Abstract:Differential Dynamic Microscopy (DDM) analyzes traditional real-space microscope images to extract information on sample dynamics in a way akin to light scattering, by decomposing each image in a sequence into Fourier modes, and evaluating their time correlation properties. DDM has been applied in a number of soft-matter and colloidal systems. However, objects observed to move out of the microscope's captured field of view, intersecting the edges of the acquired images, can introduce spurious but significant e… Show more
“…Note that the scattering functions are shown for a q-value of 4.65 mm À1 , which is an intermediate value where the ISF is not affected by noise or by drifting of the particles out of the field of view (see ref. 52 and ESI, † Fig. S3).…”
Section: Effect Of Crosslinking On Particle Diffusivity In Hyaluronanmentioning
We show that the diffusivity of particles in biomimetic extracellular hydrogels based on hyaluronan depends on the stress relaxation dynamics of the hydrogel and is strongly affected by the presence of collagen fibers.
“…Note that the scattering functions are shown for a q-value of 4.65 mm À1 , which is an intermediate value where the ISF is not affected by noise or by drifting of the particles out of the field of view (see ref. 52 and ESI, † Fig. S3).…”
Section: Effect Of Crosslinking On Particle Diffusivity In Hyaluronanmentioning
We show that the diffusivity of particles in biomimetic extracellular hydrogels based on hyaluronan depends on the stress relaxation dynamics of the hydrogel and is strongly affected by the presence of collagen fibers.
“…While performing the numerical Fourier transform, care has to be taken to avoid imaged inhomogeneities leading to spectral leakage. 39 Assuming a stationary and isotropic signal, the signal statistics and hence the power spectrum are independent of time t and the direction of the scattering vector Q. To improve statistics, thus, a temporal average over t and an azimuthal average over the angle φ in the Q plane are performed and indicated by t,φ .…”
Section: Determination Of the Steady-shear Viscosity In A Ddm Experimentsmentioning
The rheological properties of a medium can be inferred from the Brownian motion of colloidal tracer particles using the microrheology procedure. The tracer motion can be characterized by the mean-squared displacement (MSD). It can be calculated from the intermediate scattering function determined by Differential Dynamic Microscopy (DDM). Here we show that DDM together with the empirical Cox-Merz rule is particularly suited to measure the steady-shear viscosity, i.e. the viscosity towards zero frequency, due to its ability to provide reliable information on long time and length scales and hence small frequencies. This method, η-DDM, is tested and illustrated using three different systems: Newtonian fluids (glycerol-water mixtures), colloidal suspensions (protein samples) and a viscoelastic polymer solution (aqueous poly(ethylene oxide) solution). These tests show that common lab equipment, namely a bright-field optical microscope, can be used as a convenient and reliable microliter viscometer. Because η-DDM requires much smaller sample volumes than classical rheometry, only a few microliters, it is particularly useful for biological and soft matter systems.
“…It has been recently shown that multiplying the images with a windowing function before performing the Fourier transform operation removes the artifacts due to the finite image size and improves the determination of D(q,t), especially for those q for which the signal is comparable or smaller than the noise [46]. We thus apply this algorithm in our analysis.…”
Section: E Differential Dynamic Microscopymentioning
Particle-tracking microrheology (PT-μr) exploits the thermal motion of embedded particles to probe the local mechanical properties of soft materials. Despite its appealing conceptual simplicity, PT-μr requires calibration procedures and operating assumptions that constitute a practical barrier to its wider application. Here we demonstrate differential dynamic microscopy microrheology (DDM-μr), a tracking-free approach based on the multiscale, temporal correlation study of the image intensity fluctuations that are observed in microscopy experiments as a consequence of the translational and rotational motion of the tracers. We show that the mechanical moduli of an arbitrary sample are determined correctly over a wide frequency range provided that the standard DDM analysis is reinforced with an iterative, self-consistent procedure that fully exploits the multiscale information made available by DDM. Our approach to DDM-μr does not require any prior calibration, is in agreement with both traditional rheology and diffusing wave spectroscopy microrheology, and works in conditions where PT-μr fails, providing thus an operationally simple, calibration-free probe of soft materials.
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