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Mathematical Methods in Medical and Biological Sciences
Mathematical Methods in Medical and Biological Sciences presents mathematical methods for computational models arising in the medical and biological sciences. The book presents several real-life medical and biological models, such as infectious and non-infectious diseases that can be modeled mathematically to accomplish profound research in virtual environments when the cost of laboratory expenses is relatively high. It focuses on mathematical techniques that provide global solutions for models arising in medical and biological sciences by considering their long-term benefits. In addition, the book provides leading-edge developments and insights for a range of applications, including epidemi...
Beyond Perturbation
Solving nonlinear problems is inherently difficult, and the stronger the nonlinearity, the more intractable solutions become. Analytic approximations often break down as nonlinearity becomes strong, and even perturbation approximations are valid only for problems with weak nonlinearity. This book introduces a powerful new analytic method for nonlinear problems-homotopy analysis-that remains valid even with strong nonlinearity. In Part I, the author starts with a very simple example, then presents the basic ideas, detailed procedures, and the advantages (and limitations) of homotopy analysis. Part II illustrates the application of homotopy analysis to many interesting nonlinear problems. Thes...
The Mathematics of Harmony
Assisted by Scott Olsen (Central Florida Community College, USA) This volume is a result of the author's four decades of research in the field of Fibonacci numbers and the Golden Section and their applications. It provides a broad introduction to the fascinating and beautiful subject of the ?Mathematics of Harmony,? a new interdisciplinary direction of modern science. This direction has its origins in ?The Elements? of Euclid and has many unexpected applications in contemporary mathematics (a new approach to a history of mathematics, the generalized Fibonacci numbers and the generalized golden proportions, the ?golden? algebraic equations, the generalized Binet formulas, Fibonacci and ?golde...
Mathematics of Complexity and Dynamical Systems
Mathematics of Complexity and Dynamical Systems is an authoritative reference to the basic tools and concepts of complexity, systems theory, and dynamical systems from the perspective of pure and applied mathematics. Complex systems are systems that comprise many interacting parts with the ability to generate a new quality of collective behavior through self-organization, e.g. the spontaneous formation of temporal, spatial or functional structures. These systems are often characterized by extreme sensitivity to initial conditions as well as emergent behavior that are not readily predictable or even completely deterministic. The more than 100 entries in this wide-ranging, single source work provide a comprehensive explication of the theory and applications of mathematical complexity, covering ergodic theory, fractals and multifractals, dynamical systems, perturbation theory, solitons, systems and control theory, and related topics. Mathematics of Complexity and Dynamical Systems is an essential reference for all those interested in mathematical complexity, from undergraduate and graduate students up through professional researchers.
Fundamentals of Nano-Textile Science
Fundamentals of Nano-Textile Science provides a detailed overview of advanced nano-textiles methods, techniques, and treatments along with explanations of a wide range of applications. This book places emphasis on nanotechnology-based textile enhancements that provide high durability, better affinity, and more functionality in textile material and that overcomes the limitation of conventional processes in the textile industry. The first section of the book deals with the production method of nano-textile fibers. It elaborates how nano-techniques are used for producing textile fiber and discusses various pretreatment processes of textile materials using such methods as nano-scouring, nanobiop...
Chaotic Systems: Theory And Applications - Selected Papers From The 2nd Chaotic Modeling And Simulation International Conference (Chaos2009)
This volume contains a collection of papers suggested by the Scientific Committee that includes the best papers presented in the 2nd International Conference (CHAOS2009) on Chaotic Modeling, Simulation and Applications, that was held in Chania, Crete, Greece, June 1-5, 2009. The aim of the conference was to invite and bring together people working in interesting topics of chaotic modeling, nonlinear and dynamical systems and chaotic simulation.The volume presents theoretical and applied contributions on chaotic systems. Papers from several nonlinear analysis and chaotic fields are included and new and very important results are presented. Emphasis was given to the selection of works that have significant impact in the chaotic field and open new horizons to further develop related topics and subjects. Even more the selected papers are addressed to an interdisciplinary audience aiming at the broad dissemination of the theory and practice of chaotic modeling and simulation and nonlinear science.
Cancer Treatment: An Interdisciplinary Approach
Cancer treatment is a challenging issue, while the treatment modalities have extended from traditional surgery, chemotherapy, and radiation therapy to new therapeutic approaches, including targeted therapy, immunotherapy, stem cell transplantation, and hormone therapy. Therefore, an interdisciplinary approach is needed to find a better therapeutic protocols in order to increase the prognosis and quality of life of patients with cancer. The second volume of the “Interdisciplinary Cancer Research” series, entitled “Cancer Treatment: An Interdisciplinary Approach” publishes comprehensive volumes on different cancer treatment modalities and presents the most updated and peer-reviewed articles on cancer therapy. This interdisciplinary series is of special value to researchers and practitioners working on cell biology, immunology, hematology, biochemistry, genetics, oncology and related fields. This is the main concept of Cancer Immunology Project (CIP), which is a part of Universal Scientific Education and Research Network (USERN). This interdisciplinary book will be of special value for researchers and clinicians who wish to extend their knowledge on cancer treatment.
Bears of the North
"The author's narrative and photographs follow the polar bear, the brown bear, the Asiatic black bear, and the American black bear through the four seasons of the year. The book is richly illustrated and informative about the biology, ethology, and ecology of bears"--
Solitons
This newly updated volume of the Encyclopedia of Complexity and Systems Science (ECSS) presents several mathematical models that describe this physical phenomenon, including the famous non-linear equation Korteweg-de-Vries (KdV) that represents the canonical form of solitons. Also, there exists a class of nonlinear partial differential equations that led to solitons, e.g., Kadomtsev-Petviashvili (KP), Klein-Gordon (KG), Sine-Gordon (SG), Non-Linear Schrödinger (NLS), Korteweg-de-Vries Burger’s (KdVB), etc. Different linear mathematical methods can be used to solve these models analytically, such as the Inverse Scattering Transformation (IST), Adomian Decomposition Method, Variational Iter...
