Preface |
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xv | |
List of Abbreviations |
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xviii | |
Part I Introduction and Background |
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3 | (6) |
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3 | (1) |
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1.2 Guided Tour of the Book |
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4 | (5) |
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2 Biochemistry for Engineers: A Short Primer |
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9 | (21) |
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2.1 Bonded and Nonbonded Molecular Interactions |
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9 | (3) |
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2.2 Lipids, Vesicles, and Bilayers |
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12 | (2) |
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14 | (2) |
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2.3.1 Archaebacteria and DphPC Bilayers |
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14 | (1) |
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2.3.2 Energetics of Lipid Bilayers |
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15 | (1) |
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2.3.3 Structure of Lipid Bilayers |
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16 | (1) |
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2.4 Peptides and Proteins |
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16 | (5) |
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21 | (3) |
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2.6 Tethers, Spacers, and the Bioelectronic Interface |
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24 | (3) |
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25 | (1) |
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25 | (1) |
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2.6.3 Bioelectronic Interface |
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26 | (1) |
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2.7 How to Visualize Macromolecules |
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27 | (2) |
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29 | (1) |
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3 Engineered Artificial Membranes |
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30 | (31) |
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30 | (2) |
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3.2 Artificial Membrane Architectures |
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32 | (3) |
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3.3 Engineered Artificial Tethered Membranes |
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35 | (4) |
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3.4 Sensing with Engineered Tethered Membranes |
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39 | (6) |
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3.4.1 Device 1: Ion-Channel Switch (ICS) Biosensor |
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41 | (1) |
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3.4.2 Device 2: Pore Formation Measurement Platform (PFMP) |
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42 | (1) |
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3.4.3 Device 3: Electroporation Measurement Platform (EMP) |
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43 | (1) |
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3.4.4 Device 4: Electrophysiological Response Platform (ERP) |
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44 | (1) |
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3.5 Multiphysics Dynamic Models of Engineered Tethered Membranes |
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45 | (4) |
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3.5.1 Ab Initio Molecular Dynamics |
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46 | (1) |
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47 | (1) |
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3.5.3 Coarse-Grained Molecular Dynamics |
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47 | (1) |
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48 | (1) |
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3.5.5 Reaction-Rate Theory |
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48 | (1) |
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3.6 Electrolyte Dynamics: Steric Effects and Double-Layer Charging |
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49 | (2) |
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3.7 Future Technologies: Implantable Medical Devices, Diagnostics, and Therapeutics |
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51 | (7) |
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3.7.1 Cochlear and Retinal Implants |
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51 | (1) |
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3.7.2 In Vitro Medical Diagnostics (IVDs) |
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52 | (2) |
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3.7.3 Molecular Therapeutics |
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54 | (1) |
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3.7.4 Biological Neural Networks |
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54 | (1) |
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3.7.5 Microeletrodes and Single-Cell Measurements |
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55 | (3) |
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58 | (1) |
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58 | (3) |
Part II Building Engineered Membranes, Devices, and Experimental Results |
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4 Formation of Engineered Tethered Membranes |
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61 | (22) |
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61 | (3) |
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4.1.1 Engineered Tethered Membrane: Structure |
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62 | (1) |
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4.1.2 Overview of Tethered Device |
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63 | (1) |
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4.2 Building an Engineered Artificial Membrane |
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64 | (7) |
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4.2.1 Solvent-Exchange Technique |
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64 | (6) |
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4.2.2 Evaluating the Quality of the Engineered Membrane |
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70 | (1) |
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4.3 Inserting Proteins and Ion Channels into Engineered Artificial Membranes |
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71 | (5) |
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4.3.1 Spontaneous Insertion Method |
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72 | (1) |
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4.3.2 Electrochemical Insertion Method |
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72 | (2) |
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4.3.3 Proteoliposomal Insertion Method |
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74 | (2) |
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4.4 Laboratory Exercise: Tethered Membranes and Spontaneous Insertion of Gramicidin Channels |
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76 | (5) |
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4.4.1 Prepare the Engineered Tethered Membrane for Spontaneous gA Ion-Channel Insertion |
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77 | (2) |
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4.4.2 Spontaneous Insertion of gA Ion Channels |
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79 | (1) |
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4.4.3 Measuring Membrane Conductance Response |
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79 | (2) |
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4.5 Complements and Sources |
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81 | (1) |
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82 | (1) |
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5 Ion-Channel Switch (ICS) Biosensor |
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83 | (20) |
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83 | (2) |
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5.2 ICS Biosensor: Construction and Formation |
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85 | (2) |
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5.3 Operation of the ICS Biosensor |
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87 | (3) |
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5.3.1 Large and Small Analyte Detection |
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87 | (1) |
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5.3.2 Impedance Response of ICS Biosensor for Digoxin and b-Fab |
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87 | (3) |
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5.4 ICS Biosensor: Flow Velocity, Binding-Site Density, and Specificity |
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90 | (5) |
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5.4.1 Flow Velocity and Binding-Site Density |
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91 | (3) |
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5.4.2 Specificity in Complex Environments |
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94 | (1) |
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5.5 Detection of Influenza A in Clinical Samples |
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95 | (2) |
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5.5.1 ICS Biosensor Preparation and Clinical Trials for Rapid Influenza A Diagnosis |
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95 | (1) |
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5.5.2 Influenza A Clinical Samples |
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96 | (1) |
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5.5.3 Results of Influenza A Clinical Trial |
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96 | (1) |
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5.6 ICS for Multianalyte Detection |
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97 | (4) |
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98 | (1) |
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5.6.2 Multi-Analyte Detection |
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99 | (2) |
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5.7 Complements and Sources |
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101 | (1) |
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102 | (1) |
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6 Physiochemical Membrane Platforms |
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103 | (15) |
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103 | (1) |
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6.2 Device 1: Pore Formation Measurement Platform (PFMP) |
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104 | (3) |
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6.2.1 Pore Formation Measurement Platform: Introduction |
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104 | (1) |
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6.2.2 Pore Formation Measurement Platform: Construction |
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105 | (1) |
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6.2.3 Pore Formation Measurement Platform: Operation and Experimental Measurements |
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106 | (1) |
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6.3 Device 2: Electroporation Measurement Platform (EMP) |
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107 | (3) |
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6.3.1 Electroporation Measurement Platform: Introduction |
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107 | (1) |
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6.3.2 Electroporation Measurement Platform: Formation |
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108 | (1) |
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6.3.3 Electroporation Measurement Platform: Operation and Experimental Measurements |
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109 | (1) |
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6.4 Device 3: Electrophysiological Response Platform (ERP) |
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110 | (5) |
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6.4.1 Electrophysiological Response Platform: Overview |
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110 | (2) |
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6.4.2 Electrophysiological Response Platform: Formation |
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112 | (2) |
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6.4.3 Electrophysiological Response Platform: Operation and Experimental Measurements |
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114 | (1) |
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6.5 Complements and Sources |
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115 | (2) |
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117 | (1) |
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7 Experimental Measurement Methods for Engineered Membranes |
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118 | (21) |
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118 | (1) |
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7.2 Electrical Response of Engineered Membranes |
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118 | (9) |
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7.2.1 Electrical Impedance Measurements |
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120 | (2) |
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7.2.2 Time-Dependent Electrical Measurements |
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122 | (3) |
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7.2.3 Interpretation of Measured Current Response |
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125 | (2) |
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7.3 Spectroscopy and Imaging Techniques for Engineered Tethered Membranes |
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127 | (7) |
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7.3.1 X-Ray Reflectometry for Measuring Area per Lipid |
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128 | (1) |
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7.3.2 Nuclear Magnetic Resonance Measurements of the Conformation and Orientation of Gramicidin A |
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129 | (1) |
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7.3.3 Fluorescence Recovery after Photobleaching for Measuring Lipid Diffusion |
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129 | (2) |
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7.3.4 Neutron Reflectometry for Measuring Membrane Thickness and Reservoir Thickness |
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131 | (2) |
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133 | (1) |
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7.4 Complements and Sources |
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134 | (1) |
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135 | (4) |
Part III Dynamic Models for Artificial Membranes: From Atoms to Device |
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8 Reaction-Rate-Constrained Models for Engineered Membranes |
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139 | (20) |
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139 | (1) |
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8.2 Fractional-Order Macroscopic Model |
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140 | (10) |
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8.2.1 Fractional-Order Derivatives: Double-Layer Capacitance and Charging Dynamics |
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144 | (3) |
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8.2.2 Fractional-Order Macroscopic Model: Sinusoidal and Time-Varying Excitation Potential |
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147 | (1) |
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8.2.3 Determining the Quality of an Engineered Membrane Using the Fractional-Order Macroscopic Model |
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148 | (2) |
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8.3 Experimental Measurements: Fractional-Order Macroscopic Model |
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150 | (4) |
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8.3.1 Spacer Surface and Electrolyte Concentration |
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151 | (1) |
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8.3.2 Variation in Membrane Types and Tether Density |
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152 | (1) |
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8.3.3 Estimating the Dielectric Constant of the Membrane |
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152 | (2) |
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8.4 Modeling Membranes with Sterol Components |
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154 | (3) |
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8.4.1 Fractional-Order Model for Cholesterol in Engineered Membranes |
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154 | (2) |
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8.4.2 Impedance Analysis of Engineered Membranes Containing Sterol Molecules |
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156 | (1) |
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8.5 Complements and Sources |
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157 | (1) |
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158 | (1) |
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9 Reaction-Rate-Constrained Models for the ICS Biosensor |
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159 | (15) |
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159 | (2) |
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9.2 Detection of Analyte Species in the Reaction-Rate Regime |
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161 | (6) |
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9.2.1 Aside: From Chemical Equations to Reaction-Rate Differential Equations |
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161 | (1) |
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9.2.2 Reaction-Rate Model of the ICS Biosensor |
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162 | (3) |
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9.2.3 Singular Perturbation Analysis of Dimer Concentration |
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165 | (1) |
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9.2.4 Detection of Human Chorionic Gonadotropin (hCG) |
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166 | (1) |
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9.3 Microelectrode ICS (mICS) Biosensor and Hidden Markov Model (HMM) |
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167 | (5) |
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9.3.1 Hidden Markov Model for mICS Biosensor |
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168 | (2) |
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9.3.2 Hidden Markov Model Statistical Signal Processing |
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170 | (1) |
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9.3.3 Detection of Monoterpene Oxidation Product (MTOP) |
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171 | (1) |
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9.4 Complements and Sources |
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172 | (1) |
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172 | (2) |
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10 Diffusion-Constrained Continuum Models of Engineered Membranes |
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174 | (38) |
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174 | (2) |
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10.2 Mass Transport versus Reaction-Rate-Limited Kinetics |
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176 | (2) |
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10.2.1 Damkohler and Peclet Numbers |
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176 | (1) |
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10.2.2 Characterization of Operating Regime |
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177 | (1) |
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10.3 Mass-Transport-Limited Model of the ICS Biosensor Dynamics |
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178 | (9) |
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10.3.1 Poisson's Equation: Electrostatics |
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180 | (1) |
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10.3.2 Nernst-Planck Equation: Advection and Diffusion |
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181 | (1) |
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10.3.3 Poisson-Nernst-Planck Equation |
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182 | (3) |
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10.3.4 Estimating the Reaction Rates in the ICS Biosensor |
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185 | (1) |
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10.3.5 Experimental Results: Streptavidin, TSH, Ferritin, and hCG |
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186 | (1) |
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10.4 Biosensor Arrays: Numerical Case Study |
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187 | (8) |
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10.4.1 Biosensor Array Model |
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189 | (1) |
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10.4.2 Mass-Transport Phase Diagram |
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190 | (3) |
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10.4.3 Sensor Array Can Mitigate Mass-Transport Limits |
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193 | (2) |
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10.5 Pore Formation Dynamics: Models for PGLa Antimicrobial Peptides |
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195 | (8) |
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10.5.1 Generalized Reaction-Diffusion Equation |
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197 | (1) |
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10.5.2 Analyte and Surface Reaction Mechanism of PGLa |
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197 | (2) |
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10.5.3 Dynamic Model of Electrolyte and Surface Diffusion of PGLa |
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199 | (2) |
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10.5.4 Experimental Results: Reaction Dynamics of PGLa |
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201 | (2) |
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10.6 Asymptotic Poisson-Nernst-Planck Model and Lumped Circuit Parameters |
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203 | (5) |
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10.6.1 Double-Layer Capacitance and Electrolyte Resistance for Blocking Electrode |
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204 | (2) |
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10.6.2 Double-Layer Capacitance for Reaction-Limited Electrode |
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206 | (2) |
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10.7 Complements and Sources |
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208 | (3) |
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10.7.1 Poisson-Nernst-Planck (PNP) Model |
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208 | (1) |
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10.7.2 ICS Biosensor Arrays and Multicompartment Models |
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208 | (1) |
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10.7.3 Parameter Estimation and System Identification |
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209 | (2) |
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211 | (1) |
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11 Electroporation Models in Engineered Artificial Membranes |
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212 | (38) |
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212 | (5) |
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11.1.1 Applications of Electroporation |
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212 | (1) |
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11.1.2 What Is Electroporation? |
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213 | (1) |
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11.1.3 Mesoscopic Model of Electroporation |
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214 | (2) |
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11.1.4 Organization of This Chapter |
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216 | (1) |
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11.2 Smoluchowski-Einstein Equation |
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217 | (5) |
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11.2.1 Source Term and Energy Term of the Smoluchowski-Einstein Equation |
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219 | (3) |
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222 | (1) |
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11.3 Multiphysics (Mesoscopic) Model of Electroporation |
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222 | (5) |
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11.3.1 Equivalent Circuit Model of Electroporation |
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222 | (2) |
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11.3.2 Singular Perturbation Approximation and Electrical Dynamics |
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224 | (3) |
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11.4 Continuum Model of Electroporation: Aqueous Pore Conductance and Double-Layer Capacitance |
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227 | (8) |
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11.4.1 Continuum Model 1: Generalized Poisson-Nernst-Planck (GPNP) Equation |
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229 | (3) |
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11.4.2 Continuum Model 2: Poisson-Fermi-Nernst-Planck (PFNP) Equation |
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232 | (3) |
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11.5 Computing Engineered Tethered-Membrane Parameters from Continuum Theory |
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235 | (7) |
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11.5.1 Computing Pore Conductance |
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235 | (1) |
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11.5.2 Electrical Potential Energy for Pore Formation |
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236 | (1) |
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11.5.3 Computing Pore Capacitance |
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237 | (1) |
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11.5.4 Double-Layer Capacitance |
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238 | (1) |
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11.5.5 Detection Tests for Ionic Correlation Effects |
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238 | (4) |
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11.6 Faradic Reactions at the Bioelectronic Interface |
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242 | (5) |
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11.6.1 Faradic Reactions and Double-Layer Charging at the Bioelectronic Interface |
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242 | (2) |
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11.6.2 Faradic Reaction Boundary Conditions for the PFNP Continuum Model |
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244 | (3) |
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11.7 Complements and Sources |
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247 | (1) |
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248 | (2) |
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12 Electroporation Measurements in Engineered Membranes |
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250 | (32) |
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250 | (3) |
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12.2 Aqueous Pore Conductance, Capacitance, and Electrical Energy |
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253 | (7) |
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12.2.1 Aqueous Pore Conductance |
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254 | (2) |
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12.2.2 Aqueous Pore Electrical Energy |
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256 | (3) |
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12.2.3 Aqueous Pore Capacitance |
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259 | (1) |
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12.3 Pore Radii and Membrane Conductance Dynamics |
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260 | (1) |
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12.4 Sensitivity of Current Response to Model Parameters |
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260 | (2) |
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12.5 Effect of Tether Density of Membrane Electroporation Dynamics |
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262 | (3) |
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12.6 Heterogeneous Membrane Mixtures |
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265 | (2) |
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12.7 Membranes with Sterol Inclusions |
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267 | (2) |
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12.8 Estimating Hydration Ion Size and Faradic Reaction Rates |
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269 | (2) |
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12.9 Electrical Double-Layer Charging Dynamics |
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271 | (5) |
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12.9.1 Spatially Dependent Dielectric Constant at the Bioelectronic Interface |
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272 | (3) |
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12.9.2 Voltage-Dependent Double-Layer Capacitance |
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275 | (1) |
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12.10 Large Excitation Potentials and Double-Layer Charging Dynamics |
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276 | (3) |
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12.11 Complements and Sources |
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279 | (2) |
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281 | (1) |
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13 Electrophysiological Response of Ion Channels and Cells |
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282 | (13) |
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282 | (2) |
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13.2 Dynamic Model of Embedded Ion Channels |
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284 | (1) |
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13.3 Electrophysiological Response of a Voltage-Gated Ion Channel |
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285 | (1) |
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13.4 Dynamic Model of Electrophysiological Response of Cells |
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286 | (5) |
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13.4.1 Macroscopic Model of the Electrophysiological Response Platform |
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287 | (2) |
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13.4.2 Cellular Membrane Conductance and Charging Dynamics |
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289 | (2) |
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13.5 Electrophysiological Response of Skeletal Myoblasts |
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291 | (1) |
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13.6 Complements and Sources |
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292 | (1) |
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293 | (2) |
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14 Coarse-Grained Molecular Dynamics |
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295 | (58) |
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295 | (4) |
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14.2 Basics of Coarse-Grained Molecular Dynamics |
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299 | (2) |
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14.2.1 From an Atomistic to a Mesoscopic Coarse-Grained Description of Engineered Membranes |
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300 | (1) |
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14.3 Atomistic-to-Observable Model of Tethered Membranes |
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301 | (4) |
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14.4 Aside: The Fokker-Planck Equation |
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305 | (5) |
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14.4.1 Kolmogorov and Fokker-Planck Equations |
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306 | (2) |
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14.4.2 First-Passage Time and the Arrhenius Equation |
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308 | (2) |
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14.5 Coarse-Grained Molecular Dynamics Model for the Bioelectronic Interface and Water |
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310 | (12) |
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14.5.1 Percus-Yevick Equation and Water Density at the Bioelectronic Interface |
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311 | (4) |
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14.5.2 Density Profile of Water at the Bioelectronic Interface |
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315 | (2) |
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14.5.3 Fokker-Planck Equation: Spatially Dependent Water Diffusion Coefficient |
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317 | (3) |
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14.5.4 Diffusion Tensor of Water in Tethering Reservoir |
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320 | (1) |
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321 | (1) |
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14.6 Tethered Membrane Dynamics and Energetics |
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322 | (10) |
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14.6.1 Lipid Energetics and Pore Density |
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322 | (3) |
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14.6.2 Line Tension and Surface Tension |
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325 | (3) |
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14.6.3 Deuterium Order Parameter |
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328 | (1) |
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14.6.4 Lipid Lateral Diffusion |
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328 | (2) |
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14.6.5 Geometric Properties of Tethered Membranes |
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330 | (2) |
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332 | (1) |
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14.7 Control of Tethered-Membrane Properties by Sterol Inclusions |
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332 | (4) |
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14.7.1 Lateral Diffusion Dynamics of Lipids and Cholesterol |
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333 | (1) |
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14.7.2 Biomechanics of Lipids and Cholesterol |
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334 | (2) |
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14.8 Molecular Diffusion and Langevin's Equation |
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336 | (5) |
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14.8.1 Langevin's Equation and Diffusion of Molecules |
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336 | (3) |
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14.8.2 Nonstationary Lipid Diffusion with Sterol Inclusions |
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339 | (2) |
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14.9 Case Study: Atomistic-to-Observable Model PGLa Pore Formation in Tethered Membranes |
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341 | (7) |
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14.9.1 Coarse-Grained Molecular Dynamics Simulation of Tethered Membrane Containing PGLa |
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342 | (3) |
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14.9.2 Diffusion of PGLa and Membrane Properties from Coarse-Grained Molecular Dynamics |
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345 | (1) |
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14.9.3 Surface Binding and Oligomerization of PGLa from Coarse-Grained Molecular Dynamics |
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346 | (2) |
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14.10 Complements and Sources |
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348 | (3) |
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351 | (2) |
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15 All-Atom Molecular Dynamics Simulation Models |
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353 | (37) |
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353 | (1) |
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15.2 Basics of Molecular Dynamics |
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353 | (18) |
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15.2.1 Potential Energy Functions |
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355 | (3) |
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15.2.2 Macroscopic Parameters and Statistical Ensembles |
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358 | (7) |
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15.2.3 Numerical Methods for Molecular Dynamics |
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365 | (6) |
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15.3 MD Simulations for the Dynamics of Engineered Membranes |
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371 | (3) |
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15.4 Aqueous Pore Formation Dynamics in Tethered Membranes |
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374 | (2) |
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15.5 Capacitance and Dipole Potential of Tethered Membranes |
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376 | (2) |
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15.6 Modeling Ion Permeation and Channel Conductance |
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378 | (5) |
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15.6.1 Models for Ion Permeation: From Ab Initio to Reaction Rate |
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378 | (3) |
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15.6.2 Gramicidin Channel Conductance Estimation Using Distributional Molecular Dynamics |
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381 | (2) |
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15.7 Gramicidin A (gA) Dimer Dissociation and Reaction-Rate Estimation |
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383 | (4) |
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15.7.1 Molecular Reaction Dynamics of Gramicidin Channel Dissociation |
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|
384 | (1) |
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15.7.2 Gramicidin A Reaction Rates |
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385 | (2) |
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15.8 Complements and Sources |
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387 | (2) |
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389 | (1) |
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16 Closing Summary for Part III: From Atoms to Device |
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390 | (5) |
Appendices |
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|
Appendix A Elementary Primer on Partial Differential Equations (PDEs) |
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|
395 | (9) |
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A.1 Linear, Semilinear, and Nonlinear Partial Differential Equations |
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|
395 | (1) |
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A.2 Linear Partial Differential Equations and Boundary Conditions |
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|
396 | (1) |
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A.3 Nondimensionalization of Partial Differential Equations |
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397 | (4) |
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A.4 Solutions of Partial Differential Equations |
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|
401 | (3) |
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Appendix B Tutorial on Coarse-Grained Molecular Dynamics with Peptides |
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404 | (8) |
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B.1 Constructing the All-Atom and Coarse-Grained Structure of a Peptide |
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404 | (2) |
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B.2 Construction of Coarse-Grained Lipid Bilayer |
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|
406 | (3) |
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B.3 How to Insert PGLa Peptides in the Transmembrane State |
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|
409 | (1) |
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B.4 Note on Publication-Quality Figures |
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410 | (2) |
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Appendix C Experimental Setup and Numerical Methods |
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412 | (9) |
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C.1 Ion-Channel Switch Biosensor |
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412 | (2) |
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C.2 Pore Formation Measurement Platform: PGLa |
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414 | (1) |
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C.3 Tethered-Membrane Parameters: Pore Conductance and Electrical Energy |
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415 | (1) |
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C.4 Coarse-Grained Molecular Dynamics (CGMD) Simulations |
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416 | (3) |
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C.5 CGMD Simulation Setup for PGLa |
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|
419 | (2) |
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C.5.1 Simulation Setup of All-Atom Molecular Dynamics |
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|
420 | (1) |
Bibliography |
|
421 | (26) |
Index |
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447 | |