The binding of antigen to cells with antibody on their surface has been studied in a model system consisting of murine myeloma cells (MOPC 315) and DNP conjugates. Specific binding occurred between the DNP groups of DNP conjugates and cell surface immunoglobulin. Using this model, the binding affinities of multivalent and univalent DNP conjugates were measured directly by equilibrium-binding te...

Clostridial and spinach ferredoxins, reduced enzymatically by the action of ferredoxin-TPN+ oxidoreductase, have been shown to carry out the univalent reduction of oxygen. The superoxide radicals, so generated, were detected by their ability to cause the oxidation of epinephrine to adrenochrome. Superoxide dismutase prevented the production of adrenochrome in these reaction mixtures, while havi...

and Applied Analysis 3 The equation satisfied by the free boundary is 4, 6 Re [ Ḟ ζ, t ζF ′ ζ, t ] Q 2π , ζ e 1.5 for the zero tension surface model and Re [ Ḟ ζ, t ζF ′ ζ, t ] Q 2π − γH [ i ∂k ∂t ( e, t )] θ , ζ e 1.6 for the small surface tension model. 2. The Inner Problem (Bounded Domains) In this section, we obtain the invariance in time ofΦ-likeness property for the inner problem. Startin...

The well-known Schwarz–Pick lemma states that any analytic mapping φ of the unit disk U into itself satisfies the inequality |φ′(z)| ≤ 1− |φ(z)| 2 1− |z|2 , z ∈ U. This estimate remains the same if we restrict ourselves to univalent mappings. The lower estimate is |φ′(z)| ≥ 0 generally or |φ′(z)| > 0 for univalent functions. To make the lower estimate nontrivial we consider univalent functions ...

In the present paper, we introduce and study a subclass of analytic univalent functions associated with Beta negative binomial distribution series which is defined in open unit disk U. We discuss some important geometric properties this subclass, like, coefficient estimates, extreme points integral representation. Also, obtain results about mean fractional integral.

The first author proved that the harmonic convolution of a normalized right half-plane mapping with either another normalized right halfplane mapping or a normalized vertical strip mapping is convex in the direction of the real axis. provided that it is locally univalent. In this paper, we prove that in general the assumption of local univalency cannot be omitted. However, we are able to show t...

Clostridial and spinach ferredoxins, reduced enzymatically by the action of ferredoxin-TPN+ oxidoreductase, have been shown to carry out the univalent reduction of oxygen. The superoxide radicals, so generated, were detected by their ability to cause the oxidation of epinephrine to adrenochrome. Superoxide dismutase prevented the production of adrenochrome in these reaction mixtures, while havi...

We give a criterion for q-valent analytic functions in the unit disk to belong to Q K , a Möbius-invariant space of functions analytic in the unit disk in the plane for a nonde-creasing function K : [0, ∞) → [0, ∞), and we show by an example that our condition is sharp. As corollaries, classical results on univalent functions, the Bloch space, BMOA, and Q p spaces are obtained. 1. Introduction....