Moving Boundary PDE Analysis: Biomedical Applications in R, William Schiesser
Автор: Younes Salehi, William E. Schiesser Название: Numerical Integration of Space Fractional Partial Differential Equations, Volume 2: Applications from Classical Integer PDEs ISBN: 1681732092 ISBN-13(EAN): 9781681732091 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 82230.00 T Наличие на складе: Нет в наличии. Описание: Partial differential equations are one of the most used widely forms of mathematics in science and engineering. Two fractional PDEs can be considered, fractional in time, and fractional in space. This volume is directed to the development and use of SFPDEs, providing a discussion of applications from classical integer PDEs.
Автор: Massimo Cicognani; Ferruccio Colombini; Daniele De Название: Studies in Phase Space Analysis with Applications to PDEs ISBN: 148999940X ISBN-13(EAN): 9781489999405 Издательство: Springer Рейтинг: Цена: 139750.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book covers advances in linear and nonlinear aspects of the theory of partial differential equations. Includes general theory; Hardy-type inequalities; linear and non-linear hyperbolic equations; Schrodinger equations; water-wave equations and more.
Автор: Karl K. Sabelfeld, Irina A. Shalimova Название: Spherical and Plane Integral Operators for PDEs: Construction, Analysis, and Applications ISBN: 3110315297 ISBN-13(EAN): 9783110315295 Издательство: Walter de Gruyter Рейтинг: Цена: 185890.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The book presents integral formulations for partial differential equations, with the focus on spherical and plane integral operators. The integral relations are obtained for different elliptic and parabolic equations, and both direct and inverse mean value relations are studied. The derived integral equations are used to construct new numerical methods for solving relevant boundary value problems, both deterministic and stochastic based on probabilistic interpretation of the spherical and plane integral operators.
Автор: Hemanth, D. Jude Название: Intelligent Data Analysis for Biomedical Applications ISBN: 0128155531 ISBN-13(EAN): 9780128155530 Издательство: Elsevier Science Рейтинг: Цена: 114530.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
Intelligent Data Analysis for Biomedical Applications: Challenges and Solutions presents specialized statistical, pattern recognition, machine learning, data abstraction and visualization tools for the analysis of data and discovery of mechanisms that create data. It provides computational methods and tools for intelligent data analysis, with an emphasis on problem-solving relating to automated data collection, such as computer-based patient records, data warehousing tools, intelligent alarming, effective and efficient monitoring, and more. This book provides useful references for educational institutions, industry professionals, researchers, scientists, engineers and practitioners interested in intelligent data analysis, knowledge discovery, and decision support in databases.
Provides the methods and tools necessary for intelligent data analysis and gives solutions to problems resulting from automated data collection
Contains an analysis of medical databases to provide diagnostic expert systems
Addresses the integration of intelligent data analysis techniques within biomedical information systems
Автор: Nazarov Alexander I, Poborchi Sergei Название: Poincare Inequality And Its Applications To Pde: An Advanced Textbook ISBN: 9814725870 ISBN-13(EAN): 9789814725873 Издательство: World Scientific Publishing Рейтинг: Цена: 65470.00 T Наличие на складе: Поставка под заказ. Описание: This book presents an introduction to the theory of Sobolev spaces that is a fundamental tool in the modern study of partial differential equations. The authors' approach is based on the Poincare inequality and demonstrates its importance in function theory and in the theory of PDEs.
Автор: Nazarov Alexander I, Poborchi Sergei Название: Poincare Inequality And Its Applications To Pde: An Advanced Textbook ISBN: 9814725889 ISBN-13(EAN): 9789814725880 Издательство: World Scientific Publishing Рейтинг: Цена: 33790.00 T Наличие на складе: Поставка под заказ. Описание: This book presents an introduction to the theory of Sobolev spaces that is a fundamental tool in the modern study of partial differential equations. The authors' approach is based on the Poincare inequality and demonstrates its importance in function theory and in the theory of PDEs.
Автор: Adimurthi; K. Sandeep; Ian Schindler; Cyril Tintar Название: Concentration Analysis and Applications to PDE ISBN: 3034803729 ISBN-13(EAN): 9783034803724 Издательство: Springer Рейтинг: Цена: 93160.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Concentration analysis provides, in settings without a priori available compactness, a manageable structural description for the functional sequences intended to approximate solutions of partial differential equations.
Автор: William E. Schiesser Название: Numerical Pde Analysis of the Blood Brain Barrier: Method of Lines in R ISBN: 9813275790 ISBN-13(EAN): 9789813275799 Издательство: World Scientific Publishing Рейтинг: Цена: 95040.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
The remarkable functionality of the brain is made possible by the metabolism (chemical reaction) of oxygen (O₂) and nutrients in the brain. These metabolism components are supplied to the brain by an intricate blood circulatory system (vasculature). The blood brain barrier (BBB), which is the central topic of this book, determines the rate of transfer from the blood to the brain tissue.
In particular, mathematical models are developed for mass transfer across the BBB based on partial differential equations (PDEs) applied to the blood capillaries, the endothelial membrane, and the brain tissue. The PDEs derived from mass balances and computer routines in R are presented for the numerical (computer-based) solution of the PDEs. The computed concentration profiles of the transferred components are functions of time and space within the BBB system, i.e., spatiotemporal solutions.
The R routines and the associated numerical algorithms for computing the numerical solutions are discussed in detail. The discussion is introductory, without formal mathematics, e.g., theorems and proofs. The general methodology (algorithm) for numerical PDE solutions is the method of lines (MOL).
The models are used to study the transfer of oxygen and nutrients, harmful substances that should not enter the brain such as chemicals and pathogens (viruses, bacteria), and therapeutic drugs. The intent of the book is to provide a quantitative approach to the study of BBB dynamics using a computer-based methodology programmed in R, a quality open-source scientific programming system that is easily downloaded from the Internet for execution on modest computers.
Автор: Massimo Cicognani; Ferruccio Colombini; Daniele De Название: Studies in Phase Space Analysis with Applications to PDEs ISBN: 1461463475 ISBN-13(EAN): 9781461463474 Издательство: Springer Рейтинг: Цена: 158380.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book covers advances in linear and nonlinear aspects of the theory of partial differential equations. Includes general theory; Hardy-type inequalities; linear and non-linear hyperbolic equations; Schrodinger equations; water-wave equations and more.
Автор: Tsai Jeffrey J P & Ng Ka-Lok Название: Computational Methods With Applications In Bioinformatics Analysis ISBN: 9813207973 ISBN-13(EAN): 9789813207974 Издательство: World Scientific Publishing Рейтинг: Цена: 90810.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
This compendium contains 10 chapters written by world renowned researchers with expertise in semantic computing, genome sequence analysis, biomolecular interaction, time-series microarray analysis, and machine learning algorithms.
The salient feature of this book is that it highlights eight types of computational techniques to tackle different biomedical applications. These techniques include unsupervised learning algorithms, principal component analysis, fuzzy integral, graph-based ensemble clustering method, semantic analysis, interolog approach, molecular simulations and enzyme kinetics.
The unique volume will be a useful reference material and an inspirational read for advanced undergraduate and graduate students, computer scientists, computational biologists, bioinformatics and biomedical professionals.
Автор: Nikos Katzourakis Название: An Introduction To Viscosity Solutions for Fully Nonlinear PDE with Applications to Calculus of Variations in L? ISBN: 3319128280 ISBN-13(EAN): 9783319128283 Издательство: Springer Рейтинг: Цена: 46570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The purpose of this book is to give a quick and elementary, yet rigorous, presentation of the rudiments of the so-called theory of Viscosity Solutions which applies to fully nonlinear 1st and 2nd order Partial Differential Equations (PDE).
Автор: Karl K. Sabelfeld, Nikolai A. Simonov Название: Stochastic Methods for Boundary Value Problems: Numerics for High-dimensional PDEs and Applications ISBN: 3110479060 ISBN-13(EAN): 9783110479065 Издательство: Walter de Gruyter Рейтинг: Цена: 123910.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This monograph is devoted to random walk based stochastic algorithms for solving high-dimensional boundary value problems of mathematical physics and chemistry. It includes Monte Carlo methods where the random walks live not only on the boundary, but also inside the domain. A variety of examples from capacitance calculations to electron dynamics in semiconductors are discussed to illustrate the viability of the approach.The book is written for mathematicians who work in the field of partial differential and integral equations, physicists and engineers dealing with computational methods and applied probability, for students and postgraduates studying mathematical physics and numerical mathematics. Contents: IntroductionRandom walk algorithms for solving integral equationsRandom walk-on-boundary algorithms for the Laplace equationWalk-on-boundary algorithms for the heat equationSpatial problems of elasticityVariants of the random walk on boundary for solving stationary potential problemsSplitting and survival probabilities in random walk methods and applicationsA random WOS-based KMC method for electron-hole recombinationsMonte Carlo methods for computing macromolecules properties and solving related problemsBibliography
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