Singly generated quasivarieties and residuated structures

A quasivariety K of algebras has the joint embedding property (JEP) iff it is generated by a single algebra A. It is structurally complete iff the free countably generated algebra in K can serve as A. A consequence of this demand, called "passive structural completeness" (PSC), is that the nontrivial members of K all satisfy the same existential positive sentences. We prove that if K is PSC then it still has the JEP, and if it has the JEP and its nontrivial members lack trivial subalgebras, then its relatively simple members all belong to the universal class generated by one of them. Under these conditions, if K is relatively semisimple then it is generated by one K-simple algebra. It is a minimal quasivariety if, moreover, it is PSC but fails to unify some finite set of equations. We also prove that a quasivariety of finite type, with a finite nontrivial member, is PSC iff its nontrivial members have a common retract. The theory is then applied to the variety of De Morgan monoids, where we isolate the sub(quasi)varieties that are PSC and those that have the JEP, while throwing fresh light on those that are structurally complete. The results illuminate the extension lattices of intuitionistic and relevance logics

∗\ast-SDYM Fields and Heavenly Spaces. I. ∗\ast-SDYM equations as an integrable system

It is shown that the self-dual Yang-Mills (SDYM) equations for the $\ast$-bracket Lie algebra on a heavenly space can be reduced to one equation (the \it master equation\rm). Two hierarchies of conservation laws for this equation are constructed. Then the twistor transform and a solution to the Riemann-Hilbert problem are given.Comment: 25 page

Mutations in Radial Spoke Head Genes and Ultrastructural Cilia Defects in East-European Cohort of Primary Ciliary Dyskinesia Patients

Primary ciliary dyskinesia (PCD) is a rare (1/20,000), multisystem disease with a complex phenotype caused by the impaired motility of cilia/flagella, usually related to ultrastructural defects of these organelles. Mutations in genes encoding radial spoke head (RSPH) proteins, elements of the ciliary ultrastructure, have been recently described. However, the relative involvement of RSPH genes in PCD pathogenesis remained unknown, due to a small number of PCD families examined for mutations in these genes. The purpose of this study was to estimate the involvement of RSPH4A and RSPH9 in PCD pathogenesis among East Europeans (West Slavs), and to shed more light on ultrastructural ciliary defects caused by mutations in these genes. The coding sequences of RSPH4A and RSPH9 were screened in PCD patients from 184 families, using single strand conformational polymorphism analysis and sequencing. Two previously described (Q109X; R490X) and two new RSPH4A mutations (W356X; IVS3_2–5del), in/around exons 1 and 3, were identified; no mutations were found in RSPH9. We estimate that mutations in RSPH4A, but not in RSPH9, are responsible for 2–3% of cases in the East European PCD population (4% in PCD families without situs inversus; 11% in families preselected for microtubular defects). Analysis of the SNP-haplotype background provided insight into the ancestry of repetitively found mutations (Q109X; R490X; IVS3_2–5del), but further studies involving other PCD cohorts are required to elucidate whether these mutations are specific for Slavic people or spread among other European populations. Ultrastructural defects associated with the mutations were analyzed in the transmission electron microscope images; almost half of the ciliary cross-sections examined in patients with RSPH4A mutations had the microtubule transposition phenotype (9+0 and 8+1 pattern). While microtubule transposition was a prevalent ultrastructural defect in cilia from patients with RSPH4A mutations, similar defects were also observed in PCD patients with mutations in other genes

Diagnosis and treatment of thyroid cancer in children in the multicenter analysis in Poland for PPGGL

Introduction: Differentiated thyroid carcinoma (DTC) in children presents different biological behavior in comparison to adults. Authors presents preliminary results of multicenter analysis concerning incidence, diagnostics and treatment of DTC in children. Material and methods: The study is a retrospective analysis of 107 pediatric patients from 14 academic centers based on the data from 2000 to 2005 obtained by questionnaire in hospitals involved in the treatment of DTC in children. Results: Papillary thyroid cancer was diagnosed in 83 children, follicular thyroid cancer in 10 children and medullary thyroid cancer in 14 children. Incidence of DTC in children was estimated between 18 and 23 cases per year. The biggest group of patients consisted of children between 11 and 15 years of age, with girls to boys ratio 3.3 : 1. Clinically DTC in children presented most often as solitary thyroid nodule. Cervical lymphadenopathy was observed in 42% of patients. Intraoperative verification indicated metastatic nodes in 50% of children. Low stage DTC predominated (T1 in 36% and T2 in 26% of children). One step surgery was performed in 65% of children with DTC, two step surgery in 25% of patients. I131 therapy was undertaken in 80% of children. Lung metastases were indicated in post therapeutic studies in 14% of children with DTC. Prophylactic thyroidectomies were performed in 79% of children in the group of patients with MTC and RET gene mutations. Conclusions: The necessity of introduction of unified therapeutic standard in children with DTC in Poland is underlined.Wstęp: Zróżnicowane raki tarczycy (DTC, differentiated thyroid carcinoma) występują u dzieci rzadko. Większość przypadków wykrywanych jest w wieku 11-17 lat. W odróżnieniu od dorosłych DTC u dzieci prezentują odmienne zachowanie biologiczne. Mała liczba przypadków DTC w poszczególnych ośrodkach oraz względnie łagodny ich przebieg utrudniają ocenę występowania i leczenia DTC u dzieci w Polsce, uzależniając ją od wysiłków włożonych w uzyskanie rzetelnych danych. Autorzy przedstawiają wstępne wyniki analizy wieloośrodkowej dotyczące występowania, diagnostyki i leczenia DTC u dzieci. Materiał i metody: Podjęte badania są retrospektywną analizą obejmującą lata 2000-2005, opartą na danych z historii chorób uzyskanych z ankiet rozesłanych do ośrodków dla dzieci i dorosłych podejmujących leczenie DTC. Do analizy zgłoszono 107 pacjentów z 14 ośrodków akademickich w Polsce. Analizie poddano wiek i płeć dzieci z DTC, wielkość i lokalizację zmian w tarczycy, sposoby rozpoznawania DTC, rodzaje i zakres wykonywanych zabiegów operacyjnych oraz leczenie uzupełniające izotopem J131. Wyniki: Raka brodawkowatego stwierdzono u 83 dzieci, pęcherzykowego u 10 dzieci, a rdzeniastego u 14 dzieci. Częstość występowania DTC u dzieci w Polsce wahała się między 18 a 23 przypadkami rocznie. W województwach: mazowieckim i połączonych wielkopolskim i lubuskim wykazano w okresie 2000-2005 wyższą (24 i 25) częstość występowania DTC, w pozostałych województwach wykazywano od 2 do 10 przypadków DTC. Największą grupę pacjentów stanowiły dzieci w wieku 11-15 lat, a stosunek dziewcząt do chłopców wynosił 3,3 : 1. Klinicznie DTC prezentowały się najczęściej jako pojedyncze guzki tarczycy. Limfadenopatię szyjną w badaniu klinicznym stwierdzono u 42% pacjentów, a śródoperacyjnie u 50% dzieci. U większości pacjentów dominowały niższe stopnie zaawansowania DTC (T1 u 36% i T2 u 26% dzieci). Operacje jednoetapowe wykonano u 65% dzieci, operacje dwuetapowe u 25% dzieci, a profilaktyczne tyreoidektomie u 79% dzieci z grupy pacjentów z rakiem rdzeniastym tarczycy (MTC, medullary thyroid cancinoma) i mutacją genu Ret. Leczenie izotopowe J131 podjęto u 80% dzieci. Przerzuty do płuc w scyntygrafii poterapeutycznej wykazano u 14% dzieci z DTC. Wnioski: We wnioskach podkreśla się konieczność wdrożenia na terenie całego kraju ujednoliconego i ocenianego na podstawie obiektywnych przesłanek sposobu postępowania z dziećmi z DTC

Correction to: Cluster identification, selection, and description in Cluster randomized crossover trials: the PREP-IT trials

An amendment to this paper has been published and can be accessed via the original article