Spiral waves of excitation in cardiac tissue are associated with life-threatening arrhythmias. It is, therefore, important to study the electrophysiological factors that affect dynamics these spiral waves. By using an electrophysiologically detailed mathematical model a myocyte (cardiac cell), we effects cellular parameters, such as membrane-ion-channel conductances, on properties action-potent...

Abstract The multilayer network framework has served to describe and uncover a number of novel unforeseen physical behaviors regimes in interacting complex systems. However, the majority existing studies are built on undirected networks while most systems nature exhibit directed interactions. Here, we propose analyze diffusive dynamics consisting at least one layer. We rigorously demonstrate th...

This paper deals with the derivation and analysis of reduced order elliptic PDE models on fractured domains. We use a Fourier to obtain coupling conditions between subdomains when fracture is represented as hypersurface embedded in surrounded rock matrix. compare our results prominent examples from literature for diffusive models. In second step, we present error estimates terms width. For proo...

We report on anomalous light transport in the strong scattering regime. Using low-coherence interferometry, we measure reflection matrix of titanium dioxide powders, revealing crucial features optical which can not be observed with transmission measurements: (i) a subdiffusive regime at early times flight that is direct consequence predominant recurrent loops, and (ii) crossover to conventional...

• A fast synthetic iterative scheme is developed to accelerate convergence for the implicit DOM based on stationary phonon BTE. This strengthens coupling of all phonons in phase space facilitate from diffusive ballistic regimes. Present can describe multiscale heat transfer problems accurately and efficiently. The present one three orders magnitude faster than traditional near regime. solid mat...

We investigate the nonlinear coupling between the so-called explicit modes, identified with wave numbers k such that 0< or =k< or =k(c), and implicit modes, defined such that k(c)< or =k< or =k(max). Here k(c) is an arbitrarily chosen cutoff wave number and k(max) is the ultraviolet cutoff as determined by viscous damping. The stresses arising from the nonlinearity in the Navier-Stokes equation...

Protein folding dynamics is often described as diffusion on a free energy surface considered as a function of one or few reaction coordinates. However, a growing number of experiments and models show that, when projected onto a reaction coordinate, protein dynamics is sub-diffusive. This raises the question as to whether the conventionally used diffusive description of the dynamics is adequate....