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Let $M$ be a module over a Noetherian local ring $A$. We study $M$-independent sequences of elements of $\mathfrak{m}_A$ in the sense of Lech and Hanes. The main tool is a new characterization of the $M$-independence of a sequence in terms of the associated Koszul complex. As applications, we give a result in linkage theory, a freeness criterion for $M$ in terms of the existence of a strongly $M$-independent sequence of length $edim(A)$, and another freeness criterion inspired from the patching method of Calegari and Geraghty for balanced modules in their 2018 paper., 17 pages

Resume Introduction Le transfert du muscle droit femoral (DF) a longtemps ete la reference dans le traitement de la marche en genou raide ou stiff knee gait (SKG). Son efficacite a ete remise en cause au profit de la tenotomie distale du DF. Notre objectif etait d’etudier l’efficacite de 2 techniques chirurgicales. Notre hypothese etait que ces 2 techniques amelioraient significativement 4 parametres cinematiques du genou a 1 an postoperatoire. Patients et methode Cette meta-analyse a ete realisee selon les criteres PRISMA. Les bases de donnees suivantes ont ete utilisees : Medline, Science Direct, Cochrane Registry, Scopus et Pascal. La recherche a ete effectuee jusqu’au 01/03/2020 par 2 auteurs (A.J & M.T). L’index MINORS evaluait la qualite methodologique des etudes. Les etudes devaient comprendre des patients avec SKG, operes d’un transfert ou d’une tenotomie distale du DF. La meta-analyse des effets de la chirurgie a ete realisee sur 4 parametres : Peak Knee Flexion during swing (PKFSW) ; Knee Range of Motion (KROM) ; time to Peak Knee Flexion (t-PKFGC) ; Maximum Knee Extension in Stance Phase (MKEST). Le Standard Mean Deviation (SMD) evaluait la taille d’effet de l’intervention. Resultats Nous avons identifie 695 etudes, 16 ont ete incluses. Parmi elles, 14 etudiaient le transfert et 5 la tenotomie. Nous avons analyse les donnees de 768 patients soit 1079 membres. Seul le transfert du DF ameliore le PKFSW (SMD = 0,29) avec un effet faible. Les trois autres parametres sont ameliores avec un effet modere par les deux techniques. Discussion Nos resultats objectivent une amelioration de la cinematique du genou apres transfert mais seulement avec un effet faible ou modere de la chirurgie. L’effet de la tenotomie sur le PKF ne peut etre evalue dans cette meta-analyse en raison d’un biais de publication. La forte heterogeneite et le faible niveau de preuve des etudes incluses doivent faire interpreter nos resultats avec precautions. Niveau de preuve III.

Participation in physical activity improves health in individuals with congenital heart disease. However, most do not sufficiently engage in physical activity. The aim of this study was to collect information regarding the experiences of adolescents with congenital heart disease who practiced physical activities.French adolescents aged 13-18 years, diagnosed with congenital heart disease, class I or II dyspnoea on the NYHA scale and authorized physical activity were interviewed individually about their physical activity experiences using a semi-structured format. The qualitative interview transcript data were analysed using a phenomenological approach; data analysis was performed independently by three researchers and merged at each step until saturation.Eleven adolescents with congenital heart disease participated. Three main themes emerged: 'own representation', 'physical activity (PA) set-up' and 'environment'. Adolescents had a generally positive view of physical activity, which was associated with positive experiences. However, they reported that their physical condition limited PA, and they wished for adapted activities. The results revealed the importance of environmental factors, for example, within the social and school environments. The participants indicated that they appreciated the social interactions that PA afforded, but that integration into a group could be difficult, especially in school, with some participants describing feelings such as anxiety, frustration or guilt when they could not participate fully. PA facilitators included familial support. However, participants noted a lack of clear medical guidance to help them choose suitable activities based on their circumstances and personal preferences. They wished for the public to be better informed about congenital heart disease to reduce stigmatism.This study provides valuable information for clinicians, physical educators and policy makers to help them promote physical activity and support adolescents and their families in understanding their own condition, maximizing their potential and in their choice of activities.

We aimed to identify activity limitations and participation restrictions encountered by children and youth with disabilities for which assistive products and technology could be helpful. We used a convergent, parallel, mixed-methods design involving a nationwide, French survey composed of closed questions (quantitative) and open questions (qualitative) that enlightened the quantitative data. A total of 1055 responses were received, and 962 included: 92 from children and youth with disabilities, 493 from relatives and 377 from professionals. Difficulties frequently checked and described in detail were participation in recreational activities, leaving the house and traveling, participating in a group, and getting ready. Transversal explanations for difficulties were spontaneously provided (e.g., lack of accessibility and mobility). Solutions proposed included personal assistive devices to facilitate home life, high-tech devices, devices to compensate for impaired body functions, and adaptation of the familiar environment and daily activities. Few public solutions were proposed. The necessity of human assistance was emphasized. The mixed-methods design and involvement of different stakeholders identified common, macroscopic trends in difficulties encountered and desired solutions. Products and technology are required in the following domains: the familiar environment, accessibility and mobility, sports and leisure, high-technology, and family support. We provide suggestions to facilitate the development of innovative solutions.

To develop an electrophysiological marker of proprioceptive spino-cortical tracts integrity based on corticokinematic coherence (CKC) in young children with unilateral cerebral palsy (UCP), in whom behavioral measures are not applicable.Electroencephalography (EEG) signals from 12 children with UCP aged 19 to 57 months were recorded using 128-channel EEG caps while their fingers were moved at 2 Hz by an experimenter, in separate sessions for the affected and non-affected hands. The coherence between movement kinematics and EEG signals (i.e., CKC) was computed at the sensor and source (using a realistic head model) levels. Peaks of CKC obtained for the affected and non-affected hands were compared for location and strength. The relation between CKC strength on the lesion-side, the lesion-type (cortico-subcortical vs. subcortical) and the level of manual ability were studied with 2-way repeated-measures ANOVA.At the individual level, a significant CKC peak at the central area contralateral to the moved hand was found in all young children with their non-affected hand and in 8 out of 12 children with their affected hand. At the group level, CKC to the affected hand movements was weaker than CKC to the non-affected hand movements. This difference was influenced by the type of lesion, the effect being predominant in the subgroup (n = 5) with cortico-subcortical lesions.CKC is measurable with EEG in young children with UCP and provides electrophysiological evidence for altered proprioceptive spino-cortical tracts on the lesioned brain hemisphere, particularly in children with cortico-subcortical lesions.

It is proved that if $\varphi\colon A\to B$ is a local homomorphism of commutative noetherian local rings, a nonzero finitely generated $B$-module $N$ whose flat dimension over $A$ is at most $\mathrm{edim}\, A - \mathrm{edim}\, B$, is free over $B$, and $\varphi$ is a special type of complete intersection. This result is motivated by a "patching method" developed by Taylor and Wiles, and a conjecture of de Smit, proved by the first author, dealing with the special case when $N$ is flat over $A$., Comment: 11 page; minor changes in version 2. To appear in J. Inst. Math. Jussieu

International audience; The Motor Function Measure is a standardized scoring system to evaluate motor function and monitor disease progression in neuromuscular diseases such as Duchenne muscular dystrophy. There are no available reference percentile curves for this measure. The aim of this analysis was to generate Motor Function Measure percentile curves for ambulant and non-ambulant patients affected by Duchenne Muscular Dystrophy, providing the opportunity to better evaluate the status and progression of an individual patient compared to other patients in the same age group. Data of patients aged between 6 and 15 years (819 measurements) was obtained from the international Motor Function Measure database. Age-dependent percentile curves were estimated using a "Generalized additive model for location, scale and shape" as suggested by the World Health Organisation Multicentre Growth Reference Study Group. Percentile curves for the Motor Function Measure total score and its sub-scores for patients with and without treatment with glucocorticoids are presented. Mean scores decline with age. Patients treated with glucocorticoids have higher mean values compared to glucocorticoid-naïve patients at the same age. The percentile curves with the online tool extend the clinical utility of the Motor Function Measure by facilitating the interpretation of individual standing and disease progression.

Technical solutions could facilitate activities and participation in individuals with disabilities. For the development of solutions, hackathons are a method of interdisciplinary collaboration. For hackathon, the definition of pain points that require solutions is crucial. We aimed to determine engineers' preferences and expectations regarding pain point qualities.We used a collaborative approach involving individuals with disability, families, and healthcare professionals to determine pain points for use by engineering students during a disability Hackathon. A pain point bank was built using 3 upstream sources: a survey (350 responses, 20 pain points selected), interviews (8 children, 13 pain points), and a multidisciplinary workshop based on design thinking methods (45 people, 32 pain points). A fourth source was 20 adults with disabilities present during the Hackathon. Engineering students rated pain point qualities from each source in a questionnaire that included closed questions relating to predefined criteria: achievability, specificity, relevance and attractiveness and open questions to collect non-predefined quality criteria.Pain points from the workshop were most frequently used (48%); followed by on-site discussions with mentors (43%), the survey (38%), and interviews (31%). On-site discussions received the highest quality ratings followed by the workshop, survey, and interviews. Three quality criteria emerged from the responses to open questions: "representative", "empathy", and "real-need".To be actionable by engineers, pain points must relate to real needs, be achievable, specific, relevant and attractive but also representative and arouse empathy. We devised a checklist of qualities along with a toolbox of methods to achieve each.Implications For RehabilitationThe first step of the development of technical solutions for children and individuals with disabilities is the identification of their needs and their adequate formulation to be submitted to technical solutions providers.Daily life needs of individuals with disability were gathered for an engineering hackathon and proposed as pain points to 400 engineering students.To facilitate the development of solutions by engineers, pain points must relate to real needs, be specific, relevant, achievable and attractive; be representative and arouse empathy; a toolbox of needs collection methods is proposed to achieve each of those qualities.Discussions with individuals with disability and health professionals should be provided.

Introduction Rectus femoris (RF) transfer was long the gold-standard treatment for stiff knee gait (SKG), but efficacy now seems less than that of distal RF release. The aim of the present study was to compare efficacy between the two. The study hypothesis was that both significantly improve 4 knee kinematic parameters at 1 year. Patients and Method A meta-analysis was performed, using PRISMA criteria, on the Medline, Science Direct, Cochrane Registry, Scopus and Pascal databases. Search was conducted up to March 1, 2020 by two authors (A.J & M.T). Study methodology was assessed on MINORS index. Inclusion criteria comprised patients with SKG, treated by RF transfer or distal release. Endpoints comprised: Peak Knee Flexion in swing phase (PKFSW), Knee Range of Motion (KROM), time to Peak Knee Flexion (t-PKFGC), and Maximum Knee Extension in stance phase (MKEST). Effect size was assessed on Standard Mean Deviation (SMD). Results A total of 695 studies were identified, 16 of which were included: 14 transfer, 5 release. Data were analyzed for 1,079 limbs in 768 patients. Only transfer improved PKFSW, with small effect size (SMD = 0.29). The other three parameters were improved by both techniques, with moderate effect size. Discussion Results showed improved knee kinematics after RF transfer, but with small or moderate effect size. The effect of distal release on PKF could not be assessed, due to publication bias. The heterogeneity of studies and low levels of evidence call for caution in interpreting the present results. Level of evidence III.

Objective:The term intellectually gifted (IG) refers to children of high intelligence, which is classically measured by the intelligence quotient (IQ). Some researchers assume that the cognitive profiles of these children are characterized by both strengths and weaknesses, compared with those of their typically developing (TD) peers of average IQ. The aim of the present systematic review was to verify this assumption, by compiling data from empirical studies of cognitive functions (language, motor skills, visuospatial processing, memory, attention and executive functions, social and emotional cognition) and academic performances.Method:The literature search yielded 658 articles, 15 of which met the selection criteria taken from the Preferred Reporting Items for Systematic Reviews and Meta-Analyses model. We undertook a qualitative summary, to highlight any discrepancies between cognitive functions.Results:IG children exhibited better skills than TD children in a number of domains, including attention, language, mathematics, verbal working memory, shifting, and social problem solving. However, the two groups had comparable skills in visuospatial processing, memory, planning, inhibition, and visual working memory, or facial recognition.Conclusion:Although IG children may have some strengths, many studies have failed to find differences between this population and their TD peers on many other cognitive measures. Just like any other children, they can display learning disabilities, which can be responsible for academic underachievement. Further studies are needed to better understand this heterogeneity. The present review provides pointers for overcoming methodological problems and opens up new avenues for giftedness research.

Background Real-time sequences allow functional evaluation of various joint structures during a continuous motion and help understand the pathomechanics of underlying musculoskeletal diseases. Purpose To assess and compare the image quality of the two most frequently used real-time sequences for joint dynamic magnetic resonance imaging (MRI), acquired during finger and ankle joint motion. Material and Methods A real-time dynamic acquisition protocol, including radiofrequency (RF)-spoiled and balanced steady-state free precession (bSSFP) sequences, optimized for temporal resolution with similar spatial resolution, was performed using a 3.0-T MRI scanner on 10 fingers and 12 ankles from healthy individuals during active motion. Image quality criteria were evaluated on each time frame and compared between these two sequences. Signal-to-noise ratio (SNR) and contrast-to-noise ratio (CNR) were determined and compared from regions of interest placed on cortical bone, tendon, fat, and muscle. Visualization of anatomical structures and overall image quality appreciation were rated by two radiologists using a 0–10 grading scale. Results Mean CNR was significantly higher with bSSFP sequence compared to RF-spoiled sequence. The grading score was in the range of 5–9.3 and was significantly higher with RF-spoiled sequence for bone and joint evaluation and overall image appreciation on the two joints. The standard deviation for SNR, CNR, and grading score during motion was smaller with RF-spoiled sequence for both the joints. The inter-reader reliability was excellent (>0.75) for evaluating anatomical structures in both sequences. Conclusion A RF-spoiled real-time sequence is recommended for the in vivo clinical evaluation of distal joints on a 3.0-T MRI scanner.

BackgroundCerebral palsy is a life-long condition that causes heterogeneous motor disorders. Motor rehabilitation interventions must be adapted to the topography of the symptoms, ambulatory capacity, and age of the individual. Current guidelines do not differentiate between the different profiles of individuals with cerebral palsy, which limits their implementation.ObjectivesTo develop evidence-based, implementable guidelines for motor rehabilitation interventions for individuals with cerebral palsy according to the age, topography of the cerebral palsy, and ambulatory capacity of the individual and to determine a level of priority for each intervention.MethodsWe used a mixed methods design that combined a systematic review of the literature on available motor rehabilitation interventions with expert opinions. Based on the French National Authority for Health methodology, recommendations were graded as strong, conditional, or weak. Interventions were then prioritized by the experts according to both the evidence and their own opinions on relevance and implementability to provide a guide for clinicians. All recommendations were approved by experts who were independent from the working group.ResultsStrong recommendations as first-line treatments were made for gait training, physical activities, and hand-arm bimanual intensive therapy for all children and adolescents with cerebral palsy. Moderate recommendations were made against passive joint mobilizations, muscle stretching, prolonged stretching with the limb fixed, and neurodevelopmental therapies for all children and adolescents with cerebral palsy. Strong recommendations as first-line treatments were made for gait training for all adults with cerebral palsy and moderate recommendations as moderate importance interventions for strengthening exercises and ankle-foot orthoses for motor impairment of the feet and the ankles.DiscussionThese guidelines, which combine research evidence and expert opinions, could help individuals with cerebral palsy and their families to codetermine rehabilitation goals with health professionals, according to their preferences.

International audience; Background: Upper limb movement patterns have not yet been identified in bimanual conditions despite the difficulties children with unilateral cerebral palsy have performing bimanual activities. The aim was to identify specific motor patterns from kinematic deviations during bimanual tasks in this population. Methods: Twenty children with unilateral cerebral palsy and 20 age-matched, typically developing children performed the five tasks of a 3D bimanual protocol. To evaluate upper limb kinematic deviations, 10 Arm Variable Scores were calculated for the affected /non-dominant upper limb of each participant for each task. Sparse K-means cluster analysis was applied to the 50 Arm Variable Scores of all the children to identify motor patterns and determining variables. Clinical tests of impairment (muscle strength, selectivity, spasticity) and function (Assisting hand assessment, Abilhand-Kids) were compared between the clusters obtained. Findings: Three different motor patterns were identified using the data from all the children: mild, proximal-distal and proximal-distal with trunk. The most important cluster determinants were the Arm Variable Scores for pronation-supination and wrist extension. In the cerebral palsy group, scores of impairments (p < .01) and function (Assisting Hand Assessment [p < .0011 and Abilhand-Kids [p = .0041) differed for each motor pattern. Supination and wrist extension deviations differed significantly between the groups (p < .001). Interpretation: During performance of bimanual tasks, children with unilateral cerebral palsy used distinct motor patterns that each corresponded to a specific clinical profile. Elbow-wrist deviations were the largest and most decisive and were specific to the cerebral palsy group: they should be the target of interventions to enhance bimanual function. ClinicalTrials.gov identifier: NCT03888443

We study in this article the dual of a (strictly) commutative group stack $G$ and give some applications. Using the Picard functor and the Picard stack of $G$, we first give some sufficient conditions for $G$ to be dualizable. Then, for an algebraic stack $X$ with suitable assumptions, we define an Albanese morphism $a_X : X\to A^1(X)$ where $A^1(X)$ is a torsor under the dual commutative group stack $A^0(X)$ of $Pic_{X/S}$. We prove that $a_X$ satisfies a natural universal property. We give two applications of our Albanese morphism. On the one hand, we give a geometric description of the elementary obstruction and of universal torsors (standard tools in the study of rational varieties over number fields). On the other hand we give some examples of algebraic stacks that satisfy Grothendieck's section conjecture., 40 pages. Final version, including the comments of the referees. To appear in IMRN

Background The pronator teres and pronator quadratus muscles are frequently injected with neuromuscular blocking agents to improve supination in children with spastic cerebral palsy and limited active elbow supination. However, determining by simple clinical examination whether these muscles are overactive during active movement is difficult. Objective This study aimed to develop a semi-automatic method to detect pronator muscle overactivity by using surface electromyography (EMG) during active supination movements in children with cerebral palsy. Methods In total, 25 children with unilateral spastic cerebral palsy (10 males; mean [SD] age 10.6 [3.0] years) and 12 typically developing children (7 males; mean age 11.0 [3.0] years) performed pronation–supination movements at 0.50 Hz. Kinematic parameters and surface EMG signals were recorded for both pronator muscles. Three experts visually assessed muscle overactivity in the EMG signals of the children with cerebral palsy, in comparison with the reference group. The reliability and discrimination ability of the visual assessments were analysed. Overactivity detection thresholds for the semi-automatic method were adjusted by using the visual assessment by the EMG experts. The positive and negative predictive values of the semi-automatic detection method were calculated. Results Intra-rater reliability of visual assessment by EMG experts was excellent and inter-rater reliability was moderate. For the 25 children with unilateral spastic cerebral palsy, EMG experts could discriminate different profiles of pronator overactivity during active supination: no pronator overactivity, one overactive pronator, or overactivity of both pronators. The positive and negative predictive values were 96% and 91%, respectively, for this semi-automatic detection method. Conclusions Detection of pronator overactivity by using surface EMG provides an important complement to the clinical examination. This method can be used clinically, with the condition that clinicians be aware of surface EMG limitations. We believe use of this method can increase the accuracy of treatment for muscle overactivity, resulting in improved motor function and no worsening of paresis.

The first lockdown during COVID-19 pandemic in France led to an abrupt change in children's daily lives. For children with physical disabilities and their families, activities were limited, access to healthcare and therapy was disrupted, and family organization was altered. The objective was to report the impact of the lockdown on daily life activities and well-being of children with physical disabilities as perceived by caregivers.Two online national surveys were addressed to the parents of children with physical disabilities (ECHO survey: 6 April to 11 May 2020) and without disabilities (E-COPAIN survey: 24 April to 11 May 2020), confined at home during the lockdown. A lockdown impact score was calculated from difficulties related to children's well-being (morale, behaviour and social interaction) and daily life activities (schooling and physical activity) and compared between groups. Data on family environment, parental stress and concerns were collected.One thousand three hundred seventy-six children (9.45 ± 4.78 years, 54% girls) in ECHO survey and 367 children (7.3 ± 4.4 years, 48% girls) in E-COPAIN survey were included. A negative impact of lockdown was found on 81% of children with physical disabilities. Behavioural problems were significantly more frequent (59.5% vs. 47.4%, P .005) and parental stress was higher (6.1 ± 3.33 vs. 5.3 ± 3.01, P = .005) in the ECHO group. Associated impairments (odds ratio [OR] = 1.45 [1.30-1.62], P .001), parental stress (OR = 1.09 [1.06-1.12], P .001) and continuation of rehabilitation (OR = 0.80 [0.72-0.89], P .001) were determinants of the level of difficulty experienced.The lockdown had a considerable, negative impact on the daily life of children with disabilities and their families. Guiding policymakers with the essential daily life activities and the services to provide for children with physical disabilities would offer valuable insights to manage such a sanitary crisis and allow to identify the most vulnerable population.

F. Diamond proved a numerical criterion for modules over local rings to be free modules over complete intersection rings. We formulate a refinement of these results using the notion of Wiles defect. A key step in the proof is a formula that expresses the Wiles defect of a module in terms of the Wiles defect of the underlying ring., 15 pages; minor revision. To appear in the Int. Math. Res. Notices

Background The daily lives of children with physical disabilities and their families have been significantly affected by the COVID-19 pandemic. The children face health risks, especially mental, behavioral, social and physical risks. Objective This study aimed to identify potential healthcare issues relating to the wellbeing of disabled children, continuity of rehabilitation and medical care, and parental concerns during the COVID-19 lockdown. Methods The Enfant Confinement Handicap besOins (ECHO [child lockdown disability needs]) national survey was developed by a multidisciplinary group and disseminated in France from April 6, 2020 via email and social networks. This online survey was addressed to the parents of children with physical disabilities aged 0 to 18 years. It explored the experiences of children and their families during the lockdown. Information regarding children's wellbeing, rehabilitation and family organization was collected. The first 1000 eligible surveys were analyzed. Results The children (mean [SD] age 9.5 [4.8] years) mostly had cerebral palsy (42%) or neuromuscular diseases (11%). The lockdown had negative effects on morale (44% of children), behaviour (55% of children) and social interactions (55% no contact with other children). Overall, 44% of children stopped physical activities; 76% were educated at home; 22% maintained medical follow-up, and 48% and 27% continued physiotherapy and occupational therapy respectively. For more than 60% of children, parents performed the therapy. The main parental concern was rehabilitation (72%) and their main difficulty was the mental load (50%); parents complained of lack of help and support (60%). Conclusions This study highlighted substantial effects on the health of children with physical disabilities and loss of opportunity, with a massive interruption of medical follow-up and rehabilitation, during the lockdown. Regular assessment of the health benefit/risk is essential to support families and ensure continuity of care during a pandemic.