Pinwheel Structures Research Articles

First report of konjac mosaic virus in Spuriopimpinella brachycarpa in Korea.

Spuriopimpinella brachycarpa Nakai (Common name, Chamnamul; family Apiaceae) is a plant whose leaves are consumed as a vegetable and used as a folk medicine in Korea (Kim et al., 2020). In February 2020, seven samples of S. brachycarpa leaf showing virus symptoms including yellowing, vein chlorosis, chlorotic lesions, and severe mottling were collected from a greenhouse in Busan, South Korea, to diagnose the potential disease (Fig. S1a, b). The disease incidence rate in the greenhouse was >10% (2,970 m2). To identify the causal virus, we analyzed leaf dip preparation and thin sections of the symptomatic leaves by transmission electron microscopy. Filamentous virus particles and pinwheel structures were observed, indicating the presence of a potyvirus (Fig. S1c, d). To confirm these results, the symptomatic leaf samples were further analyzed by reverse-transcription polymerase chain reaction (RT-PCR) using potyvirus universal primers (Table S2) and direct sequencing of the PCR products. All samples were positive for konjac mosaic virus (KoMV). To exclude the possibility of infection by multiple viruses, we performed high-throughput sequencing (HTS) on an Illumina NovaSeq 6000 system (Macrogen Inc., Seoul, South Korea). There were two contigs (9,267 and 2,851 nt) mapping to KoMV sequences. A large contig (9,267 nt; 705,967 mapped reads; mean read coverage of 11,351.4x) showed about 80% identity (93% coverage) with KoMV-F (GenBank accession no. NC_007913) isolated from Amorphophallus konjac in Japan (Nishiguchi et al., 2006). To isolate KoMV from S. brachycarpa, we mechanically inoculated leaf extracts from symptomatic samples onto Chenopodium quinoa as an assay host via three single-lesion passages, followed by propagation in Nicotiana benthamiana. In a bioassay of the KoMV isolate (KoMV-BS), we mechanically inoculated sap from infected N. benthamiana onto 31 indicator plants including Cryptotaenia japonica (Apiaceae), which is similar to S. brachycarpa (Table S3). KoMV-BS systemically induced vein chlorosis and/or leaf mottling in four Nicotiana species and C. japonica, and chlorotic local lesions in upper leaves of C. quinoa; no symptoms were observed in 25 other indicator plants. These results were confirmed by RT-PCR. Next, we obtained the complete genome sequence of KoMV-BS using HTS and 5' and 3' rapid amplification of cDNA ends, with newly designed primers (Table S2). The assembled full-length KoMV-BS genome sequence was 9,392 nt in length, excluding the poly(A) tail, and encoded a polyprotein composed of 3,060 amino acids. The sequence was deposited in GenBank (accession no. OR001914). BLAST analysis showed 84~88% and 90~98% identities at CP nucleotide and amino acid levels, respectively with the reported KoMV isolates, confirming the virus to be an isolate of KoMV (synonym; Japanese hornwort mosaic virus, zantedeschia mosaic virus) (Adams et al., 2005; Nishiguchi et al., 2006). KoMV infection was first reported in A. konjac from Japan (Shimoyama et al. 1992) and has been spread worldwide as one of the major causal agents of viral diseases in calla lily (Liao et al., 2020). To the best of our knowledge, this is the first report of KoMV infection in S. brachycarpa. To date, cucumber mosaic virus and tobacco mosaic virus have been reported to infect S. brachycarpa in Korea (Yoon et al., 2016; 2017). Our findings will be helpful for developing virus-management strategies to prevent yield and quality loss in S. brachycarpa.

First report of Colombian datura virus in Brugmansia suaveolens in Korea.

Brugmansia suaveolens, known as angel's trumpet, is a perennial ornamental shrub in the Solanaceae with large fragrant flowers. In June 2018, a leaf sample of B. suaveolens that showed virus-like symptoms including chlorotic spots, yellowing and mottle on leaves was collected from a greenhouse in Seongnam, South Korea for disease diagnosis (Supplementary Figure S1a, b). Disease incidence in the greenhouse was greater than 80% for about 2,000 B. suaveolens plants. To identify a causal virus, transmission electron microscopy (TEM) was used to analyze symptomatic leaf samples using leaf dips and thin section methods. Filamentous virus particles and pinwheel structures were observed, indicating the presence of a potyvirus (Supplementary Figure S1c, d). To confirm the TEM results, a symptomatic leaf sample was further analyzed by reverse-transcription polymerase chain reaction (RT-PCR) using species-specific detection primers for three potyviruses that infect Brugmansia spp.: Colombian datura virus (CDV), Brugmansia mosaic virus (BruMV), and Brugmansia suaveolens mottle virus (BsMoV) (Lucinda et al, 2008; Park et al., 2014; Verma et al., 2014). The sample was positive only for CDV. CDV is transmitted by aphids in a nonpersistent manner and mechanical inoculation and can infect plants in the Solanaceae family including tomato and tobacco (Kahn and Bartels 1968; Schubert et al. 2006; Verhoeven et al. 1996) and has been designated a quarantine virus in Korea. Additional analysis of 13 symptomatic B. suaveolens plants from the infected greenhouse found that all samples except one were infected with CDV. To isolate CDV from B. suaveolens, leaf extracts from symptomatic samples were mechanically inoculated on an assay host, Nicotiana tabacum cv. BY via three single-lesion passages followed by propagation in N. benthamiana. For the bioassay of the CDV isolate (CDV-AT-Kr), sap from infected N. benthamiana was mechanically inoculated on 31 indicator plants, including B. suaveolens (Supplementary Table S2). CDV-AT-Kr induced chlorotic local lesions, necrotic local lesions, mottle, and/or mosaic systemically in 10 Nicotiana spp., and mottle and yellowing in tomato. On inoculated B. suaveolens, te mild mottle symptom was reproduced. No symptoms were observed in pepper or Datura stramonium. These results were confirmed by RT-PCR. To characterize CDV-AT-Kr genetically, the complete genome sequence of CDV-AT-Kr was obtained by RT-PCR using specific primers (Supplementary Table S3) and deposited in GenBank (accession no. MW075268). The CDV-AT-Kr RNA consists of 9,620 nt, encoding a polyprotein of 3,076 aa. BLASTn analysis showed that CDV-AT had maximum nucleotide identities of 98.9% at the complete genome level with a CDV isolate (accession no. JQ801448) from N. tabacum in the UK. To our knowledge, this is the first report of CDV infection in B. suaveolens in Korea and the second report in the world of the complete genome sequence. As B. suaveolens is cultivated by vegetative propagation, production and maintenance of virus-free, healthy B. suaveolens is needed. In addition, as new CDV hosts have been repeatedly reported (Pacifico et al., 2016; Salamon et al., 2015; Tomitaka et al., 2014; Verma et al., 2014), we are monitoring nationwide occurrence to prevent the spread of the virus to other crops.

Field‐Driven Reversal Models in Artificial Spin Ice

AbstractA set of topological arrangements of individual ferromagnetic islands in ideal and disordered artificial spin ice (ASI) arrays is investigated in order to evaluate how aspects of their field‐driven reversal are affected by the model used. The set contains the pinwheel and square ice tilings, and thus a range of magnetic ordering and reversal properties are tested. It is found that a simple point dipole model performs relatively well for square ice, but it does not replicate the properties observed in recent experiments with pinwheel ice. Parameterization of the reversal barrier in a Stoner–Wohlfarth model improves upon this, but fails to capture aspects of the physics of ferromagnetic coupling observed in pinwheel structures which have been attributed to the non‐Ising nature of the islands. In particular, spin canting is found to be important in pinwheel arrays, but not in square ones, due to their different symmetries. The authors' findings will improve the modeling of ASI structures for fundamental research and in applications which are reliant upon the ability to obtain and switch through known states using an externally applied field.

Pinwheel Structures of Deprotonated Trimesic Acid on Ag(111): Model and Simulations

The nearest neighbor model is proposed to explain the occurrence of the metal-assisted pinwheel structures of deprotonated trimesic acid molecules on Ag(111). The main bonding interactions of molec...

Organized Neurogenic-Niche-Like Pinwheel Structures Discovered in Spinal Cord Tissue-Derived Neurospheres.

The neurogenic niche of the subventricular zone (SVZ) in adult brain tissue takes the form of a pinwheel-like cytoarchitectural structure, with mono-ciliated astrocytes displaying neural stem cell (NSC) characteristics present in the core surrounded by ciliated ependymal cells. For the first time, we have demonstrated the formation of similar pinwheel structures in spinal cord and SVZ tissue-derived neurospheres cultured in vitro. To investigate whether the organization and integrity of these pinwheel structures depends on the appropriate organization of ciliated astrocytes and ependymal cells, we modified neurosphere cell arrangements via the application of the methyltransferase inhibitor 5-aza-2′-deoxycytidine (5-aza-dc) or the antiviral drug ganciclovir (GCV) in transgenic mice expressing herpes simplex virus thymidine kinase from the GFAP promoter (GFAP-TK). Treatment of neurospheres with 5-aza-dc increased FoxJ1 expression, a crucial factor for ciliogenesis, by reducing methylation of the FoxJ1 CpG island. 5-aza-dc also increased the expression of the astrocyte marker GFAP and caused aberrant accumulation of ciliated astrocytes. However, the ablation of dividing astrocytes within neurospheres by GCV treatment led to an increase in the accumulation of ciliated ependymal cells, as evidenced by the increased expression of the ependymal cell markers Vimentin or CD24. While 5-aza-dc and GCV treatment differentially affected cell arrangement, both compounds significantly diminished the number of pinwheel structures present in neurospheres. Thus, we suggest that the ratio of ciliated astrocytes to ependymal cells plays a crucial role in the correct formation of the pinwheel structures in spinal cord tissue-derived neurospheres in vitro.

3D topology of orientation columns in visual cortex revealed by functional optical coherence tomography.

Orientation tuning is a canonical neuronal response property of six-layer visual cortex that is encoded in pinwheel structures with center orientation singularities. Optical imaging of intrinsic signals enables us to map these surface two-dimensional (2D) structures, whereas lack of appropriate techniques has not allowed us to visualize depth structures of orientation coding. In the present study, we performed functional optical coherence tomography (fOCT), a technique capable of acquiring a 3D map of the intrinsic signals, to study the topology of orientation coding inside the cat visual cortex. With this technique, for the first time, we visualized columnar assemblies in orientation coding that had been predicted from electrophysiological recordings. In addition, we found that the columnar structures were largely distorted around pinwheel centers: center singularities were not rigid straight lines running perpendicularly to the cortical surface but formed twisted string-like structures inside the cortex that turned and extended horizontally through the cortex. Looping singularities were observed with their respective termini accessing the same cortical surface via clockwise and counterclockwise orientation pinwheels. These results suggest that a 3D topology of orientation coding cannot be fully anticipated from 2D surface measurements. Moreover, the findings demonstrate the utility of fOCT as an in vivo mesoscale imaging method for mapping functional response properties of cortex in the depth axis. NEW & NOTEWORTHY We used functional optical coherence tomography (fOCT) to visualize three-dimensional structure of the orientation columns with millimeter range and micrometer spatial resolution. We validated vertically elongated columnar structure in iso-orientation domains. The columnar structure was distorted around pinwheel centers. An orientation singularity formed a string with tortuous trajectories inside the cortex and connected clockwise and counterclockwise pinwheel centers in the surface orientation map. The results were confirmed by comparisons with conventional optical imaging and electrophysiological recordings.

Dystroglycan Suppresses Notch to Regulate Stem Cell Niche Structure and Function in the Developing Postnatal Subventricular Zone

While the extracellular matrix (ECM) is known to regulate neural stem cell quiescence in the adult subventricular zone (SVZ), the function of ECM in the developing SVZ remains unknown. Here, we report that the ECM receptor dystroglycan regulates a unique developmental restructuring of ECM in the early postnatal SVZ. Dystroglycan is furthermore required for ependymal cell differentiation and assembly of niche pinwheel structures, at least in part by suppressing Notch activation in radial glial cells, which leads to the increased expression of MCI, Myb, and FoxJ1, transcriptional regulators necessary for acquisition of the multiciliated phenotype. Dystroglycan also regulates perinatal radial glial cell proliferation and transition into intermediate gliogenic progenitors, such that either acute or constitutive loss of function in dystroglycan results in increased oligodendrogenesis. These findings reveal a role for dystroglycan in orchestrating both the assembly and function of the SVZ neural stem cell niche.

Brain-inspired algorithms for retinal image analysis

Retinal image analysis is a challenging problem due to the precise quantification required and the huge numbers of images produced in screening programs. This paper describes a series of innovative brain-inspired algorithms for automated retinal image analysis, recently developed for the RetinaCheck project, a large-scale screening program for diabetic retinopathy and other retinal diseases in Northeast China. The paper discusses the theory of orientation scores, inspired by cortical multi-orientation pinwheel structures, and presents applications for automated quality assessment, optic nerve head detection, crossing-preserving enhancement and segmentation of retinal vasculature, arterio-venous ratio, fractal dimension, and vessel tortuosity and bifurcations. Many of these algorithms outperform state-of-the-art techniques. The methods are currently validated in collaborating hospitals, with a rich accompanying base of metadata, to phenotype and validate the quantitative algorithms for optimal classification power.

Stroke increases neural stem cells and angiogenesis in the neurogenic niche of the adult mouse.

The unique cellular and vascular architecture of the adult ventricular-subventricular zone (V/SVZ) neurogenic niche plays an important role in regulating neural stem cell function. However, the in vivo identification of neural stem cells and their relationship to blood vessels within this niche in response to stroke remain largely unknown. Using whole-mount preparation of the lateral ventricle wall, we examined the architecture of neural stem cells and blood vessels in the V/SVZ of adult mouse over the course of 3 months after onset of focal cerebral ischemia. Stroke substantially increased the number of glial fibrillary acidic protein (GFAP) positive neural stem cells that are in contact with the cerebrospinal fluid (CSF) via their apical processes at the center of pinwheel structures formed by ependymal cells residing in the lateral ventricle. Long basal processes of these cells extended to blood vessels beneath the ependymal layer. Moreover, stroke increased V/SVZ endothelial cell proliferation from 2% in non-ischemic mice to 12 and 15% at 7 and 14 days after stroke, respectively. Vascular volume in the V/SVZ was augmented from 3% of the total volume prior to stroke to 6% at 90 days after stroke. Stroke-increased angiogenesis was closely associated with neuroblasts that expanded to nearly encompass the entire lateral ventricular wall in the V/SVZ. These data indicate that stroke induces long-term alterations of the neural stem cell and vascular architecture of the adult V/SVZ neurogenic niche. These post-stroke structural changes may provide insight into neural stem cell mediation of stroke-induced neurogenesis through the interaction of neural stem cells with proteins in the CSF and their sub-ependymal neurovascular interaction.

Molecular Diversity Subdivides the Adult Forebrain Neural Stem Cell Population

Neural stem cells (NSCs) in the ventricular domain of the subventricular zone (V-SVZ) of rodents produce neurons throughout life while those in humans become largely inactive or may be lost during infancy. Most adult NSCs are quiescent, express glial markers, and depend on Notch signaling for their self-renewal and the generation of neurons. Using genetic markers and lineage tracing, we identified subpopulations of adult V-SVZ NSCs (type 1, 2, and 3) indicating a striking heterogeneity including activated, brain lipid binding protein (BLBP, FABP7) expressing stem cells. BLBP(+) NSCs are mitotically active components of pinwheel structures in the lateral ventricle walls and persistently generate neurons in adulthood. BLBP(+) NSCs express epidermal growth factor (EGF) receptor, proliferate in response to EGF, and are a major clonogenic population in the SVZ. We also find BLBP expressed by proliferative ventricular and subventricular progenitors in the fetal and postnatal human brain. Loss of BLBP(+) stem/progenitor cells correlates with reduced neurogenesis in aging rodents and postnatal humans. These findings of molecular heterogeneity and proliferative differences subdivide the NSC population and have implications for neurogenesis in the forebrain of mammals during aging.

A new aubergine disease caused by a whitefly‐borne strain of Tomato mild mottle virus (TomMMoV)

The aims of the present study were to further characterize the causal agent of a new viral disease of aubergines in Israel, first observed in 2003 and tentatively named eggplant mild leaf mottle virus (EMLMV) in a previous work, and to identify the vector responsible for its spread. The disease could be transmitted mechanically from infected source plants to healthy aubergines or laboratory test plants. Transmission electron microscopy (TEM) analysis of purified virus preparations indicated the presence of viral particles with a flexible filamentous morphology (approximately 720 nm long). TEM analysis of ultrathin sections prepared from infected leaf tissue revealed the presence of cytoplasmic inclusion bodies with pinwheel and crystalline structures, typical of those induced by potyviral infection. The viral coat protein subunit was shown to have a molecular weight of 37·5 kDa by SDS‐PAGE analysis. The viral particles reacted positively in western blot analysis with an antiserum against Tomato mild mottle virus (TomMMoV) from Yemen, described as a potyvirus, vectored by the aphid Myzus persicae. The current study describes some biological properties of EMLMV and presents evidence for its transmission by the whitefly Bemisia tabaci, but not by three aphid species. The taxonomic relationship between EMLMV and TomMMoV is discussed based on their biological characteristics and sequence analysis of their genomes. It is suggested that the Israeli EMLMV should be considered a distant strain of TomMMoV, designated TomMMoV‐IL, according to the present rules of Potyviridae molecular taxonomy.

Role of NO in the Organization of Ciliated Cells in the Lateral Brain Ventricle

Cilia beating in brain ventricles, lungs, trachea and oviduct are important for normal physiology of these organs. Ciliopathies are diseases associated with the dysfunction of ciliogenesis and cilia function. Low nasal nitric oxide (NO) levels are characteristic of ciliopathies; however, the link of NO with ciliogenesis is unknown. The rationale behind the project was to find the link between medical observations of low NO levels in ciliopathies and molecular mechanisms of NO action in ciliogenesis. We hypothesize that NO is critical to ciliogenesis and function and low levels of NO results in dysfunction in the mucociliary tissue in the brain ventricles. Using immunochemistry, the integrity of the pattern of ciliated cells and the polarity of the cytoskeleton in neuronal NO synthase knock out (nNOS KO) and wild type (WT) mice were assessed. The role of NO in cilia function was investigated by recording the movement of fluorescent beads; in the brain ventricles of WT and nNOS KO mice using Imaris Software. Pinwheel structures were found at the ventricular surfaces in neurogenic areas of the adult brain in both WT and KO. However, ciliated cells surrounding neuro stem cells had a higher planar polarity in WT versus nNOS KO mice. Results also show that NO controls cilia planar polarity in the lateral ventricle of mice and a deficiency of NO causes a decrease in cilia driven flow

Mechanism of Action of Tubulysin, an Antimitotic Peptide from Myxobacteria

Tubulysin A is a highly cytotoxic peptide with antimitotic activity that induces depletion of cell microtubules and triggers the apoptotic process. Treated cells accumulated in the G2/M phase. Tubulysin A inhibited tubulin polymerization more efficiently than vinblastine and induced depolymerization of isolated microtubule preparations. Microtubule depolymerization could not be prevented by preincubation with epothilone B and paclitaxel, neither in cell-free systems nor in cell lines. In competition experiments, tubulysin A strongly interfered with the binding of vinblastine to tubulin in a noncompetitive way; the apparent Ki was 3 microM. Electron microscopy investigations showed that tubulysin A induced the formation of rings, double rings, and pinwheel structures. The mode of action of tubulysin A resembled that of peptide antimitotics dolastatin 10, phomopsin A, and hemiasterlin. Efforts are underway to develop this new group of compounds as anticancer drugs.

Structural Transitions of Nitrogen Confined in Slit Graphite Pores

The structure of ordered phases that are formed when nitrogen is confined in slit graphite pores of height h is investigated using Monte Carlo simulations. The pore wall consists of a single-structured graphite sheet. Canonical ensemble simulations are carried out for temperatures ranging from 15 to 70Kwith layer density distributions, in-plane, out-of-plane angular distributions and snapshots evaluated at different temperatures. At each pore height the pore densities are obtained from independent grand ensemble simulations. At the smallest pore height studied (h)7 A), where a single layer of molecules is accommodated at the center of the pore, the orientations are predominantly wall parallel, forming a biaxially incommensurate herringbone structure.Whentwo or more fluid layers are formed in the slit pore, the orientation of molecules adsorbed next to the wall can exist in either the herringbone or hexagonal phases. In all the multilayered cases studied, with the exception of the h ) 10 A pore, where both wall layers form a commensurate herringbone structure, the low-temperature wall structures are incommensurate, possessing 6-fold hexagonal symmetry. The presence of the pinwheel structures, which were observed at low temperatures in the h ) 12 A and h ) 14 A pores, is determined by the pore height or the proximity and/or density of the adjacent fluid layers when inner layers are present.

Characterization of petunia flower mottle virus (PetFMV), a new potyvirus infecting Petunia x hybrida.

With the introduction of cutting-grown Petunia x hybrida plants on the European market, a new potyvirus which showed no serological reaction with antisera against any other potyviruses infecting petunias was discovered. Infected leaves contained flexuous rod-shaped virus particles of 750-800 nm in length and inclusion bodies (pinwheel structures) typical for potyviruses in ultrathin leaf sections. The purified coat protein with a Mr of approximately 36 kDa could be detected in Western immunoblots with a specific antibody to the coat protein of the petunia-infecting virus. The 3' end of the viral genome encompassing the 3' non-coding region, the coat protein gene, and part of the NIb gene was amplified from infected leaf material by IC/PCR using degenerate and specific primers. Sequences of PCR-generated cDNA clones were compared to other known sequences of potyviruses. Maximum homology of 56% was found in the 3' non-coding region between the petunia isolate and other potyviruses. A maximum homology of 69% was found between the amino acid sequence of the coat protein of the petunia isolate and corresponding sequences of other potyviruses. These data indicate that the petunia-infecting virus is a previously undescribed potyvirus and the name petunia flower mottle virus (PetFMV) is suggested.

Supramolecular aggregates of photoreactive aromatics. Structure, photophysics and photochemistry of stilbene and azobenzene phospholipids

Stilbene and azobenzene-derivatized phospholipids have been synthesized as building blocks to study H-aggregate formation, structure and properties in both bilayer vesicles and LB films. The observed H-aggregates in bilayers display similar spectral characteristics to that in LB films and a strong induced circular dichroism spectrum. Studies of interconversion between H-aggregates and monomers or dimers have established relatively small, integral numbers for aggregate sizes. Based on these results as well as molecular cooling simulation, chiral cyclic pinwheel structures are proposed for these H-aggregates. Single crystal structure of a trans-stilbene derivative ( 4) has been obtained, and its remarkable similarity in structure to compressed monolayer obtained from molecular simulation and almost identical spectra to H-aggregate of stilbene support the proposed herringbone lattice for these aggregates. The very large arrays of aggregates may consist of a “mosaic” of small aggregates. The presence of aggregates as either stable or metastable entities has special consequences for microscopic as well as macroscopic properties of the medium in which they are generated. The aggregates of azobenzene in DPPC vesicles promote reagent release much more efficiently than the correspondent monomer and dimer. Trans—cis photoisomerization of azobenzene aggregates opens a convenient way to establish photoregulatable membrane and related materials.

Henbane mosaic potyvirus pathogenic to wild and cultivated potato

A virus isolated from severely diseased wild plants ofDatura stramonium in Hungary was identified as a strain of henbane mosaic potyvirus (HeMV) by its host range, vector transmissibility, electron microscopy and serology. This W/H isolate of HeMV induced necrotic local lesions onChenopodium quinoa and characteristic systemic symptoms in species ofDatura, Nicotiana andPhysalis but it was apathogenic to species ofCapsicum, Cucumis andPhaseolus. The virus is transmissible by aphids,Myzus persicae, in a non-persistent manner. Electron microscopy showed that it consisted of flexuous filaments, c. 180×12 nm. In plants ofDatura andNicotiana spontaneously infected by and artificially inoculated with HeMV-W/H, pinwheel structures typical of the potyvirus group were found. Serological examinations confirmed the identity of HeMV-W/H with the standard strain of the virus, HeMV-R. Plants of the potato cultivars Desiree and Gracia, graft-inoculated with HeMV-W/H, were latently infected. Inoculated plants of wildSolanum species responded to the virus with systemic symptoms.

Ordering and phase separation of adsorbed binary mixtures

The ground state energy is calculated for mixtures adsorbed on graphite and Ag surfaces. The graphite case considers noble gases adsorbed in a commensurate array, while for Ag the substrate is ignored except for its mediation of the interatomic interaction. The balance between alternative possible structures is sensitive to the assumed interaction, for which realistic potential models are employed. Comparison is made with predictions based on simple combining rules. The cases of Ar mixtures with N 2 or CO on graphite are treated, including both herringbone and pinwheel structures for the N 2. Finite temperature behavior is described qualitatively.

Pinwheel and herringbone structures of planar rotors with anisotropic interactions on a triangular lattice with vacancies

A variety of theoretical techniques, including Monte Carlo (MC), mean field theory, and spin-wave theory, are used to analyze the phase diagram of a system of planar rotors on a triangular lattice with vacancies. A simple anisotropic interaction, which mimics the electric quadrupole–quadrupole interaction for diatomic molecules confined to rotate in the plane of the surface, induces a herringbone-ordered structure for the pure (x = 1) system, whereas for x ≈ 0.75, if the vacancies are free to move, a 2 × 2 pinwheel structure is favored. For x = 0.75, MC calculations give a continuous transition with Ising exponents in agreement with renormalization group predictions for this universality class, the Heisenberg model with corner-type cubic anisotropy. Mean field theory gives the unexpected result that the pinwheel phase is stable only along the herringbone-disordered state coexistence line in the temperature versus chemical potential phase diagram. Spin-wave theory is used to show that there is, in fact, a finite domain of stability for the pinwheel phase, and a complete phase diagram, which encompasses all available information, is conjectured.

Endoplasmic reticulum-derived pinwheels in wheat infected with wheat spindle streak mosaic virus.

A study of pinwheel structures in wheat cells infected with wheat spindle streak mosaic virus in young tissues of infected plants showed that membranous bodies consisting of convoluted plates and tubules originated from the endoplasmic reticulum. These appeared to give rise to pinwheel configurations. Some observations suggest that pinwheel structures in neighboring cells may be interconnected through plasmodesmata.