Hausdorff dimension bounds for smoothness of holonomies for codimension 1 hyperbolic dynamics

We prove that the stable holonomies of a proper codimension 1 attractor Λ, for a Cr diffeomorphism f of a surface, are not C1+θ for θ greater than the Hausdorff dimension of the stable leaves of f intersected with Λ. To prove this result we show that there are no diffeomorphisms of surfaces, with a proper codimension 1 attractor, that are affine on a neighbourhood of the attractor and have affine stable holonomies on the attractor.

Dissecting neuronal development deficits by inflammation: from morphology to cytoskeleton dynamics

Dissertação para obtenção do Grau de Mestre em Genética Molecular e Biomedicina

Mental health promotion during pregnancy and early childhood : an action- research project in primary health care

ABSTRACT – Background: Primary Health Care (PHC) is usually the first contact with the health system, and health professionals are key mediators for enabling citizens to take care of their health. In Portugal, great improvements have been achieved in the biometric indicators of maternal and child health during the last decades. Nevertheless, scant attention has been paid to the mental health dimension, in spite of the recognition of its importance, being pregnancy and early childhood crucial opportunities in the lifecycle for mental health promotion, especially in the early years of life, with a strong impact in the health of the child. The impact of early attachment between mother and baby on maternal and child health has long been recognized. This attachment can be influenced by some factors, as the mother’s emotional adjustment. Attention to these factors may facilitate implementation of both positive conditions and preventative measures. Family support during the transition to parenthood has been highlighted as an effective measure and PHC professionals are in a privileged position as information sources as well as mediators. Aims: The project we present describes an action-research process developed together among academic researchers and health professionals to embrace these issues. We intend to enable health professionals to support families in the transition to parenthood thereby promoting children’s mental health. Approach: The project is driven by a participatory approach intended to lead to reorganization of health care during pregnancy and early childhood. Effective change happens when those involved are interested and motivated, what makes their participation so important. Reflection about current practices and needs, and knowledge about evidence-based interventions have been guiding the selection of changes to introduce in clinical practice for family support and development of parenthood skills and self-confidence. Development: We summarize the main steps in development: the initial assessment and the picture taken from the community under study; the decision making process; the training programme of PHC professionals in action; the review of the protocols of maternal consultation, home visits and antenatal education; the implementation planning; the plan for evaluation the effectiveness of the changes introduced in the delivery of maternal and child health care units. The already developed work has shown that motivation, leadership and organizational issues are decisive for process development.-------------------------- RESUMO - Os Cuidados de Saúde Primários são habitualmente o primeiro contacto com o sistema de saúde e os profissionais de saúde são mediadores chave na capacitação dos cidadãos para cuidarem da sua saúde. Em Portugal, nas últimas décadas, têm-se alcançado grandes melhorias nos indicadores biométricos de saúde materno-infantil. Contudo, tem-se dedicado pouca atenção à dimensão de saúde mental, apesar do reconhecimento da sua importância. A gravidez e primeira infância têm sido apontadas como uma oportunidade crucial no ciclo de vida para a promoção da saúde mental. É dado especial enfoque aos primeiros tempos de vida, dado o forte impacto na saúde da criança. O impacte da vinculação precoce entre a mãe e o bebé na saúde da mãe e da criança há muito que é reconhecido. Esta vinculação pode ser influenciada por vários factores, nomeadamente pelo ajustamento emocional da mãe. A focalização nestes aspectos pode facilitar a criação de condições favoráveis e a implementação de medidas preventivas. O suporte familiar durante o período de transição para a parentalidade tem sido enfatizado como uma medida eficaz e os Cuidados de Saúde Primários estão numa posição privilegiada como fontes de informação e como mediadores. O projecto que apresentamos descreve um processo de investigação- acção desenvolvido em parceria entre investigadores académicos e profissionais de saúde para abordar os aspectos referidos. Pretende-se capacitar os profissionais de saúde para apoiarem as famílias na transição para a parentalidade, promovendo assim a saúde mental das crianças. O projecto baseia-se numa abordagem participativa, direccionada para a reorganização dos cuidados durante a gravidez e primeiros tempos de vida. A mudança efectiva acontece quando os envolvidos estão interessados e motivados, o que torna a sua participação tão importante. A reflexão acerca das práticas e necessidades actuais e o conhecimento acerca de intervenções baseadas na evidência têm guiado a selecção das alterações a introduzir na prática clínica, no sentido de promover o suporte familiar e o desenvolvimento de competências parentais e auto-confiança. Neste artigo, apresentamos as etapas principais do desenvolvimento do projecto: avaliação inicial da comunidade em estudo; processo de tomada de decisão; programa de formação dos profissionais dos Cuidados de Saúde Primários; revisão dos protocolos da consulta de saúde materna, visita domiciliária e educação pré-natal; planeamento da implementação; plano de avaliação da efectividade das alterações introduzidas na prestação de cuidados. O trabalho já desenvolvido tem mostrado que a motivação, liderança e aspectos

Nonlinear dynamics of the patient’s response to drug effect during general anesthesia

In today’s healthcare paradigm, optimal sedation during anesthesia plays an important role both in patient welfare and in the socio-economic context. For the closed-loop control of general anesthesia, two drugs have proven to have stable, rapid onset times: propofol and remifentanil. These drugs are related to their effect in the bispectral index, a measure of EEG signal. In this paper wavelet time–frequency analysis is used to extract useful information from the clinical signals, since they are time-varying and mark important changes in patient’s response to drug dose. Model based predictive control algorithms are employed to regulate the depth of sedation by manipulating these two drugs. The results of identification from real data and the simulation of the closed loop control performance suggest that the proposed approach can bring an improvement of 9% in overall robustness and may be suitable for clinical practice.

Chromatin dynamics in Arbidopsis development: a live cell imaging approach

Dissertation presented to obtain the Ph.D degree in Biology

Fractional Dynamics of Computer Virus Propagation

We propose a fractional model for computer virus propagation. The model includes the interaction between computers and removable devices. We simulate numerically the model for distinct values of the order of the fractional derivative and for two sets of initial conditions adopted in the literature. We conclude that fractional order systems reveal richer dynamics than the classical integer order counterpart. Therefore, fractional dynamics leads to time responses with super-fast transients and super-slow evolutions towards the steady-state, effects not easily captured by the integer order models.

Dynamics of cork mycobiota throughout stopper manufacturing process: from diversity to metabolite

Dissertation presented to obtain the Ph.D degree in Biology

Nonlinear Dynamics for Local Fractional Burgers Equation Arising in Fractal Flow

The local fractional Burgers’ equation (LFBE) is investigated from the point of view of local fractional conservation laws envisaging a nonlinear local fractional transport equation with a linear non-differentiable diffusion term. The local fractional derivative transformations and the LFBE conversion to a linear local fractional diffusion equation are analyzed.

Fractional Dynamics in the Rayleigh's Piston

This paper studies the dynamics of the Rayleigh piston using the modeling tools of Fractional Calculus. Several numerical experiments examine the effect of distinct values of the parameters. The time responses are transformed into the Fourier domain and approximated by means of power law approximations. The description reveals characteristics usual in Fractional Brownian phenomena.

Fractional Dynamics Representation in the Pseudo Phase Plane

Proceedings of the 10th Conference on Dynamical Systems Theory and Applications

Control and Dynamics of Fractional Order Systems

Fractional Calculus (FC) goes back to the beginning of the theory of differential calculus. Nevertheless, the application of FC just emerged in the last two decades due to the progress in the area of nonlinear dynamics. This article discusses several applications of fractional calculus in science and engineering, namely: the control of heat systems, the tuning of PID controllers based on fractional calculus concepts and the dynamics in hexapod locomotion.

Fractional Dynamics and Control of Distributed Parameter Systems

Fractional Calculus (FC) goes back to the beginning of the theory of differential calculus. Nevertheless, the application of FC just emerged in the last two decades, due to the progress in the area of chaos that revealed subtle relationships with the FC concepts. In the field of dynamical systems theory some work has been carried out but the proposed models and algorithms are still in a preliminary stage of establishment. Having these ideas in mind, the paper discusses a FC perspective in the study of the dynamics and control of some distributed parameter systems.

Chaos Dynamics in the Trajectory Conjtrol of Redundant Manipulators

Nonlinear Dynamics, chaos, Control, and Their Applications to Engineering Sciences: Vol. 6 - Applications of nonlinear phenomena

Fractional Dynamics in Forest Fires

Every year forest fires consume large areas, being a major concern in many countries like Australia, United States and Mediterranean Basin European Countries (e.g., Portugal, Spain, Italy and Greece). Understanding patterns of such events, in terms of size and spatiotemporal distributions, may help to take measures beforehand in view of possible hazards and decide strategies of fire prevention, detection and suppression. Traditional statistical tools have been used to study forest fires. Nevertheless, those tools might not be able to capture the main features of fires complex dynamics and to model fire behaviour [1]. Forest fires size-frequency distributions unveil long range correlations and long memory characteristics, which are typical of fractional order systems [2]. Those complex correlations are characterized by self-similarity and absence of characteristic length-scale, meaning that forest fires exhibit power-law (PL) behaviour. Forest fires have also been proved to exhibit time-clustering phenomena, with timescales of the order of few days [3]. In this paper, we study forest fires in the perspective of dynamical systems and fractional calculus (FC). Public domain forest fires catalogues, containing data of events occurred in Portugal, in the period 1980 up to 2011, are considered. The data is analysed in an annual basis, modelling the occurrences as sequences of Dirac impulses. The frequency spectra of such signals are determined using Fourier transforms, and approximated through PL trendlines. The PL parameters are then used to unveil the fractional-order dynamics characteristics of the data. To complement the analysis, correlation indices are used to compare and find possible relationships among the data. It is shown that the used approach can be useful to expose hidden patterns not captured by traditional tools.

Representações de Amizade em Jovens com Deficiência Mental

Dissertação apresentada para cumprimento dos requisitos necessários à obtenção do grau de Mestre em Ciências da Educação