We introduce random directed acyclic graph and use it to model the information diffusion network. Subsequently, we analyze the cascade generation model (CGM) introduced by Leskovec et al. [19]. Until now only empirical studies of this model were done. In this paper, we present the first theoretical proof that the sizes of cascades generated by the CGM follow the power-law distribution, which is...

Wireless Sensor Networks (WSNs) detect and report interesting events when they occur in the target region. These networks are vulnerable to security breach due to wireless communication and lack of infrastructure. In sinkhole attacks, an attacker attracts network traffic by forging or replaying routing messages through compromised nodes. Thus attracted traffic is used for selective forwarding, ...

Introduction: Evidence based practice (EBP) education isessential in promoting of clinical care, but an effective educationalstrategy for teaching EBP in nursing faculties is not available.The aim of this study was to explore the experiences of nursingstudents of EBP Education according to Rogers’ Diffusion ofInnovation Model.Methods: This qualitative study was carried out using a directedconte...

This paper formulates tracer stirring arising from the Gent–McWilliams (GM) eddy-induced transport in terms of a skew-diffusive flux. A skew-diffusive tracer flux is directed normal to the tracer gradient, which is in contrast to a diffusive tracer flux directed down the tracer gradient. Analysis of the GM skew flux provides an understanding of the physical mechanisms prescribed by GM stirring,...

In this paper we develop mathematical models for collective cell motility. Initially we develop a model using a linear diffusion-advection type equation and fit the parameters to data from cell motility assays. This approach is helpful in classifying the results of cell motility assay experiments. In particular, this model can determine degrees of directed versus undirected collective cell moti...

The diffusive and directed transport of particles in a two-dimensional periodic potential subjected to frictional and time-periodic forces is analyzed in detail. The model represents diffusion of atoms adsorbed on metal surfaces under an applied ac electric field (surface electromigration) in the low-temperature limit. The second dimension and the potential energy coupling are shown to play an ...

A Wireless Sensor Network (WSN) is a collection of small sensor nodes with sensing, computation and communication capabilities. The sensor nodes are randomly deployed in distributed environment. The main goal of this paper is to form clusters of sensor nodes and to perform Data Aggregation to collect the data by maintaining the energy efficiency so that the network lifetime can be increased. Ne...

Single-experiment analysis of phospholipid compositional gradients reveals diffusion coefficients, phase separation parameters, and binding densities as a function of localized lipid mixture. Compositional gradients are formed by directed self assembly where rapid-prototyping techniques (i.e., additive manufacturing or laser-cutting) prescribe lipid geometries that self-spread, heal and mix by ...

We consider directed polymers in a random landscape that is completely correlated in the time direction. This problem is closely related to diffusion-reproduction