Topics In Mathematical Modeling

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Topics In Mathematical Modeling

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Author : Ka-Kit Tung
language : en
Publisher: Princeton University Press
Release Date : 2007-04-15

Topics In Mathematical Modeling written by Ka-Kit Tung and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-04-15 with Mathematics categories.

Topics in Mathematical Modeling is an introductory textbook on mathematical modeling. The book teaches how simple mathematics can help formulate and solve real problems of current research interest in a wide range of fields, including biology, ecology, computer science, geophysics, engineering, and the social sciences. Yet the prerequisites are minimal: calculus and elementary differential equations. Among the many topics addressed are HIV; plant phyllotaxis; global warming; the World Wide Web; plant and animal vascular networks; social networks; chaos and fractals; marriage and divorce; and El Niño. Traditional modeling topics such as predator-prey interaction, harvesting, and wars of attrition are also included. Most chapters begin with the history of a problem, follow with a demonstration of how it can be modeled using various mathematical tools, and close with a discussion of its remaining unsolved aspects. Designed for a one-semester course, the book progresses from problems that can be solved with relatively simple mathematics to ones that require more sophisticated methods. The math techniques are taught as needed to solve the problem being addressed, and each chapter is designed to be largely independent to give teachers flexibility. The book, which can be used as an overview and introduction to applied mathematics, is particularly suitable for sophomore, junior, and senior students in math, science, and engineering.

Mathematical Models Volume I

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Author : Jerzy A. Filar
language : en
Publisher: EOLSS Publications
Release Date : 2009-09-19

Mathematical Models Volume I written by Jerzy A. Filar and has been published by EOLSS Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-09-19 with Mathematical models categories.

Mathematical Models is a component of Encyclopedia of Mathematical Sciences in the global Encyclopedia of Life Support Systems (EOLSS), which is an integrated compendium of twenty one Encyclopedias. The Theme on Mathematical Models discusses matters of great relevance to our world such as: Basic Principles of Mathematical Modeling; Mathematical Models in Water Sciences; Mathematical Models in Energy Sciences; Mathematical Models of Climate and Global Change; Infiltration and Ponding; Mathematical Models of Biology; Mathematical Models in Medicine and Public Health; Mathematical Models of Society and Development. These three volumes are aimed at the following five major target audiences: University and College students Educators, Professional practitioners, Research personnel and Policy analysts, managers, and decision makers and NGOs.

Topics In Mathematical Modeling And Analysis

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Author : Chérif Amrouche
language : en
Publisher:
Release Date : 2012

Topics In Mathematical Modeling And Analysis written by Chérif Amrouche and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with categories.

Mathematical And Computational Approaches In Advancing Modern Science And Engineering

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Author : Jacques Bélair
language : en
Publisher: Springer
Release Date : 2016-08-10

Mathematical And Computational Approaches In Advancing Modern Science And Engineering written by Jacques Bélair and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-10 with Computers categories.

Focusing on five main groups of interdisciplinary problems, this book covers a wide range of topics in mathematical modeling, computational science and applied mathematics. It presents a wealth of new results in the development of modeling theories and methods, advancing diverse areas of applications and promoting interdisciplinary interactions between mathematicians, scientists, engineers and representatives from other disciplines. The book offers a valuable source of methods, ideas, and tools developed for a variety of disciplines, including the natural and social sciences, medicine, engineering, and technology. Original results are presented on both the fundamental and applied level, accompanied by an ample number of real-world problems and examples emphasizing the interdisciplinary nature and universality of mathematical modeling, and providing an excellent outline of today’s challenges. Mathematical modeling, with applied and computational methods and tools, plays a fundamental role in modern science and engineering. It provides a primary and ubiquitous tool in the context making new discoveries, as well as in the development of new theories and techniques for solving key problems arising in scientific and engineering applications. The contributions, which are the product of two highly successful meetings held jointly in Waterloo, Ontario, Canada on the main campus of Wilfrid Laurier University in June 2015, i.e. the International Conference on Applied Mathematics, Modeling and Computational Science, and the Annual Meeting of the Canadian Applied and Industrial Mathematics (CAIMS), make the book a valuable resource for any reader interested in a broader overview of the methods, ideas and tools involved in mathematical and computational approaches developed for other disciplines, including the natural and social sciences, engineering and technology.

Principles Of Mathematical Modelling

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Author : Alexander A. Samarskii
language : en
Publisher: CRC Press
Release Date : 2001-12-20

Principles Of Mathematical Modelling written by Alexander A. Samarskii and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-12-20 with Mathematics categories.

Mathematical modeling is becoming increasingly versatile and multi-disciplinary. This text demonstrates the broadness of this field as the authors consider the principles of model construction and use common approaches to build models from a range of subject areas. The book reflects the interests and experiences of the authors, but it explores math

Mathematical Modeling

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Author : Sandip Banerjee
language : en
Publisher: CRC Press
Release Date : 2014-02-07

Mathematical Modeling written by Sandip Banerjee and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02-07 with Mathematics categories.

Almost every year, a new book on mathematical modeling is published, so, why another? The answer springs directly from the fact that it is very rare to find a book that covers modeling with all types of differential equations in one volume. Until now. Mathematical Modeling: Models, Analysis and Applications covers modeling with all kinds of differential equations, namely ordinary, partial, delay, and stochastic. The book also contains a chapter on discrete modeling, consisting of differential equations, making it a complete textbook on this important skill needed for the study of science, engineering, and social sciences. More than just a textbook, this how-to guide presents tools for mathematical modeling and analysis. It offers a wide-ranging overview of mathematical ideas and techniques that provide a number of effective approaches to problem solving. Topics covered include spatial, delayed, and stochastic modeling. The text provides real-life examples of discrete and continuous mathematical modeling scenarios. MATLAB® and Mathematica® are incorporated throughout the text. The examples and exercises in each chapter can be used as problems in a project. Since mathematical modeling involves a diverse range of skills and tools, the author focuses on techniques that will be of particular interest to engineers, scientists, and others who use models of discrete and continuous systems. He gives students a foundation for understanding and using the mathematics that is the basis of computers, and therefore a foundation for success in engineering and science streams.

Mathematical Modeling Of Biological Processes

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Author : Avner Friedman
language : en
Publisher: Springer
Release Date : 2014-09-19

Mathematical Modeling Of Biological Processes written by Avner Friedman and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-19 with Mathematics categories.

This book on mathematical modeling of biological processes includes a wide selection of biological topics that demonstrate the power of mathematics and computational codes in setting up biological processes with a rigorous and predictive framework. Topics include: enzyme dynamics, spread of disease, harvesting bacteria, competition among live species, neuronal oscillations, transport of neurofilaments in axon, cancer and cancer therapy, and granulomas. Complete with a description of the biological background and biological question that requires the use of mathematics, this book is developed for graduate students and advanced undergraduate students with only basic knowledge of ordinary differential equations and partial differential equations; background in biology is not required. Students will gain knowledge on how to program with MATLAB without previous programming experience and how to use codes in order to test biological hypothesis.

Mathematical Modeling In Discovery And Analysis Of Immune Responses

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Author : Jaroslaw Smieja
language : en
Publisher: Frontiers Media SA
Release Date : 2026-01-22

Mathematical Modeling In Discovery And Analysis Of Immune Responses written by Jaroslaw Smieja and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2026-01-22 with Medical categories.

Uncovering mechanisms regulating immune system responses is key to strengthening and redirecting them whenever necessary in cancer and infections as well as understanding autoimmune diseases. However, research in this area is hampered by heterogeneity at the cellular and physiological levels, making analysis of experimental and clinical data extremely difficult. Black-box models employed by artificial intelligence, while very helpful in data analysis, do not provide explanations about these mechanisms and their dynamics. On the other hand, mathematical models of dynamics of intercellular interactions and intracellular processes provide means to build up and preliminary test hypotheses about regulatory network structure and dynamics at any chosen level. Moreover, they facilitate simulation-based studies of potential treatment protocols, thus accelerating advances in clinical practice. This Research Topic focuses on mathematical modeling applied to understand, uncover, and utilize mechanisms involved in immune system responses at intracellular, tissue and physiological levels. We look forward to novel models supported by experimental and clinical data and bringing biologically or clinically relevant conclusions. The Topic’s goal is to advance knowledge in this area, to be utilized in new development of new molecular targets for future drugs and new therapy protocols. Through presenting original conclusions stemming from mathematical analyses, it should promote interdisciplinary research, linking molecular biologists, clinicians and modelers, showing benefits of mathematical support in clinically-oriented research. We welcome researchers to submit Perspectives, Original Research articles and Reviews, focusing on development and analysis of mathematical models related to immune system dynamics, including but not limited to the following subtopics: • Intracellular signaling pathways and regulatory networks associated with immune responses. • Cellular responses to viral infections. • Mechanisms of evading immune response by cancer cells. • Intercellular interactions associated with immune system response. • Model-based design of immunotherapy protocols. • Autoimmune diseases dynamics and treatment. Please NOTE: Manuscripts are required to go beyond showing their alignment with existing data and present analyses that advance knowledge in the area.

Mathematical Modeling In Combustion And Related Topics

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Author : Claude-Michel Brauner
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Mathematical Modeling In Combustion And Related Topics written by Claude-Michel Brauner and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.

This volume contains invited lectures and contributed papers presented at the NATO Advanced Research Workshop on Mathematical Modeling in Combustion and related topics, held in. Lyon (France), April 27 - 30, 1987. This conference was planned to fit in with the two-month visit of Professor G.S.S. Ludford to the Ecole Centrale de Lyon. He kindly agreed to chair the Scientific and Organizing Committee and actively helped to initiate the meeting. His death in December 1986 is an enormous loss to the scientific community in general, and in particular, to the people involved in the present enterprise. The subject of mathematical modeling in combustion is too large for a single conference, and the selection of topics re flects both areas of recent research activity and areas of in terest to Professor G.S.S. Ludford, to whose memory the Advanced Workshop and this present volume are dedicated. The meeting was divided into seven specialized sessions detonation theory, mathematical analysis, numerical treatment of combustion problems, flame theory, experimental and industrial aspects, complex chemistry, and turbulent combustion. It brought together researchers and engineers from University and Industry (see below the closing remarks of the workshop by Prof. N. Peters). The articles in this volume have been judged and accepted on their scientific quality, and language corrections may have been sacrificed in order to allow quick dissemination of knowledge to prevail.

Mathematical Models Of Life Support Systems Volume I

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Author : Valeri I. Agoshko
language : en
Publisher: EOLSS Publications
Release Date : 2009-10-10

Mathematical Models Of Life Support Systems Volume I written by Valeri I. Agoshko and has been published by EOLSS Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-10-10 with categories.

Mathematical Models of Life Support Systems is a component of Encyclopedia of Mathematical Sciences in which is part of the global Encyclopedia of Life Support Systems (EOLSS), an integrated compendium of twenty one Encyclopedias. The Theme is organized into several topics which represent the main scientific areas of the theme: The first topic, Introduction to Mathematical Modeling discusses the foundations of mathematical modeling and computational experiments, which are formed to support new methodologies of scientific research. The succeeding topics are Mathematical Models in - Water Sciences; Climate; Environmental Pollution and Degradation; Energy Sciences; Food and Agricultural Sciences; Population; Immunology; Medical Sciences; and Control of Catastrophic Processes. These two volumes are aimed at the following five major target audiences: University and College students Educators, Professional practitioners, Research personnel and Policy analysts, managers, and decision makers and NGOs.