How to extend Roberts' Law for eccentrically driven, inverted slider-cranks

The extension of Roberts' Law concerns inverted slider-cranks with an eccentricity and a general tracing-point attached to the moving plane of the slider. As both curve-cognates degenerate in this case, the infinite turning-joint has first been replaced by a finite far-away joint, but such that the coupler-plane also meets two accuracy-positions of the erstwhile slider. One of the curve-cognates may then be adapted or modified until up to six accuracy positions are met. They seem to be sufficient to attain an extraordinary good approximation of the entire branch of the original curve. Besides, even the transmission-angle attains a value about twice as large as the one obtained with the auxiliary four-bar representing the first approximation. Cases, where the inverted slider-crank turns into a crank-and-rocker, into a double crank or even into a stretchable four-bar, are shown. The latter corresponds with one of Grashofs border cases for the inverted slider-crank. Roberts' Law then ensures that each inverted slider-crank, having a fully revolving crank, possesses three four-bar branchcognates this way

Ageing without detailed balance: local scale invariance applied to two exactly solvable models

I consider ageing behaviour in two exactly solvable reaction-diffusion systems. Ageing exponents and scaling functions are determined. I discuss in particular a case in which the equality of two critical exponents, known from systems with detailed balance, does not hold any more. Secondly it is shown that the form of the scaling functions can be understood by symmetry considerations.Comment: 6 pages, contribution to the summer school "Ageing and the Glass Transition" held in Luxemburg in September 05. Published versio

From dynamical scaling to local scale-invariance: a tutorial

Dynamical scaling arises naturally in various many-body systems far from equilibrium. After a short historical overview, the elements of possible extensions of dynamical scaling to a local scale-invariance will be introduced. Schr\"odinger-invariance, the most simple example of local scale-invariance, will be introduced as a dynamical symmetry in the Edwards-Wilkinson universality class of interface growth. The Lie algebra construction, its representations and the Bargman superselection rules will be combined with non-equilibrium Janssen-de Dominicis field-theory to produce explicit predictions for responses and correlators, which can be compared to the results of explicit model studies. At the next level, the study of non-stationary states requires to go over, from Schr\"odinger-invariance, to ageing-invariance. The ageing algebra admits new representations, which acts as dynamical symmetries on more general equations, and imply that each non-equilibrium scaling operator is characterised by two distinct, independent scaling dimensions. Tests of ageing-invariance are described, in the Glauber-Ising and spherical models of a phase-ordering ferromagnet and the Arcetri model of interface growth.Comment: 1+ 23 pages, 2 figures, final for

Dissipation of vibration in rough contact

The relationship which links the normal vibration occurring during the sliding of rough surfaces and the nominal contact area is investigated. Two regimes are found. In the first one, the vibrational level does not depend on the contact area, while in the second one, it is propor- tional to the contact area. A theoretical model is proposed. It is based on the assumption that the vibrational level results from a competition between two processes of vibration damping, the internal damping of the material and the contact damping occurring at the interface

The non-linear Schr\"odinger equation and the conformal properties of non-relativistic space-time

The cubic non-linear Schr\"odinger equation where the coefficient of the nonlinear term is a function $F(t,x)$ only passes the Painlev\'e test of Weiss, Tabor, and Carnevale only for $F=(a+bt)^{-1}$, where $a$ and $b$ are constants. This is explained by transforming the time-dependent system into the constant-coefficient NLS by means of a time-dependent non-linear transformation, related to the conformal properties of non-relativistic space-time. A similar argument explains the integrability of the NLS in a uniform force field or in an oscillator background.Comment: Thoroughly revised version, in the light of new interest in non-relativistic conformal tranformation, with a new reference list. 8 pages, LaTex, no figures. To be published in Int. J. Theor. Phy

Swimming like algae: biomimetic soft artificial cilia

Cilia are used effectively in a wide variety of biological systems from fluid transport to thrust generation. Here, we present the design and implemen- tation of artificial cilia, based on a biomimetic planar actuator using soft- smart materials. This actuator is modelled on the cilia movement of the alga Volvox, and represents the cilium as a piecewise constant-curvature robotic actuator that enables the subsequent direct translation of natural articulation into a multi-segment ionic polymer metal composite actuator. It is demonstrated how the combination of optimal segmentation pattern and biologically derived per-segment driving signals reproduce natural cili- ary motion. The amenability of the artificial cilia to scaling is also demonstrated through the comparison of the Reynolds number achieved with that of natural cilia

Transcription Inhibition by DRB Potentiates Recombinational Repair of UV Lesions in Mammalian Cells

Homologous recombination (HR) is intricately associated with replication, transcription and DNA repair in all organisms studied. However, the interplay between all these processes occurring simultaneously on the same DNA molecule is still poorly understood. Here, we study the interplay between transcription and HR during ultraviolet light (UV)-induced DNA damage in mammalian cells. Our results show that inhibition of transcription with 5,6-dichloro-1-beta-D-ribofuranosylbenzimidazole (DRB) increases the number of UV-induced DNA lesions (γH2AX, 53BP1 foci formation), which correlates with a decrease in the survival of wild type or nucleotide excision repair defective cells. Furthermore, we observe an increase in RAD51 foci formation, suggesting HR is triggered in response to an increase in UV-induced DSBs, while inhibiting transcription. Unexpectedly, we observe that DRB fails to sensitise HR defective cells to UV treatment. Thus, increased RAD51 foci formation correlates with increased cell death, suggesting the existence of a futile HR repair of UV-induced DSBs which is linked to transcription inhibition

Cost-Effective Filter Materials Coated with Silver Nanoparticles for the Removal of Pathogenic Bacteria in Groundwater

The contamination of groundwater sources by pathogenic bacteria poses a public health concern to communities who depend totally on this water supply. In the present study, potentially low-cost filter materials coated with silver nanoparticles were developed for the disinfection of groundwater. Silver nanoparticles were deposited on zeolite, sand, fibreglass, anion and cation resin substrates in various concentrations (0.01 mM, 0.03 mM, 0.05 mM and 0.1 mM) of AgNO3. These substrates were characterised by SEM, EDS, TEM, particle size distribution and XRD analyses. In the first phase, the five substrates coated with various concentrations of AgNO3 were tested against E. coli spiked in synthetic water to determine the best loading concentration that could remove pathogenic bacteria completely from test water. The results revealed that all filters were able to decrease the concentration of E. coli from synthetic water, with a higher removal efficiency achieved at 0.1 mM (21–100%) and a lower efficiency at 0.01 mM (7–50%) concentrations. The cation resin-silver nanoparticle filter was found to remove this pathogenic bacterium at the highest rate, namely 100%. In the second phase, only the best performing concentration of 0.1 mM was considered and tested against presumptive E. coli, S. typhimurium, S. dysenteriae and V. cholerae from groundwater. The results revealed the highest bacteria removal efficiency by the Ag/cation resin filter with complete (100%) removal of all targeted bacteria and the lowest by the Ag/zeolite filter with an 8% to 67% removal rate. This study therefore suggests that the filter system with Ag/cation resin substrate can be used as a potential alternative cost-effective filter for the disinfection of groundwater and production of safe drinking water

ONE-YEAR CARDIOVASCULAR OUTCOME IN PATIENTS ON CLOPIDOGREL ANTI-PLATELET THERAPY AFTER ACUTE MYOCARDIAL INFARCTION

The aim of this study was to determine the risk factors in patients on clopidogrel anti-platelet therapy after acute myocardial infarction, for cardiovascular mortality, re-hospitalization and admission to emergency care unit. We followed 175 patients on dual antiplatelet therapy, with clopidogrel and acetylsalicylic acid, for 1 year after acute myocardial infarction, both STEMI and NSTEMI. Beside demographic and clinical characteristics, genetic ABCB1, CYP2C19 and CYP2C9 profile was analyzed using Cox-regression analysis. End-points used were: mortality, re-hospitalization and emergency care visits, all related to cardiovascular system. During the accrual and follow-up period, 8 patients (4.6%) died, mostly as a direct consequence of an acute myocardial infarction. Re-hospitalization was needed in 27 patients (15.4%), in nine patients (33.3%) with the diagnosis of re-infarction. Thirty-two patients (18.3%) were admitted to emergency care unit due to cardiovascular causes, up to 15 times during the follow-up. NSTEMI was an independent predictor of all three events registered (mortality OR=7.4, p<0.05; re-hospitalization OR=2.8, p<0.05); emergency care visit OR=2.4, p<0.05). Other significant predictors were related to kidney function (urea and creatinine level, creatinine clearance), co-morbidities such as arterial hypertension and decreased left ventricular ejection fraction, as well as clopidogrel dosing regimen. As a conclusion, it may be suggested that one of the most significant predictors of cardiovascular events (mortality, re-hospitalization and emergency care visits) is NSTEMI. Besides, clopidogrel administration according to up-to-date guidelines, with high loading doses and initial doubled maintenance doses, improves 1-year prognosis in patients with AMI

POPULATION PHARMACOKINETICS OF 2-OXO-CLOPIDOGREL IN PATIENTS WITH ACUTE CORONARY SYNDROME

The aim of the study was to develop a population pharmacokinetic (PK) model for clearance of 2-oxo-clopidogrel in patients with acute coronary syndrome (ACS). Population pharmacokinetic analysis was performed by using 72 plasma concentrations from the same number of patients (mean age of 60.82±10.76 years; total body weight (TBW) of 73.63±9.67 kg) with ACS using non-linear mixed-effect modeling (NONMEM). Validation of the final PPK model was carried out through the bootstrap analysis with 200 runs and it was used to estimate the predictive performance of the pharmacokinetic model. The typical mean value for 2-oxo-clopidogrel clearance (CL), estimated by the base model (without covariates), in our population was 39.2 l h−1.The value of aspartate transaminase and co-medication with digoxin were determinants of a derived population model. The final regression model for the clearance of 2-oxo-clopidogrel was the following: CL (lh-1) = 1.7 + 1.31*AST + 115*DIGOXIN. The derived PK model describes the clearance of 2-oxo-clopidogrel in patients with ACS, showing that the value of aspartate transaminase and co-medication with digoxin are the most important covariate. This finding will provide the basis for future PK studies