Browsing by Subject "Thermal noise imaging"
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Item Contribution of electrostatic interaction to the image formation in 3D thermal noise imaging(2006-12) Qiu, Jinze; Florin, Ernst-LudwigThree dimensional structures are able to be imaged by scanning the volume with a nanometer-size Brownian particle. The contribution of electrostatic interaction to the image formation in thermal noise imaging was studied. The problem was simplified to one dimension by replacing the complex three-dimensional structure with a planar coverslip. A simple fluorescence experiment was designed first to calibrate the distance from the trapping center to the planar surface. Strong electrostatic repulsion between like charged surfaces was observed in the experiments at low ionic strength as expected. Further fluorescence experiments shows that minimum separation decreases as salt concentration increases. It was found that 0.01mol/l is the optimal salt concentration for the given experimental condition. Higher concentrations lead to a permanent adhesion of particles to the surface making thermal noise imaging impossible.Item Development of quantitative three-dimensional thermal noise imaging of biopolymer filaments(2012-05) Kochanczyk, Martin David; Florin, Ernst-Ludwig; Shubeita, George; Marder, Michael; Bengtson, Roger; Zhang, John XBiopolymer networks perform many essential functions for living cells. Most of these networks show a highly nonlinear mechanical response that is well-studied on the macroscopic scale. While much work has been done to connect the macroscopic responses of networks to microscopic parameters, such as filament stiffness, cross-linking geometry and pore size, there is a lack of experimental techniques that can measure these properties in situ. This thesis presents the development of a quantitative scanning probe imaging technique, which can explore soft matter in an aqueous environment. An optical tweezer-based microscope, called a photonic force microscope, was designed and constructed. A stability analysis method, called Power Spectrum Integration Analysis, was developed and was used to show that the photonic force microscope achieves nanometer precision in the measurement of probe position with a bandwidth of 1MHz. A novel single filament assay was developed that allowed for the isolation and probing of individual biopolymer filaments. A scanning probe technique, called thermal noise imaging, which uses the diffusive motion of an optically trapped nanoparticle as a fast, natural scanner, was used to scan microtubules grafted on one end. The resulting thermal noise images were strongly influenced by the thermally driven, transverse fluctuations of the filaments. Analytical tools, which include Brownian dynamics simulations of probe and filament, were developed to assist quantitative analysis of thermal noise images. The persistence length of individual microtubules was extracted, and the length dependence persistence length for taxol stabilized microtubules was confirmed. The transverse fluctuations of a microtubule grafted on both ends were imaged. Finally, thermal noise images of collagen filaments inside a three-dimensional collagen network were recorded, and variations of the filament diameter were extracted. This thesis establishes thermal noise imaging as a quantitative tool for studying soft material on the nanometer scale, as well as paves the way for investigating force distributions inside biopolymer networks.Item Measuring the nonconservative force field in an optical trap and imaging biopolymer networks with Brownian motion(2011-12) Thrasher, Pinyu Wu; Florin, Ernst-LudwigOptical tweezers have been widely used by biophysicists to measure forces in single molecular processes, such as the force of a motor molecule walking and the force of a DNA molecule winding and unwinding. In these and similar force measurements, the usual assumption is that the force applied to a particle inside the tweezers is proportional to the displacement of the particle away from the trap center like Hookean springs, which would imply that the force field is conservative. However, the Gaussian beam model has indicated that the force field generated by optical tweezers is actually nonconservative, yet no experiments have measured or accounted for this effect. We introduce an experimental method -- the local drift method -- that can measure the force field in optical tweezers with high precision without any assumptions about the functional form of the force field. The force field is determined by analyzing the Brownian motion of a trapped particle. We successfully applied this method to different sizes of particles and measured the three dimensional force field with 10 nm spatial resolution and femtonewton precision in force. We find that the force field is indeed nonconservative. The nonconservative contribution increases radially away from the optical axis for both small and large particles. The curl vector field -- a measurement of the nonconservative force field -- reverses direction from counter-clockwise for small particles in the Rayleigh regime to clockwise for large particles in the ray optics regime, consistent with the different scattering force profiles in the two distinct scattering regimes. Together with the thermal fluctuations of the trapped particle, the nonconservative force can cause a complex flux of energy into the system. Optically-confined Brownian motion is further used to probe nanostructures such as a biopolymer network. This technique -- thermal noise imaging -- uses a Brownian particle as a "natural scanner" to explore a biopolymer network by moving the Brownian particle through the network with optical tweezers. The position fluctuations of the probe particle reflect the location of individual filaments as excluded volumes. The resolution of thermal noise imaging is directly coupled to the size of the probe particle. A smaller probe is capable of exploring smaller pore sizes formed by dense network. Previously, a 200 nm polystyrene particle had been used to probe an agar network. In this work, 100 nm gold probe particles are used to enhance the resolution. A 100 nm particle explore a network with mesh 2³ times smaller and therefore enhance the network resolution by 2³ times. A 100 nm particle also improves the imaging speed by a factor of 2 because of its faster diffusion. Three-dimensional thermal noise images of agarose filaments are obtained and a resolution of 10 nm for the position of the filaments is achieved. In addition, a gold particle is trapped with significantly less power than a polystyrene particle of the same size, indicating the possibility for using even smaller gold particles to further improve the resolution.