Once adherens junctions (AJs) are formed between polarized epithelial cells they must be maintained because AJs are constantly remodeled in dynamic epithelia. AJ maintenance involves endocytosis and subsequent recycling of E-cadherin to a precise location along the basolateral membrane. In the Drosophila pupal eye epithelium, Rho1 GTPase regulates AJ remodeling through Drosophila E-cadherin (DE...

Existence of positive solutions for the nonlinear fractional differential equation Dsu(x) = f (x,u(x)), 0 < s < 1, has been studied (S. Zhang, J. Math. Anal. Appl. 252 (2000) 804–812), where Ds denotes Riemann–Liouville fractional derivative. In the present work we study existence of positive solutions in case of the nonlinear fractional differential equation: L(D)u= f (x,u), u(0)= 0, 0 < x < 1...

Tuberculosis (TB) is an infectious disease caused by different species of the genus Mycobacte‐ ria. Together with human immunodeficiency virus infection (HIV)/Acquired Immunodefi‐ ciency Syndrome (AIDS) and malaria, tuberculosis is one of the biggest killers in the Word (Rodríguez-Morales AJ et al 2008, Murcia-Aranguren MI et al 2001). Human disease is usu‐ ally caused by Mycobacterium tubercul...

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...