The Resource Foundations of chemical reaction network theory, Martin Feinberg, (electronic book)
Foundations of chemical reaction network theory, Martin Feinberg, (electronic book)
Resource Information
The item Foundations of chemical reaction network theory, Martin Feinberg, (electronic book) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.This item is available to borrow from 1 library branch.
Resource Information
The item Foundations of chemical reaction network theory, Martin Feinberg, (electronic book) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.
This item is available to borrow from 1 library branch.
- Extent
- 1 online resource
- Contents
-
- Intro; Preface; Acknowledgments; Contents; Part I Preliminaries; 1 Anticipating the Big Picture: Some Clues; 1.1 The Strange Relationship of Mathematics and Chemistry; 1.1.1 The Differential Equations of Chemistry; 1.1.2 Is There a Mathematical Tradition in Chemistry?; 1.1.3 A Historical Puzzle; 1.2 Fruit Flies and Platypuses; 1.3 Chemical Education: The Tacit Doctrine of Stable ReactorBehavior; 1.4 Biochemistry Is Different from R̀̀egular'' Chemistry; 1.5 The Big Picture, Veiled; 2 Chemical and Notational Preliminaries; 2.1 How the Differential Equations of Chemistry Come About
- 2.1.1 General Kinetics2.1.2 Mass Action Kinetics; 2.1.3 Some Questions; 2.1.4 Our Long-Term Objectives; 2.2 About Setting and Notation; 2.2.1 What's the Problem?; 2.2.2 Core Notation; 2.2.3 A Special Case: The Vector Space Generatedby the Species; 3 Reaction Networks, Kinetics, and the Induced DifferentialEquations; 3.1 Reaction Networks; 3.2 Kinetics; 3.2.1 General Kinetics Revisited; 3.2.2 Mass Action Kinetics Revisited; 3.3 The Differential Equations for a Kinetic System; 3.4 Stoichiometric Compatibility
- 3.5 An Elementary Necessary Condition for the Existence of a Positive Equilibrium or a Cyclic Composition Trajectory Passing Through a Positive Composition3.6 About the Derivative of the Species-Formation-Rate Function; 3.7 Elementary Boundary Behavior of the Differential Equations: Where Can Equilibria and Cyclic Composition Trajectories Reside?; Appendix 3.A The Kinetic Subspace; 3.A.1 When the Kinetic Subspace Is Smaller than the Stoichiometric Subspace; 3.A.2 Should We Focus on the Kinetic Rather than the Stoichiometric Subspace?
- 3.A.2.1 Mass Action Systems for Which K ≠S Never Have That Property Robustly3.A.2.2 The Kinetic Subspace Is Not an Attribute of a Reaction Network; It Is an Attribute of a Particular Kinetic System; 3.A.3 Thinking (and Not Thinking) About the KineticSubspace; 4 Open Systems: Why Study Nonconservative and Otherwise Peculiar Reaction Networks?; 4.1 Conservative Networks; 4.2 Reaction Network Descriptions of Open Systems; 4.2.1 The Continuous-Flow Stirred-Tank Reactor (CFSTR); 4.2.2 Semi-Open Reactors: An Enzyme Example; 4.2.3 Reactors with Certain Species Concentrations Regarded Constant
- 4.2.4 Interconnected Cells4.3 Going Forward; 5 A Toy-Reaction-Network Zoo: Varieties of Behavior and Some Questions; 5.1 Multiple Stoichiometrically Compatible Equilibria and Unstable Equilibria; 5.1.1 The Horn and Jackson Example; 5.1.2 The Edelstein Example; 5.1.3 An Example Having Stoichiometric Compatibility Classes with Zero, One, and Two Positive Equilibria; 5.2 Symmetry Breaking; 5.2.1 Left-Handed and Right-Handed Molecules: Origins of Enantiomeric Excess; 5.2.2 Pattern Formation; 5.3 Cyclic Composition Trajectories; 5.3.1 The Lotka Example: Rabbits and Wolves
- Isbn
- 9783030038588
- Label
- Foundations of chemical reaction network theory
- Title
- Foundations of chemical reaction network theory
- Statement of responsibility
- Martin Feinberg
- Language
- eng
- Cataloging source
- YDX
- http://library.link/vocab/creatorDate
- 1942-
- http://library.link/vocab/creatorName
- Feinberg, M.
- Dewey number
- 541/.39
- Index
- index present
- LC call number
- QD501
- Literary form
- non fiction
- Nature of contents
-
- dictionaries
- bibliography
- Series statement
- Applied mathematical sciences
- Series volume
- volume 202
- http://library.link/vocab/subjectName
-
- Chemical reactions
- Cheminformatics
- Label
- Foundations of chemical reaction network theory, Martin Feinberg, (electronic book)
- Bibliography note
- Includes bibliographical references and index
- Contents
-
- Intro; Preface; Acknowledgments; Contents; Part I Preliminaries; 1 Anticipating the Big Picture: Some Clues; 1.1 The Strange Relationship of Mathematics and Chemistry; 1.1.1 The Differential Equations of Chemistry; 1.1.2 Is There a Mathematical Tradition in Chemistry?; 1.1.3 A Historical Puzzle; 1.2 Fruit Flies and Platypuses; 1.3 Chemical Education: The Tacit Doctrine of Stable ReactorBehavior; 1.4 Biochemistry Is Different from R̀̀egular'' Chemistry; 1.5 The Big Picture, Veiled; 2 Chemical and Notational Preliminaries; 2.1 How the Differential Equations of Chemistry Come About
- 2.1.1 General Kinetics2.1.2 Mass Action Kinetics; 2.1.3 Some Questions; 2.1.4 Our Long-Term Objectives; 2.2 About Setting and Notation; 2.2.1 What's the Problem?; 2.2.2 Core Notation; 2.2.3 A Special Case: The Vector Space Generatedby the Species; 3 Reaction Networks, Kinetics, and the Induced DifferentialEquations; 3.1 Reaction Networks; 3.2 Kinetics; 3.2.1 General Kinetics Revisited; 3.2.2 Mass Action Kinetics Revisited; 3.3 The Differential Equations for a Kinetic System; 3.4 Stoichiometric Compatibility
- 3.5 An Elementary Necessary Condition for the Existence of a Positive Equilibrium or a Cyclic Composition Trajectory Passing Through a Positive Composition3.6 About the Derivative of the Species-Formation-Rate Function; 3.7 Elementary Boundary Behavior of the Differential Equations: Where Can Equilibria and Cyclic Composition Trajectories Reside?; Appendix 3.A The Kinetic Subspace; 3.A.1 When the Kinetic Subspace Is Smaller than the Stoichiometric Subspace; 3.A.2 Should We Focus on the Kinetic Rather than the Stoichiometric Subspace?
- 3.A.2.1 Mass Action Systems for Which K ≠S Never Have That Property Robustly3.A.2.2 The Kinetic Subspace Is Not an Attribute of a Reaction Network; It Is an Attribute of a Particular Kinetic System; 3.A.3 Thinking (and Not Thinking) About the KineticSubspace; 4 Open Systems: Why Study Nonconservative and Otherwise Peculiar Reaction Networks?; 4.1 Conservative Networks; 4.2 Reaction Network Descriptions of Open Systems; 4.2.1 The Continuous-Flow Stirred-Tank Reactor (CFSTR); 4.2.2 Semi-Open Reactors: An Enzyme Example; 4.2.3 Reactors with Certain Species Concentrations Regarded Constant
- 4.2.4 Interconnected Cells4.3 Going Forward; 5 A Toy-Reaction-Network Zoo: Varieties of Behavior and Some Questions; 5.1 Multiple Stoichiometrically Compatible Equilibria and Unstable Equilibria; 5.1.1 The Horn and Jackson Example; 5.1.2 The Edelstein Example; 5.1.3 An Example Having Stoichiometric Compatibility Classes with Zero, One, and Two Positive Equilibria; 5.2 Symmetry Breaking; 5.2.1 Left-Handed and Right-Handed Molecules: Origins of Enantiomeric Excess; 5.2.2 Pattern Formation; 5.3 Cyclic Composition Trajectories; 5.3.1 The Lotka Example: Rabbits and Wolves
- Dimensions
- unknown
- Extent
- 1 online resource
- Form of item
- online
- Isbn
- 9783030038588
- Specific material designation
- remote
- System control number
-
- on1084409252
- (OCoLC)1084409252
- Label
- Foundations of chemical reaction network theory, Martin Feinberg, (electronic book)
- Bibliography note
- Includes bibliographical references and index
- Contents
-
- Intro; Preface; Acknowledgments; Contents; Part I Preliminaries; 1 Anticipating the Big Picture: Some Clues; 1.1 The Strange Relationship of Mathematics and Chemistry; 1.1.1 The Differential Equations of Chemistry; 1.1.2 Is There a Mathematical Tradition in Chemistry?; 1.1.3 A Historical Puzzle; 1.2 Fruit Flies and Platypuses; 1.3 Chemical Education: The Tacit Doctrine of Stable ReactorBehavior; 1.4 Biochemistry Is Different from R̀̀egular'' Chemistry; 1.5 The Big Picture, Veiled; 2 Chemical and Notational Preliminaries; 2.1 How the Differential Equations of Chemistry Come About
- 2.1.1 General Kinetics2.1.2 Mass Action Kinetics; 2.1.3 Some Questions; 2.1.4 Our Long-Term Objectives; 2.2 About Setting and Notation; 2.2.1 What's the Problem?; 2.2.2 Core Notation; 2.2.3 A Special Case: The Vector Space Generatedby the Species; 3 Reaction Networks, Kinetics, and the Induced DifferentialEquations; 3.1 Reaction Networks; 3.2 Kinetics; 3.2.1 General Kinetics Revisited; 3.2.2 Mass Action Kinetics Revisited; 3.3 The Differential Equations for a Kinetic System; 3.4 Stoichiometric Compatibility
- 3.5 An Elementary Necessary Condition for the Existence of a Positive Equilibrium or a Cyclic Composition Trajectory Passing Through a Positive Composition3.6 About the Derivative of the Species-Formation-Rate Function; 3.7 Elementary Boundary Behavior of the Differential Equations: Where Can Equilibria and Cyclic Composition Trajectories Reside?; Appendix 3.A The Kinetic Subspace; 3.A.1 When the Kinetic Subspace Is Smaller than the Stoichiometric Subspace; 3.A.2 Should We Focus on the Kinetic Rather than the Stoichiometric Subspace?
- 3.A.2.1 Mass Action Systems for Which K ≠S Never Have That Property Robustly3.A.2.2 The Kinetic Subspace Is Not an Attribute of a Reaction Network; It Is an Attribute of a Particular Kinetic System; 3.A.3 Thinking (and Not Thinking) About the KineticSubspace; 4 Open Systems: Why Study Nonconservative and Otherwise Peculiar Reaction Networks?; 4.1 Conservative Networks; 4.2 Reaction Network Descriptions of Open Systems; 4.2.1 The Continuous-Flow Stirred-Tank Reactor (CFSTR); 4.2.2 Semi-Open Reactors: An Enzyme Example; 4.2.3 Reactors with Certain Species Concentrations Regarded Constant
- 4.2.4 Interconnected Cells4.3 Going Forward; 5 A Toy-Reaction-Network Zoo: Varieties of Behavior and Some Questions; 5.1 Multiple Stoichiometrically Compatible Equilibria and Unstable Equilibria; 5.1.1 The Horn and Jackson Example; 5.1.2 The Edelstein Example; 5.1.3 An Example Having Stoichiometric Compatibility Classes with Zero, One, and Two Positive Equilibria; 5.2 Symmetry Breaking; 5.2.1 Left-Handed and Right-Handed Molecules: Origins of Enantiomeric Excess; 5.2.2 Pattern Formation; 5.3 Cyclic Composition Trajectories; 5.3.1 The Lotka Example: Rabbits and Wolves
- Dimensions
- unknown
- Extent
- 1 online resource
- Form of item
- online
- Isbn
- 9783030038588
- Specific material designation
- remote
- System control number
-
- on1084409252
- (OCoLC)1084409252
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.liverpool.ac.uk/portal/Foundations-of-chemical-reaction-network-theory/JOKU8tuPN5Y/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.liverpool.ac.uk/portal/Foundations-of-chemical-reaction-network-theory/JOKU8tuPN5Y/">Foundations of chemical reaction network theory, Martin Feinberg, (electronic book)</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.liverpool.ac.uk/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.liverpool.ac.uk/">University of Liverpool</a></span></span></span></span></div>