Foundations of chemical reaction network theory. ([2019])

• Record Type: Book
• Further Information: Note: Martin Feinberg.
• Other Names: Feinberg, M (Martin), 1942-
• 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 ``Regular'' 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
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2019
• Extent: 1 online resource
• Subjects: 541.39; Chemical reactions -- Mathematics; Cheminformatics; SCIENCE / Chemistry / Physical & Theoretical; Electronic books
• Languages: English
• ISBNs: 9783030038588; 3030038580
• Related ISBNs: 9783030038571; 3030038572
• Notes: Note: Includes bibliographical references and index.; Note: Description based on online resource; title from digital title page (viewed on March 01, 2019).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.