We have investigated effects of excluded volume interactions on the translational diffusion of hydrodynamically anisotropic molecules. For that, we have performed rigid-body Brownian dynamics simulations of aqueous solutions of hen egg-white lysozyme (HEWL), at concentrations ranging from 1.25 mg/mL to 250 mg/mL and evaluated the lysozyme's self-diffusion. In the long time limit (above 1 μs), t...

Diffusion tensor magnetic resonance imaging (DT-MRI) is a non-invasive imaging method for assessing the characteristics and organization of tissue microstructure. The diffusion tensor provides information about the magnitude, anisotropy, and orientation of water diffusion in biological tissues. In brain white matter, the direction of greatest diffusivity is typically assumed to be parallel to t...

The aim of the work presented in this paper is to investigate experimentally the behavior of different types of anisotropic diffusion schemes. The efficiency of the filters based on the anisotropic diffusion is determined to large extent by the properties of the conductance function in the PDE equation, which describes the diffusion process. Changing the shape of the conductivity function, we c...

A multigrid anisotropic diffusion algorithm for image processing is presented. The multigrid implementation provides an efficient hierarchical relaxation method that facilitates the application of anisotropic diffusion to time-critical processes. Through a multigrid V-cycle, the anisotropic diffusion equations are successively transferred to coarser grids and used in a coarseto-fine error corre...

We develop an adaptive finite element method for island dynamics in epitaxial growth. We study a step-flow model, which consists of an adatom (adsorbed atom) diffusion equation on terraces of different height; thermodynamic boundary conditions on terrace boundaries including anisotropic line tension; and the normal velocity law for the motion of such boundaries determined by a two-sided flux, t...

This paper provides the derivation of speckle reducing anisotropic diffusion (SRAD), a diffusion method tailored to ultrasonic and radar imaging applications. SRAD is the edge-sensitive diffusion for speckled images, in the same way that conventional anisotropic diffusion is the edge-sensitive diffusion for images corrupted with additive noise. We first show that the Lee and Frost filters can b...

Fingerprint enhancement is a critical step in a fingerprint identification system. Recently, some anisotropic nonlinear diffusion filter is applied to the fingerprint preprocessed. Impressive results are main reason for using nonlinear diffusion filtering in image processing. Poor efficiency, especially the computational load, is the main reason for not using nonlinear diffusion filtering. In o...

Light transport in a strongly scattering, strongly anisotropic material is studied experimentally using both static and time-resolved techniques. Both the static and the dynamic results are well characterized by a diffusion equation with an anisotropic diffusion tensor and a scalar absorption term. Light diffuses 4.0 times faster along the uniaxial axis of the material compared with diffusion i...