The present paper discusses the di↵usion approximation of the linear Boltzmann equation in cases where the collision frequency is not uniformly large in the spatial domain. Our result applies for instance to the case of radiative transfer in a composite medium with optically thin inclusions in an optically thick background medium. The equation governing the evolution of the approximate particle...

The female genital tract is capable of active transport that can be demonstrated by serial scintigraphic imaging over time (radionuclide hysterosalpingography; RN-HSG). RN-HSG has been suggested to offer a more functional approach to tubal infertility diagnosis than conventional patency tests. However, before RN-HSG can be recommended as a routine method, its reliability in showing active trans...

BACKGROUND Immunohistochemical studies of the rheumatoid nodule (RN) suggest it is a Th1 granuloma, with focal vasculitis, yet the pathogenesis remains unclear and little is known about circulating cytokines in these patients. OBJECTIVE We studied circulating cytokines in DMARD-naïve RA patients to investigate associations with subcutaneous RN. METHODS 149 DMARD-naïve adults with early RA (...

Let n, k, and r be nonnegative integers and let Sn be the symmetric group. We introduce a quotient Rn,k,r of the polynomial ring Q[x1, . . . , xn] in n variables which carries the structure of a graded Sn-module. When r > n or k = 0 the quotient Rn,k,r reduces to the classical coinvariant algebra Rn attached to the symmetric group. Just as algebraic properties of Rn are controlled by combinator...

In vitro experiments were conducted to study the responses of potato (Solanum tuberosum L.) genotypes osmotic stress. shoot cultures 27 breeding lines and their drought-tolerant parents (referent lines: C103 C107) tested under stress induced by addition PEG 6000 (Mw = 6000; 5.0, 7.5, 10.0%, w/v), D-mannitol (0.1, 0.2, 0.3 M) 600 600; 2.5, 7.5%, w/v) Murashige-Skoog medium. Stress index (SI) was...

Abstract In this paper we prove the existence of solutions for a boundary value nonlinear neutral integrodifferential problem in Rn defined on an unbounded interval. The result is obtained by using the Schaefer fixed point theorem and by using a recent result [4] on compactness of a continuous operator K : BC(I,Rn) → BC(I,Rn); here BC(I,Rn) is the Banach space of continuous functions from the (...

Theorem 1.1 (Eilenberg). Let X be an abstract set and let (Rn)n=0 be a sequence of equivalence relations in X such that (i) X ×X = R0 ⊇ R1 ⊇ ··· ; (ii) ⋂∞ n=0Rn = ∆, the diagonal in X ×X ; (iii) given a sequence (xn)n=0 such that (xn,xn+1) ∈ Rn for all n ∈ N0, there is an x ∈ X such that (xn,x) ∈ Rn for all n∈ N0. If F is a self-map of X such that given n∈ N0 and x, y ∈ X , (x, y) ∈ Rn =⇒ (Fx,F...

INTRODUCTION Radiation necrosis (RN) and pseudoprogression are known as postradiation treatment effects and may simulate tumor progression. The disease course of glioblastoma patients who had developed RN and the impact of resecting RN on survival have not been evaluated. This study examines the clinical course of patients considered candidates for repeat surgery for a recurring brain mass prov...

Sensory feedback from sleep-related myoclonic twitches is thought to drive activity-dependent development in spinal cord and brain. However, little is known about the neural pathways involved in the generation of twitches early in development. The red nucleus (RN), source of the rubrospinal tract, has been implicated in the production of phasic motor activity during active sleep in adults. Here...

We explore the use of Granular Activated Carbon (GAC) as a mitigation technique for the treatment of drinking water that was artificially enriched with Rn-222 in laboratory by placing a radium rich granite stone (pitchblende) in a closed container filled with tap water for several days in order to allow Rn-222 concentration to approach its highest possible level. Granular Activated Carbon (GAC)...