The concentration of depleted uranium (DU) in the environment is expected to increase due to anthropogenic activities, posing potential risks on ecosystems. The effects of chronic exposure to DU at concentration close to the environmental standards (0.3-30 µg DU/L) are scarcely characterised. Genomic alterations caused by low doses of pollutants can potentially propagate over generations, but h...

A differential poset is a partially ordered set with raising and lowering operators U and D which satisfy the commutation relation DU−UD = rI for some constant r. This notion may be generalized to deal with the case in which there exist sequences of constants {qn}n≥0 and {rn}n≥0 such that for any poset element x of rank n, DU(x) = qnUD(x)+rnx. Here, we introduce natural raising and lowering ope...

We approach the problem of unfolding the surface of the cerebral cortex by modeling the problem as a front propagation governed by a Partial Differential Equation (PDE) which is solved using level set techniques. As a first step in this direction, we present multi-scale representations of closed surfaces that preserve their total area or enclosed volume. This is the three-dimensional extension ...

Vectorial Boolean bent functions, which possess the maximal nonlinearity and the minimum differential uniformity, contribute to optimum resistance against linear cryptanalysis and differential cryptanalysis. H vectorial functions is an infinite class of vectorial Boolean bent functions presented by S. Mesnager. This paper is devoted to further characterization of the H vectorial functions. It i...

We present conditions that guarantee spatial uniformity in diffusively-coupled systems. Diffusive coupling is a ubiquitous form of local interaction, arising in diverse areas including multiagent coordination and pattern formation in biochemical networks. The conditions we derive make use of the Jacobian matrix and Neumann eigenvalues of elliptic operators, and generalize and unify existing the...

limited water resources, especially in iran, require most effective method of water use to avoid losses. one of the important parameters in irrigation is water distribution uniformity coefficient (cu) in sprinkler irrigation. cu in every irrigation depends on pressure heads (p), riser height (rh), distance between sprinklers on lateral pipes (sl), and the distance between lateral pipes (sm). th...

Peskir, (and also Meilijson and Ob lój) considered the following optimal stopping problem: find, for an increasing function F and a positive function λ, sup τ E [ F (Sτ ) − ∫ τ 0 λ(Bu)du ] , (1) where S is the maximum process of Brownian motion. In this article we are interested in the converse: find, for an increasing function F and a suitable function λ, sup τ E [ ∫ τ 0 λ(Bu)du − F (Sτ ) ] . ...

The motivating point of our research was differential operators on the noncommutative torus studied by Connes [1, 2], who in particular obtained an index formula for such operators. These operators include shifts (more precisely, in this case, irrational rotations); hence our interest in general differential equations with shifts naturally arose. Let M be a smooth closed manifold. We consider o...

Amifostine metabolites WR-1065 and the disulfide WR-33278 are thiol-containing polyamine analogues with potent radio- and chemoprotective properties. Some studies suggest that amifostine exerts differential cytoprotection in normal versus neoplastic tissues, but this finding remains controversial. To assess the role of the polyamine transport system in radioprotection by amifostine derivatives,...