Computing Characterizations Of Drugs For Ion Channels And Receptors Using Markov Models

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Computing Characterizations of Drugs for Ion Channels and Receptors Using Markov Models

Aslak Tveito,Glenn T. Lines
Computing Characterizations of Drugs for Ion Channels and Receptors Using Markov Models Book PDF

Author : Aslak Tveito,Glenn T. Lines
Publisher : Springer
Page : 261 pages
File Size : 43,5 Mb
Release : 2016-04-19
Category : Computers
ISBN : 9783319300306

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Computing Characterizations of Drugs for Ion Channels and Receptors Using Markov Models by Aslak Tveito,Glenn T. Lines Pdf

Flow of ions through voltage gated channels can be represented theoretically using stochastic differential equations where the gating mechanism is represented by a Markov model. The flow through a channel can be manipulated using various drugs, and the effect of a given drug can be reflected by changing the Markov model. These lecture notes provide an accessible introduction to the mathematical methods needed to deal with these models. They emphasize the use of numerical methods and provide sufficient details for the reader to implement the models and thereby study the effect of various drugs. Examples in the text include stochastic calcium release from internal storage systems in cells, as well as stochastic models of the transmembrane potential. Well known Markov models are studied and a systematic approach to including the effect of mutations is presented. Lastly, the book shows how to derive the optimal properties of a theoretical model of a drug for a given mutation defined in terms of a Markov model.

Perspectives on Antiarrhythmic Drug Therapy: Disappointing Past, Current Efforts and Faint Hopes

Peter P. Nanasi,László Virág,Esther Pueyo
Perspectives on Antiarrhythmic Drug Therapy Disappointing Past Current Efforts and Faint Hopes Book PDF

Author : Peter P. Nanasi,László Virág,Esther Pueyo
Publisher : Frontiers Media SA
Page : 241 pages
File Size : 54,6 Mb
Release : 2020-09-08
Category : Medical
ISBN : 9782889639960

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Perspectives on Antiarrhythmic Drug Therapy: Disappointing Past, Current Efforts and Faint Hopes by Peter P. Nanasi,László Virág,Esther Pueyo Pdf

This eBook is a collection of articles from a Frontiers Research Topic. Frontiers Research Topics are very popular trademarks of the Frontiers Journals Series: they are collections of at least ten articles, all centered on a particular subject. With their unique mix of varied contributions from Original Research to Review Articles, Frontiers Research Topics unify the most influential researchers, the latest key findings and historical advances in a hot research area! Find out more on how to host your own Frontiers Research Topic or contribute to one as an author by contacting the Frontiers Editorial Office: frontiersin.org/about/contact.

Finite Difference Computing with PDEs

Hans Petter Langtangen,Svein Linge
Finite Difference Computing with PDEs Book PDF

Author : Hans Petter Langtangen,Svein Linge
Publisher : Springer
Page : 522 pages
File Size : 55,5 Mb
Release : 2017-06-21
Category : Computers
ISBN : 9783319554563

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Finite Difference Computing with PDEs by Hans Petter Langtangen,Svein Linge Pdf

This book is open access under a CC BY 4.0 license. This easy-to-read book introduces the basics of solving partial differential equations by means of finite difference methods. Unlike many of the traditional academic works on the topic, this book was written for practitioners. Accordingly, it especially addresses: the construction of finite difference schemes, formulation and implementation of algorithms, verification of implementations, analyses of physical behavior as implied by the numerical solutions, and how to apply the methods and software to solve problems in the fields of physics and biology.

Scientific Computing

John A. Trangenstein
Scientific Computing Book PDF

Author : John A. Trangenstein
Publisher : Springer
Page : 600 pages
File Size : 52,6 Mb
Release : 2018-05-14
Category : Mathematics
ISBN : 9783319691077

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Scientific Computing by John A. Trangenstein Pdf

This is the second of three volumes providing a comprehensive presentation of the fundamentals of scientific computing. This volume discusses more advanced topics than volume one, and is largely not a prerequisite for volume three. This book and its companions show how to determine the quality of computational results, and how to measure the relative efficiency of competing methods. Readers learn how to determine the maximum attainable accuracy of algorithms, and how to select the best method for computing problems. This book also discusses programming in several languages, including C++, Fortran and MATLAB. There are 49 examples, 110 exercises, 66 algorithms, 24 interactive JavaScript programs, 77 references to software programs and 1 case study. Topics are introduced with goals, literature references and links to public software. There are descriptions of the current algorithms in LAPACK, GSLIB and MATLAB. This book could be used for a second course in numerical methods, for either upper level undergraduates or first year graduate students. Parts of the text could be used for specialized courses, such as nonlinear optimization or iterative linear algebra.

Scientific Computing

Bertil Gustafsson
Scientific Computing Book PDF

Author : Bertil Gustafsson
Publisher : Springer
Page : 262 pages
File Size : 44,6 Mb
Release : 2018-10-03
Category : Mathematics
ISBN : 9783319698472

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Scientific Computing by Bertil Gustafsson Pdf

This book explores the most significant computational methods and the history of their development. It begins with the earliest mathematical / numerical achievements made by the Babylonians and the Greeks, followed by the period beginning in the 16th century. For several centuries the main scientific challenge concerned the mechanics of planetary dynamics, and the book describes the basic numerical methods of that time. In turn, at the end of the Second World War scientific computing took a giant step forward with the advent of electronic computers, which greatly accelerated the development of numerical methods. As a result, scientific computing became established as a third scientific method in addition to the two traditional branches: theory and experimentation. The book traces numerical methods’ journey back to their origins and to the people who invented them, while also briefly examining the development of electronic computers over the years. Featuring 163 references and more than 100 figures, many of them portraits or photos of key historical figures, the book provides a unique historical perspective on the general field of scientific computing – making it a valuable resource for all students and professionals interested in the history of numerical analysis and computing, and for a broader readership alike.

Numerical Geometry, Grid Generation and Scientific Computing

Vladimir A. Garanzha,Lennard Kamenski,Hang Si
Numerical Geometry Grid Generation and Scientific Computing Book PDF

Author : Vladimir A. Garanzha,Lennard Kamenski,Hang Si
Publisher : Springer Nature
Page : 419 pages
File Size : 47,8 Mb
Release : 2021-09-25
Category : Mathematics
ISBN : 9783030767983

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Numerical Geometry, Grid Generation and Scientific Computing by Vladimir A. Garanzha,Lennard Kamenski,Hang Si Pdf

The focus of these conference proceedings is on research, development, and applications in the fields of numerical geometry, scientific computing and numerical simulation, particularly in mesh generation and related problems. In addition, this year’s special focus is on Delaunay triangulations and their applications, celebrating the 130th birthday of Boris Delaunay. In terms of content, the book strikes a balance between engineering algorithms and mathematical foundations. It presents an overview of recent advances in numerical geometry, grid generation and adaptation in terms of mathematical foundations, algorithm and software development and applications. The specific topics covered include: quasi-conformal and quasi-isometric mappings, hyperelastic deformations, multidimensional generalisations of the equidistribution principle, discrete differential geometry, spatial and metric encodings, Voronoi-Delaunay theory for tilings and partitions, duality in mathematical programming and numerical geometry, mesh-based optimisation and optimal control methods. Further aspects examined include iterative solvers for variational problems and algorithm and software development. The applications of the methods discussed are multidisciplinary and include problems from mathematics, physics, biology, chemistry, material science, and engineering.

Software for Exascale Computing - SPPEXA 2016-2019

Hans-Joachim Bungartz,Severin Reiz,Benjamin Uekermann,Philipp Neumann,Wolfgang E. Nagel
Software for Exascale Computing SPPEXA 2016 2019 Book PDF

Author : Hans-Joachim Bungartz,Severin Reiz,Benjamin Uekermann,Philipp Neumann,Wolfgang E. Nagel
Publisher : Springer Nature
Page : 624 pages
File Size : 54,8 Mb
Release : 2020-07-30
Category : Computers
ISBN : 9783030479565

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Software for Exascale Computing - SPPEXA 2016-2019 by Hans-Joachim Bungartz,Severin Reiz,Benjamin Uekermann,Philipp Neumann,Wolfgang E. Nagel Pdf

This open access book summarizes the research done and results obtained in the second funding phase of the Priority Program 1648 "Software for Exascale Computing" (SPPEXA) of the German Research Foundation (DFG) presented at the SPPEXA Symposium in Dresden during October 21-23, 2019. In that respect, it both represents a continuation of Vol. 113 in Springer’s series Lecture Notes in Computational Science and Engineering, the corresponding report of SPPEXA’s first funding phase, and provides an overview of SPPEXA’s contributions towards exascale computing in today's sumpercomputer technology. The individual chapters address one or more of the research directions (1) computational algorithms, (2) system software, (3) application software, (4) data management and exploration, (5) programming, and (6) software tools. The book has an interdisciplinary appeal: scholars from computational sub-fields in computer science, mathematics, physics, or engineering will find it of particular interest.

Eigenvalue Problems: Algorithms, Software and Applications in Petascale Computing

Tetsuya Sakurai,Shao-Liang Zhang,Toshiyuki Imamura,Yusaku Yamamoto,Yoshinobu Kuramashi,Takeo Hoshi
Eigenvalue Problems Algorithms Software and Applications in Petascale Computing Book PDF

Author : Tetsuya Sakurai,Shao-Liang Zhang,Toshiyuki Imamura,Yusaku Yamamoto,Yoshinobu Kuramashi,Takeo Hoshi
Publisher : Springer
Page : 313 pages
File Size : 52,7 Mb
Release : 2018-01-03
Category : Computers
ISBN : 9783319624266

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Eigenvalue Problems: Algorithms, Software and Applications in Petascale Computing by Tetsuya Sakurai,Shao-Liang Zhang,Toshiyuki Imamura,Yusaku Yamamoto,Yoshinobu Kuramashi,Takeo Hoshi Pdf

This book provides state-of-the-art and interdisciplinary topics on solving matrix eigenvalue problems, particularly by using recent petascale and upcoming post-petascale supercomputers. It gathers selected topics presented at the International Workshops on Eigenvalue Problems: Algorithms; Software and Applications, in Petascale Computing (EPASA2014 and EPASA2015), which brought together leading researchers working on the numerical solution of matrix eigenvalue problems to discuss and exchange ideas – and in so doing helped to create a community for researchers in eigenvalue problems. The topics presented in the book, including novel numerical algorithms, high-performance implementation techniques, software developments and sample applications, will contribute to various fields that involve solving large-scale eigenvalue problems.

Multiscale Models in Mechano and Tumor Biology

Alf Gerisch,Raimondo Penta,Jens Lang
Multiscale Models in Mechano and Tumor Biology Book PDF

Author : Alf Gerisch,Raimondo Penta,Jens Lang
Publisher : Springer
Page : 195 pages
File Size : 45,5 Mb
Release : 2018-03-16
Category : Mathematics
ISBN : 9783319733715

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Multiscale Models in Mechano and Tumor Biology by Alf Gerisch,Raimondo Penta,Jens Lang Pdf

This book presents and discusses the state of the art and future perspectives in mathematical modeling and homogenization techniques with the focus on addressing key physiological issues in the context of multiphase healthy and malignant biological materials. The highly interdisciplinary content brings together contributions from scientists with complementary areas of expertise, such as pure and applied mathematicians, engineers, and biophysicists. The book also features the lecture notes from a half-day introductory course on asymptotic homogenization. These notes are suitable for undergraduate mathematics or physics students, while the other chapters are aimed at graduate students and researchers.

Software for Exascale Computing - SPPEXA 2013-2015

Hans-Joachim Bungartz,Philipp Neumann,Wolfgang E. Nagel
Software for Exascale Computing SPPEXA 2013 2015 Book PDF

Author : Hans-Joachim Bungartz,Philipp Neumann,Wolfgang E. Nagel
Publisher : Springer
Page : 565 pages
File Size : 42,8 Mb
Release : 2016-09-14
Category : Computers
ISBN : 9783319405285

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Software for Exascale Computing - SPPEXA 2013-2015 by Hans-Joachim Bungartz,Philipp Neumann,Wolfgang E. Nagel Pdf

The research and its outcomes presented in this collection focus on various aspects of high-performance computing (HPC) software and its development which is confronted with various challenges as today's supercomputer technology heads towards exascale computing. The individual chapters address one or more of the research directions (1) computational algorithms, (2) system software, (3) application software, (4) data management and exploration, (5) programming, and (6) software tools. The collection thereby highlights pioneering research findings as well as innovative concepts in exascale software development that have been conducted under the umbrella of the priority programme "Software for Exascale Computing" (SPPEXA) of the German Research Foundation (DFG) and that have been presented at the SPPEXA Symposium, Jan 25-27 2016, in Munich. The book has an interdisciplinary appeal: scholars from computational sub-fields in computer science, mathematics, physics, or engineering will find it of particular interest.

Introduction to Scientific Computing and Data Analysis

Mark H. Holmes
Introduction to Scientific Computing and Data Analysis Book PDF

Author : Mark H. Holmes
Publisher : Springer
Page : 497 pages
File Size : 55,8 Mb
Release : 2016-05-30
Category : Computers
ISBN : 9783319302560

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Introduction to Scientific Computing and Data Analysis by Mark H. Holmes Pdf

This textbook provides and introduction to numerical computing and its applications in science and engineering. The topics covered include those usually found in an introductory course, as well as those that arise in data analysis. This includes optimization and regression based methods using a singular value decomposition. The emphasis is on problem solving, and there are numerous exercises throughout the text concerning applications in engineering and science. The essential role of the mathematical theory underlying the methods is also considered, both for understanding how the method works, as well as how the error in the computation depends on the method being used. The MATLAB codes used to produce most of the figures and data tables in the text are available on the author’s website and SpringerLink.

Advanced Finite Element Methods with Applications

Thomas Apel,Ulrich Langer,Arnd Meyer,Olaf Steinbach
Advanced Finite Element Methods with Applications Book PDF

Author : Thomas Apel,Ulrich Langer,Arnd Meyer,Olaf Steinbach
Publisher : Springer
Page : 428 pages
File Size : 49,9 Mb
Release : 2019-06-28
Category : Mathematics
ISBN : 9783030142445

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Advanced Finite Element Methods with Applications by Thomas Apel,Ulrich Langer,Arnd Meyer,Olaf Steinbach Pdf

Finite element methods are the most popular methods for solving partial differential equations numerically, and despite having a history of more than 50 years, there is still active research on their analysis, application and extension. This book features overview papers and original research articles from participants of the 30th Chemnitz Finite Element Symposium, which itself has a 40-year history. Covering topics including numerical methods for equations with fractional partial derivatives; isogeometric analysis and other novel discretization methods, like space-time finite elements and boundary elements; analysis of a posteriori error estimates and adaptive methods; enhancement of efficient solvers of the resulting systems of equations, discretization methods for partial differential equations on surfaces; and methods adapted to applications in solid and fluid mechanics, it offers readers insights into the latest results.

Programming for Computations - Python

Svein Linge,Hans Petter Langtangen
Programming for Computations Python Book PDF

Author : Svein Linge,Hans Petter Langtangen
Publisher : Springer Nature
Page : 350 pages
File Size : 53,7 Mb
Release : 2019-10-30
Category : Computers
ISBN : 9783030168773

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Programming for Computations - Python by Svein Linge,Hans Petter Langtangen Pdf

This book is published open access under a CC BY 4.0 license. This book presents computer programming as a key method for solving mathematical problems. This second edition of the well-received book has been extensively revised: All code is now written in Python version 3.6 (no longer version 2.7). In addition, the two first chapters of the previous edition have been extended and split up into five new chapters, thus expanding the introduction to programming from 50 to 150 pages. Throughout the book, the explanations provided are now more detailed, previous examples have been modified, and new sections, examples and exercises have been added. Also, a number of small errors have been corrected. The book was inspired by the Springer book TCSE 6: A Primer on Scientific Programming with Python (by Langtangen), but the style employed is more accessible and concise, in keeping with the needs of engineering students. The book outlines the shortest possible path from no previous experience with programming to a set of skills that allows students to write simple programs for solving common mathematical problems with numerical methods in the context of engineering and science courses. The emphasis is on generic algorithms, clean program design, the use of functions, and automatic tests for verification.

Isogeometric Analysis and Applications 2018

Harald van Brummelen,Cornelis Vuik,Matthias Möller,Clemens Verhoosel,Bernd Simeon,Bert Jüttler
Isogeometric Analysis and Applications 2018 Book PDF

Author : Harald van Brummelen,Cornelis Vuik,Matthias Möller,Clemens Verhoosel,Bernd Simeon,Bert Jüttler
Publisher : Springer Nature
Page : 279 pages
File Size : 49,6 Mb
Release : 2021-01-13
Category : Mathematics
ISBN : 9783030498368

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Isogeometric Analysis and Applications 2018 by Harald van Brummelen,Cornelis Vuik,Matthias Möller,Clemens Verhoosel,Bernd Simeon,Bert Jüttler Pdf

This proceedings volume gathers a selection of outstanding research papers presented at the third Conference on Isogeometric Analysis and Applications, held in Delft, The Netherlands, in April 2018. This conference series, previously held in Linz, Austria, in 2012 and Annweiler am Trifels, Germany, in 2014, has created an international forum for interaction between scientists and practitioners working in this rapidly developing field. Isogeometric analysis is a groundbreaking computational approach that aims to bridge the gap between numerical analysis and computational geometry modeling by integrating the finite element method and related numerical simulation techniques into the computer-aided design workflow, and vice versa. The methodology has matured over the last decade both in terms of our theoretical understanding, its mathematical foundation and the robustness and efficiency of its practical implementations. This development has enabled scientists and practitioners to tackle challenging new applications at the frontiers of research in science and engineering and attracted early adopters for this his novel computer-aided design and engineering technology in industry. The IGAA 2018 conference brought together experts on isogeometric analysis theory and application, share their insights into challenging industrial applications and to discuss the latest developments as well as the directions of future research and development that are required to make isogeometric analysis an established mainstream technology.

Domain Decomposition Methods in Science and Engineering XXIV

Petter E. Bjørstad,Susanne C. Brenner,Lawrence Halpern,Hyea Hyun Kim,Ralf Kornhuber,Talal Rahman,Olof B. Widlund
Domain Decomposition Methods in Science and Engineering XXIV Book PDF

Author : Petter E. Bjørstad,Susanne C. Brenner,Lawrence Halpern,Hyea Hyun Kim,Ralf Kornhuber,Talal Rahman,Olof B. Widlund
Publisher : Springer
Page : 570 pages
File Size : 42,5 Mb
Release : 2019-01-05
Category : Mathematics
ISBN : 9783319938738

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Domain Decomposition Methods in Science and Engineering XXIV by Petter E. Bjørstad,Susanne C. Brenner,Lawrence Halpern,Hyea Hyun Kim,Ralf Kornhuber,Talal Rahman,Olof B. Widlund Pdf

These are the proceedings of the 24th International Conference on Domain Decomposition Methods in Science and Engineering, which was held in Svalbard, Norway in February 2017. Domain decomposition methods are iterative methods for solving the often very large systems of equations that arise when engineering problems are discretized, frequently using finite elements or other modern techniques. These methods are specifically designed to make effective use of massively parallel, high-performance computing systems. The book presents both theoretical and computational advances in this domain, reflecting the state of art in 2017.