37 research outputs found
Pressure and Motion of Dry Sand -- Translation of Hagen's Paper from 1852
In a remarkable paper from 1852, Gotthilf Heinrich Ludwig Hagen measured and
explained two fundamental aspects of granular matter: The first effect is the
saturation of pressure with depth in a static granular system confined by silo
walls -- generally known as the Janssen effect. The second part of his paper
describes the dynamics observed during the flow out of the container -- today
often called the Beverloo law -- and forms the foundation of the hourglass
theory. The following is a translation of the original German paper from 1852.Comment: 4 pages, accepted for publication in Granular Matter, original
article (German) can be found under http://www.phy.duke.edu/~msperl/Janssen
Asparagine synthetase expression is linked with L-asparaginase resistance in TEL-AML1-negative but not TEL-AML1-positive pediatric acute lymphoblastic leukemia
Resistance to L-asparaginase in leukemic cells may be caused by an
elevated cellular expression of asparagine synthetase (AS). Previously, we
reported that high AS expression did not correlate to L-asparaginase
resistance in TEL-AML1-positive B-lineage acute lymphoblastic leukemia
(ALL). In the present study we confirmed this finding in TEL-AML1-positive
patients (n = 28) using microarrays. In contrast, 35
L-asparaginase-resistant TEL-AML1-negative B-lineage ALL patients had a
significant 3.5-fold higher AS expression than 43 sensitive patients (P <
.001). Using real-time quantitative polymerase chain reaction (RTQ-PCR),
this finding was confirmed in an independent group of 39 TEL-AML1-negative
B-lineage ALL patients (P = .03). High expression of AS was associated
with poor prognosis (4-year probability of disease-free survival [pDFS]
58% +/- 11%) compared with low expression (4-year pDFS 83% +/- 7%; P =
.009). We conclude that resistance to l-asparaginase and relapse risk are
associated with high expression of AS in TEL-AML1-negative but not
TEL-AML1-positive B-lineage ALL
Granular discharge and clogging for tilted hoppers
We measure the flux of spherical glass beads through a hole as a systematic
function of both tilt angle and hole diameter, for two different size beads.
The discharge increases with hole diameter in accord with the Beverloo relation
for both horizontal and vertical holes, but in the latter case with a larger
small-hole cutoff. For large holes the flux decreases linearly in cosine of the
tilt angle, vanishing smoothly somewhat below the angle of repose. For small
holes it vanishes abruptly at a smaller angle. The conditions for zero flux are
discussed in the context of a {\it clogging phase diagram} of flow state vs
tilt angle and ratio of hole to grain size
Wide shear zones and the spot model: Implications from the split-bottom geometry
The spot model has been developed by Bazant and co-workers to describe
quasistatic granular flows. It assumes that granular flow is caused by the
opposing flow of so-called spots of excess free volume, with spots moving along
the slip lines of Mohr-Coulomb plasticity. The model is two-dimensional and has
been successfully applied to a number of different geometries. In this paper we
investigate whether the spot model in its simplest form can describe the wide
shear zones observed in experiments and simulations of a Couette cell with
split bottom. We give a general argument that is independent of the particular
description of the stresses, but which shows that the present formulation of
the spot model in which diffusion and drift terms are postulated to balance on
length scales of order of the spot diameter, i.e. of order 3-5 grain diameters,
is difficult to reconcile with the observed wide shear zones. We also discuss
the implications for the spot model of co-axiality of the stress and strain
rate tensors found in these wide shear flows, and point to possible extensions
of the model that might allow one to account for the existence of wide shear
zones.Comment: 6 pages, 6 figures, to be published in EPJ