beta-catenin mutations that constitutively activate the canonical Wnt signaling have been observed in a subset of hepatocellular carcinomas (HCCs). These are associated with chromosomal stability, low histological grade, tumor invasion and better patient survival. We hypothesized is selectively activated well-differentiated, but repressed poorly differentiated HCCs. To this aim, we characterized differentiation status HCC cell lines compared their expression pathway genes, explored activity...

Abstract It has been known that the fractional ODEs involving Riemann–Liouville derivatives maintain many “analogies” of classic elliptic-type properties, including maximum principles, Hopf’s Lemma, existence real eigenvalues, etc. However, in this short work, we construct a counterexample demonstrating Caputo-type operators (and their compositions) fail to uphold principle and lemma. This finding is somewhat unexpected serves as benchmark problem or counterexample, reminding us remain...

Abstract Objectives Coronavirus 2019 disease (COVID‐19) lead to one of the pandemics last century. We aimed predict poor prognosis among severe patients early intervention. Methods The data 534 hospitalized were assessed retrospectively. Risk factors and laboratory tests that might enable prediction defined as being transferred intensive care unit and/or exitus have been investigated. Results At admission, 398 (74.5%) mild‐moderate ill. It was determined male gender, advanced age,...

We describe a spectrally filtered discrete-in-time downscaling data assimilation algorithm and prove, in the context of two-dimensional Navier--Stokes equations, that this works for general class interpolants, such as those based on local spatial averages well point measurements velocity. Our is classical technique inserting new observational directly into dynamical model it being evolved over time, rather than nudging, extends previous results which observations were defined terms an...

In porous media, there are three known regimes of fluid flows, namely, pre-Darcy, Darcy, and post-Darcy. Because their different natures, these usually treated separately in the literature. To study complex flows when all may be present portions a same domain, we use single equation motion to unify them. Several scenarios models then considered for slightly compressible fluids. A nonlinear parabolic pressure is derived, which degenerate gradient either small or large. We estimate its time...

We study the generalized Forchheimer flows of slightly compressible fluids in heterogeneous porous media. The media's porosity and coefficients equation are functions spatial variables. partial differential for pressure is degenerate its gradient can be both singular Suitable weighted Lebesgue norms pressure, time derivative estimated. continuous dependence on initial boundary data established with respect to those corresponding norms. Asymptotic estimates derived even unbounded as tends infinity.

<p style='text-indent:20px;'>This work establishes the parallel between properties of classic elliptic PDEs and one-sided 1-D fractional diffusion equation, that includes characterization Sobolev spaces in terms Riemann-Liouville (R-L) derivatives, variational formulation, maximum principle, Hopf's Lemma, spectral analysis, theory on principal eigenvalue its characterization, etc. As an application, developed results provide a novel perspective to study distribution complex roots class...

Self-sustained oscillations of a free-shear flow, i.e., jet, mixing layer, or wake, can arise from its impingement upon downstream boundary; these are well documented. The present experiments demonstrate the existence analogous for case shear layer along perforated plate. spectrum pressure fluctuation at shows sharply defined peaks. Moreover, predominant frequency oscillation exhibits variation with either length inflow velocity that is remarkably similar to corresponding in absence...

This paper is focused on the generalized Forchheimer flows of compressible fluids in porous media. The gravity effect and other general nonlinear forms source term boundary flux are integrated into model. We derive a doubly parabolic equation for so-called pseudo-pressure, study its initial value problem subject to Robin condition. growth rates condition arbitrarily large. maximum solution, positive time, estimated terms certain Lebesgue norms data. gradient estimates obtained under...

Abstract This work explores the possibility of developing analog some classic results from elliptic PDEs for a class fractional ODEs involving composition both left- and right-sided Riemann-Liouville (R-L) derivatives, $${D^\alpha _{a+}}{D^\beta _{b-}}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msubsup> <mml:mi>D</mml:mi> <mml:mi>a</mml:mi> <mml:mo>+</mml:mo> </mml:mrow> <mml:mi>α</mml:mi> </mml:msubsup> <mml:mi>b</mml:mi> <mml:mo>-</mml:mo>...

This study investigated the release of metals and nutrients from municipal industrial sludge using plant-derived biosurfactant (saponin) microbial-derived (rhamnolipid).It also recovery released by a in form struvite.Compared to saponin, levels were higher for rhamnolipid.The removal efficiencies Ni, Cr, Fe Zn at 5/1 liquid/solid ratio with 7% rhamnolipid concentration 55.37%, 15.52%, 9.70%, 4.20%, respectively.Compared sludge, less metal was rhamnolipid, whereas higher.Therefore, hydrolyzed...

Turbulent shear flow past a perforated plate bounded by closed cavity can give rise to highly coherent oscillations, which have wavelength of the order length. The present investigation focuses on coupling between unsteady events either side when oscillations are self-sustaining. A cinema technique high-image-density particle image velocimetry, provides space-time representation unsteadiness at large number locations over entire planes, is employed characterize distinctively different...

This paper presents the task definition, resources, and single participant system for Task 12: Turkish Lexical Sample (TLST), which was organized in SemEval-2007 evaluation exercise. The methodology followed developing specific linguistic resources necessary has been described this context. A language-specific feature set defined Turkish. TLST consists of three pieces data: dictionary, training data, data. Finally, a that utilizes simple statistical method submitted evaluated.

A. Previous Related Investigations G ENERATION of highly coherent oscillations caused by grazing flow past a cavity, in the absence perforated or slotted plate, has been subject variety investigations recent decades. The conditions for onset oscillation, characterization dimensionless frequency and amplitude, techniques control are addressed works DeMetz Farabee,1 Knisely Rockwell,2 Blake,3 Gharib Roshko,4 Burroughs Stinebring,5 Howe,6,7 Rockwell,8 Ziada,9 Zoccola Farabee,10 Kuo Huang,11...

Abstract Cerebral blood flow was measured in normal waking (alert relaxed mental imagery) and hypnotic states. Mean velocity (Vm) the middle cerebral artery (MCA) significantly increased hypnosis (Condition II) from Condition I (5 minutes before induction). Vm decreased III (hypnotic imagination). After hypnosis, values returned to baseline. Pulsatility index resistive showed significant variations during sonographic monitoring between Conditions IV after completion of hypnosis). Both were...

During a senior level thermal system design class given at York College of Pennsylvania, customer-based project has been implemented. This provides the students with opportunity to apply knowledge that they learned in and allows them think creatively achieve task. For this project, are required prepare proposal based on needs customer deliver written report end semester. The main purpose is an interactive museum display show working principle ram pump for County Heritage Trust Museum....

Abstract NOTE: The first page of text has been automatically extracted and included below in lieu an abstract An Automated Bottle Filling Capping Project for Freshman Engineering Students Abstract: All freshman engineering students at York College participate a spring semester design challenge as part year-long, two-course introduction to engineering. This paper describes the course organization, project goals, itself how it supports broader curriculum goals engaging project, exposing them...