Conformal mapping has been applied mostly to harmonic functions, i.e. solutions of Laplace’s equation. In this paper, it is noted that some other equations are also conformally invariant and thus equally well suited for conformal mapping in two dimensions. In physics, these include steady states of various nonlinear diffusion equations, the advection–diffusion equations for potential flows, and...

In this paper we propose a novel algorithm which leverages models of white matter fibre dispersion to improve tractography. Tractography methods exploit directional information from diffusion weighted magnetic resonance (DW-MR) imaging to infer connectivity between different brain regions. Most tractography methods use a single direction (e.g. the principal eigenvector of the diffusion tensor) ...

The turbulent mixing of a primary jet and its surrounding fluid in a pipe with inlet conditions that result in flow separation is studied. Detailed profiles of the axial mean and rms velocities have been measured with a laser Doppler anemometer. Measured spectra of axial velocity fluctuations show the presence of coherent structures. The performance of a two-equation turbulence model in conjunc...

BACKGROUND Our understanding of the effect of ataxia-telangiectasia mutated gene mutations on brain structure and function is limited. In this study, white matter motor pathway integrity was investigated in ataxia telangiectasia patients using diffusion MRI and probabilistic tractography. METHODS Diffusion MRI were obtained from 12 patients (age range: 7-22 years, mean: 12 years) and 12 typic...

objectives: grewia paniculata (family: malvaceae) has been used to treat inflammation, respiratory disorders and fever. it is additionally employed for other health conditions including colds, diarrhea and as an insecticide in bangladesh. the aim of the present study was to investigate the antibacterial and cytotoxic activities of different extracts of grewia paniculata. materials and methods: ...

objective(s) ibuprofen is a problematic drug in tableting, and dissolution due to its poor solubility, hydrophobicity, and tendency to stick to surface. because of the bad compaction behavior ibuprofen has to be granulated usually before tableting. however, it would be more satisfactory to obtain directly during the crystallization step crystalline particles that can be directly compressed and ...

The white matter pathways of the brain can be reconstructed as 3D polylines, called streamlines, through the analysis of diffusion magnetic resonance imaging (dMRI) data. The whole set of streamlines is called tractogram and represents the structural connectome of the brain. In multiple applications, like group-analysis, segmentation, or atlasing, tractograms of different subjects need to be al...

Automatic labeling of white matter fibres in diffusion-weighted brain MRI is vital for comparing brain integrity and connectivity across populations, but is challenging. Whole brain tractography generates a vast set of fibres throughout the brain, but it is hard to cluster them into anatomically meaningful tracts, due to wide individual variations in the trajectory and shape of white matter pat...