Spiral organization of quasi-periodic shrimp-shaped domains in a discrete predator-prey system.

In this paper, we report the discovery of some novel dynamical scenarios for quasi-periodic shrimp-shaped structures embedded within chaotic phases in bi-parameter space of a discrete predator-prey system. By constructing high-resolution, two-dimensional stability diagrams based on Lyapunov exponents, we observe the abundance of both periodic and quasi-periodic shrimp-shaped organized domains in a certain parameter space of the system. A comprehensive comparative analysis is conducted to elucidate the similarities and differences between these two types of shrimps.

Dermatomyositis Associated With High-Grade B-Lymphoproliferative Disorders: A Case Report and Literature Review.

Dermatomyositis (DM) and polymyositis are idiopathic inflammatory myopathies (IIMs), most associated with solid organ malignancies, and less commonly hematological malignancies. We discuss a case of DM associated with diffuse large B-cell lymphoma, followed by a review of literature on the pathogenesis, clinical course, treatment, and prognosis. Various challenges with the diagnosis and management of underlying lymphoproliferative disorders (LPDs) in patients with IIM are discussed.

Contracted porphyrins and calixpyrroles: synthetic challenges and ring-contraction effects.

Ring-contracted porphyrin analogues, such as subporphyrins and calix[3]pyrroles, have recently attracted considerable attention not only as challenging synthetic targets but also as functional macrocyclic compounds. Although canonical porphyrins and calix[4]pyrrole are selectively generated acid-catalyzed condensation reactions of pyrrole monomers, their tripyrrolic analogues are always missing under similar conditions. Recent progress in synthesis has shown that strain-controlled approaches using boron(iii)-templating, core-modification, or ring tightening provide access to various contracted porphyrins.