Evaluating P-NET message's response time with fixed priority queuing at application process level

P-NET is a multi-master fieldbus standard based on a virtual token passing scheme. In P-NET each master is allowed to transmit only one message per token visit. In the worst-case, the communication response time can be derived considering that, in each token cycle, all stations use the token to transmit a message. In this paper, we define a more sophisticated P-NET model, which considers the actual token utilisation. We then analyse the possibility of implementing a local priority-based scheduling policy to improve the real-time behaviour of P-NET.

Communication response time in P-NET networks: worst-case analysis considering the actual token utilisation

Fieldbus networks aim at the interconnection of field devices such as sensors, actuators and small controllers. Therefore, they are an effective technology upon which Distributed Computer Controlled Systems (DCCS) can be built. DCCS impose strict timeliness requirements to the communication network. In essence, by timeliness requirements we mean that traffic must be sent and received within a bounded interval, otherwise a timing fault is said to occur. P-NET is a multi-master fieldbus standard based on a virtual token passing scheme. In P-NET each master is allowed to transmit only one message per token visit, which means that in the worst-case the communication response time could be derived considering that the token is fully utilised by all stations. However, such analysis can be proved to be quite pessimistic. In this paper we propose a more sophisticated P-NET timing analysis model, which considers the actual token utilisation by different masters. The major contribution of this model is to provide a less pessimistic, and thus more accurate, analysis for the evaluation of the worst-case communication response time in P-NET fieldbus networks.

Integrating inaccessibility in response time analysis of CAN networks

Controller Area Network (CAN) is a fieldbus network suitable for small-scale Distributed Computer Controlled Systems, being appropriate for transferring short real-time messages. Nevertheless, it must be understood that the continuity of service is not fully guaranteed, since it may be disturbed by temporary periods of network inaccessibility [1]. In this paper, such temporary periods of network inaccessibility are integrated in the response time analysis of CAN networks. The achieved results emphasise that, in the presence of temporary periods of network inaccessibility, a CAN network is not able to provide different integrity levels to the supported applications, since errors in low priority messages interfere with the response time of higher priority message streams.

Response time analysis of slotted WiDom in noisy wireless channels

WiDom is a wireless prioritized medium access control protocol which offers very large number of priority levels. Hence, it brings the potential to employ non-preemptive static-priority scheduling and schedulability analysis for a wireless channel assuming that the overhead of WiDom is modeled properly. Recent research has created a new version of WiDom (we call it: Slotted WiDom) which offers lower overhead compared to the previous version. In this paper we propose a new schedulability analysis for slotted WiDom and extend it to work for message streams with release jitter. Furthermore, to provide an accurate timing analysis, we must include the effect of transmission faults on message latencies. Thus, in the proposed analysis we consider the existence of different noise sources and develop the analysis for the case where messages are transmitted under noisy wireless channels. Evaluation of the proposed analysis is done by testing the slotted WiDom in two different modes on a real test-bed. The results from the experiments provide a firm validation on our findings.

Fuzzy clustering applied to a demand response model in a smart grid contingency scenario

This paper focus on a demand response model analysis in a smart grid context considering a contingency scenario. A fuzzy clustering technique is applied on the developed demand response model and an analysis is performed for the contingency scenario. Model considerations and architecture are described. The demand response developed model aims to support consumers decisions regarding their consumption needs and possible economic benefits.

Response time analysis of COTS-Based multicores considering the contention on the shared memory bus

The current industry trend is towards using Commercially available Off-The-Shelf (COTS) based multicores for developing real time embedded systems, as opposed to the usage of custom-made hardware. In typical implementation of such COTS-based multicores, multiple cores access the main memory via a shared bus. This often leads to contention on this shared channel, which results in an increase of the response time of the tasks. Analyzing this increased response time, considering the contention on the shared bus, is challenging on COTS-based systems mainly because bus arbitration protocols are often undocumented and the exact instants at which the shared bus is accessed by tasks are not explicitly controlled by the operating system scheduler; they are instead a result of cache misses. This paper makes three contributions towards analyzing tasks scheduled on COTS-based multicores. Firstly, we describe a method to model the memory access patterns of a task. Secondly, we apply this model to analyze the worst case response time for a set of tasks. Although the required parameters to obtain the request profile can be obtained by static analysis, we provide an alternative method to experimentally obtain them by using performance monitoring counters (PMCs). We also compare our work against an existing approach and show that our approach outperforms it by providing tighter upper-bound on the number of bus requests generated by a task.

Fractional order modelling of zero length column desorption response for adsorbents with variable particle sizes

This manuscript analyses the data generated by a Zero Length Column (ZLC) diffusion experimental set-up, for 1,3 Di-isopropyl benzene in a 100% alumina matrix with variable particle size. The time evolution of the phenomena resembles those of fractional order systems, namely those with a fast initial transient followed by long and slow tails. The experimental measurements are best fitted with the Harris model revealing a power law behavior.

HIV/AIDS knowledge among men who have sex with men: applying the item response theory

OBJECTIVE To evaluate the level of HIV/AIDS knowledge among men who have sex with men in Brazil using the latent trait model estimated by Item Response Theory. METHODS Multicenter, cross-sectional study, carried out in ten Brazilian cities between 2008 and 2009. Adult men who have sex with men were recruited (n = 3,746) through Respondent Driven Sampling. HIV/AIDS knowledge was ascertained through ten statements by face-to-face interview and latent scores were obtained through two-parameter logistic modeling (difficulty and discrimination) using Item Response Theory. Differential item functioning was used to examine each item characteristic curve by age and schooling. RESULTS Overall, the HIV/AIDS knowledge scores using Item Response Theory did not exceed 6.0 (scale 0-10), with mean and median values of 5.0 (SD = 0.9) and 5.3, respectively, with 40.7% of the sample with knowledge levels below the average. Some beliefs still exist in this population regarding the transmission of the virus by insect bites, by using public restrooms, and by sharing utensils during meals. With regard to the difficulty and discrimination parameters, eight items were located below the mean of the scale and were considered very easy, and four items presented very low discrimination parameter (< 0.34). The absence of difficult items contributed to the inaccuracy of the measurement of knowledge among those with median level and above. CONCLUSIONS Item Response Theory analysis, which focuses on the individual properties of each item, allows measures to be obtained that do not vary or depend on the questionnaire, which provides better ascertainment and accuracy of knowledge scores. Valid and reliable scales are essential for monitoring HIV/AIDS knowledge among the men who have sex with men population over time and in different geographic regions, and this psychometric model brings this advantage.

A framework for the response time analysis of fixed-priority tasks with stochastic inter-arrival times

Real-time scheduling usually considers worst-case values for the parameters of task (or message stream) sets, in order to provide safe schedulability tests for hard real-time systems. However, worst-case conditions introduce a level of pessimism that is often inadequate for a certain class of (soft) real-time systems. In this paper we provide an approach for computing the stochastic response time of tasks where tasks have inter-arrival times described by discrete probabilistic distribution functions, instead of minimum inter-arrival (MIT) values.

Fractional-order impulse response of the respiratory system

This paper presents the measurement, frequency-response modeling and identification, and the corresponding impulse time response of the human respiratory impedance and admittance. The investigated adult patient groups were healthy, diagnosed with chronic obstructive pulmonary disease and kyphoscoliosis, respectively. The investigated children patient groups were healthy, diagnosed with asthma and cystic fibrosis, respectively. Fractional order (FO) models are identified on the measured impedance to quantify the respiratory mechanical properties. Two methods are presented for obtaining and simulating the time-domain impulse response from FO models of the respiratory admittance: (i) the classical pole-zero interpolation proposed by Oustaloup in the early 90s, and (ii) the inverse discrete Fourier Transform (DFT). The results of the identified FO models for the respiratory admittance are presented by means of their average values for each group of patients. Consequently, the impulse time response calculated from the frequency response of the averaged FO models is given by means of the two methods mentioned above. Our results indicate that both methods provide similar impulse response data. However, we suggest that the inverse DFT is a more suitable alternative to the high order transfer functions obtained using the classical Oustaloup filter. Additionally, a power law model is fitted on the impulse response data, emphasizing the intrinsic fractal dynamics of the respiratory system.

Biogeographic and palaeoclimatic relationships of the Middle Pliocene ichthyofauna of the Samoggia Torrent (Bologna, Italy)

New Middle Pliocene ichthyofauna (2.4-2.2 Ma) from central-eastern Italy (Samoggia Torrent, Bologna) are described. These ichthyolites were found in a rather thin laminated layer that was deposited after the 2.4 Ma climatic crisis. The origin of this deposit, in which 31 taxa have been classified, is to be related to anoxic events on a regional and, probably, supraregional scale. This ichthyofaunistic association, which consists of living genera, is characterized by a clearcut predominance of mesopelagic species. The palaeoclimatic characters of these ichthyofauna indicate subtropical-type waters, while from a palaeobiogeographic point of view there is a close relationship with the present-day Atlantic-Mediterranean bioprovince. The Samoggia deposit has yielded six taxa that are absent or only occasionally present in the Mediterranean: one of these, Spratelloides gracilis, is exclusive of the Indo-Pacific bioprovince.

Fuzzy clustering applied to a demand response model in a smatr grid contingency scenario

This paper focus on a demand response model analysis in a smart grid context considering a contingency scenario. A fuzzy clustering technique is applied on the developed demand response model and an analysis is performed for the contingency scenario. Model considerations and architecture are described. The demand response developed model aims to support consumers decisions regarding their consumption needs and possible economic benefits.

Política(s) de saúde no trabalho : um inquérito sociológico às empresas portuguesas

Resumo Política(s) de saúde no trabalho: um inquérito sociológico às empresas portuguesas A literatura portuguesa sobre políticas, programas e actividades de Segurança, Higiene e Saúde no Trabalho (abreviadamente, SH&ST) é ainda escassa. Com este projecto de investigação pretende-se (i) colmatar essa lacuna, (ii) melhorar o conhecimento dos sistemas de gestão da saúde e segurança no trabalho e (iii) contribuir para a protecção e a promoção da saúde dos trabalhadores. Foi construída uma tipologia com cinco grupos principais de políticas, programas e actividades: A (Higiene & Segurança no Trabalho / Melhoria do ambiente físico de trabalho); B (Avaliação de saúde / Vigilância médica / Prestação de cuidados de saúde); C (Prevenção de comportamentos de risco/ Promoção de estilos de vida saudáveis); D (Intervenções a nível organizacional / Melhoria do ambiente psicossocial de trabalho); E (Actividades e programas sociais e de bem-estar). Havia uma lista de mais de 60 actividades possíveis, correspondendo a um índice de realização de 100%. Foi concebido e desenhado, para ser auto-administrado, um questionário sobre Política de Saúde no Local de Trabalho. Foram efectuados dois mailings, e um follow-up telefónico. O trabalho de campo decorreu entre a primavera de 1997 e o verão de 1998. A amostra (n=259) é considerada representativa das duas mil maiores empresas do país. Uma em cada quatro é uma multinacional. A taxa de sindicalização rondava os 30% da população trabalhadora, mas apenas 16% dos respondentes assinalou a existência de representantes dos trabalhadores eleitos para a SH&ST. A hipótese de investigação principal era a de que as empresas com um sistema integrado de gestão da SH&ST seriam também as empresas com um (i) maior número de políticas, programas e actividades de saúde; (ii) maior índice de saúde; (iii) maior índice de realização; e (iv) maior percentagem dos encargos com a SH&ST no total da massa salarial. As actividades de tipo A e B, tradicionalmente associadas à SH&ST, representavam, só por si, mais de 57% do total. Os resultados, correspondentes às respostas da Secção C do questionário, apontam, para (i) a hipervalorização dos exames de medicina do trabalho; e por outro para (ii) o subaproveitamento de um vasto conjunto de actividades (nomeadamente as de tipo D e E), que são correntemente levadas a cabo pelas empresas e que nunca ou raramente são pensadas em termos de protecção e promoção da saúde dos trabalhadores. As actividades e os programas de tipo C (Prevenção de comportamentos de risco/Promoção de estilos de vida saudáveis), ainda eram as menos frequentes entre nós, a seguir aos Programas sociais e de bem-estar (E). É a existência de sistemas de gestão integrados de SH&ST, e não o tamanho da empresa ou outra característica sociodemográfica ou técnico-organizacional, que permite predizer a frequência de políticas de saúde mais activas e mais inovadores. Os três principais motivos ou razões que levam as empresas portuguesas a investir na protecção e promoção da saúde dos seus trabalhadores eram, por ordem de frequência, (i) o absentismo em geral; (ii) a produtividade, qualidade e/ou competitividade, e (iii) a filosofia de gestão ou cultura organizacional. Quanto aos três principais benefícios que são reportados, surge em primeiro lugar (i) a melhoria da saúde dos trabalhadores, seguida da (ii) melhoria do ambiente do ambiente de trabalho e, por fim, (iii) a melhoria da produtividade, qualidade e/ou competitividade.Quanto aos três principais obstáculos que se põem, em geral, ao desenvolvimento das iniciativas de saúde, eles seriam os seguintes, na percepção dos respondentes: (i) a falta de empenho dos trabalhadores; (ii) a falta de tempo; e (iii) os problemas de articulação/ comunicação a nível interno. Por fim, (i) o empenho das estruturas hierárquicas; (ii) a cultura organizacional propícia; e (iii) o sentido de responsabilidade social surgem, destacadamente, como os três principais factores facilitadores do desenvolvimento da política de saúde no trabalho. Tantos estes factores como os obstáculos são de natureza endógena, susceptíveis portanto de controlo por parte dos gestores. Na sua generalidade, os resultados deste trabalho põem em evidência a fraqueza teóricometodológica de grande parte das iniciativas de saúde, realizadas na década de 1990. Muitas delas seriam medidas avulsas, que se inserem na gestão corrente das nossas empresas, e que dificilmente poderão ser tomadas como expressão de uma política de saúde no local de trabalho, (i) definida e assumida pela gestão de topo, (ii) socialmente concertada, (iii) coerente, (iv) baseada na avaliação de necessidades e expectativas de saúde dos trabalhadores, (v) divulgada, conhecida e partilhada por todos, (vi) contingencial, flexível e integrada, e, por fim, (vii) orientada por custos e resultados. Segundo a Declaração do Luxemburgo (1997), a promoção da saúde engloba o esforço conjunto dos empregadores, dos trabalhadores, do Estado e da sociedade civil para melhorar a segurança, a saúde e o bem-estar no trabalho, objectivo isso que pode ser conseguido através da (i) melhoria da organização e das demais condições de trabalho, da (ii) participação efectiva e concreta dos trabalhadores bem como do seu (iii) desenvolvimento pessoal. Abstract Health at work policies: a sociological inquiry into Portuguese corporations Portuguese literature on workplace health policies, programs and activities is still scarce. With this research project the author intends (i) to improve knowledge on the Occupational Health and Safety (shortly thereafter, OSH) management systems and (ii) contribute to the development of health promotion initiatives at a corporate level. Five categories of workplace health initiatives have been identified: (i) Occupational Hygiene and Safety / Improvement of Physical Working Environment (type A programs); (ii) Health Screening, Medical Surveillance and Other Occupational Health Care Provision (type B programs); (iii) Preventing Risk Behaviours / Promoting Healthy Life Styles (type C programs); (iv) Organisational Change / Improvement of Psycho-Social Working Environment (type D programs); and (v) Industrial and Social Welfare (type E programs). A mail questionnaire was sent to the Chief Executive Officer of the 1500 largest Portuguese companies, operating in the primary and secondary sectors (≥ 100 employees) or tertiary sector (≥ 75 employees). Response rate has reached about 20% (259 respondents, representing about 300 companies). Carried out between Spring 1997 and Summer 1998, the fieldwork has encompassed two direct mailings and one phone follow-up. Sample is considered to be representative of the two thousand largest companies. One in four is a multinational. Union membership rate is about 30%, but only 16% has reported the existence of a workers’ health and safety representative. The most frequent workplace health initiatives were those under the traditional scope of the OSH field (type A and B programs) (57% of total) (e.g., Periodical Medical Examinations; Individual Protective Equipment; Assessment of Working Ability). In SMEs (< 250) it was less likely to find out some time-consuming and expensive activities (e.g., Training on OSH knowledge and skills, Improvement of environmental parameters as ventilation, lighting, heating).There were significant differences in SMEs, when compared with the larger ones (≥ 250) concerning type B programs such as Periodical medical examinations, GP consultation, Nursing care, Other medical and non-medical specialities (e.g., psychiatrist, psychologist, ergonomist, physiotherapist, occupational social worker). With regard to type C programs, there were a greater percentage of programs centred on Substance abuse (tobacco, alcohol, and drug) than on Other health risk behaviours. SMEs representatives reported very few prevention- oriented programs in the field of Drug abuse, Nutrition, Physical activity, Off- job accidents, Blood pressure or Weight control. Frequency of type D programs included Training on Human Resources Management, Training on Organisational Behaviour, Total Quality Management, Job Design/Ergonomics, and Workplace rehabilitation. In general, implementation of this type of programs (Organisational Change / Improvement of Psychosocial Working Environment) is not largely driven by health considerations. Concerning Industrial and Social Welfare (Type E programs), the larger employers are in a better position than SMEs to offer to their employees a large spectrum of health resources and facilities (e.g., Restaurant, Canteen, Resting room, Transport, Infra-structures for physical activity, Surgery, Complementary social protection, Support to recreational and cultural activities, Magazine or newsletter, Intranet). Other workplace health promotion programs like Training on Stress Management, Employee Assistance Programs, or Self-help groups are uncommon in the Portuguese worksites. The existence of integrated OSH management systems, not the company size, is the main variable explaining the implementation of more active and innovative workplace health policies in Portugal. The three main prompting factors reported by employers for health protection and promotion initiatives are: (i) Employee absenteeism; (ii) Productivity, quality and/or competitiveness; and (iii) Corporate culture/management philosophy. On the other hand, (i) Improved staff’s health, (ii) Improved working environment and (iii) Improved productivity, quality and/or competitiveness were the three main benefits reported by companies’ representatives, as a result of successful implementation of workplace health initiatives. (i) Lack of staff commitment; (ii) Lack of time; and (iii) Problems of co-operation and communication within company or establishment (iii) are perceived to be the main barriers companies must cope with. Asked about the main facilitating factors, these companies have pointed out the following ones: (i) Top management commitment; (ii) Corporate culture; and (iii) Sense of social responsibility. This sociological research report shows the methodological weaknesses of workplace health initiatives, carried out by Portuguese companies during the last ‘90s. In many cases, these programs and actions were not part of a corporate health strategy and policy, (i) based on the assessment of workers’ health needs and expectancies, (ii) advocated by the employer or the chief executive officer, (ii) planned and implemented with the staff consultation and participation or (iv) evaluated according to a cost-benefit analysis. In short, corporate health policy and action were still rather based on more traditional OSH approaches and should be reoriented towards Workplace Health Promotion (WHP) approach. According to the Luxembourg Declaration of Workplace Health Promotion in the European Union (1997), WHP is “a combination of: (i) improving the work organisation and environment; (ii) promoting active participation; (iii) encouraging personal development”.Résumée Politique(s) de santé au travail: une enquête sociologique aux entreprises portugaises Au Portugal on ne sait presque rien des politiques de santé au travail, adoptés par les entreprises. Avec ce projet de recherche, on veut (i) améliorer la connaissance sur les systèmes de gestion de la santé et de la sécurité au travail et, au même temps, (ii) contribuer au développement de la promotion de la santé des travailleurs. Une typologie a été usée pour identifier les politiques, programmes et actions de santé au travail: A. Amélioration des conditions de travail / Sécurité au travail; B. Médecine du travail /Santé au travail; C. Prévention des comportements de risque / Promotion de styles de vie sains; D. Interventions organisationnelles / Amélioration des facteurs psychosociaux au travail; E. Gestion de personnel et bien-être social. Un questionnaire postal a été envoyé au représentant maximum des grandes entreprises portugaises, industrielles (≥ 100 employés) ou des services (≥ 75 employés). Le taux de réponse a été environ 20% (259 répondants, concernant trois centaines d’entreprises et d’établissements). La recherche de champ, conduite du printemps 1997 à l’été 1998, a compris deux enquêtes postales et un follow-up téléphonique. L´échantillon est représentatif de la population des deux miles plus grandes entreprises. Un quart sont des multinationales. Le taux de syndicalisation est d’environ 30%. Toutefois, il y a seulement 16% de lieux de travail avec des représentants du personnel pour la santé et sécurité au travail. Les initiatives de santé au travail les plus communes sont celles concernant le domaine plus traditionnel (types A et B) (57% du total): par exemple, les examens de médecine du travail, l’équipement de protection individuelle, les tests d’aptitude au travail. En ce qui concerne les programmes de type C, les plus fréquents sont le contrôle et la prévention des addictions (tabac, alcool, drogue). Les interventions dans le domaine de du système technique et organisationnelle du travail peuvent comprendre les courses de formation en gestion de ressources humaines ou en psychosociologie des organisations, l’ergonomie, le travail posté ou la gestion de la qualité totale. En général, la protection et la promotion de la santé des travailleurs ne sont pas prises en considération dans l’implémentation des initiatives de type D. Il y a des différences quand on compare les grandes entreprises et les moyennes en matière de politique de gestion du personnel e du bien-être (programmes de type E, y compris l’allocation de ressources humaines ou logistiques comme, par exemple, restaurant, journal d’entreprise, transports, installations et équipements sportifs). D’autres activités de promotion de la santé au travail comme la formation en gestion du stress, les programmes d’ assistance aux employés, ou les groupes de soutien et d’auto-aide sont encore très peu fréquents dans les entreprises portugaises. C’est le système intégré de gestion de la santé et de la sécurité au travail, et non pas la taille de l’entreprise, qui aide à prédire l’existence de politiques actives et innovatrices dans ce domaine. Les trois facteurs principaux qui encouragent les actions de santé (prompting factors, en anglais) sont (i) l’absentéisme (y compris la maladie), (ii) les problèmes liés à la productivité, qualité et/ou la compétitivité, et aussi (iii) la culture de l’entreprise/philosophie de gestion. Du coté des bénéfices, on a obtenu surtout l’amélioration (i) de la santé du personnel, (ii) des conditions de travail, et (iii) de la productivité, qualité et/ou compétitivité.Les facteurs qui facilitent les actions de santé au travail sont (i) l’engagement de la direction, (ii) la culture de l’entreprise, et (iii) le sens de responsabilité sociale. Par contre, les obstacles à surmonter, selon les organisations qui ont répondu au questionnaire, seraient surtout (i) le manque d’engagement des travailleurs et de leur représentants, (ii) le temps insuffisant, et (iii) les problèmes de articulation/communication au niveau interne de l’entreprise/établissement. Ce travail de recherche sociologique montre la faiblesse méthodologique des services et activités de santé et sécurité au travail, mis en place par les entreprises portugaises dans les années de 1990, à la suite des accords de concertation sociale de 1991. Dans beaucoup de cas, (i) ces politiques de santé ne font pas partie encore d’un système intégré de gestion, (ii) il n’a pas d’évaluation des besoins et des expectatives des travailleurs, (iii) c’est très bas ou inexistant le niveau de participation du personnel, (iv) on ne fait pas d’analyse coût-bénéfice. On peut conclure que les politiques de santé au travail sont plus proches de la médecine du travail et de la sécurité au travail que de la promotion de la santé des travailleurs. Selon la Déclaration du Luxembourg sur la Promotion de la Santé au Lieu de Travail dans la Communauté Européenne (1997), celle-ci « comprend toutes les mesures des employeurs, des employés et de la société pour améliorer l'état de santé et le bien être des travailleurs » e « ceci peut être obtenu par la concentration des efforts dans les domaines suivants: (i) amélioration de l'organisation du travail et des conditions de travail ; (ii) promotion d'une participation active des collaborateurs ; (iii) renforcement des compétences personnelles ».

Severity of malocclusion in adolescents: populational-based study in the north of Minas Gerais, Brazil

ABSTRACT OBJECTIVE To identify the factors associated with severity of malocclusion in a population of adolescents. METHODS In this cross-sectional population-based study, the sample size (n = 761) was calculated considering a prevalence of malocclusion of 50.0%, with a 95% confidence level and a 5.0% precision level. The study adopted correction for the effect of delineation (deff = 2), and a 20.0% increase to offset losses and refusals. Multistage probability cluster sampling was adopted. Trained and calibrated professionals performed the intraoral examinations and interviews in households. The dependent variable (severity of malocclusion) was assessed using the Dental Aesthetic Index (DAI). The independent variables were grouped into five blocks: demographic characteristics, socioeconomic condition, use of dental services, health-related behavior and oral health subjective conditions. The ordinal logistic regression model was used to identify the factors associated with severity of malocclusion. RESULTS We interviewed and examined 736 adolescents (91.5% response rate), 69.9% of whom showed no abnormalities or slight malocclusion. Defined malocclusion was observed in 17.8% of the adolescents, being severe or very severe in 12.6%, with pressing or essential need of orthodontic treatment. The probabilities of greater severity of malocclusion were higher among adolescents who self-reported as black, indigenous, pardo or yellow, with lower per capita income, having harmful oral habits, negative perception of their appearance and perception of social relationship affected by oral health. CONCLUSIONS Severe or very severe malocclusion was more prevalent among socially disadvantaged adolescents, with reported harmful habits and perception of compromised esthetics and social relationships. Given that malocclusion can interfere with the self-esteem of adolescents, it is essential to improve public policy for the inclusion of orthodontic treatment among health care provided to this segment of the population, particularly among those of lower socioeconomic status.

Fractional derivatives: probability interpretation and frequency response of rational approximations

The theory of fractional calculus (FC) is a useful mathematical tool in many applied sciences. Nevertheless, only in the last decades researchers were motivated for the adoption of the FC concepts. There are several reasons for this state of affairs, namely the co-existence of different definitions and interpretations, and the necessity of approximation methods for the real time calculation of fractional derivatives (FDs). In a first part, this paper introduces a probabilistic interpretation of the fractional derivative based on the Grünwald-Letnikov definition. In a second part, the calculation of fractional derivatives through Padé fraction approximations is analyzed. It is observed that the probabilistic interpretation and the frequency response of fraction approximations of FDs reveal a clear correlation between both concepts.