Optimal Design for Estimating Parameters of the 4-Parameter Hill Model

Many drug concentration-effect relationships are described by nonlinear sigmoid models. The 4-parameter Hill model, which belongs to this class, is commonly used. An experimental design is essential to accurately estimate the parameters of the model. In this report we investigate properties of D-optimal designs. D-optimal designs minimize the volume of the confidence region for the parameter estimates or, equivalently, minimize the determinant of the variance-covariance matrix of the estimated parameters. It is assumed that the variance of the random error is proportional to some power of the response. To generate D-optimal designs one needs to assume the values of the parameters. Even when these preliminary guesses about the parameter values are appreciably different from the true values of the parameters, the D-optimal designs produce satisfactory results. This property of D-optimal designs is called robustness. It can be quantified by using D-efficiency. A five-point design consisting of four D-optimal points and an extra fifth point is introduced with the goals to increase robustness and to better characterize the middle part of the Hill curve. Four-point D-optimal designs are then compared to five-point designs and to log-spread designs, both theoretically and practically with laboratory experiments

Supplementary Material for: Prospective Evaluation of a Prenatal Sonographic Clubfoot Classification System

<strong><em>Background:</em></strong> The purpose of this study was to prospectively evaluate our recently described fetal sonographic classification system for prenatal diagnosis of clubfoot. <b><i>Methods:</i></b> Over 18 months, we prospectively enrolled consecutive pregnant patients evaluated for a prenatally diagnosed clubfoot. Prenatal sonographic scores assigned by a radiologist were compared to final clinical diagnosis and severity given by a pediatric orthopedic surgeon. Pearson's χ² test and logistic regression were used in statistical analyses on the subject level. Generalized estimating equations were used in analyses on the foot level to account for intrasubject correlation. <b><i>Results:</i></b> There were 50 subjects, with 26 unilateral and 24 bilateral clubfeet, according to the prenatal ultrasound (US). A total of 51 (69%) of 74 feet and 36 (72%) of 50 subjects had a postnatal diagnosis of clubfoot. The accuracy of diagnosis in cases of a severe, moderate, and mild US score was 94, 70, and 25%, respectively (p = 0.003 comparing moderate-severe vs. mild). US severity correlated with the Dimeglio classification scoring system (Spearman's correlation 0.30). <b><i>Conclusion:</i></b> The fetal sonographic scoring system is predictive of clinical severity after birth, and improves the ability to counsel families with a prenatal diagnosis of clubfoot

Could learning of pollen odours by honey bees (Apis mellifera) play a role in their foraging behaviour?

The role of pollen odour cues in the foraging behaviour of honey bees (Apis mellifera L.) is poorly understood. Using classical conditioning of the proboscis extension response, in which bees learn to associate an odour with a sucrose reward, the present study tests whether odours of bee-collected pollen from the hive environment or odours of fresh pollen on the anthers of flowers could be used in pollen foraging. Honey bees efficiently learn odours from field-bean (Vicia faba) bee-collected pollen and oilseed-rape (Brassica napus) bee-collected pollen, hand-collected pollen, anthers and whole flowers, demonstrating that honey bees can learn pollen odours associatively in biologically realistic concentrations. Honey bees learn pollen odours of oilseed rape better than field bean and, although they generalize these two odours, they easily distinguish between them in discrimination tests, suggesting that pollen odours may be used in species recognition/discrimination. There is little evidence that honey bees can recognize whole flowers based on previous experience of bee-collected pollen odour. However, they generalize the odours of oilseed-rape anthers and whole flowers, suggesting that anther pollen in situ may play a more prominent role than bee-collected pollen in foraging behaviour

IN-DEPTH MODIFICATIONS OF IMPLANTED AMORPHOUS-CARBON FILMS

Amorphous carbon films (a-C:H) and nitrogen incorporated carbon films [a-C:H(N)] deposited by a self-bias glow discharge have been implanted with 70 keV nitrogen ions at fluences of 0.6, 1 and 2 x 10(17) N/cm(2) The in-depth modifications caused by ion implantation were determined by means of nuclear techniques, such as Rutherford Backscattering Spectrometry (RBS), Nuclear Reaction Analysis (NRA) and Elastic Recoil Detection Analysis (ERDA), as well as by Auger Electron Spectroscopy (AES) and Raman scattering. ERDA profiles show that nitrogen implantation causes hydrogen depletion, the amount of which depends on the film composition and on the ion fluence. In a-C:H(N) films nitrogen loss was also measured. The induced structural modifications in both a-C:H and a-C:H(N) films were followed by both AES, using factor analysis, and microprobe Raman spectroscopy. They turn out to be related to the energy deposited by the incident ions. Our results indicate that the ion-beam bombardment causes in both a-C:H and a-C:H (N) films an increase of either the degree of disorder or the ratio between sp(2)/sp(3) bonds across the hydrogen-depleted layer, which depends on the ion fluence

The Acute Optic Neuritis Network (ACON): study protocol of a non-interventional prospective multicenter study on diagnosis and treatment of acute optic neuritis

Optic neuritis (ON) often occurs at the presentation of multiple sclerosis (MS), neuromyelitis optica spectrum disorders (NMOSD), and myelin oligodendrocyte glycoprotein (MOG) antibody-associated disease (MOGAD). The recommended treatment of high-dose corticosteroids for ON is based on a North American study population, which did not address treatment timing or antibody serostatus. The Acute Optic Neuritis Network (ACON) presents a global, prospective, observational study protocol primarily designed to investigate the effect of time to high-dose corticosteroid treatment on 6-month visual outcomes in ON. Patients presenting within 30 days of the inaugural ON will be enrolled. For the primary analysis, patients will subsequently be assigned into the MS-ON group, the aquapotin-4-IgG positive ON (AQP4-IgG+ON) group or the MOG-IgG positive ON (MOG-IgG+ON) group and then further sub-stratified according to the number of days from the onset of visual loss to high-dose corticosteroids (days-to-Rx). The primary outcome measure will be high-contrast best-corrected visual acuity (HC-BCVA) at 6 months. In addition, multimodal data will be collected in subjects with any ON (CIS-ON, MS-ON, AQP4-IgG+ON or MOG-IgG+ON, and seronegative non-MS-ON), excluding infectious and granulomatous ON. Secondary outcomes include low-contrast best-corrected visual acuity (LC-BCVA), optical coherence tomography (OCT), magnetic resonance imaging (MRI) measurements, serum and cerebrospinal fluid (CSF) biomarkers (AQP4-IgG and MOG-IgG levels, neurofilament, and glial fibrillary protein), and patient reported outcome measures (headache, visual function in daily routine, depression, and quality of life questionnaires) at presentation at 6-month and 12-month follow-up visits. Data will be collected from 28 academic hospitals from Africa, Asia, the Middle East, Europe, North America, South America, and Australia. Planned recruitment consists of 100 MS-ON, 50 AQP4-IgG+ON, and 50 MOG-IgG+ON. This prospective, multimodal data collection will assess the potential value of early high-dose corticosteroid treatment, investigate the interrelations between functional impairments and structural changes, and evaluate the diagnostic yield of laboratory biomarkers. This analysis has the ability to substantially improve treatment strategies and the accuracy of diagnostic stratification in acute demyelinating ON. Trial registration: ClinicalTrials.gov, identifier: NCT05605951