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This paper develops geographic style maps containing two-dimensional lattices in all known periodic crystals parameterized by recent complete invariants. Motivated by rigid crystal structures, lattices are considered up to rigid motion and uniform scaling. The resulting space of two-dimensional lattices is a square with identified edges or a punctured sphere. The new continuous maps show all Bravais classes as low-dimensional subspaces, visualize hundreds of thousands of lattices of real crystal structures from the Cambridge Structural Database, and motivate the development of continuous and invariant-based crystallography.

Background: Effective analgesia is the mainstay of the management of traumatic rib fractures. Serratus anterior block is a newer regional anaesthesia technique used in traumatic rib fractures which may have a favourable safety profile compared to other regional techniques. There is currently a lack of evidence for serratus anterior block and its role in the improvement of mortality, pain, duration of stay and pulmonary complications in patients with traumatic rib fractures in comparison to other regional anaesthesia techniques. Methods: Web of Science and PubMed were searched from inception until April 2022 for studies reporting on the use of a serratus anterior block compared to another therapy for the management of traumatic rib fractures. Primary outcomes were measures of analgesic efficacy. Secondary outcomes were the incidence of intervention related adverse events, hospital length of stay, intensive care unit length of stay and mortality. Results: Seven studies with 649 patients were included. No significant difference was found between serratus anterior block and intravenous opiates in terms of resting pain scores and achievement of mild or no pain after the chosen intervention(p>0.05). There was a statistically, but not clinically significant difference post block pain scores compared to other regional techniques (WMD= 0.63; 95% CI= 0.45 to 0.80; p< 0.00001). Significant differences were found in favour of blocks, specifically thoracic epidural and paravertebral blocks over serratus anterior block in terms of achieving mild or no pain after the block (OR= 0.54; 95% CI=0.32 to 0.90; I2= 0%; p= 0.02). No significant difference was found for any other outcomes. Conclusions: Current literature comparing the serratus anterior block to alternative analgesic options is limited by the end points assessing block success. No data was available assessing the effect on pain during deep inspiration and coughing. This meta-analysis demonstrated similar analgesic efficacy to other regional anaesthesia techniques but a lower incidence of mild or no pain post block compared to traditional epidural or paravertebral techniques. Future studies need to be directed towards important outcomes such as dynamic pain scores and respiratory complication rates. Keywords: Rib fractures, Serratus Anterior, Chest trauma

This systematic review aimed to compare the analgesic effectiveness and complications rates for anterior suprascapular nerve blocks (ASSB) compared to interscalene brachial plexus blocks (ISB) for arthroscopic and outpatient shoulder surgery. Only randomized controlled trials (RCTs) comparing the ASSB versus ISB in the context of arthroscopic shoulder surgery were eligible for inclusion. The primary outcomes included pain scores (Numeric Rating Scale of 0 to 10) up to 24 h postoperatively and analgesic consumption. Secondary outcomes included block complications. Meta-analysis was performed using random-effects modeling and result certainty was determined using the GRADEpro tool. Six RCTs (709 patients) were included for analysis. ISB displayed a statistically significant reduction in pain scores by 0.40 (95%CI = 0.36 to 0.45; p

Patterns of linkage disequilibrium (LD) in the human genome are beginning to be characterized, with a paucity of haplotype diversity in “LD blocks,” interspersed by apparent “hot spots” of recombination. Previously, we cloned and physically characterized thelow-density lipoprotein-receptor-related protein 5(LRP5) gene. Here, we have extensively analysed bothLRP5 and its flanking three genes, spanning 269 kb, for single nucleotide polymorphisms (SNPs), and we present a comprehensive SNP map comprising 95 polymorphisms. Analysis revealed high levels of recombination across LRP5, including a hot-spot region from intron 1 to intron 7 of LRP5, where there are 109 recombinants/Mb (4882 meioses), in contrast to flanking regions of 14.6 recombinants/Mb. This region of high recombination could be delineated into three to four hot spots, one within a 601-bp interval. ForLRP5, three haplotype blocks were identified, flanked by the hot spots. Each LD block comprised over 80% common haplotypes, concurring with a previous study of 14 genes that showed that common haplotypes account for at least 80% of all haplotypes. The identification of hot spots in between these LD blocks provides additional evidence that LD blocks are separated by areas of higher recombination.[Supplementary material: primers are available from our Web site:http://www-gene.cimr.cam.ac.uk/todd/human_data.shtml.]

Linkage of chromosome 11q13 to type 1 diabetes (T1D) was first reported from genome scans (Davies et al. 1994; Hashimoto et al. 1994) resulting in P2.2 x 10(-5) (Luo et al. 1996) and designated IDDM4 ( insulin dependent diabetes mellitus 4). Association mapping under the linkage peak using 12 polymorphic microsatellite markers suggested some evidence of association with a two-marker haplotype, D11S1917*03-H0570POLYA*02, which was under-transmitted to affected siblings and over-transmitted to unaffected siblings ( P=1.5 x 10(-6)) (Nakagawa et al. 1998). Others have reported evidence for T1D association of the microsatellite marker D11S987, which is approximately 100 kb proximal to D11S1917 (Eckenrode et al. 2000). We have sequenced a 400-kb interval surrounding these loci and identified four genes, including the low-density lipoprotein receptor related protein (LRP5) gene, which has been considered as a functional candidate gene for T1D (Hey et al. 1998; Twells et al. 2001). Consequently, we have developed a comprehensive SNP map of the LRP5 gene region, and identified 95 SNPs encompassing 269 kb of genomic DNA, characterised the LD in the region and haplotypes (Twells et al. 2003). Here, we present our refined linkage curve of the IDDM4 region, comprising 32 microsatellite markers and 12 SNPs, providing a peak MLS=2.58, P=5 x 10(-4), at LRP5 g.17646GT. The disease association data, largely focused in the LRP5 region with 1,106 T1D families, provided no further evidence for disease association at LRP5 or at D11S987. A second dataset, comprising 1,569 families from Finland, failed to replicate our previous findings at LRP5. The continued search for the variants of the putative IDDM4 locus will greatly benefit from the future development of a haplotype map of the genome.

Introduction Chronic migraines and tension-type headaches are debilitating diseases affecting 1.4 to 2.2% of the population with both quality of life and economic implications. To date, the pain associated with migraine and tension-type headaches has been controlled with a range of medications, with varying levels of success. In addition, the side-effect profile of these medications, as well as their potential for addiction, has been a cause for concern for both patients and physicians. Case presentations Four women with long histories of migraine or frequent tension-type headache that meet the International Classification of Headache Disorders criteria for Chronic Migraine or Tension-type Headaches were given a systemic treatment(s) of autologous stromal vascular fraction or autologous ‘StroMed’ isolated from lipoaspirate. StroMed is stromal vascular fraction cells prepared by ultrasonic cavitation. Two of the four patients, both of whom are Arab women aged 40 and 36 years, ceased having migraines after 1 month, for a period of 12 to 18 months. The third patient, a Slavic woman aged 43 years, had a significant decrease in the frequency and severity of migraines with only seven migraines over 18 months. The fourth patient, an Asian woman aged 44 years, obtained a temporary decrease for a period of a month and was retreated 18 months later and has been free of migraines to date for 1 month. Pain medication was typically reduced from prescribed opioid analgesia to non-steroidal anti-inflammatory drugs and paracetamol. Conclusions This case series is the first to provide evidence of the efficacy of autologous StroMed and stromal vascular fraction in the treatment of migraine and tension-type headache. The treatment of this disease by stromal vascular fraction adds a new dimension to its clinical applicability and suggests a relatively simple treatment that may help address the symptoms of the disease. Given what is known about the components of the stromal vascular fraction and how they act, the information presented in this case series may also further our knowledge of the etiology and pathophysiology of migraine and tension-type headaches. This treatment is simple, looks to be extremely effective and has been life changing for these patients.