A continuous function f u iv is a complex-valued harmonic function in a complex domain C if both u and v are real harmonic inC. In any simply connected domainD ⊆ C, we canwrite f h g, where h and g are analytic in D. We call h the analytic part and g the co-analytic part of f . Note that f h g reduces to h if the coanalytic part g is zero. For p ≥ 1, denote by H p the set of all multivalent har...

Sgc8c aptamers on a stiff polymer scaffold form multivalent inhibitor targeting acute lymphoblastic leukemia.

We investigate the effects of image charges, interfacial charge discreteness, and surface roughness on spherical electric double layer structures in electrolyte solutions with divalent counterions in the setting of the primitive model. By using Monte Carlo simulations and the image charge method, the zeta potential profile and the integrated charge distribution function are computed for varying...

The interactions of cell surface carbohydrates as well as of soluble glycoconjugates with their receptor proteins rule fundamental processes in cell biology. One of the supramolecular principles underlying and regulating carbohydrate recognition is multivalency. Many multivalent glycoconjugates have therefore been synthesized to study multivalency effects operative in glycobiology. This review ...

A simple fabrication program of graphene oxide (GO) membranes was developed in this work. The GO exhibit ultrahigh water permeances together with high multivalent ion rejection rates.

A multivalent lacto-N-fucopentaose (LNFP) III-lysyllysine conjugate was observed to decompact preimplantation mouse embryos. Decompaction was not obtained with free oligosaccharides (LNFP II and III), nor with multivalent LNFP II-lysyllysine or chitotriose-lysyllysine conjugates. These results suggest a role for X hapten recognition during compaction and suggest further that X hapten valency ma...

Let Ap(n) be the class of analytic and multivalent functions f(z) in the open unit disk U. Furthermore, let Sp(n, α) and Tp(n, α) be the subclasses of Ap(n) consisting of multivalent starlike functions f(z) of order α and multivalent convex functions f(z) of order α, respectively. Using the coefficient inequalities for f(z) to be in Sp(n, α) and Tp(n, α), new subclasses S∗ p (n, α) and T ∗ p (n...

We propose a mechanism for the stabilization/destabilization of cell membranes by multivalent ions with an emphasis on its implications for the division and fusion of cells. We find that multivalent cations preferentially adsorbed onto a membrane dramatically changes the membrane stability. They not only reduce the surface charge density of the membrane but also induce a repulsive barrier to po...

Glycosaminoglycans are sulfated polysaccharides that play important roles in fundamental biological processes, such as cell division, viral invasion, cancer and neuroregeneration. The multivalent presentation of multiple glycosaminoglycan chains on proteoglycan scaffolds may profoundly influence their interactions with proteins and subsequent biological activity. However, the importance of this...