On the DNA of eleven mammals

This paper studies the DNA code of eleven mammals from the perspective of fractional dynamics. The application of Fourier transform and power law trendlines leads to a categorical representation of species and chromosomes. The DNA information reveals long range memory characteristics.

Reorganização do controlo postural do tronco e a sua influência na distribuição de carga na posição ortostática em indivíduos com Acidente Vascular Encefálico

Introdução: O Acidente Vascular Encefálico (AVE) consiste numa das primeiras causas de mortalidade e morbilidade em Portugal. Esta lesão do Sistema Nervoso Central (SNC) desencadeia alterações ao nível do controlo postural (CP), que interferem com a recuperação funcional dos indivíduos. Objetivo: Deste modo, torna-se premente descrever as alterações do CP do tronco através da análise dos alinhamentos dos segmentos corporais do tronco no grupo de indivíduos selecionados, face à aplicação de um programa de intervenção baseado nos princípios do Conceito de Bobath. Metodologia: Estudo de série de casos, em seis indivíduos com alterações neuromotoras decorrentes de AVE, os quais foram avaliados antes e após o plano de intervenção segundo a abordagem baseada nos princípios do Conceito de Bobath, através do registo observacional, da Classificação Internacional de Funcionalidade Incapacidade e Saúde (CIF), da utilização do Software de Avaliação Postural (SAPO) e da Plataforma de Pressões da Emed (PPE), modelo AT. Os dados recolhidos foram trabalhados em função do valor médio através do software Excel. Resultados: A análise do SAPO, na posição ortostática observam-se mudanças quer na vista posterior quer nas laterais, indicando uma maior simetria entre hemitroncos, e mudanças nos alinhamentos verticais indicando uma maior aproximação dos 180º. Na PPE observam-se os valores da área plantar, da pressão plantar média e do centro de pressão, tendem globalmente a uma maior semelhança e simetria. Quanto à CIF também se verificou uma diminuição da restrição na participação e limitação na atividade. Conclusão: A intervenção baseada no processo de raciocínio clínico aparenta introduzir os estímulos necessários à reorganização funcional do SNC lesado, produzindo melhorias ao nível dos alinhamentos dos segmentos corporais e desta forma melhorar a atividade muscular.

Stiffness da tibiotársica em sujeitos com Acidente Vascular Encefálico - processo de raciocínio clínico

regula a posição do corpo no espaço, sendo um pré-requisito para o movimento. À periferia este processo de Controlo Postural pode ser identificado também através da variação do stiffness. O Acidente Vascular Encefálico apresenta-se como a patologia onde os sujeitos são referenciados como tendo alteração do stiffness, e poderão verificar-se modificações nesta variável no âmbito da reabilitação neuro-motora. Objetivo: Descrever o comportamento do stiffness da tibiotársica, nos dois membros inferiores, em indivíduos pós Acidente Vascular Encefálico, face a uma intervenção em fisioterapia baseada num processo de raciocínio clínico. Métodos: 5 sujeitos participaram no estudo, tendo sido implementado um programa de reabilitação para cada um dos sujeitos, por um período de 3 meses, com 2 momentos de avaliação (M0 e M1). O torque e a amplitude articular da tibiotársica foi monitorizada, através do dinamómetro isocinético, durante o movimento passivo de dorsiflexão, a diferentes velocidades (5º/s, 1º/s e 0,25º/s) A atividade eletromiográfica dos músculos Gastrocnémio Interno e Solear foi também recolhida. O valor de stiffness foi calculado através da relação torque/posição. Resultados: Em todos os sujeitos em estudo verificou-se que de uma forma geral o stiffness do membro contralateral à lesão apresentou uma modificação no sentido da diminuição em todas as amplitudes em M1. Nos sujeitos A e C, verificou-se que o stiffness do membro ipsilateral apresentou uma modificação no sentido da diminuição em M1 (em amplitudes intermédias). Nos sujeitos B, D e E o stiffness não apresentou modificações. O stiffness não variou com a velocidade. Conclusão: O stiffness apontou para uma diminuição, nos sujeitos em estudo no membro contralateral à lesão e no membro ipsilateral à lesão nos sujeitos A e C em amplitudes intermédias.

Electrochemical DNA-sensor for evaluation of total antioxidant capacity of flavours and flavoured waters using superoxide radical damage

In this paper, a biosensor based on a glassy carbon electrode (GCE) was used for the evaluation of the total antioxidant capacity (TAC) of flavours and flavoured waters. This biosensor was constructed by immobilising purine bases, guanine and adenine, on a GCE. Square wave voltammetry (SWV) was selected for the development of this methodology. Damage caused by the reactive oxygen species (ROS), superoxide radical (O2·−), generated by the xanthine/xanthine oxidase (XOD) system on the DNA-biosensor was evaluated. DNA-biosensor encountered with oxidative lesion when it was in contact with the O2·−. There was less oxidative damage when reactive antioxidants were added. The antioxidants used in this work were ascorbic acid, gallic acid, caffeic acid, coumaric acid and resveratrol. These antioxidants are capable of scavenging the superoxide radical and therefore protect the purine bases immobilized on the GCE surface. The results demonstrated that the DNA-based biosensor is suitable for the rapid assess of TAC in beverages.

Complex order biped rhythms

Animal locomotion is a complex process, involving the central pattern generators (neural networks, located in the spinal cord, that produce rhythmic patterns), the brainstem command systems, the steering and posture control systems and the top layer structures that decide which motor primitive is activated at a given time. Pinto and Golubitsky studied an integer CPG model for legs rhythms in bipeds. It is a four-coupled identical oscillators' network with dihedral symmetry. This paper considers a new complex order central pattern generator (CPG) model for locomotion in bipeds. A complex derivative Dα±jβ, with α, β ∈ ℜ+, j = √-1, is a generalization of the concept of an integer derivative, where α = 1, β = 0. Parameter regions where periodic solutions, identified with legs' rhythms in bipeds, occur, are analyzed. Also observed is the variation of the amplitude and period of periodic solutions with the complex order derivative.

Fractional central pattern generators for bipedal locomotion

Locomotion has been a major research issue in the last few years. Many models for the locomotion rhythms of quadrupeds, hexapods, bipeds and other animals have been proposed. This study has also been extended to the control of rhythmic movements of adaptive legged robots. In this paper, we consider a fractional version of a central pattern generator (CPG) model for locomotion in bipeds. A fractional derivative D α f(x), with α non-integer, is a generalization of the concept of an integer derivative, where α=1. The integer CPG model has been proposed by Golubitsky, Stewart, Buono and Collins, and studied later by Pinto and Golubitsky. It is a network of four coupled identical oscillators which has dihedral symmetry. We study parameter regions where periodic solutions, identified with legs’ rhythms in bipeds, occur, for 0<α≤1. We find that the amplitude and the period of the periodic solutions, identified with biped rhythms, increase as α varies from near 0 to values close to unity.

Mathematical model for HIV dynamics in HIV-specific helper cells

In this paper we study a delay mathematical model for the dynamics of HIV in HIV-specific CD4 + T helper cells. We modify the model presented by Roy and Wodarz in 2012, where the HIV dynamics is studied, considering a single CD4 + T cell population. Non-specific helper cells are included as alternative target cell population, to account for macrophages and dendritic cells. In this paper, we include two types of delay: (1) a latent period between the time target cells are contacted by the virus particles and the time the virions enter the cells and; (2) virus production period for new virions to be produced within and released from the infected cells. We compute the reproduction number of the model, R0, and the local stability of the disease free equilibrium and of the endemic equilibrium. We find that for values of R0<1, the model approaches asymptotically the disease free equilibrium. For values of R0>1, the model approximates asymptotically the endemic equilibrium. We observe numerically the phenomenon of backward bifurcation for values of R0⪅1. This statement will be proved in future work. We also vary the values of the latent period and the production period of infected cells and free virus. We conclude that increasing these values translates in a decrease of the reproduction number. Thus, a good strategy to control the HIV virus should focus on drugs to prolong the latent period and/or slow down the virus production. These results suggest that the model is mathematically and epidemiologically well-posed.

New findings on the dynamics of HIV and TB coinfection models

In this paper we study a model for HIV and TB coinfection. We consider the integer order and the fractional order versions of the model. Let α∈[0.78,1.0] be the order of the fractional derivative, then the integer order model is obtained for α=1.0. The model includes vertical transmission for HIV and treatment for both diseases. We compute the reproduction number of the integer order model and HIV and TB submodels, and the stability of the disease free equilibrium. We sketch the bifurcation diagrams of the integer order model, for variation of the average number of sexual partners per person and per unit time, and the tuberculosis transmission rate. We analyze numerical results of the fractional order model for different values of α, including α=1. The results show distinct types of transients, for variation of α. Moreover, we speculate, from observation of the numerical results, that the order of the fractional derivative may behave as a bifurcation parameter for the model. We conclude that the dynamics of the integer and the fractional order versions of the model are very rich and that together these versions may provide a better understanding of the dynamics of HIV and TB coinfection.

Exciting dynamical behavior in a network of two coupled rings of Chen oscillators

We study exotic patterns appearing in a network of coupled Chen oscillators. Namely, we consider a network of two rings coupled through a “buffer” cell, with Z3×Z5 symmetry group. Numerical simulations of the network reveal steady states, rotating waves in one ring and quasiperiodic behavior in the other, and chaotic states in the two rings, to name a few. The different patterns seem to arise through a sequence of Hopf bifurcations, period-doubling, and halving-period bifurcations. The network architecture seems to explain certain observed features, such as equilibria and the rotating waves, whereas the properties of the chaotic oscillator may explain others, such as the quasiperiodic and chaotic states. We use XPPAUT and MATLAB to compute numerically the relevant states.

Desempenho Manual do Membro Superior Ipsilesional em Indivíduos com Acidente Vascular Encefálico

Introdução: nos pacientes que sofreram um Acidente Vascular Encefálico são incididos programas de reabilitação que visam principalmente o hemicorpo contralesional, negligenciando o lado ipsilesional. Porém, estão descritas alterações sensitivas e motoras do membro superior ipsilesional neste grupo populacional. Objetivo: avaliar os défices de sensibilidade, destreza grossa e fina e força de preensão da mão ipsilesional em indivíduos com diagnóstico de Acidente Vascular Encefálico, comparando o sexo, o hemisfério cerebral onde se localiza a lesão, a fase aguda e crónica, tendo como referência um grupo controlo. Metodologia: este estudo observacional de carácter analítico transversal foi constituído por 34 indivíduos em que 18 deles tem diagnóstico de Acidente Vascular Encefálico e 16 sem défices neurológicos. A avaliação foi iniciada com um questionário para recolha de informações dos participantes e de seguida foram aplicados instrumentos de avaliação num só momento com o mesmo examinador. Para avaliar a sensibilidade foi usado o Moving Touch-Pressure Test, para a força o Dinamómetro Baseline®, na avaliação da destreza grossa o Teste Caixa e Blocos e por fim a destreza fina com o Purdue Pegboard Test. Estatisticamente recorreu-se ao teste T-student para amostras independentes com nível de significância de 0,05. Resultados: verificou-se que o membro superior ipsilesional dos indivíduos que sofreram um AVE apresenta um défice na força de preensão manual com nível se significância de p=0,001, e de p=0,000 para a destreza fina e grossa e sensibilidade, quando comparados com um grupo controlo. Constatou-se também que no grupo de indivíduos com diagnóstico de Acidente Vascular Encefálico, o sexo masculino obteve melhores resultados em todos os parâmetros avaliados. Observou-se ainda que tanto os homens como as mulheres após sofrerem um Acidente Vascular Encefálico apresentam défices funcionais na mão ipsilesional, mas no entanto os homens apresentam apenas alterações na destreza grossa (p=0,017) e na força (p=0,001). Na comparação dos hemisférios cerebrais lesados e das fases aguda e crónica do AVE verificou-se que não houve diferenças significativas. Conclusão: Existem défices no membro superior ipsilesional após Acidente Vascular Encefálico, sendo então pertinente a sua inclusão em programas de reabilitação, podendo assim melhorar a qualidade de vida dos indivíduos com esta patologia.

Power Law Behavior and Self-similarity in Modern Industrial Accidents

Advances in technology have produced more and more intricate industrial systems, such as nuclear power plants, chemical centers and petroleum platforms. Such complex plants exhibit multiple interactions among smaller units and human operators, rising potentially disastrous failure, which can propagate across subsystem boundaries. This paper analyzes industrial accident data-series in the perspective of statistical physics and dynamical systems. Global data is collected from the Emergency Events Database (EM-DAT) during the time period from year 1903 up to 2012. The statistical distributions of the number of fatalities caused by industrial accidents reveal Power Law (PL) behavior. We analyze the evolution of the PL parameters over time and observe a remarkable increment in the PL exponent during the last years. PL behavior allows prediction by extrapolation over a wide range of scales. In a complementary line of thought, we compare the data using appropriate indices and use different visualization techniques to correlate and to extract relationships among industrial accident events. This study contributes to better understand the complexity of modern industrial accidents and their ruling principles.

Effects of treatment, awareness and condom use in a coinfection model for HIV and HCV in MSM

We develop a new a coinfection model for hepatitis C virus (HCV) and the human immunodeficiency virus (HIV). We consider treatment for both diseases, screening, unawareness and awareness of HIV infection, and the use of condoms. We study the local stability of the disease-free equilibria for the full model and for the two submodels (HCV only and HIV only submodels). We sketch bifurcation diagrams for different parameters, such as the probabilities that a contact will result in a HIV or an HCV infection. We present numerical simulations of the full model where the HIV, HCV and double endemic equilibria can be observed. We also show numerically the qualitative changes of the dynamical behavior of the full model for variation of relevant parameters. We extrapolate the results from the model for actual measures that could be implemented in order to reduce the number of infected individuals.

Strange Dynamics in a Fractional Derivative of Complex-Order Network of Chaotic Oscillators

We study the peculiar dynamical features of a fractional derivative of complex-order network. The network is composed of two unidirectional rings of cells, coupled through a "buffer" cell. The network has a Z3 × Z5 cyclic symmetry group. The complex derivative Dα±jβ, with α, β ∈ R+ is a generalization of the concept of integer order derivative, where α = 1, β = 0. Each cell is modeled by the Chen oscillator. Numerical simulations of the coupled cell system associated with the network expose patterns such as equilibria, periodic orbits, relaxation oscillations, quasiperiodic motion, and chaos, in one or in two rings of cells. In addition, fixing β = 0.8, we perceive differences in the qualitative behavior of the system, as the parameter c ∈ [13, 24] of the Chen oscillator and/or the real part of the fractional derivative, α ∈ {0.5, 0.6, 0.7, 0.8, 0.9, 1.0}, are varied. Some patterns produced by the coupled system are constrained by the network architecture, but other features are only understood in the light of the internal dynamics of each cell, in this case, the Chen oscillator. What is more important, architecture and/or internal dynamics?