The nuclear envelope (NE) in animal cells comprises three structures: the nuclear membrane, the nuclear pore complex (NPC), and the lamina. The nuclear membrane is divided into the inner nuclear membrane (INM) and outer nuclear membrane (ONM) based on protein content, but the membranes are contiguous with each other and with the ER. The nuclear membrane covers the chromatin and restricts nuclea...

Let (M, g, σ) be a compact Riemannian surface equipped with a spin structure σ. For any metric ḡ onM , we denote by ΣḡM the spinor bundle associated to ḡ. We let ∆ḡ be the Laplace-Beltrami operator acting on smooth functions of M and Dḡ be the Dirac operator acting on smooth spinor fields with respect to the metric ḡ. We also denote by μ1(ḡ) (resp. λ1(ḡ)) the smallest positive eigenvalue of ∆ḡ ...

We investigate the hydromagnetic effect on viscous incompressible flow between two horizontal parallel porous flat plates with transverse sinusoidal injection of the fluid at the stationary plate and its corresponding removal by periodic suction through the plate in uniform motion. The flow becomes three dimensional due to this injection/suction velocity. Approximate solutions are obtained for ...

We study the problem of preemptive scheduling n jobs with given release times onm identical parallel machines. The objective is to minimize the average ow time. We show that when all jobs have equal processing times then the problem can be solved in polynomial time using linear programming. Our algorithm can also be applied to the open-shop problem with release times and unit processing times. ...

Let us denote V, the finite dimensional vector spaces of functions of the form ψ(x) = pn(x)+ f(x)pm(x) where pn(x) and pm(x) are arbitrary polynomials of degree at most n andm in the variable x while f(x) represents a fixed function of x. Conditions onm,n and f(x) are found such that families of linear differential operators exist which preserve V. A special emphasis is accorded to the cases wh...

THE NUCLEAR ENVELOPE (NE) consists of two continuous membranes, with pores where the inner nuclear membrane (INM) meets the outer nuclear membrane (ONM) (7). V-type ATPases in the plasma membrane and intracellular membranes alter pH ( pH) and generate a transmembrane electrical potential ( ) across plasma membranes and intracellular compartments (6). In the accompanying article by Santos et al....

Let (M,ω) be a connected symplectic manifold on which a connected Lie group G acts properly and in a Hamiltonian fashion with moment map μ : M −→ g∗. Our purpose is investigate multiplicity-free actions, giving criteria to decide a multiplicity freenes of the action. As an application we give the complete classification of multiplicity-free actions of compact Lie groups acting isometrically and...

We address the problem of the continuum limit for a system of Hausdorff lattices (namely lattices of isolated points) approximating a topological space M . The correct framework is that of projective systems. The projective limit is a universal space from which M can be recovered as a quotient. We dualize the construction to approximate the algebra C(M) of continuous functions onM . In a compan...