Small heat shock proteins (sHsps) can efficiently prevent the aggregation of unfolded proteins in vitro. However, how this in vitro activity translates to function in vivo is poorly understood. We demonstrate that sHsps of Escherichia coli, IbpA and IbpB, co-operate with ClpB and the DnaK system in vitro and in vivo, forming a functional triade of chaperones. IbpA/IbpB and ClpB support independ...

In this paper we propose a class of high order numerical methods to delta function integrals appearing in level set methods in the three dimensional case by extending the idea for designing high order methods to two dimensional delta function integrals in [X. Wen, J. Comput. Phys., 228 (2009), pp. 4273–4290]. The methods comprise approximating the mesh cell restrictions of the delta function in...

Delta-catenin (delta-catenin) is a neuron-specific catenin, which has been implicated in adhesion and dendritic branching. Moreover, deletions of delta-catenin correlate with the severity of mental retardation in Cri-du-Chat syndrome (CDCS), which may account for 1% of all mentally retarded individuals. Interestingly, delta-catenin was first identified through its interaction with Presenilin-1 ...

We discuss the asymptotic behaviour of solutions for the nonlocal quasilinear hyperbolic problem of Kirchhoff Type [ u_{tt}-phi (x)||nabla u(t)||^{2}Delta u+delta u_{t}=|u|^{a}u,, x in mathbb{R}^{N} ,,tgeq 0;,]with initial conditions $u(x,0) = u_0 (x)$ and $u_t(x,0) = u_1 (x)$, in the case where $N geq 3, ; delta geq 0$ and $(phi (x))^{-1} =g (x)$  is a positive function lying in $L^{N/2}(mathb...

Using a smoothing function and recent knowledge on the zeros of Riemann zeta-function, we compute pairs $(\Delta,x_0)$ such that for all $x \geq x_0$ there exists at least one prime in interval $(x(1 - \Delta^{-1}), x]$.

This paper is an attempt to prove the following result:Let $n>1$ be an integer and let $mathcal{R}$ be a $n!$-torsion-free ring with the identity element. Suppose that $d, delta, varepsilon$ are additive mappings satisfyingbegin{equation}d(x^n) = sum^{n}_{j=1}x^{n-j}d(x)x^{j-1}+sum^{n-1}_{j=1}sum^{j}_{i=1}x^{n-1-j}Big(delta(x)x^{j-i}varepsilon(x)+varepsilon(x)x^{j-i}delta(x)Big)x^{i-1}quadend{e...

We introduce a new class of multiplications of distributions in one dimension merging together two different regularizations of distributions. Some of the features of these multiplications are discussed in a certain detail. We use our theory to study a certain number of examples, involving products between Dirac delta functions and its successive derivatives.

In the paper the manner in which certain Dirac sequences appear to the representation of the concentrated forces and moment by distributions is shown. The generalized solutions of the problems from elastostatics regarding the elastic help-plane and half-space are given with the help of the certain Dirac sequences.