Modelação do transporte e dispersão de um marcador corado no Rio Febros

O rio Febros é um pequeno curso de água, situado no concelho de Vila Nova de Gaia, com cerca de 15 km de extensão, cuja bacia hidrográfica ocupa uma área de aproximadamente 35,4 km2. Nasce em Seixezelo e desagua na margem esquerda do Rio Douro no Cais do Esteiro, em Avintes. Em Maio de 2008, um acidente de viação teve como consequência o derrame de cerca de quatro toneladas de ácido clorídrico que rapidamente convergiu às águas do rio. Apenas um dia depois, o pH desceu para três e muitos foram os peixes que morreram. A solução adoptada para evitar o desaire foi introduzir milhares de litros de água de modo a diluir o ácido presente, ao longo de todo o curso de água. Tal facto não evitou a destruição de parte de um ecossistema, que ainda nos dias de hoje se encontra em recuperação. De forma a avaliar-se o impacto destas possíveis perturbações sejam estas de origem antropogénica ou natural é necessário possuir conhecimentos dos processos químicos tais como a advecção, a mistura devida à dispersão e a transferência de massa ar/água. Estes processos irão determinar o movimento e destino das substâncias que poderão ser descarregadas no rio. Para tal, recorrer-se-á ao estudo hidrogeométrico do curso de água assim como ao estudo do comportamento de um marcador, simulando uma possível descarga. A rodamina WT será o marcador a ser utilizado devido à panóplia de características ambientalmente favoráveis. Os estudos de campo com este corante, realizados em sequência de descarga previamente estudada, fornecem uma das melhores fontes de informação para verificação e validação de modelos hidráulicos utilizados em estudos de qualidade de águas e protecção ambiental. Escolheram-se dois pontos de descarga no Febros, um em Casal Drijo e outro no Parque Biológico de Gaia, possuindo cada um deles, a jusante, duas estações de monitorização. Pelo modelo ADE os valores obtidos para o coeficiente de dispersão longitudinal para as estações Pontão d’ Alheira, Pinheiral, Menesas e Giestas foram, respectivamente, 0,3622; 0,5468; 1,6832 e 1,7504 m2/s. Para a mesma sequência de estações, os valores da velocidade de escoamento obtidos neste trabalho experimental foram de 0,0633; 0,0684; 0,1548 e 0,1645 m/s. Quanto ao modelo TS, os valores obtidos para o coeficiente de dispersão longitudinal para as estações Pontão d’ Alheira, Pinheiral, Menesas e Giestas foram, respectivamente, 0,2339; 0,1618; 0,5057e 1,1320 m2/s. Para a mesma sequência de estações, os valores da velocidade de escoamento obtidos neste trabalho experimental foram de 0,0652; 0,0775; 0,1891 e 0,1676 m/s. Os resultados foram ajustados por um método directo, o método dos momentos, e por dois métodos indirectos, os modelos ADE e TS. O melhor ajuste corresponde ao modelo TS onde os valores do coeficiente de dispersão longitudinal e da velocidade de escoamento são aqueles que melhor se aproximam da realidade. Quanto ao método dos momentos, o valor estimado para a velocidade é de 0,162 m/s e para o coeficiente de dispersão longitudinal de 9,769 m2/s. Não obstante, a compreensão da hidrodinâmica do rio e das suas características, bem como a adequação de modelos matemáticos no tratamento de resultados formam uma estratégia de protecção ambiental inerente a futuros impactos que possam suceder.

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.

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.

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.

Calcium signaling and the novel anti-proliferative effect of the UTP-sensitive P2Y11 receptor in rat cardiac myofibroblasts

During myocardial ischemia and reperfusion both purines and pyrimidines are released into the extracellular milieu, thus creating a signaling wave that propagates to neighboring cells via membrane-bound P2 purinoceptors activation. Cardiac fibroblasts (CF) are important players in heart remodeling, electrophysiological changes and hemodynamic alterations following myocardial infarction. Here, we investigated the role UTP on calcium signaling and proliferation of CF cultured from ventricles of adult rats. Co-expression of discoidin domain receptor 2 and -smooth muscle actin indicate that cultured CF are activated myofibroblasts. Intracellular calcium ([Ca2+]i) signals were monitored in cells loaded with Fluo-4 NW. CF proliferation was evaluated by the MTT assay. UTP and the selective P2Y4 agonist, MRS4062, caused a fast desensitizing [Ca2+]i rise originated from thapsigargin-sensitive internal stores, which partially declined to a plateau providing the existence of Ca2+ in the extracellular fluid. The biphasic [Ca2+]i response to UTP was attenuated respectively by P2Y4 blockers, like reactive blue-2 and suramin, and by the P2Y11 antagonist, NF340. UTP and the P2Y2 receptor agonist MRS2768 increased, whereas the selective P2Y11 agonist NF546 decreased, CF growth; MRS4062 was ineffective. Blockage of the P2Y11receptor or its coupling to adenylate cyclase boosted UTP-induced CF proliferation. Confocal microscopy and Western blot analysis confirmed the presence of P2Y2, P2Y4 and P2Y11 receptors. Data indicate that besides P2Y4 and P2Y2 receptors which are responsible for UTP-induced [Ca2+]i transients and growth of CF, respectively, synchronous activation of the previously unrecognized P2Y11 receptor may represent an important target for anti-fibrotic intervention in cardiac remodeling.

Hydrogeomechanics for rock engineering: coupling subsurface hydrogeomechanical assessement and hydrogeotechnical mapping on fracturated rock masses

The present work aims to achieve and further develop a hydrogeomechanical approach in Caldas da Cavaca hydromineral system rock mass (Aguiar da Beira, NW Portugal), and contribute to a better understanding of the hydrogeological conceptual site model. A collection of several data, namely geology, hydrogeology, rock and soil geotechnics, borehole hydraulics and hydrogeomechanics, was retrieved from three rock slopes (Lagoa, Amores and Cancela). To accomplish a comprehensive analysis and rock engineering conceptualisation of the site, a multi‐technical approach were used, such as, field and laboratory techniques, hydrogeotechnical mapping, hydrogeomechanical zoning and hydrogeomechanical scheme classifications and indexes. In addition, a hydrogeomechanical data analysis and assessment, such as Hydro‐Potential (HP)‐Value technique, JW Joint Water Reduction index, Hydraulic Classification (HC) System were applied on rock slopes. The hydrogeomechanical zone HGMZ 1 of Lagoa slope achieved higher hydraulic conductivities with poorer rock mass quality results, followed by the hydrogeomechanical zone HGMZ 2 of Lagoa slope, with poor to fair rock mass quality and lower hydraulic parameters. In addition, Amores slope had a fair to good rock mass quality and the lowest hydraulic conductivity. The hydrogeomechanical zone HGMZ 3 of Lagoa slope, and the hydrogeomechanical zones HGMZ 1 and HGMZ 2 of Cancela slope had a fair to poor rock mass quality but were completely dry. Geographical Information Systems (GIS) mapping technologies was used in overall hydrogeological and hydrogeomechanical data integration in order to improve the hydrogeological conceptual site model.