Preface |
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XVII | |
Part One Introduction to Systems Biology |
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1.1 Biology in Time and Space |
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1.2.2 Purpose and Adequateness of Models |
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1.2.3 Advantages of Computational Modeling |
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1.3 Basic Notions for Computational Models |
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1.3.4 Variables, Parameters, and Constants |
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1.3.6 Model Classification |
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1.3.8 Model Assignment is not Unique |
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2 Modeling of Biochemical Systems |
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2.1 Kinetic Modeling of Enzymatic Reactions |
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2.1.1 The Law of Mass Action |
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2.1.2 Reaction Kinetics and Thermodynamics |
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2.1.3 MichaelisMenten Kinetics |
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2.1.3.1 How to Derive a Rate Equation |
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2.1.3.2 Parameter Estimation and Linearization of the MichaelisMenten Equation |
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2.1.3.3 The MichaelisMenten Equation for Reversible Reactions |
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2.1.4 Regulation of Enzyme Activity by Effectors |
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2.1.4.1 Substrate Inhibition |
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2.1.4.2 Binding of Ligands to Proteins |
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2.1.4.3 Positive Homotropic Cooperativity and the Hill Equation |
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2.1.4.4 The MonodWymanChangeux Model for Sigmoid Kinetics |
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2.1.5 Generalized Mass Action Kinetics |
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2.1.6 Approximate Kinetic Formats |
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2.1.7 Convenience Kinetics |
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2.2 Structural Analysis of Biochemical Systems |
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2.2.2 Information Encoded in the Stoichiometric Matrix N |
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2.2.3 Elementary Flux Modes and Extreme Pathways |
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2.2.4 Conservation Relations: Null Space of NT |
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2.3 Kinetic Models of Biochemical Systems |
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2.3.1 Describing Dynamics with ODEs |
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2.3.1.2 Linearization of Autonomous Systems |
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2.3.1.3 Solution of Linear ODE Systems |
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2.3.1.4 Stability of Steady States |
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2.3.1.5 Global Stability of Steady States |
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2.3.2 Metabolic Control Analysis |
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2.3.2.1 The Coefficients of Control Analysis |
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2.3.2.2 The Elasticity Coefficients |
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2.3.2.3 Control Coefficients |
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2.3.2.4 Response Coefficients |
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2.3.2.5 Matrix Representation of the Coefficients |
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2.3.2.6 The Theorems of Metabolic Control Theory |
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2.3.2.7 The Summation Theorems |
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2.3.2.8 The Connectivity Theorems |
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2.3.2.9 Derivation of Matrix Expressions for Control Coefficients |
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2.4 Tools and Data Formats for Modeling |
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2.4.1 Simulation Techniques |
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2.4.1.2 Cellular Automata |
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2.4.3.1 Systems Biology Markup Language |
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2.4.3.3 Systems Biology Graphical Notation |
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2.4.3.4 Standards for Systems Biology |
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2.4.4.1 Pathway Databases |
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2.4.4.2 Databases of Kinetic Data |
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3 Specific Biochemical Systems |
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3.1.1 Basic Elements of Metabolic Modeling |
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3.1.2 Toy Model of Upper Glycolysis |
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3.1.3 Threonine Synthesis Pathway Model |
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3.2.2 Function and Structure of Intra- and Intercellular Communication |
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3.2.3 ReceptorLigand Interactions |
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3.2.4 Structural Components of Signaling Pathways |
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3.2.4.3 Phosphorelay Systems |
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3.2.4.4 MAP Kinase Cascades |
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3.2.4.5 Jak/Stat Pathways |
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3.2.5 Signaling Dynamic and Regulatory Features |
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3.2.5.1 Quantitative Measures for Properties of Signaling Pathways |
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3.2.5.2 Crosstalk in Signaling Pathways |
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3.3.2 Minimal Cascade Model of a Mitotic Oscillator |
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3.3.3 Models of Budding Yeast Cell Cycle |
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3.3.4 Modeling Nucleo/Cytoplasmatic Compartmentalization |
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3.4.1 Types of Spatial Models |
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3.4.1.1 Compai talent Models and Partial Differential Equations |
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3.4.1.2 Stochastic Models |
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3.4.1.3 Cellular Automata |
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3.4.3 ReactionDiffusion Systems |
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3.4.3.1 The Diffusion Equation |
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3.4.3.2 Solutions of the Diffusion Equation |
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3.4.3.3 ReactionDiffusion Equation |
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3.4.4 Pattern Formation in Tissue Development |
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3.4.5 Spontaneous Pattern Formation |
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3.5.1 Molecular Biology of Apoptosis |
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3.5.2 Modeling of Apoptosis |
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4.1 Data for Small Metabolic and Signaling Systems |
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4.1.1 Databases for Kinetic Modeling |
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4.1.2 Measuring Promoter Activities Using GFP Reporter Genes |
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4.2.2.1 Method of Least Squares and Maximum-Likelihood Estimation |
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4.2.6 Bayesian Parameter Estimation |
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4.2.7 Local and Global Optimization |
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4.2.7.1 Local Optimization |
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4.2.7.2 Global Optimization |
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4.2.7.4 Genetic Algorithms |
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4.3 Reduction and Coupling of Models |
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4.3.1 Model Simplification |
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164 | |
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4.3.2 Tacit Model Assumptions |
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4.3.3 Reduction of Fast Processes |
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4.3.3.2 Time-Scale Separation |
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4.3.4 Global Model Reduction |
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4.3.4.1 Linearized Biochemical Models |
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4.3.4.2 Linear Relaxation Modes |
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4.3.5 Coupled Systems and Emergent Behavior |
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4.3.6 Modeling of Coupled Systems |
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4.3.6.1 Bottom-Up and Top-Down Modeling |
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4.3.6.2 Modeling the System Boundary |
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4.3.6.3 Coupling of Submodels |
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4.4.1 What is a Good Model? |
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4.4.2 Statistical Tests and Model Selection |
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4.4.3 Maximum-Likelihood Estimation and x2-Test |
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4.4.5 Likelihood Ratio Test |
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4.4.7 Bayesian Model Selection |
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4.4.8 Cycle of Experiments and Modeling |
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4.4.9 Models are Growing in Complexity |
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5 Analysis of High-Throughput Data |
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5.1 High-Throughput Experiments |
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5.1.1 DNA Array Platforms |
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5.1.2 Platform Comparison |
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5.1.3 Next Generation Sequencing |
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5.1.4 Image Analysis and Data Quality Control |
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5.1.4.2 Spot Quantification |
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5.1.5.3 Nonlinear and Spatial Effects |
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5.2 Analysis of Gene Expression Data |
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5.2.1 Planning and Designing Experiments for Case-Control Studies |
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5.2.2 Tests for Differential Expression |
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5.2.2.2 Next Generation Sequencing |
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5.2.5 Clustering Algorithms |
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5.2.5.1 Hierarchical Clustering |
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5.2.5.2 Self-Organizing Maps (SOMs) |
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5.2.7 Overrepresentation and Enrichment Analyses |
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5.2.8 Classification Methods |
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5.2.8.1 Support Vector Machines |
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6.1 Mechanisms of Gene Expression Regulation |
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6.1.1 Transcription-Factor Initiated Gene Regulation |
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6.1.2 General Promoter Structure |
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6.1.3 Prediction and Analysis of Promoter Elements |
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6.1.3.1 Sequence-Based Analysis |
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6.1.3.2 Approaches that Incorporate Additional Information |
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6.1.4 Posttranscriptional Regulation Through microRNAs |
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6.1.4.1 Identification of microRNAs in the Genome Sequence |
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6.1.4.2 MicroRNA Target Prediction |
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6.1.4.3 Experimental Implications RNA Interference |
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6.2 Gene Regulation Functions |
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6.2.1 The Lac Operon in Escherichia coli |
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6.2.2 Gene Regulation Functions Derived from Equilibrium Binding |
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6.2.3 Occupation Probability Derived from Statistical Thermodynamics |
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6.2.4 Gene Regulation Function of the Lac Operon |
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6.2.5 Transcriptional Regulation in Larger Networks |
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6.2.6 Network Component Analysis |
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6.3 Dynamic Models of Gene Regulation |
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6.3.1 One Gene Regulatory Network: Different Approaches |
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6.3.2 Representation of a Gene Regulatory Network as Graph |
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6.3.5 Description with Ordinary Differential Equations |
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6.3.6 Gene Expression Modeling with Stochastic Processes |
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7 Stochastic Systems and Variability |
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7.1 Stochastic Modeling of Biochemical Reactions |
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7.1.1 Chemical Random Process for Molecule Numbers |
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7.1.2 The Chemical Master Equation |
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7.1.3 Stochastic Simulation |
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7.1.3.2 Explicit r-Leaping Method |
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7.1.3.3 Stochastic Simulation and Spatial Models |
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7.1.4 The Chemical Langevin Equation |
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7.1.5 Deterministic and Stochastic Modeling Frameworks |
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7.1.6 Temporal Fluctuations |
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7.2 Fluctuations in Gene Expression |
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7.2.1 Stochastic Model of Transcription and Translation |
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7.2.1.1 Macroscopic Kinetic Model |
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7.2.1.2 Microscopic Stochastic Model |
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7.2.1.3 Fluctuations and Protein Bursts |
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7.2.2 Measuring the Intrinsic and Extrinsic Variability |
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7.2.3 Temporal Fluctuations in a Gene Cascade |
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7.2.3.1 Linear Model of Two Genes |
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7.2.3.2 Measuring the Time Correlations in Protein Levels |
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7.2.4 Biological Functions of Noise |
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7.2.4.2 Exploration Strategies |
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7.3 Variability and Uncertainty |
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7.3.1 Models with Uncertain Constant Parameters |
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7.3.2 Computing the Distribution of Output Variables |
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293 | |
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7.3.2.1 Monte Carlo Simulation |
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293 | |
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7.3.2.2 Approximation for Narrow Parameter Distributions |
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294 | |
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7.3.2.3 Temporal Parameter Fluctuations |
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295 | |
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7.3.3 Uncertainty Analysis of Biochemical Models |
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7.3.3.1 Sampling of Reaction Elasticities |
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7.3.4 Distributions for Kinetic Parameters |
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7.3.4.1 Principle of Minimal Information |
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7.3.4.2 Thermodynamic Constraints on Parameters |
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299 | |
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7.3.4.3 Obtaining Parameter Distributions from Experimental Data |
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299 | |
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7.4.1 Robustness Properties in Biochemical Systems |
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7.4.1.1 Biological Robustness Properties |
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301 | |
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7.4.1.2 Mathematical Robustness Criteria |
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7.4.1.3 Precise Robustness in a Bacterial Two-Component System |
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7.4.2 Structural Robustness in Large Networks |
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7.4.3 Quantitative Robustness by Feedback |
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7.4.3.1 Negative Feedback |
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7.4.3.2 Integral Feedback |
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7.4.4 Scaling Laws, Invariance, and Dimensional Analysis |
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7.4.5 Summation Laws and Homogeneous Functions |
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7.4.5.1 Summation Theorems |
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7.4.5.2 Conservation Laws for Sensitivity |
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308 | |
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7.4.5.3 Compensation of Correlated Fluctuations |
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7.4.6 Robustness and Evolvability |
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7.4.7 Robustness and Modeling |
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8 Network Structures, Dynamics, and Function |
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8.1 Structure of Biochemical Networks |
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315 | |
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8.1.1 Mathematical Graphs |
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317 | |
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8.1.2.1 ErdeisRenyi Random Graphs |
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8.1.2.2 Geometric Random Graphs |
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8.1.2.3 Random Graphs with Predefined Degree Sequence |
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319 | |
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8.1.3 Scale-Free Networks |
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319 | |
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8.1.4 Clustering and Local Structure |
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321 | |
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8.1.4.1 Clustering Coefficient |
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321 | |
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8.1.4.2 Small-World Networks |
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321 | |
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322 | |
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8.1.6 Structure of Metabolic Networks |
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8.1.7 The Network Picture |
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324 | |
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8.2.1 Transcription Networks and Network Motifs |
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326 | |
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8.2.2 Single Regulation Arrows and Their Steady-State Response |
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328 | |
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329 | |
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8.2.6 Dynamic Model of the Feed-Forward Loop |
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8.2.7 Dynamics and Function of Network Motifs |
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8.3.1 Modularity as a Fact or as an Assumption |
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336 | |
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8.3.2 Aspects of Modularity. Structure, Function, Dynamics, Regulation, and Genetics |
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337 | |
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8.3.3 Structural Modules in Cellular Networks |
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8.3.4 Modular Response Analysis |
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338 | |
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8.3.5 Functional Modules Detected by Epistasis |
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8.3.6 Evolution of Modularity and Complexity |
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8.3.6.1 Tinkering and Engineering |
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341 | |
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8.3.6.2 Analogy in Evolution |
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8.3.6.3 Modularity, Robustness, and Evolvability |
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342 | |
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9 Optimality and Evolution |
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349 | |
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9.1 Optimality and Constraint-Based Models |
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349 | |
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9.1.1 Optimization by Evolution |
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9.1.2 Optimality Studies in Systems Biology |
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9.1.2.1 The Fitness Function |
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351 | |
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9.1.2.2 Optimality and Compromise |
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351 | |
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9.1.2.3 Cost-Benefit Calculations |
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351 | |
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9.1.2.4 Inequality Constraints |
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352 | |
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9.1.3 Constraint-Based Flux Optimization |
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9.1.3.1 Flux-Balance Analysis |
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353 | |
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9.1.3.2 Geometric Interpretation of Flux-Balance Analysis |
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354 | |
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9.1.4 Thermodynamic Constraints |
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355 | |
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9.1.5 Applications and Tests of Flux-Optimization Paradigm |
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356 | |
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9.2 Optimal Enzyme Concentrations |
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357 | |
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9.2.1 Optimization of Catalytic Properties of Single Enzymes |
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358 | |
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9.2.2 Optimal Distribution of Enzyme Concentrations in a Metabolic Pathway |
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360 | |
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9.2.3 Temporal Transcription Programs |
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363 | |
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9.3 Evolutionary Game Theory |
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367 | |
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9.3.1.1 HawkDove Game and Prisoner's Dilemma |
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369 | |
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9.3.1.2 Best Choices and Nash Equilibrium |
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370 | |
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9.3.2 Evolutionary Game Theory |
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371 | |
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9.3.3 Replicator Equation for Population Dynamics |
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9.3.3.1 The Replicator Equation |
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372 | |
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9.3.3.2 Outcomes of Frequency-Dependent Selection |
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372 | |
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9.3.4 Evolutionary Stable Strategies |
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9.3.5 Dynamical Behavior in the Rock-Scissors-Paper Game |
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9.3.6 Evolution of Cooperative Behavior |
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376 | |
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9.3.6.2 Other Scenarios for Evolution of Cooperation |
|
|
376 | |
|
9.3.7 Yield and Efficiency in Metabolism |
|
|
377 | |
|
9.3.7.1 Trade-off Between Fast and Efficient Energy Metabolism |
|
|
377 | |
|
9.3.7.2 Multicellularity Enables Cells to Profit from Respiration |
|
|
377 | |
|
|
379 | |
|
|
383 | |
|
|
383 | |
|
|
384 | |
|
10.3 Molecular Biology of the Cell |
|
|
387 | |
|
10.3.1 Chemical Bonds and Forces Important in Biological Molecules |
|
|
387 | |
|
10.3.2 Functional Groups in Biological Molecules |
|
|
390 | |
|
10.3.3 Major Classes of Biological Molecules |
|
|
391 | |
|
|
392 | |
|
|
392 | |
|
|
396 | |
|
|
400 | |
|
10.4 Structural Cell Biology |
|
|
402 | |
|
10.4.1 Structure and Function of Biological Membranes |
|
|
403 | |
|
|
406 | |
|
|
406 | |
|
|
407 | |
|
10.4.5 Endoplasmatic Reticulum and Golgi Complex |
|
|
408 | |
|
|
409 | |
|
|
410 | |
|
|
412 | |
|
10.5.2 Processing of the mRNA |
|
|
412 | |
|
|
413 | |
|
10.5.4 Protein Sorting and Posttranslational Modifications |
|
|
415 | |
|
10.5.5 Regulation of Gene Expression |
|
|
416 | |
|
|
417 | |
|
11 Experimental Techniques in Molecular Biology |
|
|
419 | |
|
|
420 | |
|
11.2 Restriction Enzymes and Gel Electrophoresis |
|
|
420 | |
|
11.3 Cloning Vectors and DNA Libraries |
|
|
422 | |
|
11.4 1D and 2D Protein Gels |
|
|
425 | |
|
11.5 Hybridization and Blotting Techniques |
|
|
427 | |
|
|
428 | |
|
|
429 | |
|
|
429 | |
|
11.5.4 In Situ Hybridization |
|
|
430 | |
|
11.6 Further Protein Separation Techniques |
|
|
430 | |
|
|
430 | |
|
11.6.2 Column Chromatography |
|
|
431 | |
|
11.6.3 Polymerase Chain Reaction |
|
|
432 | |
|
11.7 DNA and Protein Chips |
|
|
433 | |
|
|
433 | |
|
|
434 | |
|
11.8 Yeast Two-Hybrid System |
|
|
434 | |
|
|
435 | |
|
|
436 | |
|
|
437 | |
|
11.12 ChIP on Chip and ChIP-PET |
|
|
439 | |
|
11.13 Surface Plasmon Resonance |
|
|
441 | |
|
11.14 Population Heterogeneity and Single Entity Experiments |
|
|
442 | |
|
|
444 | |
|
|
449 | |
|
|
449 | |
|
|
449 | |
|
12.1.1.1 The Gaussian Elimination Algorithm |
|
|
451 | |
|
12.1.1.2 Systematic Solution of Linear Systems |
|
|
452 | |
|
|
454 | |
|
|
454 | |
|
12.1.2.2 Linear Dependency |
|
|
454 | |
|
12.1.2.3 Basic Matrix Operations |
|
|
454 | |
|
12.1.2.4 Dimension and Rank |
|
|
456 | |
|
12.1.2.5 Eigenvalues and Eigenvectors of a Square Matrix |
|
|
457 | |
|
12.2 Ordinary Differential Equations |
|
|
458 | |
|
12.2.1 Notions Regarding Differential Equations |
|
|
459 | |
|
12.2.2 Linearization of Autonomous Systems |
|
|
461 | |
|
12.2.3 Solution of Linear ODE Systems |
|
|
462 | |
|
12.2.4 Stability of Steady States |
|
|
463 | |
|
12.2.4.1 Global Stability of Steady States |
|
|
465 | |
|
|
466 | |
|
12.3 Difference Equations |
|
|
467 | |
|
12.4 Graph and Network Theory |
|
|
469 | |
|
|
471 | |
|
|
471 | |
|
|
473 | |
|
|
474 | |
|
|
475 | |
|
13.1 Basic Concepts of Probability Theory |
|
|
475 | |
|
13.1.1 Random Variables, Densities, and Distribution Functions |
|
|
478 | |
|
13.1.2 Transforming Probability Densities |
|
|
481 | |
|
13.1.3 Product Experiments and Independence |
|
|
482 | |
|
|
483 | |
|
13.2 Descriptive Statistics |
|
|
483 | |
|
13.2.1 Statistics for Sample Location |
|
|
484 | |
|
13.2.2 Statistics for Sample Variability |
|
|
485 | |
|
13.2.3 Density Estimation |
|
|
486 | |
|
13.2.4 Correlation of Samples |
|
|
487 | |
|
13.3 Testing Statistical Hypotheses |
|
|
488 | |
|
13.3.1 Statistical Framework |
|
|
489 | |
|
13.3.2 Two Sample Location Tests |
|
|
491 | |
|
|
493 | |
|
|
493 | |
|
13.4.2 Multiple Linear Regression |
|
|
495 | |
|
13.5 Principal Component Analysis |
|
|
496 | |
|
|
499 | |
|
|
501 | |
|
14.1 Basic Notions for Random Processes |
|
|
501 | |
|
14.1.1 Reduced and Conditional Distributions |
|
|
503 | |
|
|
505 | |
|
|
506 | |
|
14.3 Jump Processes in Continuous Time: The Master Equation |
|
|
507 | |
|
14.4 Continuous Random Processes |
|
|
508 | |
|
14.4.1 Langevin Equations |
|
|
508 | |
|
14.4.2 The FokkerPlanck Equation |
|
|
509 | |
|
|
510 | |
|
15 Control of Linear Systems |
|
|
511 | |
|
15.1 Linear Dynamical Systems |
|
|
511 | |
|
|
512 | |
|
15.2.1 Random Fluctuations and Spectral Density |
|
|
514 | |
|
15.3 The Gramian Matrices |
|
|
515 | |
|
|
517 | |
|
16.1 Databases of the National Center for Biotechnology |
|
|
517 | |
|
16.2 Databases of the European Bioinformatics Institute |
|
|
518 | |
|
16.2.1 EMBL Nucleotide Sequence Database |
|
|
519 | |
|
|
519 | |
|
|
519 | |
|
16.3 Swiss-Prot, TrEMBL, and UniProt |
|
|
520 | |
|
|
520 | |
|
|
521 | |
|
|
521 | |
|
|
524 | |
|
|
524 | |
|
|
525 | |
|
|
527 | |
|
|
527 | |
|
17.2 Mathematica and Matlab |
|
|
528 | |
|
17.2.1 Mathematica Example |
|
|
530 | |
|
|
531 | |
|
|
532 | |
|
17.4 Systems Biology Workbench |
|
|
534 | |
|
|
536 | |
|
|
551 | |
Index |
|
553 | |