The regulation of cellular systems:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Chapman & Hall [u.a.]
1996
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIX, 372 S. graph. Darst. |
| ISBN: | 0412032619 |
Internformat
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| 650 | 7 | |a régulation |2 inriac | |
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| 650 | 4 | |a Cell metabolism |x Regulation |x Mathematical models | |
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Datensatz im Suchindex
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|---|---|
| adam_text | THE DEGULATION OF
(^ELLULAR CYSTEMS
REINHART HEINRICH AND STEFAN SCHUSTER
E3
CHAPMAN amp; HALL
International Thomson Publishing
New York • Albany * Bonn • Boston • Cincinnati • Detroit * London • Madrid • Melbourne
Mexico City • Pacific Crove • Paris * San Francisco • Singapore • Tokyo • Toronto • Washington
Contents
Dedication vi
Preface xiii
Symbols xvii
1 INTRODUCTION 1
2 FUNDAMENTALS OF BIOCHEMICAL MODELING 9
2 1 Balance Equations 10
2 2 Rate Laws 14
221 Generalized Mass-Action Kinetics 14
222 Various Enzyme-Kinetic Rate Laws 17
223 Thermodynamic Flow-Force Relationships 28
224 Power-Law Approximation 36
2 3 Steady States of Biochemical Networks 38
231 General Considerations 38
232 Stable and Unstable Steady States 40
233 Multiple Steady States 46
2 4 Metabolic Oscillations 52
241 Background 52
vii
viii Contents
242 Mathematical Conditions for Oscillations S3
243 Glycolytic Oscillations 55
244 Models of Intracellular Calcium Oscillations 59
245A Simple Three-Variable Model with Only 66
Monomolecular and Bimolecular Reactions
246 Possible Physiological Significance of Oscillations 71
3 STOICHIOMETRIC ANALYSIS 75
3 1 Conservation Relations 78
311 Linear Dependencies Between the Rows of the 78
Stoichiometry Matrix
312 Non-negative Conservation Relations 80
313 Conserved Moieties 87
3 2 Admissible Steady-State Vectors and the Null-Space 91
321 Linear Dependencies Between the Columns of the 91
Stoichiometry Matrix
322 Block-Diagonalization of the Null-Space Matrix 92
323 Non-negative Flux Vectors 94
324 Elementary Flux Modes 95
3 3 Thermodynamic Aspects 102
331A Generalized Wegscheider Condition 102
332 Strictly Detailed Balanced Subnetworks 109
333 Onsager s Reciprocity Relations for Coupled Enzyme 110
Reactions
4 TIME HIERARCHY IN METABOLISM 112
4 1 Time Constants of Metabolic Processes 112
4 2 The Quasi-Steady-State Approximation 116
4 3 The Rapid-Equilibrium Approximation 123
4 4 Modal Analysis 134
5 METABOLIC CONTROL ANALYSIS 138
5 1 Basic Definitions 139
52A Systematic Approach 141
Contents ix
5 3 Theorems of Metabolic Control Analysis 148
531 Summation Theorems 148
532 Connectivity Theorems 150
533 Calculation of Control Coefficients Using the 151
Theorems
534 Geometrical Interpretation 153
5 4 Control Analysis of Various Systems 155
541 General Remarks 155
542 Elasticity Coefficients for Specific Rate Laws 156
543 Control Coefficients for Simple Hypothetical 160
Pathways
5431 Unbranched Chains 160
5432A Branched System 169
544 Control of Erythrocyte Energy Metabolism 170
5441 The Reaction System 170
5442 Basic Model 171
5443 Interplay of ATP Production and ATP 177
Consumption
5444 Glycolytic Energy Metabolism and Osmotic 188
States
545A Simple Model of Oxidative Phosphorylation 192
546A Three-Step Model of Serine Biosynthesis 196
5 5 Time-Dependent Control Coefficients 198
5 6 Are Control Coefficients Always Parameter Independent? 204
561 Posing the Problem 204
562A System Without Conserved Moieties 204
563A System with a Conserved Moiety 206
564A System Including Dynamic Channeling 210
5 7 Normalized Versus Non-normalized Coefficients 212
5 8 Analysis in Terms of Variables Other Than 216
Concentrations and Fluxes
581 General Analysis 216
582 Concentration Ratios and Free-Energy Differences as 221
State Variables
x Contents
583 Entropy Production as a Response Variable 222
584 Control of Transient Times 223
585 Control of Oscillations 230
59A Second-Order Approach 233
5 10 Metabolic Regulation from the Viewpoint of Control 240
Analysis
5 10 1 Coresponse Coefficients 240
5 10 2 Fluctuations of Internal Variables Versus Parameter 243
Perturbations
5 10 3 Internal Response Coefficients 245
5 10 4 Rephrasing the Basic Equations of Metabolic Control 247
Analysis in Terms of Coresponse Coefficients and
Internal Response Coefficients
5 11 Control Within and Between Subsystems 249
5 12 Modular Approach 256
5 12 1 Overall Elasticities 256
5 12 2 Overall Control Coefficients 261
5 13 Flux Control Insusceptibility 267
5 14 Control Exerted by Elementary Steps in Enzyme Catalysis 273
5 15 Control Analysis of Metabolic Channeling 278
5 16 Comparison of Metabolic Control Analysis and Power- 283
Law Formalism
5 17 Computational Aspects 288
6 APPLICATION OF OPTIMIZATION METHODS AND THE 292
INTERRELATION WITH EVOLUTION
6 1 Optimization of the Catalytic Properties of Single 295
Enzymes
611 Basic Assumptions 295
612 Optimal Values of Elementary Rate Constants 298
613 Optimal Michaelis Constants 307
6 2 Optimization of Multienzyme Systems 309
621 Maximization of Steady-State Flux 309
Contents xi
622 Influence of Osmotic Constraints and Minimization 316
of Intermediate Concentrations
623 Minimization of Transient Times 322
6 3 Optimal Stoichiometrics 325
631 Optimal Properties of the Pentose Phosphate Pathway 326
632 Optimal Location of ATP-Consuming and ATP- 327
Producing Reactions in Glycolysis
633 Concluding Remarks 340
References 343
Index 367
|
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| indexdate | 2024-07-09T18:01:21Z |
| institution | BVB |
| isbn | 0412032619 |
| language | English |
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| spelling | Heinrich, Reinhart 1946-2006 Verfasser (DE-588)12838784X aut The regulation of cellular systems Reinhart Heinrich and Stefan Schuster New York [u.a.] Chapman & Hall [u.a.] 1996 XIX, 372 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Régulation cellulaire - Modèles mathématiques ram biologie cellulaire inriac enzyme inriac métabolisme inriac régulation inriac Mathematisches Modell Cell metabolism Regulation Mathematical models Control theory Regulation (DE-588)4049075-0 gnd rswk-swf Zelle (DE-588)4067537-3 gnd rswk-swf Biomathematik (DE-588)4139408-2 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Stoffwechsel (DE-588)4057699-1 gnd rswk-swf Zelle (DE-588)4067537-3 s Regulation (DE-588)4049075-0 s Biomathematik (DE-588)4139408-2 s DE-604 Mathematisches Modell (DE-588)4114528-8 s Stoffwechsel (DE-588)4057699-1 s Schuster, Stefan Verfasser aut HEBIS Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007315361&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Heinrich, Reinhart 1946-2006 Schuster, Stefan The regulation of cellular systems Régulation cellulaire - Modèles mathématiques ram biologie cellulaire inriac enzyme inriac métabolisme inriac régulation inriac Mathematisches Modell Cell metabolism Regulation Mathematical models Control theory Regulation (DE-588)4049075-0 gnd Zelle (DE-588)4067537-3 gnd Biomathematik (DE-588)4139408-2 gnd Mathematisches Modell (DE-588)4114528-8 gnd Stoffwechsel (DE-588)4057699-1 gnd |
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| title | The regulation of cellular systems |
| title_auth | The regulation of cellular systems |
| title_exact_search | The regulation of cellular systems |
| title_full | The regulation of cellular systems Reinhart Heinrich and Stefan Schuster |
| title_fullStr | The regulation of cellular systems Reinhart Heinrich and Stefan Schuster |
| title_full_unstemmed | The regulation of cellular systems Reinhart Heinrich and Stefan Schuster |
| title_short | The regulation of cellular systems |
| title_sort | the regulation of cellular systems |
| topic | Régulation cellulaire - Modèles mathématiques ram biologie cellulaire inriac enzyme inriac métabolisme inriac régulation inriac Mathematisches Modell Cell metabolism Regulation Mathematical models Control theory Regulation (DE-588)4049075-0 gnd Zelle (DE-588)4067537-3 gnd Biomathematik (DE-588)4139408-2 gnd Mathematisches Modell (DE-588)4114528-8 gnd Stoffwechsel (DE-588)4057699-1 gnd |
| topic_facet | Régulation cellulaire - Modèles mathématiques biologie cellulaire enzyme métabolisme régulation Mathematisches Modell Cell metabolism Regulation Mathematical models Control theory Regulation Zelle Biomathematik Stoffwechsel |
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