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The Resource Foundations of chemical reaction network theory, Martin Feinberg, (electronic book)

Foundations of chemical reaction network theory, Martin Feinberg, (electronic book)

Work
Publication
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
Instance
Label
Foundations of chemical reaction network theory
Title
Foundations of chemical reaction network theory
Statement of responsibility
Martin Feinberg
Creator
Subject
Language
eng
Member of
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)
Instantiates
Publication
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)
Publication
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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