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1 | (20) |
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1.1 Signal Transducers Are Cellular Components That Act Mainly By Regulating Other Cellular Components |
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3 | (1) |
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1.2 The Signal Transduction Parts List Is Long |
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3 | (1) |
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1.3 Signal Transduction In Bacteria Is Accomplished By Short, (Mostly) Linear, (Mostly) Non-Interconnected Pathways |
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4 | (2) |
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1.4 The EGFR System Is Deep, Interconnected, And Complicated |
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6 | (5) |
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1.5 Complicated Systems Can Be Simplified By Assuming Modularity |
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11 | (2) |
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1.6 Ordinary Differential Equations Provide A Powerful Framework For Understanding Many Signaling Processes |
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13 | (1) |
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1.7 Theory Can Help Highlight The Commonalities Of Diverse Biological Phenomena |
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14 | (1) |
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1.8 Six Basic Types Of Response Are Seen Over And Over Again In Cell Signaling |
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15 | (2) |
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1.9 Five Or Six Basic Circuit Motifs Are Seen Over And Over Again In Signaling Systems |
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17 | (4) |
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19 | (1) |
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19 | (1) |
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20 | (1) |
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Chapter 2 Receptors 1: Monomeric Receptors And Ligands |
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21 | (18) |
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2.1 The β-Adrenergic Receptor Can Function As A Monomeric Receptor That Binds Monomeric Ligands |
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22 | (1) |
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2.2 Experiments Show The Receptor's Equilibrium And Dynamical Behaviors |
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23 | (1) |
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2.3 A Simple Binding-Dissociation Model Explains The Hyperbolic Equilibrium Response |
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24 | (3) |
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2.4 A Semilog Plot Expands The Range But Distorts The Graded Character Of The Response |
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27 | (1) |
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2.5 The System Approaches Equilibrium Exponentially |
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28 | (2) |
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2.6 Increasing The Association Rate Decreases F1/2; So Does Increasing The Dissociation Rate |
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30 | (1) |
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2.7 Going Up Is Faster Than Coming Down |
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31 | (1) |
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2.8 The Dissociation Rate Constant Determines The Half-Life And Mean Lifetime Of A Ligand-Receptor Complex |
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32 | (1) |
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2.9 Partial Agonists, Antagonists, And Inverse Agonists Can Be Explained By Assuming That Binding And Activation Occur In Distinct Steps |
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33 | (6) |
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37 | (1) |
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37 | (2) |
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Chapter 3 Receptors 2: Multimeric Receptors And Cooperativity |
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39 | (22) |
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40 | (1) |
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3.1 The Hill Equation Is A Simple Expression For The Equilibrium Binding Of Ligand Molecules To An Oligomeric Receptor |
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41 | (1) |
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3.2 The Hill Exponent Is A Measure Of How Switch-Like A Sigmoidal Response Is |
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42 | (2) |
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3.3 The Hill Equation Accounts For Hemoglobin's Oxygen Binding Pretty Well, But The Assumptions Underpinning The Model Are Dubious |
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44 | (1) |
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3.4 The More-Plausible Monod-Wyman-Changeux (MWC) Model Yields Sigmoidal Binding Curves |
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44 | (6) |
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3.5 The MWC Model Accounts For The Binding Of Oxygen To Hemoglobin, But Not The Binding Of EGF To The EGFR |
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50 | (2) |
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3.6 The KNF Model Can Account For Either Ultrasensitive Or Subsensitive Binding |
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52 | (2) |
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3.7 Response Sensitivity Is Customarily Defined In Fold-Change Terms |
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54 | (2) |
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3.8 The Relationship Between Binding And Activation Yields A Variety Of Possible Responses |
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56 | (5) |
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59 | (1) |
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60 | (1) |
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Chapter 4 Downstream Signaling 1: Stoichiometric Regulation |
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61 | (14) |
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Stoichiometric Regulation Inside The Cell |
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63 | (1) |
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4.1 In The High-Affinity Limit, Does A Hyperbolic Response Make Intuitive Sense? |
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63 | (1) |
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4.2 The Equilibrium Response Changes From Hyperbolic To Linear When Depletion Of The Upstream Regulator Is Not Negligible |
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63 | (2) |
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4.3 The Dynamical Response Is Similar Even When The Depletion Of The Upstream Regulator Is Not Negligible |
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65 | (1) |
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4.4 Ligand Depletion Plus Negative Cooperativity Can Produce A Threshold |
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66 | (3) |
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4.5 Stoichiometric Regulators Must Sometimes Compete With Stoichiometric Inhibitors |
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69 | (6) |
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72 | (1) |
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72 | (3) |
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Chapter 5 Downstream Signaling 2: Covalent Modification |
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75 | (30) |
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5.1 A Mass Action Phosphorylation-Dephosphorylation Cycle Yields A Michaelian Steady-State Response With Exponential Approach To The Steady State |
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77 | (1) |
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5.2 The Steady-State Response Of A Phosphorylation-Dephosphorylation Reaction With Michaelis-Menten Kinetics Can Be Ultrasensitive |
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78 | (2) |
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5.3 Rate-Balance Plots Are Much Like The Economist's Supply-And-Demand Plots |
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80 | (1) |
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5.4 Rate-Balance Analysis Explains The Michaelian Steady-State Response |
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81 | (2) |
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5.5 The Dynamics Of The System Can Also Be Understood From The Rate-Balance Plot |
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83 | (1) |
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5.6 Rate-Balance Analysis Helps Explain Zero-Order Ultrasensitive |
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84 | (2) |
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5.7 Does Zero-Order Ultrasensitive Occur In Vivo? |
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86 | (1) |
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5.8 The Temporal Dynamics Of A Multistep Activation Process Tells You The Number Of Partially Rate-Determining Steps |
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87 | (2) |
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5.9 Assuming Mass Action Kinetics, Steady-State Multisite Phosphorylation Is Described By A Knf-Type Equation |
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89 | (3) |
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5.10 Priming Can Impart Positive Cooperativity On Multisite Phosphorylation |
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92 | (1) |
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5.11 Distributive Multisite Phosphorylation Improves Signaling Specificity |
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93 | (3) |
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5.12 Inessential Phosphorylation Sites Can Contribute To The Ultrasensitive |
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96 | (2) |
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5.13 Inessential Binding Sites Can Contribute To Ultrasensitive Receptor Activation |
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98 | (1) |
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5.14 Variation: Coherent Feed-Forward Regulation |
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99 | (2) |
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5.15 Variation: Reciprocal Regulation |
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101 | (4) |
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102 | (1) |
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103 | (2) |
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Chapter 6 Downstream Signaling 3: Regulated Production Or Destruction |
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105 | (8) |
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6.1 Stimulated Production Yields A Linear Steady-State Response With Exponential Approach To The Steady State |
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105 | (3) |
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6.2 The Stability Of The Steady State Can Be Quantified By The Exponent In The Exponential Approach Equation |
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108 | (1) |
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6.3 Saturating The Back Reaction Builds A Threshold Into The Steady-State Response |
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109 | (1) |
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6.4 Zero-Order Degradation Makes Drug Dosing Dicey |
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110 | (3) |
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112 | (1) |
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112 | (1) |
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Chapter 7 Cascades And Amplification |
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113 | (16) |
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113 | (1) |
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7.1 Cascades Can Deliver Signals Faster Than Single Signal Transducers |
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114 | (3) |
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7.2 A Cascade Of Michaelian Responses Leads To Signal Degradation |
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117 | (2) |
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7.3 Fold-Sensitivity Decreases As A Signal Descends A Cascade Of Michaelian Responses |
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119 | (1) |
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7.4 Ultrasensitive Can Restore Or Increase The Decisiveness Of A Signal |
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120 | (5) |
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7.5 In Xenopus Oocyte Extracts, Responses Get More Ultrasensitive As The Mapk Cascade Is Descended |
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125 | (4) |
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126 | (1) |
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127 | (2) |
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Chapter 8 Bistability 1: Systems With One Time-Dependent Variable |
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129 | (18) |
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8.1 Cell Fate Induction Is Typically All-Or-None And Irreversible In Character |
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130 | (1) |
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8.2 Xenopus Oocyte Maturation Is An All-Or-None. Irreversible Process |
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131 | (1) |
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8.3 The Response Of Erk2 Is All-Or-None In Character |
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132 | (1) |
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8.4 There Is Positive Feedback In The Oocyte's Mapk Cascade |
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133 | (1) |
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8.5 The Response Of Erk2 To Progesterone Is Normally Irreversible |
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133 | (1) |
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8.6 The Mos/Erk2 System Can Be Reduced To A Model With A Single Time-Dependent Variable Because Of A Separation Of Time Scales |
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134 | (1) |
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8.7 Rate-Balance Analysis Shows What Is Required For A Bistable Response |
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135 | (2) |
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8.8 Increasing The Progesterone Concentration Pushes The System Through A Saddle-Node Bifurcation |
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137 | (3) |
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8.9 Tweaking The Model Can Change An Irreversible Response To A Hysteretic One |
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140 | (1) |
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8.10 The Dynamics Of The System Can Be Inferred From The Rate-Balance Plot |
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141 | (1) |
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8.11 The Velocity Vector Field Can Be Represented As A Potential Landscape |
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142 | (5) |
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144 | (1) |
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145 | (2) |
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Chapter 9 Bistability 2: Systems With Two Time-Dependent Variables |
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147 | (16) |
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9.1 Two-Variable Positive Feedback And Double-Negative Feedback Loops Can Function As Bistable Switches |
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148 | (2) |
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9.2 Linear Stability Analysis Explains The Dynamics Of The System Near Each Of The Steady States |
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150 | (2) |
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9.3 To Apply Linear Stability Analysis To A Two-Variable System, We Calculate Eigenvectors And Eigenvalues |
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152 | (3) |
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9.4 The System Can Change Between States Via A Saddle-Node Bifurcation |
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155 | (1) |
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9.5 Double-Negative Feedback Plus Ultrasensitive Can Yield Bistability |
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156 | (2) |
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9.6 Perfect Symmetry Can Produce A Pitchfork Bifurcation |
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158 | (2) |
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9.7 In The Absence Of Perfect Symmetry, A Pitchfork Bifurcation Morphs Into A Saddle-Node Bifurcation |
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160 | (3) |
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160 | (1) |
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161 | (2) |
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Chapter 10 Transcritical Bifurcations In Phase Separation And Infectious Disease |
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163 | (16) |
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164 | (1) |
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10.1 Liquid-Liquid Phase Separation Can Produce Discrete Functional Domains That Lack Membranes |
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164 | (1) |
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10.2 Phase Separation Can Be Modeled By A Single Rate Equation With Positive Feedback And A Transcritical Bifurcation |
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165 | (3) |
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10.3 The Time Course Of Droplet Formation Is Sigmoidal |
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168 | (1) |
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10.4 The Same Principles Underpin The Formation Of Phospholipid Vesicles |
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169 | (1) |
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10.5 The Sir (Susceptible-Infected-Recovered) Model Explains Why Infectious Diseases Sometimes Spread Explosively |
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169 | (1) |
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10.6 The Sir Model Predicts Exponential Growth Followed By Exponential Decay |
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170 | (2) |
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10.7 The Basic Reproduction Number R0 Determines Whether An Infection Will Grow Exponentially |
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172 | (1) |
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10.8 The Proportion Of The Population That Will Ultimately Become Infected Depends On R0 |
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173 | (2) |
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10.9 Manipulating R0 Can Delay An Epidemic, Decrease The Peak, And Diminish The Final Number Of Infected Individuals |
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175 | (4) |
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176 | (1) |
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177 | (2) |
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Chapter 11 Negative Feedback 1: Stability And Speed |
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179 | (6) |
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179 | (1) |
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11.1 Negative Feedback Can Increase The Stability Of A Steady State |
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179 | (3) |
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11.2 Negative Feedback Can Allow A System To Respond More Quickly |
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182 | (3) |
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183 | (2) |
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185 | (1) |
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185 | (1) |
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12.1 Bacteria Find Food Sources Through A Biased Random Walk |
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186 | (1) |
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12.2 Bacteria Suppress Tumbling In Response To Chemoattractants And Then Adapt Perfectly |
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187 | (1) |
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12.3 A Plausible Negative Feedback Model Can Account For Perfect Adaptation |
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188 | (4) |
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12.4 The Response Of The Erk Map Kinases To Mitogenic Signals Is Typically Transitory |
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192 | (1) |
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12.5 Delayed Negative Feedback Can Yield Near-Perfect Adaptation |
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193 | (2) |
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12.6 Ultrasensitive In The Feedback Loop Improves The System's Adaptation |
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195 | (1) |
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12.7 Induction Of Immediate-Early Gene Products Is Not Required For Erk Inactivation In Many Cell Types |
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196 | (3) |
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197 | (1) |
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198 | (1) |
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Chapter 13 Adaptation 2: Incoherent Feedforward Regulation And State-Dependent Inactivation |
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199 | (14) |
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200 | (1) |
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13.1 Receptor Tyrosine Kinase Activation Is Followed By Transitory Ras Activation |
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200 | (1) |
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13.2 The Sequential Recruitment Of Sos And Gap To The Egfr Can Be Viewed As Incoherent Feedforward Regulation |
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201 | (1) |
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13.3 Incoherent Feedforward Systems Can Yield Perfect Adaptation |
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202 | (1) |
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13.4 Strict Ordering Of Sos And Gap Binding To The Egfr Is Not Required For Perfect Adaptation |
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203 | (2) |
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13.5 The Voltage-Sensitive Sodium Channel Also Undergoes Sequential Activation And Inactivation |
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205 | (3) |
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13.6 EGFR Internalization Can Be Viewed As State-Dependent Inactivation |
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208 | (1) |
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13.7 GPCR Signaling Is Switched From G-Proteins To (J-Arrestin Via A Mechanism Akin To State-Dependent Inactivation |
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209 | (4) |
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210 | (1) |
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211 | (2) |
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213 | (1) |
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213 | (1) |
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14.1 Biological Oscillations Control Myriad Aspects Of Life And Operate Over A Ten-Billion-Fold Range Of Time Scales |
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214 | (1) |
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14.2 The Goodwin Oscillator Is Built Upon A Three-Tier Cascade With Highly Ultrasensitive Negative Feedback |
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214 | (3) |
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14.3 Linear Stability Analysis Yields A Pair Of Complex Eigenvalues |
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217 | (3) |
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14.4 Oscillations Are Born And Extinguished At HOPF Bifurcations |
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220 | (1) |
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14.5 Simple Harmonic Oscillators Are Not Limit Cycle Oscillators |
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221 | (4) |
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223 | (1) |
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224 | (1) |
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Chapter 15 Relaxation Oscillators |
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225 | (22) |
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226 | (1) |
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15.1 The Xenopus Embryonic Cell Cycle Is Driven By A Reliable Biochemical Oscillator |
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226 | (2) |
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15.2 The Cell Cycle Oscillator Includes A Negative Feedback Loop And A Bistable Trigger |
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228 | (2) |
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15.3 A Simplified Model Captures The Basic Dynamics Of The Cell Cycle Oscillator |
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230 | (2) |
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15.4 The Cell Cycle Model Has A Single Unstable Steady State |
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232 | (3) |
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15.5 Tuning The Oscillator Changes The Period More Than The Amplitude |
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235 | (1) |
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15.6 Phase Plane Analysis Shows Why The HOPF Bifurcations Occur Where They Do |
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236 | (3) |
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15.7 Interlinked Positive And Double-Negative Feedback Loops Can Make The Mitotic Trigger More All-Or-None And More Robust |
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239 | (1) |
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15.8 The Fitzhugh-Nagumo Model Accounts For The Electrical Oscillations Of The Sinoatrial Node |
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240 | (1) |
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15.9 The Fitzhugh-Nagumo Model Consists Of A Quick Bistable Switch And A Slower Negative Feedback Loop |
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241 | (1) |
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15.10 The Cell Cycle Oscillator And The Fitzhugh-Nagumo Oscillator Share The Same Systems-Level Logic |
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242 | (1) |
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15.11 Depletion Can Take The Place Of Negative Feedback In A Relaxation Oscillator |
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243 | (4) |
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245 | (1) |
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246 | (1) |
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247 | (8) |
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247 | (1) |
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16.1 The Receptor Tyrosine Kinase/Map Kinase System Includes Multiple Positive And Negative Feedback Loops |
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248 | (1) |
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16.2 Excitable Responses Can Be Generated By A Fast Positive Feedback Loop Coupled To A Slow Negative Feedback Loop |
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249 | (3) |
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16.3 Noise Can Cause An Excitable System To Fire Sporadically |
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252 | (3) |
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253 | (1) |
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253 | (2) |
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255 | (2) |
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255 | (1) |
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255 | (1) |
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256 | (1) |
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256 | (1) |
Glossary |
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257 | (6) |
Index |
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263 | |