Geometry and physics of knots

KNOTS are usually categorized in terms of topological properties that are invariant under changes in a knot's spatial configuration(1-4). Here we approach knot identification from a different angle, by considering the properties of particular geometrical forms which we define as 'ideal'. For a knot with a given topology and assembled from a tube of uniform diameter, the ideal form is the geometrical configuration having the highest ratio of volume to surface area. Practically, this is equivalent to determining the shortest piece of tube that can be closed to form the knot. Because the notion of an ideal form is independent of absolute spatial scale, the length-to-diameter ratio of a tube providing an ideal representation is constant, irrespective of the tube's actual dimensions. We report the results of computer simulations which show that these ideal representations of knots have surprisingly simple geometrical properties. In particular, there is a simple linear relationship between the length-to-diameter ratio and the crossing number-the number of intersections in a two-dimensional projection of the knot averaged over all directions. We have also found that the average shape of knotted polymeric chains in thermal equilibrium is closely related to the ideal representation of the corresponding knot type. Our observations provide a link between ideal geometrical objects and the behaviour of seemingly disordered systems, and allow the prediction of properties of knotted polymers such as their electrophoretic mobility(5).

Early-onset Crohn's disease is a risk factor for smaller final height.

OBJECTIVES: Growth retardation is a frequent complication of paediatric inflammatory bowel disease (IBD). Only a few studies report the final height of these patients, with controversial results. We compared adult height of patients with paediatric IBD with that of patients with adult-onset disease. METHODS: Height data of 675 women 19-44 years of age and 454 men 23-44 years of age obtained at inclusion in the Swiss IBD cohort study registry were grouped according to the age at diagnosis: (a) prepubertal (men≤13, women≤11 years), (b) pubertal (men 13-22, women 11-18 years) and (c) adult (men>22, women>18 years of age), and compared with each other and with healthy controls. RESULTS: Male patients with prepubertal onset of Crohn's disease (CD) had significantly lower final height (mean 172±6 cm, range 161-182) compared with men with pubertal (179±6 cm, 161-192) or adult (178±7 cm, 162-200) age at onset and the general population (178±7 cm, 142-204). Height z-scores standardized against heights of the normal population were significantly lower in all patients with a prepubertal diagnosis of CD (-0.8±0.9) compared with the other patient groups (-0.1±0.8, P<0.001). Prepubertal onset of CD emerged as a risk factor for reduced final height in patients with prepubertal CD. No difference for final height was found between patients with ulcerative or unclassified IBD diagnosed at prepubertal, pubertal or adult age. CONCLUSION: Prepubertal onset of CD is a risk for lower final height, independent of the initial disease location and the necessity for surgical interventions.

Los Actores económicos y la dimensión regional : la Cambra de Comerç de Barcelona y Foment del Treball Nacional (1997-2007)

Esta investigación trata de esclarecer qué opinión merece y cómo repercute la existencia de gobiernos regionales en las organizaciones empresariales de ámbito regional. Ello lo observamos mediante el análisis de dos organizaciones empresariales catalanas: Foment del Treball Nacional y la Cambra de Comerç, Indústria i Navegació de Barcelona. Desafortunadamente, como sucede para el caso español, tras más de veinticinco años de experiencia regional existe un vacío en la literatura académica, tan sólo unos pocos estudios referenciados, tanto de organizaciones empresariales regionales como de su opinión sobre el Estado de las Autonomías y sus implicaciones para un determinado modelo económico y proyecto político.

Robotic, fluoroscopic or EMG assisted pedicle screw insertion. A CT based comparative study

Introduction: In order to improve safety of pedicle screw placement several techniques have been developed. More recently robotically assisted pedicle insertion has been introduced aiming at increasing accuracy. The aim of this study was to compare this new technique with the two main pedicle insertion techniques in our unit namely fluoroscopically assisted vs EMG aided insertion. Material and methods: A total of 382 screws (78 thoracic,304 lumbar) were introduced in 64 patients (m/f = 1.37, equally distributed between insertion technique groups) by a single experienced spinal surgeon. From those, 64 (10 thoracic, 54 lumbar) were introduced in 11 patients using a miniature robotic device based on pre operative CT images under fluoroscopic control. 142 (4 thoracic, 138 lumbar) screws were introduced using lateral fluoroscopy in 27 patients while 176 (64 thoracic, 112 lumbar) screws in 26 patients were inserted using both fluoroscopy and EMG monitoring. There was no difference in the distribution of scoliotic spines between the 3 groups (n = 13). Screw position was assessed by an independent observer on CTs in axial, sagittal and coronal planes using the Rampersaud A to D classification. Data of lumbar and thoracic screws were processed separately as well as data obtained from axial, sagittal and coronal CT planes. Results: Intra- and interobserver reliability of the Rampersaud classification was moderate, (0.35 and 0.45 respectively) being the least good on axial plane. The total number of misplaced screws (C&D grades) was generally low (12 thoracic and 12 lumbar screws). Misplacement rates were same in straight and scoliotic spines. The only difference in misplacement rates was observed on axial and coronal images in the EMG assisted thoracic screw group with a higher proportion of C or D grades (p <0.05) in that group. Recorded compound muscle action potentials (CMAP) values of the inserted screws were 30.4 mA for the robot and 24.9mA for the freehand technique with a CI of 3.8 of the mean difference of 5.5 mA. Discussion: Robotic placement did improve the placement of thoracic screws but not that of lumbar screws possibly because our misplacement rates in general near that of published navigation series. Robotically assisted spine surgery might therefore enhance the safety of screw placement in particular in training settings were different users at various stages of their learning curve are involved in pedicle instrumentation.

Less frequent dosing of erythropoiesis stimulating agents in patients undergoing dialysis: a European multicentre cost study.

OBJECTIVE: To calculate the variable costs involved with the process of delivering erythropoiesis stimulating agents (ESA) in European dialysis practices. METHODS: A conceptual model was developed to classify the processes and sub-processes followed in the pharmacy (ordering from supplier, receiving/storing/delivering ESA to the dialysis unit), dialysis unit (dose determination, ordering, receipt, registration, storage, administration, registration) and waste disposal unit. Time and material costs were recorded. Labour costs were derived from actual local wages while material costs came from the facilities' accounting records. Activities associated with ESA administration were listed and each activity evaluated to determine if dosing frequency affected the amount of resources required. RESULTS: A total of 21 centres in 8 European countries supplied data for 142 patients (mean) per hospital (range 42-648). Patients received various ESA regimens (thrice-weekly, twice-weekly, once-weekly, once every 2 weeks and once-monthly). Administering ESA every 2 weeks, the mean costs per patient per year for each process and the estimates of the percentage reduction in costs obtainable, respectively, were: pharmacy labour (10.1 euro, 39%); dialysis unit labour (66.0 euro, 65%); dialysis unit materials (4.11 euro, 61%) and waste unit materials (0.43 euro, 49%). LIMITATION: Impact on financial costs was not measured. CONCLUSION: ESA administration has quantifiable labour and material costs which are affected by dosing frequency.

Nouveautés en médecine ambutatoire: dépistage, traitement et iatrogénicité [Innovations in ambulatory care: screening, treatment and iatrogenicity]

Cette année, six études utiles pour la pratique ont été retenues. L'indication à la mammographie entre 40 et 49 ans devrait être évaluée individuellement et en tenant compte des risques/bénéfices de cet examen. Au-delà de 65 ans, un dépistage systématique de la fibrillation auriculaire avec prise de pouls puis ECG (si pouls irrégulier) pourrait être réalisé de manière systématique. Les risques de complications postcolonoscopie existent, particulièrement suite à des biopsies/polypectomies, et ce risque devrait être discuté. Les inhibiteurs de la pompe à protons au long court sont un facteur de risque de fracture de hanche. S'il est important de prendre en charge des pressions artérielles élevées au-delà de 80 ans, il faut être prudent (orthostatisme). Une corticothérapie précoce suite à une paralysie faciale périphérique est efficace. This year we have selected six studies useful for the day to day practice. A mammography in women 40 to 49 years of age should be evaluated taking into account the patient's profile and the possible risks and benefits of this exam. In patients over 65 years of age, a systematic atrial fibrillation screening, with pulse rate measuring then ECG (if irregular beat) should be realised on a regular basis. The risks for complications following colonoscopies do exist, especially after biopsies/polypectomies and this risk should be discussed. Long term proton pump inhibitor treatment is a risk factor for hip fracture. It is important to treat high blood pressure problems in the elderly, but the orthostatic risks should be adressed. A corticoid treatment started quickly for Bell's palsy is efficient

Anti-TNF Therapy in the Swiss Inflammatory Bowel Disease G8 Cohort

Background: A nti-TNF d rugs (Infliximab (IFX), Adalimumab (ADA), Certolizumab pegol (CZP)) are effective in inducing and maintaining response a nd remission in i nflammatory bowel disease (IBD). Insufficient response or side effects may lead to a switch o f the anti-TNF d rug. W e aimed to e valuate the frequency and reasons for anti-TNF switches. Methods: Analysis of data from the Swiss Inflammatory Bowel Disease Cohort (SIBDCS). Eighty percent of included patients were recruited in hospitals and 20% from private practice. Results: From 2,058 patients ( 1,172 with Crohn's disease (CD), 842 with ulcerative colitis (UC) and 44 with indeterminate colitis (IC)), 772 received at least one anti-TNF. Forty-eight % of patients w ith CD, 23% with U C, a nd 30% with IC w ere ever treated with an anti-TNF drug. There was no gender difference with respect to the frequency of a nti-TNF treatment. A total of 584 patients (76%) were treated with one, 142 (18%) with two, and 46 (6%) with three anti-TNF (of which 32 were female). A total of 89% patients were treated with IFX, 28% ADA and 13% with CZP. Overall response rate (defined as drop in CDAI >100 points) to anti-TNF was 50%, with best response rates for the first used anti-TNF. Reasons t o switch t he anti-TNF w ere in 11% a primary non-response, in 38% a loss of response and in 36% anti-TNF s ide effects o r intolerance ( reasons for 15% of treatment failures not documented). Conclusion: A nti-TNF d rugs were used in h alf of the CD patients a nd in o ne quarter of U C patients. Anti-TNF d rug switch d ue to insufficient response a nd/or side effects w as necessary in one quarter of IBD patients. IFX was mainly used as first-line therapy. Best response rates were observed for the first used anti-TNF. Following analyses will identify risk median treatment duration as well as risk factors for anti-TNF switch.

Distinct subcellular localization of beta-tubulin epitopes in the adult mouse brain.

A panel of monoclonal antibodies specific of alpha-tubulin (TU-01, TU-09) and beta-tubulin (TU-06, TU-13) subunits was used to study the location of N-terminal structural domains of tubulin in adult mouse brain. The specificity of antibodies was confirmed b immunoblotting experiments. Immunohistochemical staining of vibratome sections from cerebral cortex, cerebellum, hippocampus, and corpus callosum showed that antibodies TU-01, TU-09, and TU-13 reacted with neuronal and glial cells and their processes, whereas the TU-06 antibody stained only the perikarya. Dendrites and axons were either unstained or their staining was very weak. As the TU-06 epitope is located on the N-terminal structural domain of beta-tubulin, the observed staining pattern cannot be interpreted as evidence of a distinct subcellular localization of beta-tubulin isotypes or known post-translational modifications. The limited distribution of the epitope could, rather, reflect differences between the conformations of tubulin molecules in microtubules of somata and neurites or, alternatively, a specific masking of the corresponding region on the N-terminal domain of beta-tubulin by interacting protein(s) in dendrites and axons.