In recent years, the symptoms of viral diseases such as dwarfism, mosaic, discoloration, necrosis, and circular spots have been prevalent in ornamental plants in parks, gardens, and streets in North Khorasan Province. Tomato ring spot virus (ToRSV) belongs to the Nepovirus genus of Secoviridae family. This virus is a major cause of the infection of ornamental plants in the world. In this study,...

Vegetation patches in drylands are localized structures of biomass and water. We study these structures using a mathematical modeling approach that captures biomass-water feedbacks. Biomass-water structures are found to differ in their spatial forms and ecological functions, depending on species type, soil conditions, precipitation range, and other environmental factors. Asymptotic spot structu...

Abstract. Let K be a field and S = K[x1, . . . , xn] be a polynomial ring. A single spot ideal I ⊂ S is a graded ideal whose local cohomology H m (S/I), i < dimS/I and m = (x1, . . . , xn), only has non-trivial value N , a finite length module, at i = depthS/I. We consider characterization of single spot ideals in terms of (long) Bourbaki sequences. The codimension 2 case has been fairly well i...

We study the influence of acoustic fields on the evaporative self-assembly of solute particles suspended inside sessile droplets of complex fluids. The self-assembly process often results in an undesirable ring-like heterogeneous residue, a phenomenon known as the coffee-ring effect. Here we show that this ring-like self-assembly can be controlled acoustically to form homogeneous disc-like or c...

Using a new extraction line currently under construction, the ATF2 experiment plans to test the novel compact final focus optics design with local chromaticity correction intended for use in future linear colliders. With a 1.3 GeV design beam of 30nm normalised vertical emittance extracted from the ATF damping ring, the primary goal is to achieve a vertical spot-size at the IP waist of 37nm. We...

We propose a simple PDE model which exhibits self-replication of spot solutions in any dimension. This model is analysed in one and higher dimensions. In the radially symmetric case, we rigorously demonstrate that a weakened version of the conditions proposed by Nishiura and Ueyama for self-replication are satisfied. In dimension three, two different types of replication mechanisms are analysed...

In this paper, we present the pattern analysis of autoradiogram images obtained in two-dimensional gel electrophoresis based on the RLGS (restriction landmark genome scanning) method [1]. On a RLGS autoradiogram image, several thousands of spots can be observed; one spot corresponds to one genetic locus and its intensity re ects the copy number of the restriction landmark. In the rst step of th...