Resource diffusion is an ubiquitous phenomenon, but how it impacts epidemic spreading has received little study. We propose a model that couples epidemic spreading and resource diffusion in multiplex networks. The spread of disease in a physical contact layer and the recovery of the infected nodes are both strongly dependent upon resources supplied by their counterparts in the social layer. The...

In this paper, we study the dynamic range of multi-layer cellular neural networks (CNN’s) by using Lyapunov functions. A theorem is presented to guarantee the existence of equilibrium point of multi-layer CNN. A theorem on globally stable equilibrium point of multi-layer CNN is given. Multi-layer CNN’s are used to model some functions of nitric oxide (NO) in nervous systems. In a 2-layer CNN mo...

Diffusion layers, and specially perfect diffusion layers, are very important subject for cryptographic research. Main quest is a perfect diffusion layer with more optimal hardware and/or software implementations (if possible, the last needs to holds also for its inverse). Different structures can be used for representing these layers, but all are interconnected. We start with multipermutations ...

Abstract. A mathematical model of enzymes inhibition during microparticles formation has been developed. The model is based on radial substrate diffusion through diffusion layer that surrounds microparticle. The inhibition of enzymes was explained by enzyme adsorption on surface of the microparticles and substrate diffusion limitation through the diffusion layer. The diffusion module is depende...

The present work introduces a modified scheme for the solution of compressible 2-D full Navier-Stokes equations, using Flux Vector Splitting method. As a result of this modification, numerical diffusion is reduced. The computer code which is developed based on this algorithm can be used easily and accurately to analyze complex flow fields with discontinuity in properties, in cases such as shock...

The behavior of gel layer thickness in swellable hydroxypropyl methyl cellulose matrices loaded with increasing amounts of soluble and colored drug and exhibiting swelling, diffusion and erosion fronts, was studied using a colorimetric technique. The effect of the drug loading on the front position in the gel layer, in particular, on the presence of a diffusion front and its movement, was inves...