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1 Introduction to Quantitative Biology |
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1 | (10) |
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1.1 What Is (Modern) Quantitative Biology? |
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2 | (2) |
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1.2 Why Study Quantitative Biology? |
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4 | (1) |
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1.3 The Aim and Target of This Book |
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5 | (1) |
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1.4 Construction of Quantitative Models as a Goal of Quantitative Biology |
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6 | (5) |
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1.4.1 What Kind of Model Is a Good Model? |
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6 | (1) |
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1.4.2 The Need for Quantitative Models |
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7 | (1) |
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1.4.3 How Can We Make a Good Quantitative Model? |
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8 | (2) |
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10 | (1) |
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11 | (6) |
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2.1 Why We Deal with the Architectonics of the Cell (In This Book)? |
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12 | (1) |
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2.2 What Is Cell Architectonics? |
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12 | (1) |
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2.3 Objective #1: Mechanics of the Cell (Chap. 3) |
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13 | (1) |
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2.4 Objective #2: Diversity of the Cell (Chap. 7) |
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13 | (1) |
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2.5 Objective #3: Self-Organization of the Cell (Chap. 9) |
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13 | (1) |
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2.6 Objective #4: Development of the Cell over Time (Chap. 11) |
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14 | (3) |
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15 | (2) |
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17 | (12) |
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3.1 Mechanical Forces and Cellular Dynamics 4 |
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18 | (1) |
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3.2 Methods for Applying Force to Cellular Materials |
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18 | (2) |
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3.3 Mechanical Properties of Structures Inside the Cell |
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20 | (1) |
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3.4 Relationship Between Intracellular Deformation and Force: Elasticity, Viscosity, and Viscoelasticity |
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21 | (1) |
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3.5 Stress-Strain Relationship of Elastic Materials |
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21 | (2) |
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23 | (1) |
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23 | (1) |
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3.8 Equations for Describing Viscous Fluids |
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24 | (1) |
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3.9 Modeling Cell Behaviors Based on Cell Mechanics |
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24 | (5) |
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25 | (4) |
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4 Implementing Toy Models in Microsoft Excel |
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29 | (22) |
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4.1 Custom Makes All Things Easy |
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30 | (1) |
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4.2 The Toy Model: Centration of the Nucleus Inside a Cell |
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31 | (7) |
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4.2.1 Biological Background |
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31 | (2) |
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4.2.2 Constructing One-Dimensional Model for Nuclear Centration |
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33 | (5) |
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4.3 Calculating the Movement of the Nucleus |
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38 | (1) |
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4.4 Model Implementation in Microsoft Excel |
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38 | (13) |
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4.4.1 Implementation of Cytoplasmic Pulling Model |
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40 | (3) |
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4.4.2 Implementation of Pushing Model |
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43 | (2) |
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4.4.3 Implementation of Cortex Pulling Model |
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45 | (4) |
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49 | (2) |
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5 Implementing Toy Models in Python |
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51 | (10) |
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5.1 Why Do We Need to Learn Programming? |
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52 | (1) |
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52 | (1) |
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5.3 Getting Started with Python |
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53 | (1) |
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5.4 A Code to Simulate Nuclear Centration |
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53 | (8) |
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60 | (1) |
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6 Differential Equations to Describe Temporal Changes |
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61 | (14) |
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6.1 Why the Use of a Differential Equation? |
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62 | (2) |
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6.1.1 What Is a Differential Equation? |
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62 | (1) |
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6.1.2 Modeling a Biological Phenomenon Using Differential Equation |
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63 | (1) |
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6.2 What Differential Equations Convey |
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64 | (2) |
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64 | (1) |
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6.2.2 Stability of the Equilibrium Points: Linear Stability Analysis |
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64 | (2) |
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6.3 Solving Differential Equations |
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66 | (9) |
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6.3.1 Modeling Nuclear Centration Using Differential Equation |
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66 | (1) |
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6.3.2 Analytical Solutions |
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66 | (1) |
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6.3.3 Calculating the Consequences of Differential Equations Computationally: Euler and the Runge-Kutta Methods |
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67 | (2) |
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6.3.4 A Coding Example of the Runge-Kutta Method with Python |
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69 | (4) |
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73 | (2) |
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75 | (10) |
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7.1 Diversity of the Cell |
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75 | (1) |
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7.2 Diversity in Cell Size: Scaling Problems |
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76 | (1) |
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7.3 Diversity in Cellular Response Due to Fluctuations |
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77 | (2) |
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7.4 Diversity in Cell Arrangement Due to Spatial Restrictions |
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79 | (1) |
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7.5 Diversity in the Pattern of Cytoplasmic Streaming Due to Molecular Activities |
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79 | (3) |
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7.6 The Role of a Gene as a Switch |
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82 | (3) |
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82 | (3) |
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8 Randomness, Diffusion, and Probability |
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85 | (16) |
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86 | (3) |
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8.1.1 Why Should We Consider Randomness for Biological Processes? |
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86 | (1) |
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8.1.2 Modeling Random Motion with Python |
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86 | (3) |
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89 | (4) |
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8.2.1 Random Motion and Diffusion |
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89 | (3) |
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92 | (1) |
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8.3 Energy Landscape and Existing Probability |
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93 | (8) |
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8.3.1 Potential Energy and Energy Landscape |
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93 | (2) |
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8.3.2 Boltzmann Distribution |
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95 | (3) |
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8.3.3 Existing Probability |
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98 | (1) |
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99 | (2) |
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9 Self-Organization of the Cell |
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101 | (8) |
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9.1 Why Self-Organization? |
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102 | (1) |
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9.2 Mechanisms to Create Order |
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102 | (1) |
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9.3 Negative Feedback Regulation |
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103 | (1) |
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9.4 Positive Feedback Regulation |
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103 | (3) |
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9.4.1 Positive Feedback Plus Fluctuations |
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104 | (1) |
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9.4.2 Positive Feedback Plus Negative Feedback |
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104 | (2) |
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106 | (1) |
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9.6 Phase Separation in Cell Biology |
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106 | (3) |
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107 | (2) |
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10 Modeling Feedback Regulations |
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109 | (14) |
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10.1 Basic Knowledge to Model Feedback Regulations Using Differential Equation |
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110 | (6) |
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10.1.1 Modeling of Activation and Repression Using Hill Function |
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110 | (1) |
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10.1.2 Modeling Degradation |
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111 | (1) |
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10.1.3 Negative Feedback Regulations |
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111 | (4) |
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10.1.4 Linear Stability Analyses for Negative Feedback Models |
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115 | (1) |
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10.2 Reaction-Diffusion Mechanism Creating Biological Patterns |
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116 | (7) |
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10.2.1 An Example of a Reaction-Diffusion System |
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116 | (3) |
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10.2.2 Linear Stability Analysis for the Reaction-Diffusion System |
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119 | (3) |
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122 | (1) |
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11 Development of the Cell over Time (Perspectives) |
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123 | (6) |
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11.1 Development over Time: Temporal Changes from One Order to Another |
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124 | (1) |
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11.2 An Example: Development of Cell Arrangement over Time |
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124 | (1) |
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11.3 Models for Individual but Sequential Cell Orders |
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124 | (1) |
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11.4 Transition of Different Orders: Diversity in Time Scales |
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125 | (1) |
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125 | (4) |
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126 | (3) |
Index |
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129 | |