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Metabolic Networks, Elementary Flux Modes, and Polyhedral Cones, Daniel B. Szyld, Isaac Klapper, Kai Zhao


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Автор: Daniel B. Szyld, Isaac Klapper, Kai Zhao
Название:  Metabolic Networks, Elementary Flux Modes, and Polyhedral Cones
ISBN: 9781611976526
Издательство: Mare Nostrum (Eurospan)
Классификация:




ISBN-10: 1611976529
Обложка/Формат: Paperback
Страницы: 125
Вес: 0.29 кг.
Дата издания: 30.07.2021
Серия: Other titles in applied mathematics
Язык: English
Размер: 178 x 256 x 12
Ключевые слова: Geometry,Mathematical modelling,Maths for scientists,Science: general issues
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Поставляется из: Англии
Описание: Expositions of quantitative methods and algorithms for biological data tend to be scattered through the technical literature, often across different fields, and are thus awkward to assimilate. This book documents one example of this: the relationship between the cell biology idea of metabolic networks and the mathematical idea of polyhedral cones. Such cones can be used to describe the set of steady-state admissible fluxes through metabolic networks, and consequently have become important constructs in the field of microbiology.Via convex cone concepts, fundamental objects called elementary flux modes (EFMs) can be described mathematically. The fundamental algorithm of this relationship is the double description method, which has an extended history in the field of computational geometry. This monograph addresses its relatively recent use in the context of cellular metabolism. Metabolic Networks, Elementary Flux Modes, and Polyhedral Cones:Addresses important topics in the mathematical description of metabolic activity that have not previously appeared in unified form.Introduces a central topic of mathematical systems biology in a manner accessible to nonmathematicians with some mathematical and computational experience. Presents a careful study of the double description method, a fundamental algorithm of computational geometry, in the context of metabolic analysis.The core audience for this book includes mathematicians, engineers, and biologists interested in cell metabolism. Computational geometers will also find it of interest.
Дополнительное описание: Mathematical modelling|Science: general issues|Geometry|Maths for scientists



Simplicial Algorithms for Minimizing Polyhedral Functions

Автор: Osborne
Название: Simplicial Algorithms for Minimizing Polyhedral Functions
ISBN: 1107403502 ISBN-13(EAN): 9781107403505
Издательство: Cambridge Academ
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Цена: 6019.00 р.
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Описание: This book, first published in 2001, provides a general account of the development of simplicial algorithms. These include the ubiquitous simplex method of linear programming, widely used in industrial optimization and strategic decision making. They also include methods important in data analysis, such as problems involving very large data sets.

Multi-shell Polyhedral Clusters

Автор: Mircea Vasile Diudea
Название: Multi-shell Polyhedral Clusters
ISBN: 3319877283 ISBN-13(EAN): 9783319877280
Издательство: Springer
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Цена: 20962.00 р.
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Описание: This volume presents new methodologies and rationalizes existing methods that are used in the design of multi-shell polyhedral clusters. The author describes how the methods used are extended from 2D-operations on maps to 3D (and higher dimensional) Euclidean space. A variety of structures is designed and described in detail and classified giving rise to an atlas of multi-shell nanostructures. The book therefore sheds a new light on the field of crystal and quasicrystal structures, an important part of nanoscience and nanotechnology. The author goes on to show how the recently established methods are used for building complex multi-shell nanostructures and how this completes the existing information in the field. The atlas of such structures is completed with atomic coordinates (included as supplementary material). The content of this book gives a useful insight into structure elucidation and suggests new material synthesis.

Tight Polyhedral Submanifolds and Tight Triangulations

Автор: Wolfgang K?hnel
Название: Tight Polyhedral Submanifolds and Tight Triangulations
ISBN: 354060121X ISBN-13(EAN): 9783540601210
Издательство: Springer
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Цена: 3766.00 р.
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Описание: This volume is an introduction and a monograph about tight polyhedra. Particular emphasis is given to the interplay of varius special disciplines, such as geometry, elementary topology, combinatorics and convex polytopes.

Multi-shell Polyhedral Clusters

Автор: Mircea Vasile Diudea
Название: Multi-shell Polyhedral Clusters
ISBN: 3319641212 ISBN-13(EAN): 9783319641218
Издательство: Springer
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Цена: 20962.00 р.
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Описание: This volume presents new methodologies and rationalizes existing methods that are used in the design of multi-shell polyhedral clusters. The author goes on to show how the recently established methods are used for building complex multi-shell nanostructures and how this completes the existing information in the field.

Asymptotic Cones and Functions in Optimization and Variational Inequalities

Автор: Alfred Auslender; Marc Teboulle
Название: Asymptotic Cones and Functions in Optimization and Variational Inequalities
ISBN: 1441930361 ISBN-13(EAN): 9781441930361
Издательство: Springer
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Цена: 18167.00 р.
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Описание: This systematic and comprehensive account of asymptotic sets and functions develops a broad and useful theory in the areas of optimization and variational inequalities.


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