The adherens junction (AJ) comprises multi-protein complexes required for cell-cell adhesion in embryonic development and adult tissue homeostasis. Mutations in key proteins and mis-regulation of AJ adhesive properties can lead to pathologies such as cancer. In recent years, the zebrafish has become an excellent model organism to integrate cell biology in the context of a multicellular organiza...

The affine synthesis operator Sc = P j>0 P k∈Zd cj,kψj,k is shown to map the mixed-norm sequence space `(`) surjectively onto L(R) under mild conditions on the synthesizer ψ ∈ L(R), 1 ≤ p < ∞, with R Rd ψ dx = 1. Here ψj,k(x) = |det aj |ψ(ajx−k), and the dilation matrices aj expand, for example aj = 2I . Affine synthesis further maps a discrete mixed Hardy space `(h) onto H(R). Therefore the H-...

Lemma 2. Let S be a set, and f a monotone submodular function defined on lists of items in S. Let A,B be any lists of items from S. Denote Aj the list of the first j items in A, U(B) the uniform distribution on items in B and define j = Es∼U(B)[f(Aj−1 ⊕ s)] − f(Aj), the additive error term in competing with the average marginal benefits of the items in B when picking the j item in A (which coul...

  One of the dimensions of human life is its socio-political aspect. In this regard an important issue is the view of Islam towards the formation of government at the age of occultation. Referring to certain traditions, some believe that any kind of uprising and revolution prior to the emergence of Hazrat Qaem (Aj.) will be unlawful and add, “Any flag which is raised prior to the emergenc...

For three positive integers ai, aj , ak pairwise coprime, we present an algorithm that find the least multiple of ai that is a positive linear combination of aj , ak. The average running time of this algorithm is O(Loga1). Using this algorithm and the chinese remainder theorem leads to a direct computation of the Frobenius number f(a1, a2, a3).

Ischemic epithelial cells are characterized by disruption of intercellular junctions and loss of apical-basolateral protein polarity, which are normally dependent on the integrity of the adherens junction (AJ). Biochemical analysis of both whole ischemic kidneys and ATP-depleted Madin-Darby canine kidney (MDCK) cells demonstrated a striking loss of E-cadherin (the transmembrane protein of the A...

The discovery of quantum algorithms that, when executed on a quantum computer (QC), give significant speedup over their classical counterparts [1,2] has given strong impetus to recent developments in the field of quantum computation. In this contribution we present a new quantum algorithm that fully exploits the potential power of a QC. It solves a basic problem of combinatorial optimization: T...

to connect cells together is ‘‘adherens junction (AJ)’’, which comprises cadherin receptors, associated proteins termed catenins, and cytoskeletons. The cadherin–catenin complex interacts with actin filaments via a-catenin. Recent analysis identified linkers between a-catenin and F-actin. The presence or absence of such linkers can alter the morphology of cell junctions, epithelial or mesenchym...

Although cellular signaling pathways that affect lentivirus infection have been investigated, the role of cell-cell interactions in lentiviral gene delivery remains elusive. In the course of our studies we observed that lentiviral gene transfer was a strong function of the position of epithelial cells within colonies. While peripheral cells were transduced efficiently, cells in the center of co...

This paper provides an asymptotic estimate for the expected number of real zeros of a random algebraic polynomial a0 + a1x + a2x + ···+ an−1xn−1. The coefficients aj ( j = 0,1,2, . . . ,n− 1) are assumed to be independent normal random variables withmean zero. For integers m and k = O(logn)2 the variances of the coefficients are assumed to have nonidentical value var(aj) = ( k−1 j−ik ) , where ...