodicka,Horst H. Gerke,Urs Hornung,Youcef Kelanemer,Stephan Schumacher

Publisher: Springer Science & Business Media

ISBN: 9783764360412

Category: Science

Page: 152

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A description of the latest and most appropriate mathematical and numerical methods for optimizing soil venting. The monograph considers mathematical, numerical, and technical aspects as well as their practical significance. This book will be of interest to applied mathematicians, geophysicists, geoecologists, soil physicists, and environmental engineers.