The purpose of this work is to study the effect of oscillatory MHD blood flow in stenosed artery. The analytical and numerical results are obtained for oscillatory MHD blood flow, which is assumed to be a Newtonian fluid. It was also assumed that the surface roughness is of cosine shaped and the maximum height of roughness is negligible, compared with the radius of un-constricted tube. The flui...

An explicit Runge-Kutta-Nyström method is developed for solving second-order differential equations of the form q′′ f t, q where the solutions are oscillatory. The method has zero-dissipation with minimal phase-lag at a cost of three-function evaluations per step of integration. Numerical comparisons with RKN3HS, RKN3V, RKN4G, and RKN4C methods show the preciseness and effectiveness of the meth...

We propose an efficient method for computing coupled flow–body dynamics. The time-stepping is implicit, and uses an iterative method (preconditioned GMRES) to solve the flow–body equations. The preconditioner solves a decoupled version of the equations which involves only the inversion of banded matrices, and requires a small number of iterations per time step. We use the method to probe the in...

We continue to develop the 2D oscillatory network model with self-organized dynamical coupling and synchronizationbased performance for image segmentation tasks. The model has been extracted via proper reduction from 3D oscillatory network, previously designed by the authors as oscillatory model of the brain visual cortex (VC). Known neurobiological data on VC structure and functioning were re ...

Synchronization processes are of crucial importance for brain function. Well-coordinated synchrony within and between neuronal populations appears to be an important mechanisms for neuronal signaling and information processing. In contrast, pathologically strong synchronization may severely impair brain function. For instance, resting tremor in Parkinson’s disease is caused by a synchronized po...

MOTIVATION Oscillations lie at the core of many biological processes, from the cell cycle, to circadian oscillations and developmental processes. Time-keeping mechanisms are essential to enable organisms to adapt to varying conditions in environmental cycles, from day/night to seasonal. Transcriptional regulatory networks are one of the mechanisms behind these biological oscillations. However, ...

We present a numerical method for the solution of three-dimensional linear magnetostatic problems by embedding their geometry into symmetric domain and Fourier expansion in symmetry coordinate, leading to set decoupled two-dimensional problems. Special cases include axial translational symmetry. To keep treatment universal, framework decomposition vector potential formulation is developed covar...

The mechanical properties of liver can sensitively indicate the progression of hepatic fibrosis. Mechanical tissue characterization involves the analysis of the complex shear modulus measured either by oscillatory rheometry or by in vivo elastography. In this study, bovine liver specimens were investigated by oscillatory rheometry and multifrequency magnetic resonance elastography (MRE) in a co...

Linear instability and nonlinear energy stability analyses are developed for the problem of a fluid-saturated porous layer stratified by penetrative thermal convection and two salt concentrations. Unusual neutral curves are obtained, in particular non-perfect ‘heartshaped’ oscillatory curves that are disconnected from the stationary neutral curve. These curves show that three critical values of...