Correlation Force Spectroscopy for Single Molecule Measurements

<p>Chapter 1 - Introduction<br>Overview of Single Molecule Force Spectroscopy Techniques<br>Experiments Using Single molecule AFM<br>Limitations of AFM-based single molecule force spectroscopy<br>Summary </p><p>Chapter 2- Correlation Force Spectroscopy <br>Correlation Force Spectroscopy: Rationale <br>Correlation Force Spectroscopy: Development<br>Laterally Offset Configuration <br>Vertically Offset Configuration <br>Analysis of Correlations between Two Cantilevers <br>Validation of Fluctuation-Dissipation Theorem for One Cantilever <br>Analysis of Thermal Fluctuations to obtain Correlations </p><p><br>Chapter 3- Dynamics of Single Molecules <br>Elastic Properties of Single Molecules: Worm-Like Chain and Freely-Jointed Chain Models<br>Hydrodynamics of Single Molecules: Dumbbell Model and Rouse Model<br>Internal Friction<br>Rouse with Internal Friction<br>Model of Linear Viscoelasticity of a Semiflexible Chain<br>Summary</p><p>Chapter 4- Microrheology with Correlation Force Spectroscopy<br>Existing Techniques of Rheometry<br>Experimental Methods<br>Comparison to Finite Element Analysis<br>Comparison to Simple Harmonic Oscillator Model<br>Summary</p><p>Chapter 5- Development of Colloidal Probe Correlation Force Spectroscopy: Case Study<br>Materials and Methods<br>Analysis<br>Results <br>Discussion <br>Summary </p><p>Chapter 6- Correlation Force Spectroscopy for Single Molecule Measurements<br>Effect of the Distance between Cantilever Tips<br>Harmonic Oscillator Modeling of Vertically Offset Correlation Force Spectroscopy<br>Summary</p><p>Chapter 7- Single Molecule Force Spectroscopy of Dextran<br>Materials and Methods<br>Results<br>Stretching a Dextran Molecule<br>Static Force-Elongation Mode<br>Dynamic Correlated Fluctuations Mode<br>Discussion<br>Summary </p><p>Chapter 8- Single Molecule Force Spectroscopy of Single-Stranded DNA<br>Rationale <br>Introduction Materials and Methods <br>Modal Analysis<br>Results <br>Discussion<br>Summary</p><p>Chapter 9- Summary<br>An Overview of Chapters <br>Future Work</p><p>Appendix I: Simple Harmonic Oscillator Model for Laterally Offset Correlation Force Spectroscopy</p><p>Appendix II: Simple Harmonic Oscillator Model for Vertically Offset Correlation Force Spectroscopy with Tethered Molecule</p><p>References</p><p>