Journal: bioRxiv

Article Title: Tunable photoinitiated hydrogel microspheres for direct quantification of cell-generated forces in complex three-dimensional environments

doi: 10.1101/2023.03.31.535168

Figure Lengend Snippet: A) Left: 0.2-μm-diameter fluorescent nanobeads are segmented from 3D image z-stacks in the deformed (yellow) and undeformed reference (magenta) states. The nanobeads are rendered in 3D together with projections of the cumulative image intensity of the z-stack. The Cartesian (XYZ) axis labels indicate distances in microns. Reversing the measured displacements of the nanobeads in the deformed state yields the cyan circles, which co-localize with the undeformed state nanobeads. Right: Schematic illustrating the Cartesian (XYZ) and polar spherical (rθϕ) representations used to map microsphere deformation. B) Cartesian nanobead displacements ( u x , u y , u z ) are interpolated onto a spherical surface of radius R = 10 μm centered at the PAA microsphere’s centroid. Displacement contour levels between - 4 μm and 4 μm are represented in 3D (left) and mapped in 2D vs. azimuth angle θ and elevation angle ϕ (right), and colored according to the color-bar in panel A. C) Same as panel C but for displacements projected in polar spherical coordinates ( u r , u θ , u ϕ ). D) Schematic summarizing the microsphere deformation pattern.

Article Snippet: The resulting nanobead non-rigid motions accounting for microsphere deformation were interpolated into a uniform 3D mesh (i.e., using the griddata MATLAB function).

Techniques:

Journal: bioRxiv

Article Title: Tunable photoinitiated hydrogel microspheres for direct quantification of cell-generated forces in complex three-dimensional environments

doi: 10.1101/2023.03.31.535168

Figure Lengend Snippet: The 3D deformation field shown in was analyzed using Hooke’s law to compute radial ( top row ), azimuthal ( middle row ) and zenithal ( bottom row ) components of the 3D traction stress vector at the microsphere surface, The data are in 3D (left) and mapped in 2D vs. azimuth angle θ and elevation angle ϕ (right), and colored according to the colorbar in panel. Note that the colorbar scale of the τ r map is different than those of τ θ and τ ϕ .

Article Snippet: The resulting nanobead non-rigid motions accounting for microsphere deformation were interpolated into a uniform 3D mesh (i.e., using the griddata MATLAB function).

Techniques: Plasmid Preparation

Journal: Scientific Reports

Article Title: Noncollinear and nonlinear pulse propagation

doi: 10.1038/s41598-018-32676-9

Figure Lengend Snippet: Ratio of the time required by interpolation (MATLAB’s griddata function, T I ) and the Fourier transform based rotation ( T F ). For different grid sizes. Grid sizes are indicated in the legend.

Article Snippet: The speed advantage of the Fourier transform base rotation with respect to the 3D interpolation (MATLAB’s griddata function) for different grid sizes is presented in Fig. .

Techniques: