A Tverberg type theorem for matroids

Let b(M) denote the maximal number of disjoint bases in a matroid M. It is shown that if M is a matroid of rank d+1, then for any continuous map f from the matroidal complex M into the d-dimensional Euclidean space there exist t \geq \sqrt{b(M)}/4 disjoint independent sets \sigma_1,\ldots,\sigma_t \in M such that \bigcap_{i=1}^t f(\sigma_i) \neq \emptyset.Comment: This article is due to be published in the collection of papers "A Journey through Discrete Mathematics. A Tribute to Jiri Matousek" edited by Martin Loebl, Jaroslav Nesetril and Robin Thomas, due to be published by Springe

Проект мини-ТЭЦ на базе отопительной котельной ж/д станции Полосухинская г. Новокузнецк

Дипломный проект выполнен в объеме 95 страниц. Содержит 7 схем, 4 иллюстрации, 27 таблиц, 18 источников, 3 приложения, 6 л. графического материала. Объектом исследования являются тепловые нагрузки существующей котельной и целесообразность генерации электрической энергии для покрытия потребностей. Цель работы – проект реконструкции отопительной котельной ж/д Полосухинская г.Новокузнецк с целью создания мини-ТЭЦ и перехода на комбинированное производство тепловой и электрической энергии. В процессе исследования проводился выбор тепловой схемы мини-ТЭЦ и её проектирование на базе отопительной котельной. Результат расчета показывает экономическую эффективность и технологическую целесообразность эксплуатации газопоршневой установки и внедрение газификатора в схеме ТЭЦ.The degree project carried out in a volume of 95 pages. 7 contains diagrams, illustrations, 4, 27 tables, 18 sources three applications 6L. graphic material. The object of research is the thermal load of the existing boiler and feasibility of generating electricity to cover the needs. The purpose of the work - the project of reconstruction of the heating boiler w / d Polosukhinskaya Novokuznetsk to create a mini-CHP and the transition to the combined production of heat and electricity. The study was conducted selection of the thermal circuit CHP and its design based on the heating boiler. The result of calculation shows the cost-effectiveness and technological feasibility of operating a gas piston installation and implementation of the scheme the gasifier in CHP

Muallime

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Influence of Cu(СH[3]COO)[2] promoting additive on bituminous coal oxidation process

The process of coal oxidation with applied Cu(СH[3]COO)[2] additive was studied by the capillary incipient wetness impregnation method with 5% mass concentration. The experiment was conducted by thermogravimetric analysis at a heating rate of 2.5°C/min to a maximum temperature of 600°C in atmospheric air. It was established that application of the initiation additive leads to a significant reduction in the initial temperature of sublimation and active oxidation of volatile compounds ([tau]Ti=78°C) and the oxidation end temperature ([tau]T[f]=64°C). It was established that in the presence of copper acetate the nature of coal oxidation reaction significantly changes (DTG data). The parameters of the coals oxidation process in the presence of copper acetate were determined, and an assumption was made about the presence of a composite catalytic effect

Genetic and expression studies of SMN2 gene in Russian patients with spinal muscular atrophy type II and III

<p>Abstract</p> <p>Background</p> <p>Spinal muscular atrophy (SMA type I, II and III) is an autosomal recessive neuromuscular disorder caused by mutations in the survival motor neuron gene (<it>SMN1</it>). <it>SMN2 </it>is a centromeric copy gene that has been characterized as a major modifier of SMA severity. SMA type I patients have one or two <it>SMN2 </it>copies while most SMA type II patients carry three <it>SMN2 </it>copies and SMA III patients have three or four <it>SMN2 </it>copies. The <it>SMN1 </it>gene produces a full-length transcript (FL-SMN) while <it>SMN2 </it>is only able to produce a small portion of the FL-SMN because of a splice mutation which results in the production of abnormal SMNΔ7 mRNA.</p> <p>Methods</p> <p>In this study we performed quantification of the <it>SMN2 </it>gene copy number in Russian patients affected by SMA type II and III (42 and 19 patients, respectively) by means of real-time PCR. Moreover, we present two families consisting of asymptomatic carriers of a homozygous absence of the <it>SMN1 </it>gene. We also developed a novel RT-qPCR-based assay to determine the FL-SMN/SMNΔ7 mRNA ratio as SMA biomarker.</p> <p>Results</p> <p>Comparison of the <it>SMN2 </it>copy number and clinical features revealed a significant correlation between mild clinical phenotype (SMA type III) and presence of four copies of the <it>SMN2 </it>gene. In both asymptomatic cases we found an increased number of <it>SMN2 </it>copies in the healthy carriers and a biallelic <it>SMN1 </it>absence. Furthermore, the novel assay revealed a difference between SMA patients and healthy controls.</p> <p>Conclusions</p> <p>We suggest that the <it>SMN2 </it>gene copy quantification in SMA patients could be used as a prognostic tool for discrimination between the SMA type II and SMA type III diagnoses, whereas the FL-SMN/SMNΔ7 mRNA ratio could be a useful biomarker for detecting changes during SMA pharmacotherapy.</p

Mutations in HID1 Cause Syndromic Infantile Encephalopathy and Hypopituitarism.

OBJECTIVE: Precursors of peptide hormones undergo posttranslational modifications within the trans-Golgi network (TGN). Dysfunction of proteins involved at different steps of this process cause several complex syndromes affecting the central nervous system (CNS). We aimed to clarify the genetic cause in a group of patients characterized by hypopituitarism in combination with brain atrophy, thin corpus callosum, severe developmental delay, visual impairment, and epilepsy. METHODS: Whole exome sequencing was performed in seven individuals of six unrelated families with these features. Postmortem histopathological and HID1 expression analysis of brain tissue and pituitary gland were conducted in one patient. Functional consequences of the homozygous HID1 variant p.R433W were investigated by Seahorse XF Assay in fibroblasts of two patients. RESULTS: Bi-allelic variants in the gene HID1 domain-containing protein 1 (HID1) were identified in all patients. Postmortem examination confirmed cerebral atrophy with enlarged lateral ventricles. Markedly reduced expression of pituitary hormones was found in pituitary gland tissue. Colocalization of HID1 protein with the TGN was not altered in fibroblasts of patients compared to controls, while the extracellular acidification rate upon stimulation with potassium chloride was significantly reduced in patient fibroblasts compared to controls. INTERPRETATION: Our findings indicate that mutations in HID1 cause an early infantile encephalopathy with hypopituitarism as the leading presentation, and expand the list of syndromic CNS diseases caused by interference of TGN function. ANN NEUROL 2021

Bi-allelic ACBD6 variants lead to a neurodevelopmental syndrome with progressive and complex movement disorders

This is the author accepted manuscript. The final version is available from Oxford University Press via the DOI in this recordData availability: The data that support the findings of this study are available from the corresponding author, upon reasonable request. The mass spectrometry proteomics data have been deposited to the ProteomeXchange Consortium via the PRIDE24 partner repository with the dataset identifiers PXD024957 (YnMyr chemical proteomics in human cells), PXD043676 (YnMyr chemical proteomics in zebrafish), PXD043679 (zebrafish whole proteome), PXD043677 (YnMyr chemical proteomics in X. tropicalis) and PXD043680 (X. tropicalis whole proteome).The acyl-CoA-binding domain-containing protein 6 (ACBD6) is ubiquitously expressed, plays a role in the acylation of lipids and proteins, and regulates the N-myristoylation of proteins via N-myristoyltransferase enzymes (NMTs). However, its precise function in cells is still unclear, as is the consequence of ACBD6 defects on human pathophysiology. Utilizing exome sequencing and extensive international data sharing efforts, we identified 45 affected individuals from 28 unrelated families (consanguinity 93%) with bi-allelic pathogenic, predominantly loss-of-function (18/20) variants in ACBD6. We generated zebrafish and Xenopus tropicalis acbd6 knockouts by CRISPR/Cas9 and characterized the role of ACBD6 on protein N-myristoylation with YnMyr chemical proteomics in the model organisms and human cells, with the latter also being subjected further to ACBD6 peroxisomal localization studies. The affected individuals (23 males and 22 females), with ages ranging from 1 to 50 years old, typically present with a complex and progressive disease involving moderate-to-severe global developmental delay/intellectual disability (100%) with significant expressive language impairment (98%), movement disorders (97%), facial dysmorphism (95%), and mild cerebellar ataxia (85%) associated with gait impairment (94%), limb spasticity/hypertonia (76%), oculomotor (71%) and behavioural abnormalities (65%), overweight (59%), microcephaly (39%) and epilepsy (33%). The most conspicuous and common movement disorder was dystonia (94%), frequently leading to early-onset progressive postural deformities (97%), limb dystonia (55%), and cervical dystonia (31%). A jerky tremor in the upper limbs (63%), a mild head tremor (59%), parkinsonism/hypokinesia developing with advancing age (32%), and simple motor and vocal tics were among other frequent movement disorders. Midline brain malformations including corpus callosum abnormalities (70%), hypoplasia/agenesis of the anterior commissure (66%), short midbrain and small inferior cerebellar vermis (38% each), as well as hypertrophy of the clava (24%) were common neuroimaging findings. acbd6-deficient zebrafish and Xenopus models effectively recapitulated many clinical phenotypes reported in patients including movement disorders, progressive neuromotor impairment, seizures, microcephaly, craniofacial dysmorphism, and midbrain defects accompanied by developmental delay with increased mortality over time. Unlike ACBD5, ACBD6 did not show a peroxisomal localisation and ACBD6-deficiency was not associated with altered peroxisomal parameters in patient fibroblasts. Significant differences in YnMyr-labelling were observed for 68 co- and 18 post-translationally N-myristoylated proteins in patient-derived fibroblasts. N-Myristoylation was similarly affected in acbd6-deficient zebrafish and Xenopus tropicalis models, including Fus, Marcks, and Chchd-related proteins implicated in neurological diseases. The present study provides evidence that bi-allelic pathogenic variants in ACBD6 lead to a distinct neurodevelopmental syndrome accompanied by complex and progressive cognitive and movement disorders

Biallelic MED27 variants lead to variable ponto-cerebello-lental degeneration with movement disorders.

MED27 is a subunit of the Mediator multiprotein complex, which is involved in transcriptional regulation. Biallelic MED27 variants have recently been suggested to be responsible for an autosomal recessive neurodevelopmental disorder with spasticity, cataracts and cerebellar hypoplasia. We further delineate the clinical phenotype of MED27-related disease by characterizing the clinical and radiological features of 57 affected individuals from 30 unrelated families with biallelic MED27 variants. Using exome sequencing and extensive international genetic data sharing, 39 unpublished affected individuals from 18 independent families with biallelic missense variants in MED27 have been identified (29 females, mean age at last follow-up 17 ± 12.4 years, range 0.1-45). Follow-up and hitherto unreported clinical features were obtained from the published 12 families. Brain MRI scans from 34 cases were reviewed. MED27-related disease manifests as a broad phenotypic continuum ranging from developmental and epileptic-dyskinetic encephalopathy to variable neurodevelopmental disorder with movement abnormalities. It is characterized by mild to profound global developmental delay/intellectual disability (100%), bilateral cataracts (89%), infantile hypotonia (74%), microcephaly (62%), gait ataxia (63%), dystonia (61%), variably combined with epilepsy (50%), limb spasticity (51%), facial dysmorphism (38%) and death before reaching adulthood (16%). Brain MRI revealed cerebellar atrophy (100%), white matter volume loss (76.4%), pontine hypoplasia (47.2%) and basal ganglia atrophy with signal alterations (44.4%). Previously unreported 39 affected individuals had seven homozygous pathogenic missense MED27 variants, five of which were recurrent. An emerging genotype-phenotype correlation was observed. This study provides a comprehensive clinical-radiological description of MED27-related disease, establishes genotype-phenotype and clinical-radiological correlations and suggests a differential diagnosis with syndromes of cerebello-lental neurodegeneration and other subtypes of 'neuro-MEDopathies'