The Regulation of Cellular Systems / Edition 1

by Reinhart Heinrich, Stefan Schuster

Overview

There is no doubt that nowadays, biology benefits greatly from mathematics. In particular, cellular biology is, besides population dynamics, a field where techniques of mathematical modeling are widely used. This is reflected by the large number of journal articles and congress proceedings published every year on the dynamics of complex cellular processes. This applies, among others, to metabolic control analysis, where the number of articles on theoretical fundamentals and experimental applications has increased for about 15 years. Surprisingly, monographs and textbooks dealing with the modeling of metabolic systems are still exceptionally rare. We think that now time is ripe to fill this gap. This monograph covers various aspects of the mathematical description of enzymatic systems, such as stoichiometric analysis, enzyme kinetics, dynamical simulation, metabolic control analysis, and evolutionary optimization. We believe that, at present, these are the main approaches by which metabolic systems can be analyzed in mathematical terms. Although stoichiometric analysis and enzyme kinetics are classical fields tracing back to the beginning of our century, there are intriguing recent developments such as detection of elementary biochemical syn­ thesis routes and rate laws for the situation of metabolic channeling, which we have considered worth being included. Evolutionary optimization of metabolic systems is a rather new field with promising prospects. Its goal is to elucidate the structure and functions of these systems from an evolutionary viewpoint.

Product Details

ISBN-13:	9780412032615
Publisher:	Springer US
Publication date:	08/31/1996
Edition description:	1996
Pages:	372
Product dimensions:	5.98(w) x 9.02(h) x 0.35(d)
Age Range:	18 Years

Table of Contents

1. Introduction.- 2. Fundamentals of Biochemical Modeling.- 2.1. Balance Equations.- 2.2. Rate Laws.- 2.3. Steady States of Biochemical Networks.- 2.4. Metabolic Oscillations.- 3. Stoichiometric Analysis.- 3.1. Conservation Relations.- 3.2. Admissible Steady-State Vectors and the Null-Space.- 3.3. Thermodynamic Aspects.- 4. Time Hierarchy in Metabolism.- 4.1. Time Constants of Metabolic Processes.- 4.2. The Quasi-Steady-State Approximation.- 4.3. The Rapid-Equilibrium Approximation.- 4.4. Modal Analysis.- 5. Metabolic Control Analysis.- 5.1. Basic Definitions.- 5.2. A Systematic Approach.- 5.3. Theorems of Metabolic Control Analysis.- 5.4. Control Analysis of Various Systems.- 5.5. Time-Dependent Control Coefficients.- 5.6. Are Control Coefficients Always Parameter Independent?.- 5.7. Normalized Versus Non-normalized Coefficients.- 5.8. Analysis in Terms of Variables Other Than Concentrations and Fluxes.- 5.9. A Second-Order Approach.- 5.10. Metabolic Regulation from the Viewpoint of Control Analysis.- 5.11. Control Within and Between Subsystems.- 5.12. Modular Approach.- 5.13. Flux Control Insusceptibility.- 5.14. Control Exerted by Elementary Steps in Enzyme Catalysis.- 5.15. Control Analysis of Metabolic Channeling.- 5.16. Comparison of Metabolic Control Analysis and Power- Law Formalism.- 5.17. Computational Aspects.- 6. Application of Optimization Methods and the Interrelation with Evolution.- 6.1. Optimization of the Catalytic Properties of Single Enzymes.- 6.2. Optimization of Multienzyme Systems.- 6.3. Optimal Stoichiometrics.- References.

Editorial Reviews

...a must, if we want to obtain the unification of all the theories in matter of the regulation of complex cellular systems. - Cellular and Molecular Biology; ...a must, if we want to obtain the unification of all the theories in matter of the regulation of complex cellular systems. - Cellular and Molecular Biology; For specialists already concerned with the kinetic behaviour of the multi-enzyme systems, this is the book they need to have- Bulletin of Mathematical Biology

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