941 resultados para Stability and instability of simple modes of oscillation
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The three-dimensional wall-bounded open cavity may be considered as a simplified geometry found in industrial applications such as leading gear or slotted flats on the airplane. Understanding the three-dimensional complex flow structure that surrounds this particular geometry is therefore of major industrial interest. At the light of the remarkable former investigations in this kind of flows, enough evidences suggest that the lateral walls have a great influence on the flow features and hence on their instability modes. Nevertheless, even though there is a large body of literature on cavity flows, most of them are based on the assumption that the flow is two-dimensional and spanwise-periodic. The flow over realistic open cavity should be considered. This thesis presents an investigation of three-dimensional wall-bounded open cavity with geometric ratio 6:2:1. To this aim, three-dimensional Direct Numerical Simulation (DNS) and global linear instability have been performed. Linear instability analysis reveals that the onset of the first instability in this open cavity is around Recr 1080. The three-dimensional shear layer mode with a complex structure is shown to be the most unstable mode. I t is noteworthy that the flow pattern of this high-frequency shear layer mode is similar to the observed unstable oscillations in supercritical unstable case. DNS of the cavity flow carried out at different Reynolds number from steady state until a nonlinear saturated state is obtained. The comparison of time histories of kinetic energy presents a clearly dominant energetic mode which shifts between low-frequency and highfrequency oscillation. A complete flow patterns from subcritical cases to supercritical case has been put in evidence. The flow structure at the supercritical case Re=1100 resembles typical wake-shedding instability oscillations with a lateral motion existed in the subcritical cases. Also, This flow pattern is similar to the observations in experiments. In order to validate the linear instability analysis results, the topology of the composite flow fields reconstructed by linear superposition of a three-dimensional base flow and its leading three-dimensional global eigenmodes has been studied. The instantaneous wall streamlines of those composited flows display distinguish influence region of each eigenmode. Attention has been focused on the leading high-frequency shear layer mode; the composite flow fields have been fully recognized with respect to the downstream wave shedding. The three-dimensional shear layer mode is shown to give rise to a typical wake-shedding instability with a lateral motions occurring downstream which is in good agreement with the experiment results. Moreover, the spanwise-periodic, open cavity with the same length to depth ratio has been also studied. The most unstable linear mode is different from the real three-dimensional cavity flow, because of the existence of the side walls. Structure sensitivity of the unstable global mode is analyzed in the flow control context. The adjoint-based sensitivity analysis has been employed to localized the receptivity region, where the flow is more sensible to momentum forcing and mass injection. Because of the non-normality of the linearized Navier-Stokes equations, the direct and adjoint field has a large spatial separation. The strongest sensitivity region is locate in the upstream lip of the three-dimensional cavity. This numerical finding is in agreement with experimental observations. Finally, a prototype of passive flow control strategy is applied.
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Este trabajo presenta un método discreto para el cálculo de estabilidad hidrodinámica y análisis de sensibilidad a perturbaciones externas para ecuaciones diferenciales y en particular para las ecuaciones de Navier-Stokes compressible. Se utiliza una aproximación con variable compleja para obtener una precisión analítica en la evaluación de la matriz Jacobiana. Además, mapas de sensibilidad para la sensibilidad a las modificaciones del flujo de base y a una fuerza constante permiten identificar las regiones del campo fluido donde una modificacin (ej. fuerza puntual) tiene un efecto estabilizador del flujo. Se presentan cuatro casos de prueba: (1) un caso analítico para comprobar la derivación discreta, (2) una cavidad cerrada a bajo Reynolds para mostrar la mayor precisión en el cálculo de los valores propios con la aproximación de paso complejo, (3) flujo 2D en un cilindro circular para validar la metodología, y (4) flujo en un cavidad abierta, presentado para validar el método en casos de inestabilidades convectivamente inestables. Los tres últimos casos mencionados (2-4) se resolvieron con las ecuaciones de Navier-Stokes compresibles, utilizando un método Discontinuous Galerkin Spectral Element Method. Se obtuvo una buena concordancia para el caso de validación (3), cuando se comparó el nuevo método con resultados de la literatura. Además, este trabajo muestra que para el cálculo de los modos propios directos y adjuntos, así como para los mapas de sensibilidad, el uso de variables complejas es de suprema importancia para obtener una predicción precisa. El método descrito es aplicado al análisis para la estabilización de la estela generada por un disco actuador, que representa un modelo sencillo para hélices, rotores de helicópteros o turbinas eólicas. Se explora la primera bifurcación del flujo para un disco actuador, y se sugiere que está asociada a una inestabilidad de tipo Kelvin-Helmholtz, cuya estabilidad se controla con en el número de Reynolds y en la resistencia del disco actuador (o fuerza resistente). En primer lugar, se verifica que la disminución de la resistencia del disco tiene un efecto estabilizador parecido a una disminución del Reynolds. En segundo lugar, el análisis hidrodinmico discreto identifica dos regiones para la colocación de una fuerza puntual que controle las inestabilidades, una cerca del disco y otra en una zona aguas abajo. En tercer lugar, se muestra que la inclusión de un forzamiento localizado cerca del actuador produce una estabilización más eficiente que al forzar aguas abajo. El análisis de los campos de flujo controlados confirma que modificando el gradiente de velocidad cerca del actuador es más eficiente para estabilizar la estela. Estos resultados podrían proporcionar nuevas directrices para la estabilización de la estela de turbinas de viento o de marea cuando estén instaladas en un parque eólico y minimizar las interacciones no estacionarias entre turbinas. ABSTRACT A discrete framework for computing the global stability and sensitivity analysis to external perturbations for any set of partial differential equations is presented. In particular, a complex-step approximation is used to achieve near analytical accuracy for the evaluation of the Jacobian matrix. Sensitivity maps for the sensitivity to base flow modifications and to a steady force are computed to identify regions of the flow field where an input could have a stabilising effect. Four test cases are presented: (1) an analytical test case to prove the theory of the discrete framework, (2) a lid-driven cavity at low Reynolds case to show the improved accuracy in the calculation of the eigenvalues when using the complex-step approximation, (3) the 2D flow past a circular cylinder at just below the critical Reynolds number is used to validate the methodology, and finally, (4) the flow past an open cavity is presented to give an example of the discrete method applied to a convectively unstable case. The latter three (2–4) of the aforementioned cases were solved with the 2D compressible Navier–Stokes equations using a Discontinuous Galerkin Spectral Element Method. Good agreement was obtained for the validation test case, (3), with appropriate results in the literature. Furthermore, it is shown that for the calculation of the direct and adjoint eigenmodes and their sensitivity maps to external perturbations, the use of complex variables is paramount for obtaining an accurate prediction. An analysis for stabilising the wake past an actuator disc, which represents a simple model for propellers, helicopter rotors or wind turbines is also presented. We explore the first flow bifurcation for an actuator disc and it suggests that it is associated to a Kelvin- Helmholtz type instability whose stability relies on the Reynolds number and the flow resistance applied through the disc (or actuator forcing). First, we report that decreasing the disc resistance has a similar stabilising effect to an decrease in the Reynolds number. Second, a discrete sensitivity analysis identifies two regions for suitable placement of flow control forcing, one close to the disc and one far downstream where the instability originates. Third, we show that adding a localised forcing close to the actuator provides more stabilisation that forcing far downstream. The analysis of the controlled flow fields, confirms that modifying the velocity gradient close to the actuator is more efficient to stabilise the wake than controlling the sheared flow far downstream. An interesting application of these results is to provide guidelines for stabilising the wake of wind or tidal turbines when placed in an energy farm to minimise unsteady interactions.
Linear and nonlinear thermal instability of Newtonian and non-Newtonian fluid saturated porous media
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The present work aims to investigate the influence of different aspects, such as non-standard steady solutions, complex fluid rheologies and non-standard porous-channel geometries, on the stability of a Darcy-Bénard system. In order to do so, both linear and nonlinear stability theories are considered. A linear analysis focuses on studying the dynamics of the single disturbance wave present in the system, while its nonlinear counterpart takes into consideration the interactions among the single modes. The scope of the stability analysis is to obtain information regarding the transition from an equilibrium solution to another one, and also information regarding the transition nature and the emergent solution after the transition. The disturbance governing equations are solved analytically, whenever possible, and numerical by considering different approaches. Among other important results, it is found that a cylinder cross-section does not affect the thermal instability threshold, but just the linear pattern selection for dilatant and pseudoplastic fluid saturated porous media. A new rheological model is proposed as a solution for singular issues involving the power-law model. Also, a generalised class of one parameter basic solutions is proposed as an alternative description of the isoflux Darcy--Bénard problem. Its stability is investigated.
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A simple, fast, and complete route for the production of methylic and ethylic biodiesel from tucum oil is described. Aliquots of the oil obtained directly from pressed tucum (pulp and almonds) were treated with potassium methoxide or ethoxide at 40 degrees C for 40 min. The biodiesel form was removed from the reactor and washed with 0.1 M HCl aqueous solution. A simple distillation at 100 degrees C was carried out in order to remove water and alcohol species from the biodiesel. The oxidative stability index was obtained for the tucum oil as well as the methylic and ethylic biodiesel at 6.13, 2.90, and 2.80 h, for storage times higher than 8 days. Quality control of the original oil and of the methylic and ethylic biodiesels, such as the amount of glycerin produced during the transesterification process, was accomplished by the TLC, GC-MS, and FT-IR techniques. The results obtained in this study indicate a potential biofuel production by simple treatment of tucum, an important Amazonian fruit.
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The phase transition of Reissner-Nordstrom AdS(4) interacting with a massive charged scalar field has been further revisited. We found exactly one stable and one unstable quasinormal mode region for the scalar field. The two of them are separated by the first marginally stable solution.
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We study the stability of AdS black holes rotating in a single two-plane for tensor-type gravitational perturbations in D > 6 space-time dimensions. First, by an analytic method, we show that there exists no unstable mode when the magnitude a of the angular momentum is smaller than r(h)(2)/R, where r(h) is the horizon radius and R is the AdS curvature radius. Then, by numerical calculations of quasinormal modes, using the separability of the relevant perturbation equations, we show that an instability occurs for rapidly rotating black holes with a > r(h)(2)/R, although the growth rate is tiny (of order 10(-12) of the inverse horizon radius). We give numerical evidence indicating that this instability is caused by superradiance.
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We consider scalar perturbations in the time dependent Horava-Witten model in order to probe its stability. We show that during the nonsingular epoque the model evolves without instabilities until it encounters the curvature singularity where a big crunch is supposed to occur. We compute the frequencies of the scalar field oscillation during the stable period and show how the oscillations can be used to prove the presence of such a singularity.
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Dissertação de mestrado integrado em Engenharia Biomédica
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RÉSUMÉ: Le génome de toute cellule est susceptible d'être attaqué par des agents endogènes et exogènes. Afin de préserver l'intégrité génomique, les cellules ont développé des multitudes de mécanismes. La réplication de l'ADN, une étape importante durant le cycle cellulaire, constitue un stress et présente un danger important pour l'intégrité du génome. L'anémie de Fanconi est une maladie héréditaire rare dont les protéines impliquées semblent jouer un rôle crucial dans la réponse au stress réplicatif. La maladie est associée à une instabilité chromosomique ainsi qu'à une forte probabilité de développer des cancers. Les cellules des patients souffrant de l'anémie de Fanconi sont sensibles à des agents interférant avec la réplication de l'ADN, et plus particulièrement àdes agents qui fient les deux brins d'ADN d'une manière covalente. L'anémie de Fanconi est une maladie génétiquement hétérogène. Treize protéines ont pu être identifiées. Elles semblent figurer dans une même voie de signalisation qui est aussi connue sous le nom de « FA/BRCA pathway », car un des gènes est identique au gène BRCA2 (breast cancer susceptibility gene 2). Huit protéines forment un complexe nucléaire dont l'intégrité est nécessaire à la monoubiquitination de deux autres protéines, FANCD2 et FANCI, en réponse à un stress réplicatif. A ce jour, la fonction moléculaire des protéines du « FA/BRCA pathway »reste encore mal décrite. Au début de mon travail de thèse, nous avons donc décidé de purifier les protéines du complexe nucléaire et d'étudier leurs propriétés biochimiques. Nous avons tout d'abord étudié les cinq protéines connues à l'époque qui sont FANCA, FANCC, FANCE, FANCF et FANCG. Par la suite, nous avons étendu notre étude à des protéines découvertes plus récemment, FANCL, FANCM et FAAP24, en concentrant finalement notre travail sur la caractérisation de FANCM. FANCM, contrairement aux autres protéines du complexe, est constituée de deux domaines conservés suggérant un rôle important dans le métabolisme de l'ADN. Il s'agit d'un domaine « DEAH box hélicase »situé dans la partie N-terminale et d'un domaine « ERCC4 nuclease »situé dans la partie C-terminale de la protéine. Dans cette étude, nous avons purifié avec succès la protéine FANCM entière à partir d'un système hétérologue. Nous montrons que FANCM s'attache de manière spécifique à des jonctions de Holliday et des fourches de réplication. De plus, nous démontrons que FANCM peut déplacer le point de jonction de ces structures via son domaine hélicase de manière dépendante de l'ATP. FANCM est aussi capable de dissocier de grands intermédiaires de la recombinaison, via la migration de jonctions de Holliday à travers une région d'homologie de 2.6 kb. Tous ces résultats suggèrent que FANCM peut s'attacher spécifiquement à des fourches de réplication et à des jonctions de Holliday in vitro et que son domaine hélicase est associé à une activité migratoire efficace. Nous pensons que FANCM peut avoir un rôle direct sur les intermédiaires de réplication. Ceci est en accord avec l'idée que les protéines de l'anémie de Fanconi coordonnent la réparation de l'ADN au niveau des fourches de réplication arrêtées. Nos résultats donnent une première indication quant au rôle de FANCM dans la cellule et peuvent contribuer à élucider la fonction de cette voie de signalisation peu comprise jusqu'à présent. SUMMARY: The genome of every cell is subject to a constant offence by endogenous and exogenous agents. Not surprisingly; cells have evolved a multitude of mechanisms which aim at preserving genomic integrity. A key step during the life cycle of a cell, DNA replication itself, constitutes a special danger to the integrity of the genome. The proteins defective in the rare hereditary disease Fanconi anemia (FA) are suspected to play a crucial role in the cellular response to DNA replication stress. The disease is associated with chromosomal instability and pronounced cancer susceptibility. Cells from Fanconi anemia patients are sensitive to a variety of agents which interfere with DNA replication, DNA interstrand cross-linking agents being particularly threatening to their survival. Fanconi anemia is a genetically heterogeneous disease with 13 different proteins identified, which seem to work together in a common pathway. Since one of the FA genes is identical to the breast cancer susceptibility gene BRCA2, it is also referred to as the FA/BRCA pathway. Eight proteins form a nuclear complex, whose integriry is required for the monoubiquitination of two other FA proteins, FANCD2 and FANCI, in response to DNA replication stress. Despite intensive research, the function of the FA/BRCA pathway at a molecular level has remained largely elusive so far. At the beginning of my thesis, we therefore decided to purify the proteins of the FA core complex and to investigate their biochemical properties. We started with the five proteins which were known at that time, FANCA, FANCC, FANCE, FANCF, and FACG. Later on, we extended our studies to the newly discovered proteins FANCL, FANCM, and FAAP24, and eventually focused our work on the characterisation of FANCM. In contrast to the other core complex proteins, FANCM contains two conserved domains, which point to a role in DNA metabolism: an N-terminal DEAH box helicase domain and a C-terminal ERCC4 nuclease domain. In this study, we have successfully purified full-length FANCM from a recombinant source. We show that purified FANCM binds to branched DNA molecules, such as Holliday junctions and replication forks, with high specificity and affinity. In addition, we demonstrate that FANCM can translocate the junction point of branched DNA molecules due to its helicase domain in an ATPase-dependent manner. FANCM can even dissociate large recombination intermediates, via branch migration of Holliday junctions through a 2.6 kb region of homology. Taken together, our data suggest that FANCM can specifically bind to replication forks and Holliday junctions in vitro, and that its DEAH box helicase domain is associated with a potent branch migration activity. We propose that FANCM might have a direct role in the processing of DNA replication intermediates. This is consistent with the current view that FA proteins coordinate DNA repair at stalled replication forks. Our findings provide a first hint as to the context in which FANCM might play a role in the cell. We are optimistic that they might be key to further elucidate the function of a pathway which is far from being understood.
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Diplomityön tavoitteena oli tutkia miten ilman turbulenttisuus vaikuttaa tasaisesti liikkuvan rainan tilaan. Yhtenä sovelluskohteena teollisuudessa voidaan mainita esimerkiksi leiju-kuivain. Tiedetään, että konenopeuksien kasvu ja siitä johtuva ilmavirran nopeuden kasvu aiheuttaa voimavaikutuksia rainaan ja voi aiheuttaa lepatusta. Lepatus johtaa dynaamiseen epästabiilisuuteen, joka voidaan havaita, kun lineaarinen systeemi tulee epävakaaksi ja joh-taa epälineaariseen, rajoitettuun värähtelyyn. Lepatus huonontaa tuotteiden laatua ja voi johtaa ratakatkoihin. Työssä on esitetty tietoa ilman ja rainan vuorovaikutuksesta, jota hyödyntämällä voidaan kehittää yksinkertaistettu malli, jonka avulla liikkuvaa rainaa voidaan simuloida kuivaimes-sa. Kaasufaasin virtausyhtälöt on ratkaistu eri turbulenttimalleja käyttäen. Myös viskoelas-tisen rainan muodonmuutosta on tarkasteltu. Koska rainalle ei ole kirjallisuudesta saatavilla tarkkoja fysikaalisia ja mekaanisia arvoja, näitä ominaisuuksia testattiin eri arvoilla, jotta rainan käyttäytymistä jännityksen alaisena voidaan tarkastella. Näiden ominaisuuksien tun-teminen on ensiarvoisen tärkeää määritettäessä rainan aeroviskoelastista käyttäytymistä. Virtaussimulointi on kallista ja aikaa vievää. Tämä tarkoittaa uusien tutkimusmenetelmien omaksumista. Tässä työssä vaihtoehtoisena lähestymistapana on esitetty yksinkertaistettu malli, joka sisältää ilman ja rainan vuorovaikutusta kuvaavat ominaisuudet. Mallin avulla saadaan tietoa epälineaarisuuden ja turbulenssin vaikutuksesta sekä monimutkaisesta yh-teydestä stabiilisuuden ja ulkoisesti aikaansaadun värähtelyn sekä itse aiheutetun värähtelyn välillä. Työn lopussa on esitetty havainnollinen esimerkki, jolla voidaan kuvata olosuhteita, jossa rainan tasainen liike muuttuu epävakaaksi. Kun turbulenttisuudesta johtuva painevaih-telu ylittää tietyn rajan, rainan värähtely kasvaa muuttuen satunnaisesta järjestäytyneeksi. Saaduttulokset osoittavat, että turbulenttisuudella on suuri vaikutus eikä sitä voi jättää huomioimatta. Myös rainan viskoelastiset ominaisuudet tulee huomioida, jotta rainan käyt-täytymistä voidaan kuvata tarkasti.
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The ease of production and manipulation has made plasmid DNA a prime target for its use in gene transfer technologies such as gene therapy and DNA vaccines. The major drawback of plasmid however is its stability within mammalian cells. Plasmid DNA is usually lost by cellular mechanisms or as a result of mitosis by simple dilution. This study set out to search for mammalian genomic DNA sequences that would enhance the stability of plasmid DNA in mammalian cells.Creating a plasmid based genomic DNA library, we were able to screen the human genome by transfecting the library into Human Embryonic Kidney (HEK 293) Cells. Cells that contained plasmid DNA were selected, using G418 for 14 days. The resulting population was then screened for the presence of biologically active plasmid DNA using the process of transformation as a detector.A commercially available plasmid DNA isolation kit was modified to extract plasmid DNA from mammalian cells. The standardized protocol had a detection limit of -0.6 plasmids per cell in one million cells. This allowed for the detection of 45 plasmids that were maintained for 32 days in the HEK 293 cells. Sequencing of selected inserts revealed a significantly higher thymine content in comparison to the human genome. Sequences with high A/T content have been associated with Scaffold/Matrix Attachment Region (S/MAR) sequences in mammalian cells. Therefore, association with the nuclear matrix might be required for the stability of plasmids in mammalian cells.
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La démence d'Alzheimer est une maladie neurodégénérative caractérisée par une perte progressive et irreversible des fonctions cognitives et des compétences intellectuelles. La maladie d’Alzheimer se présente sous deux formes: la forme familiale ou précoce (EOAD) qui représente 5% des cas et elle est liée à des mutations génétiques affectant le métabolisme des peptides amyloïde; et la forme tardive ou sporadique (LOAD) qui représente 95% des cas mais son étiologie est encore mal définie. Cependant, le vieillissement reste le principal facteur de risque pour développer LOAD. Les changements épigénétiques impliquant des modifications des histones jouent un rôle crucial dans les maladies neurodégénératives et le vieillissement lié à l'âge. Des données récentes ont décrit LOAD comme un désordre de l'épigénome et ont associé ce trouble à l'instabilité génomique. Les protéines Polycomb sont des modificateurs épigénétiques qui induisent le remodelage de la chromatine et la répression des gènes à l'hétérochromatine facultative. Nous rapportons que les souris hétérozygotes pour une protéine Polycomb développent avec l'âge un trouble neurologique ressemblant à LOAD caractérisé par l’altération des fonctions cognitives, la phosphorylation de la protéine tau, l'accumulation des peptides amyloïde, et le dysfonctionnement synaptique. Ce phénotype pathologique est précédé par la décondensation de l’hétérochromatine neuronale et l'activation de la réponse aux dommages à l'ADN. Parallèlement, une réduction d’expression de polycomb, malformations de l'hétérochromatine neuronale, et l'accumulation de dommages à l'ADN étaient également présents dans les cerveaux de patients LOAD. Remarquablement, les dommages de l'ADN ne sont pas distribués de façon aléatoire sur le génome mais sont enrichis au niveau des séquences répétitives. Les conclusions présentées dans cette thèse ont identifié des modifications épigénétiques spécifiques qui conduisent à une instabilité génomique aberrante menant à la formation de LOAD. Ces résultats vont aider au développement de nouveaux traitements qui peuvent potentiellement ralentir la neurodégénérescence.
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The origin of the eddy variability around the 25°S band in the Indian Ocean is investigated. We have found that the surface circulation east of Madagascar shows an anticyclonic subgyre bounded to the south by eastward flow from southwest Madagascar, and to the north by the westward flowing South Equatorial Current (SEC) between 15° and 20°S. The shallow, eastward flowing South Indian Ocean Countercurrent (SICC) extends above the deep reaching, westward flowing SEC to 95°E around the latitude of the high variability band. Applying a two-layer model reveals that regions of large vertical shear along the SICC-SEC system are baroclinically unstable. Estimates of the frequencies (3.5–6 times/year) and wavelengths (290–470 km) of the unstable modes are close to observations of the mesoscale variability derived from altimetry data. It is likely then that Rossby wave variability locally generated in the subtropical South Indian Ocean by baroclinic instability is the origin of the eddy variability around 25°S as seen, for example, in satellite altimetry.
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We propose and analyze a simple mathematical model for susceptible prey (S)–infected prey (I)–predator (P) interaction, where the susceptible prey population (S) is infected directly from external sources as well as through contact with infected class (I) and the predator completely avoids consuming the infected prey. The model is analyzed to obtain different thresholds of the key parameters under which the system exhibits stability around the biologically feasible equilibria. Through numerical simulations we display the effects of external infection and the infection through contact on the system dynamics in the absence as well as in the presence of the predator. We compare the system dynamics when infection occurs only through contact, with that when it occurs through contact and external sources. Our analysis demonstrates that under a disease-selective predation, stability and oscillations of the system is determined by two key parameters: the external infection rate and the force of infection through contact. Due to the introduction of external infection, the predator and the prey population show limit-cycle oscillations over a range parametric values. We suggest that while predicting the dynamics of such an eco-epidemiological system, the modes of infection and the infection rates might be carefully investigated.