introduction: direction and latency of electrical connectivity between different sites of brain explains brain neural functionality. we compared efficiency of cross correlation and phase locking methods in time lag estimation which are based on local field potential (lfp) and lfpspike signals, respectively. methods: signals recorded from mt area of a macaque’s brain was used in a simulation app...

In this paper, we present an efficient numerical algorithm for solving the time-dependent Cahn–Hilliard–Navier–Stokes equations that model flow of two phases with different densities. The pressure-correction step in projection method consists a Poisson problem modified right-hand side. Spatial discretization is based on discontinuous Galerkin methods piecewise linear or quadratic polynomials. O...

We present a finite element based variational interface-preserving and conservative phase-field formulation for the modeling of incompressible two-phase flows with surface tension dynamics. The preservation hyperbolic tangent interface profile convective Allen-Cahn relies on novel time-dependent mobility model. coefficient is adjusted adaptively as function gradients velocity order parameter in...

The method is based on two-axis generation of a quasi-static rotating magnetic field and three-axis sensing. Two mutually orthogonal coils fed with phase-quadrature currents comprise the excitation source, which is equal to a mechanically rotating magnetic dipole. The resulting excitation field rotates elliptically at any position in the near-field region. The ac part of the squared field magni...

induction motor especially the squirrel cage type of this motor plays important role in industry. according to the application type, this motor place against various stresses that are caused failure in the motor. the most common failure is related to the stator winding. among these failures are turn-to-turn, coil-to-coil and phase to phase faults. flow the high current do to the induction resul...

We propose a method to calculate field maps from the phase of each EPI in an fMRI time series. These field maps can be used to correct the corresponding magnitude images for distortion caused by inhomogeneity in the static magnetic field. In contrast to conventional static distortion correction, in which one 'snapshot' field map is applied to all subsequent fMRI time points, our method also cap...

Aberrations of the coherent wavefront are analyzed using a phase Zernike filter. Developed iterative methods allow us to design a filter that decomposes the analyzed light field into a set of diffraction orders with amplitudes proportional to the circular Zernike polynomials. We also apply the algorithm to the calculation of the light field phase from measurements of the modules of decompositio...

We introduce a phase field approach for diffusion inside and outside a closed cell with damping and with source terms at the interface. The method is compared to exact solutions (where possible) and the more traditional finite element method. It is shown to be very accurate, easy to implement and computationally inexpensive. We apply our method to a recently introduced model for chemotaxis by R...

We model a system of ultracold fermionic dipolar molecules on a two-dimensional square lattice. Assuming that the molecules are in their nondegenerate hyperfine ground state, and that the dipole moment is polarized perpendicular to the plane (as in the recent experiments on 40K-87Rb molecules), we approximate these molecules as spinless fermions with long-range repulsive dipolar interactions. W...