Abstract Given a family $\mathcal{F}$ of bipartite graphs, the Zarankiewicz number $z(m,n,\mathcal{F})$ is maximum edges in an $m$ by $n$ graph $G$ that does not contain any member as subgraph (such called -free ). For $1\leq \beta \lt \alpha 2$ , graphs $(\alpha,\beta )$ - smooth if for some $\rho \gt 0$ and every $m\leq n$ $z(m,n,\mathcal{F})=\rho m n^{\alpha -1}+O(n^\beta . Motivated their w...

Mutational inactivation of the adenomatous polyposis coli (APC) tumor suppressor initiates most hereditary and sporadic colon carcinomas. Although APC protein is located in both the cytoplasm and the nucleus, the protein domains required to maintain a predominantly cytoplasmic localization are unknown. Here, we demonstrate that nuclear export of APC is mediated by two intrinsic, leucine-rich, n...

BACKGROUND Ankle-foot orthoses (AFOs) are commonly prescribed during rehabilitation after limb salvage. AFO stiffness is selected to help mitigate gait deficiencies. A new custom dynamic AFO, the Intrepid Dynamic Exoskeletal Orthosis (IDEO), is available to injured service members but prescription guidelines are limited. QUESTIONS/PURPOSES In this study we ask (1) does dynamic AFO stiffness a...

This paper describes the development of a maturity model to assess the Web-2.0-ness of websites. The model draws on O’Reilly’s Web 2.0 principles and patterns. It distinguishes six dimensions with four degrees of 2.0-ness each. The rating scheme has been evaluated and refined to improve inter-rater reliability in a discussion and a coding iteration. This model raises awareness for 2.0-ness, hel...

Nonequilibrium stationary states (NESS) describe the state of a mechanical system driven and maintained out of equilibrium by external forces. The main characteristic of a NESS is that it sustains sustain steady flows or equivalently that it exhibits positive entropy production. We discuss general features of the fluctuations of the entropy production and corresponding flows. The NESS and the e...