We present a new particle tracking software algorithm designed to accurately track the motion of lowcontrast particles against a background with large variations in light levels. The method is based on a polynomial fit of the intensity around each feature point, weighted by a Gaussian function of the distance from the centre, and is especially suitable for tracking endogeneous particles in the cell, imaged with bright field, phase contrast or fluorescence optical microscopy. Furthermore, the method can simultaneously track particles of all different sizes, and allows significant freedom in their shape. The algorithm is evaluated using the quantitative measures of accuracy and precision of previous authors, using simulated images at variable signal-to-noise ratios. To these we add a new test of the error due to a non-uniform background. Finally the tracking of particles in real cell images is demonstrated. The method is made freely available for non-commencial use as a software package with a graphical user-inferface, which can be run within the Matlab programming environment.
Relaxation of flow birefringence can give a direct measure of the rotational diffusion of rodlike objects in solution. With a suitable model of the rotational diffusivity, a length distribution can be sought by fitting the decay curve. We have measured the flow birefringence decay from solutions of amyloid fibrils composed of β-lactoglobulin and extracted a length distribution using the Doi-Edwards-Marrucci-Grizzuti theory of semidilute rotational diffusion. The concentration scaling of the results shows that the fibrils diffuse as free rods: they cannot be significantly branched, sticky, or break up under dilution. The length distribution obtained shows a single broad peak, consistent with measurements of the fibrils by electron microscopy. This comparison, and combination of the experiment with an assay to find the total concentration of fibrils, allows calibration of the length scale and concentration scale of the length distribution. It is our hope that this method can be used for following the growth kinetics of amyloid fibrils in vitro and for studying the length distribution of rodlike systems in general.
The formation of amyloid-containing spherulite-like structures has been observed in some instances of amyloid diseases, as well as in amyloid fibril-containing solutions in vitro. In this article we describe the structure and kinetics of bovine insulin amyloid fibril spherulites formed in the presence and absence of different salts and at different salt concentrations. The general spherulite structure consists of radially oriented amyloid fibrils, as shown by optical microscopy and environmental scanning electron microscopy. In the center of each spherulite, a "core" of less regularly oriented material is observed, whose size decreases when the spherulites are formed in the presence of increasing concentrations of NaCl. Similarly, amyloid fibrils form faster in the presence of NaCl than in its absence. A smaller enhancement of the rate of formation with salt concentration is observed for spherulites. These data suggest that both amyloid fibril formation and random aggregation occur concurrently under the conditions tested. Changes in their relative rates result in the different-sized cores observed in the spherulites. This mechanism can be likened to that leading to the formation of spherulites of polyethylene, in agreement with observations that polypeptide chains under partially denaturing conditions can exhibit behavior not dissimilar to that of synthetic polymers.
The rheology of bacterial biofilms at the micron scale is an important step to understanding the communal lifecycles of bacteria that adhere to solid surfaces, as it measures how they mutually adhere and desorb. Improvements in particle-tracking software and imaging hardware have allowed us to successfully employ particle-tracking microrheology to measuring single-species bacterial biofilms, based on Staphlococcus aureus and Pseudomonas aeruginosa. By tracking displacements of the cells at a range of timescales, we separate active and thermal contributions to the cell motion. The S. aureus biofilms in particular show power-law rheology, in common with other dense colloidal suspensions. By calculating the mean compliance of S. aureus biofilms, we observe them becoming less compliant during growth, and more compliant during starvation. The biofilms are rheologically inhomogeneous on the micron scale, as a result of the strength of initial adhesion to the flow cell surface, the arrangement of individual bacteria, and larger-scale structures such as flocs of P. aeruginosa. Our S. aureus biofilms became homogeneous as a function of height as they matured: the rheological environment experienced by a bacterium became independent of how far it lived from the flow cell surface. Particle-tracking microrheology provides a quantitative measure of the "strength" of a biofilm. It may therefore prove useful in identifying drug targets and characterizing the effect of specific molecular changes on the micron-scale rheology of biofilms.
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