A fully semi-Lagrangian discretization for the 2D Navier--Stokes equations in the vorticity--streamfunction formulation

A numerical method for the two-dimensional, incompressible Navier--Stokes equations in vorticity--streamfunction form is proposed, which employs semi-Lagrangian discretizations for both the advection and diffusion terms, thus achieving unconditional stability without the need to solve linear systems beyond that required by the Poisson solver for the reconstruction of the streamfunction. A description of the discretization of Dirichlet boundary conditions for the semi-Lagrangian approach to diffusion terms is also presented. Numerical experiments on classical benchmarks for incompressible flow in simple geometries validate the proposed method

Sensorimotor integration in dystonia: pathophysiology and possible non-invasive approaches to therapy

Dystonia is a condition characterized by excessive and sustained muscle contractions causing abnormal postures and involuntary movements. The pathophysiology of dystonia includes loss of inhibition and abnormal plasticity in the somatosensory and motor systems; however, their contribution to the phenomenology of dystonia is still uncertain, and the possibility to target these abnormalities in an attempt to devise new treatments has not been thoroughly explored. This thesis describes how abnormal inhibition and plasticity in the somatosensory system of dystonic patients can be manipulated to ameliorate motor symptoms by means of peripheral stimulation. First, we characterized electrophysiological and behavioural markers of inhibition in the primary somatosensory cortex in a group of patients with idiopathic cervical dystonia (CD). Outcome measures included a) somatosensory temporal discrimination threshold (STDT); b) paired-pulse somatosensory evoked potentials (PP-SEP) tested with interstimulus intervals (ISIs) of 5, 20 and 40 ms; c) spatial somatosensory inhibition ratio (SIR) by measuring SEP interaction between simultaneous stimulation of the digital nerves in thumb and index finger; d) high-frequency oscillations (HFO) extracted from SEP obtained with stimulation of digital nerves of the index finger. This first investigation demonstrated that increased STDT in dystonia is related to reduced activity of inhibitory circuits within the primary somatosensory cortex, as reflected by reduced PP-SEP inhibition at ISI of 5 ms and reduced area of the late part of the HFO (l-HFO). In a second set of experiments, we applied high frequency repetitive somatosensory stimulation (HF-RSS), a patterned electric stimulation applied to the skin through surface electrodes, to the index finger in a sample of healthy subjects, with the aim to manipulate excitability and inhibition of the primary somatosensory (S1) and motor (M1) cortices. The former was assessed by the same methods used before (STDT, PP-SEP, HFO), with the addition of two psychophysical tasks designed to assess tactile spatial discrimination (grating orientation and bumps tests). Assessment of physiology of M1 was performed by means of short intracortical inhibition (SICI) assessed with TMS; this was performed with multiple conditioning stimulus (CS) intensities (70%, 80%, 90% of the active motor threshold) and with a insterstimulus interval (ISI) between conditioning and test stimulus of 3 ms. It was found that HF-RSS increased inhibition in S1 tested by PP-SEP and HFO; these changes were correlated with improvement in STDT. HF-RSS also enhanced bumps detection, while there was no change in grating orientation test. Finally, there was an increase in SICI, suggesting widespread changes in cortical sensorimotor interactions. Overall, these findings demonstrated that HF-RSS is able to modify the effectiveness of inhibitory circuitry in S1 and M1. The results obtained so far led us to hypothesize that HF-RSS could restore inhibition in dystonic patients, similar to what observed in healthy subjects. To test this, we applied HF-RSS on the index finger in a sample of patients with CD, and tested its effects with some of the outcome measures used before (STDT, PP-SEP, HFO, SIR, SICI). Unexpectedly, the results were opposite to what was predicted. Patients with CD showed a consistent, paradoxical response: after HF-RSS, they had reduced suppression of PP-SEP, as well as decreased HFO area and SICI, and increased SIR. STDT deteriorated after the stimulation protocol, and correlated with reduced measures of inhibition within S1 (PP-SEP at 5 ms ISI, l-HFO area). It was hypothesized that patients with CD have abnormal homeostatic inhibitory plasticity within the sensorimotor cortex and that this is responsible for their abnormal response to HF-RSS. Interestingly, this alteration in plasticity seems to be specific to idiopathic dystonia: when the same protocol was applied to patients with dystonia caused by lesions in the basal ganglia, the response was similar to healthy controls. This result suggests that reduced somatosensory inhibition and abnormal cortical plasticity are not strictly required for the clinical expression of dystonia, and that the abnormalities reported in idiopathic dystonia are not necessarily linked to basal ganglia damage. We then directed our attention to another form of peripheral electrical stimulation, delivered at low frequency (LF-RSS). Previous literature demonstrated that this pattern of stimulation had effects opposite to HF-RSS on tactile performance in healthy subjects; therefore, given the previous findings of abnormal response to HF-RSS in CD, we hypothesized that an inverse response might occur in these patients following LF-RSS as well. Our hypothesis was confirmed by the observation that LF-RSS, applied to the fingers in patients with CD, induced an increase in inhibition in the primary somatosensory and motor cortices. This was reflected by an improvement of STDT and an increase in PP-SEP suppression, HFO area and SICI. With this in mind, in the final project of the thesis, we tested the effects of HF-RSS and LF-RSS applied directly over two affected muscles in different groups of patients with focal hand dystonia (FHD), in an attempt to modulate involuntary muscle activity and, consequently, to ameliorate motor symptoms. Whereas HF-RSS was delivered synchronously over the two muscles, LF-RSS was given either synchronously or asynchronously. Outcome measures included a) PP-SEP obtained by direct stimulation of affected muscles, with ISIs of 5 and 30 ms; b) quantification of electromyographic (EMG) activity from tested muscles; c) SICI recorded from the affected muscles, with CS intensities ranging from 50% to 100% RMT and with an ISI of 3 ms; d) evaluation of hand function, assessed by the box and blocks test (BBT) and the nine-hole peg test (NHPT); e) SIR by measuring SEP interaction between simultaneous stimulation of the two muscles receiving repetitive stimulation. We confirmed the paradoxical response of dystonic patients to HF-RSS, which was reflected in decreased PP-SEP suppression and SICI and increased SIR. Importantly, this was paralleled by an increase in involuntary EMG activity and worse scores at the BBT and NHPT. This results were opposite when LF-RSS was delivered, either in its synchronous or asynchronous version, the latter being slightly more effective. Thus, LF-RSS was able to increase PP-SEP suppression and SICI, decrease SIR and reduce involuntary EMG activity, with consequent improvement in performance in the BBT and NHPT. Overall, our data provide novel insight into the neural mechanisms underlying loss of inhibition and deranged somatosensory plasticity in idiopathic dystonia and bring preliminary evidence that peripheral electrical stimulation can be used as a treatment in idiopathic focal hand dystonia

Gender Equality in European Netflix TV Series Production (2014-2019)

Understanding gender inequalities and segregation within the Cultural and Creative Industries is an increasingly key issue in contemporary debates at the national and international level. Several researchers have found evidence of strong patterns of segregation in the media industries, both in terms of “verticality” – women’s exclusion from creative and leadership roles – and essentialism – how men and women are usually concentrated in roles that entail the use of skills labelled as “feminine” or “masculine”. Hence, with reference to the verticality issue, women struggle to be included as directors, writers, and producers, and are frequently relegated to coordinating roles such as production manager, casting director, or assistant director. At the same time, with reference to the essentialist account of segregation, we find more women in roles framed as more “caring” and “nurturing”, such as in the make-up and costume department. This paper is designed as a quantitative analysis of European Netflix TV series production between 2014 and 2019. Its objectives are: (i) to assess the gender gap within the sample; (ii) to analyse differences in the gender composition among departments in the sample; and (iii) to obtain preliminary indications about a possible relation between on-screen content and off-screen composition. The paper focuses on 81 Netflix productions in ten European countries. Data were scraped from the IMDb database and the analytical sample is composed of 28,607 professionals (34,312 credits). Besides the cast, available data contains information for 28 departments. Each worker’s gender was automatically assigned based on their name, albeit recognising the risks of a gender binary classification scheme, in order to analyse differences in the gender composition among different roles. Then, a subsample of TV series was isolated, labelled by the literature as relevant for their portrayal of women, gender relations, and for how they represented masculinity and femininity more generally. The paper provides a descriptive exploration of the data, by comparing the gender distribution of cast members and off-screen roles in the overall sample and in the subsample. Results show that in the subsample of TV series deemed to be relevant for their portrayal of gender, among above-the-line professions there is indeed a higher proportion of women directors, writers and producers, meaning that they are no longer male-dominated. However, for below-the-line professions there is evidence of the same pattern of gendered division of labour witnessed in the overall sample

Pathophysiology and Treatment of Functional Paralysis: Insight from Transcranial Magnetic Stimulation

Functional paralysis (FP) or limb weakness is a common presentation of functional movement disorders (FMD), accounting for 18.1% of the clinical manifestations of FMD. The pathophysiology of FP is not known, but imaging studies have identified changes in structural and functional connectivity in multiple brain networks. It has been proposed that noninvasive brain stimulation techniques may be used to understand the pathophysiology of FP and may represent a possible therapeutic option. In this paper, we reviewed transcranial magnetic stimulation studies on functional paralysis, focusing on their pathophysiological and therapeutical implications. Overall, there is general agreement on the integrity of corticospinal pathways in FP, while conflicting results have been found about the net excitability of the primary motor cortex and its excitatory/inhibitory circuitry in resting conditions. The possible involvement of spinal cord circuits remains an under-investigated area. Repetitive transcranial magnetic stimulation appears to have a potential role as a safe and viable option for the treatment of functional paralysis, but more studies are needed to investigate optimal stimulation parameters and clarify its role in the context of other therapeutical options

Motor potentials evoked by transcranial magnetic stimulation: interpreting a simple measure of a complex system

Transcranial magnetic stimulation (TMS) is a non‐invasive technique that is increasingly used to study the human brain. One of the principal outcome measures is the motor‐evoked potential (MEP) elicited in a muscle following TMS over the primary motor cortex (M1), where it is used to estimate changes in corticospinal excitability. However, multiple elements play a role in MEP generation, so even apparently simple measures such as peak‐to‐peak amplitude have a complex interpretation. Here, we summarize what is currently known regarding the neural pathways and circuits that contribute to the MEP and discuss the factors that should be considered when interpreting MEP amplitude measured at rest in the context of motor processing and patients with neurological conditions. In the last part of this work, we also discuss how emerging technological approaches can be combined with TMS to improve our understanding of neural substrates that can influence MEPs. Overall, this review aims to highlight the capabilities and limitations of TMS that are important to recognize when attempting to disentangle sources that contribute to the physiological state‐related changes in corticomotor excitability

A multidisciplinary tool for the development of a regional-scale geotechnical model: a case study in the North-Western Adriatic coastal area

Abstract The paper describes the geotechnical model of a coastal flat area facing the Adriatic Sea, between the municipalities of Cesenatico and Bellaria-Igea Marina (Emilia-Romagna region, Italy). On the basis of a large experimental database provided by the Geological, Seismic and Soil Survey of the Emilia-Romagna Authority, a stratigraphic scheme of the upper 40 m of this coastal plain subsoil has been defined and reliable estimates of parameters for the different soil units have been derived. The accurate mechanical characterization of soils, also reflecting their sedimentological framework, allows the development of a regional-scale geotechnical model providing a reliable and useful support to geotechnical engineers working in this area or similar geological environments

Recommended number of strides for automatic assessment of gait symmetry and regularity in above-knee amputees by means of accelerometry and autocorrelation analysis

<p>Abstract</p> <p>Background</p> <p>Symmetry and regularity of gait are essential outcomes of gait retraining programs, especially in lower-limb amputees. This study aims presenting an algorithm to automatically compute symmetry and regularity indices, and assessing the minimum number of strides for appropriate evaluation of gait symmetry and regularity through autocorrelation of acceleration signals.</p> <p>Methods</p> <p>Ten transfemoral amputees (AMP) and ten control subjects (CTRL) were studied. Subjects wore an accelerometer and were asked to walk for 70 m at their natural speed (twice). Reference values of step and stride regularity indices (Ad1 and Ad2) were obtained by autocorrelation analysis of the vertical and antero-posterior acceleration signals, excluding initial and final strides. The Ad1 and Ad2 coefficients were then computed at different stages by analyzing increasing portions of the signals (considering both the signals cleaned by initial and final strides, and the whole signals). At each stage, the difference between Ad1 and Ad2 values and the corresponding reference values were compared with the minimum detectable difference, MDD, of the index. If that difference was less than MDD, it was assumed that the portion of signal used in the analysis was of sufficient length to allow reliable estimation of the autocorrelation coefficient.</p> <p>Results</p> <p>All Ad1 and Ad2 indices were lower in AMP than in CTRL (P < 0.0001). Excluding initial and final strides from the analysis, the minimum number of strides needed for reliable computation of step symmetry and stride regularity was about 2.2 and 3.5, respectively. Analyzing the whole signals, the minimum number of strides increased to about 15 and 20, respectively.</p> <p>Conclusions</p> <p>Without the need to identify and eliminate the phases of gait initiation and termination, twenty strides can provide a reasonable amount of information to reliably estimate gait regularity in transfemoral amputees.</p