We study the geometric and topological properties of strange non-chaotic attractors created in non-smooth saddle-node bifurcations of quasiperiodically forced interval maps. By interpreting the attractors as limit objects of the iterates of a continuous curve and controlling the geometry of the latter, we determine their Hausdorff and box-counting dimension and show that these take distinct values. Moreover, the same approach allows us to describe the topological structure of the attractors and to prove their minimality.

The master’s thesis deals with the computational modelling of the mechanical testing of isolated smooth muscle cells. The main aims are to create computational model of a cell, to simulate single-axis tensile test and to modify the model so that the model reflects real mechanical response. The model of the cell includes cytoplasm, nucleus, cell membrane and cytoskeleton which is modelled as a tensegrite structure. On this model the tensile test was simulated in case of the cell with cytoskeleton and the cell with distributed the cytoskeleton. Force-elongation curves, which were obtained from this simulation, were compared with experimental data which were taken from literature. Tensile properties were measured on freshly isolated cells from rat thoracic aorta, cultured cells, and cells treated with cytochalasin D to disrupt their actin filaments. It was found that the cytoskeleton influence on the cell load in computational model was smaller than in the real cell. Therefore the model was modified by changing material propreties and geometry so that the model of the cell corresponded with the different types of experimentally measured cells.

MSc (Statistics) / Department of Statistics / Over the years researchers have been modeling inflation rate in Ghana using linear models such as Autoregressive Integrated Moving Average (ARIMA), Autoregressive Moving Average (ARMA) and Moving Average (MA). Empirical research however, has shown that financial data, such as inflation rate, does not follow linear patterns. This study seeks to model and forecast inflation in Ghana using nonlinear models and to establish the existence of nonlinear patterns in the monthly rates of inflation between the period January 1981 to August 2016 as obtained from Ghana Statistical Service. Nonlinearity tests were conducted using Keenan and Tsay tests, and based on the results, we rejected the null hypothesis of linearity of monthly rates of inflation. The Augmented Dickey-Fuller (ADF) was performed to test for the presence of stationarity. The test rejected the null Hypothesis of unit root at 5% significant level, and hence we can conclude that the rate of inflation was stationary over the period under consideration. The data were transformed by taking the logarithms to follow nornal distribution, which is a desirable characteristic feature in most time series. Monthly rates of inflation were modeled using threshold models and their fitness and forecasting performance were compared with Autoregressive (AR ) models. Two Threshold models: Self-Exciting Threshold Autoregressive (SETAR) and Logistic Smooth Threshold Autoregressive (LSTAR) models, and two linear models: AR(1) and AR(2), were employed and fitted to the data. The Akaike Information Criterion (AIC) and the Bayesian Information Criterion (BIC) were used to assess each of the fitted models such that the model with the minimum value of AIC and BIC, was judged the best model. Additionally, the fitted models were compared according to their forecasting performance using a criterion called mean absolute percentage error (MAPE). The model with the minimum MAPE emerged as the best forecast model and then the model was used to forecast monthly inflation rates for the year 2017. The rationale for choosing this type of model is contingent on the behaviour of the time-series data. Also with the history of inflation modeling and forecasting, nonlinear models have proven to perform better than linear models. The study found that the SETAR and LSTAR models fit the data best. The simple AR models however, out-performed the nonlinear models in terms of forecasting. Lastly, looking at the upward trend of the out-sample forecasts, it can be predicted that Ghana would experience double digit inflation in 2017. This would have several impacts on many aspects of the economy and could erode the economic gains i made in the year 2016. Our study has important policy implications for the Central Bank of Ghana which can use the data to put in place coherent monetary and fiscal policies that would put the anticipated increase in inflation under control.

AIMS: Macrophages (MPs) and vascular smooth muscle cells (VSMCs) closely interact within the growing atherosclerotic plaque. An in vitro co-culture model was established to study how MPs modulate VSMC behaviour. METHODS AND RESULTS: MPs were exposed to fluorescence-labelled-acetylated LDL (FL-acLDL) prior to co-culture with VSMCs. Fluorescence microscopy visualized first transport of FL-acLDL within 6 h after co-culture implementation. When MPs had been fed with FL-acLDL in complex with fluorescence-labelled cholesterol (FL-Chol), these complexes were also transferred during co-culture and resulted in cholesterol positive lipid droplet formation in VSMCs. When infected with a virus coding for a fusion protein of Rab5a and fluorescent protein reporter (FP) to mark early endosomes, no co-localization between Rab5a-FP and the transported FL-acLDL within VSMCs was detected implying a mechanism independent of phagocytosis. Next, expression of lysosome-associated membrane glycoprotein 1 (LAMP1)-FP, marking all lysosomes in VSMCs, revealed that the FL-acLDL was located in non-acidic lysosomes. MPs infected with virus encoding for LAMP1-FP prior to co-culture demonstrated that intact fluorescence-marked lysosomes were transported into the VSMC, instead. Xenogenic cell composition (rat VSMC, human MP) and subsequent quantitative RT-PCR with rat-specific primers rendered induction of genes typical for MPs and down-regulation of the cholesterol sensitive HMG-CoA reductase. CONCLUSION: Our results demonstrate that acLDL/cholesterol-loaded lysosomes are transported from MPs into VSMCs in vitro. Lysosomal transfer results in a phenotypic alteration of the VSMC towards a foam cell-like cell. This way VSMCs may lose their plaque stabilizing properties and rather contribute to plaque destabilization and rupture.

Aims: To study the β-adrenoceptor subtypes involved in the relaxation responses to (-)-isoprenaline in carbachol-pre-contracted (CCh) mouse detrusor muscle with intact and denuded mucosa. Methods: Isolated muscle strips from the urinary bladder of male C57BL6 mice or β2-adrenoceptor knockout mice were pre-contracted with CCh, 1 µM and relaxed with increasing concentrations of the β-adrenoceptor (β-AR) agonist (-)-isoprenaline and forskolin. For estimating the β-AR subtypes involved, subtype-selective receptor blockers were used, that is, CGP 20712A (β1-ARs), ICI 118,551 (β2-ARs), and L748,337 (β3-ARs). Results: Unlike in KCl-pre-contracted muscle, the mucosa did not affect the sensitivity of the relaxation response to (-)-isoprenaline in CCh-pre-contracted murine detrusor strips. Increasing concentrations of (-)-isoprenaline produced a biphasic concentration-relaxation response without any difference both during the presence and absence of mucosa. The relaxation fraction produced by low (-)-isoprenaline concentrations was mediated by β2-AR as evidenced by a shift of the concentration-response curve to higher concentrations with ICI 118,551, but not with CGP 20712A and L748,337, and by the absence of this fraction in β2-AR-KO mice. The relaxation response with low sensitivity to (-)-isoprenaline was not affected by any of the β-AR subtype-selective blockers and was the only response detected in detrusor strips from β2-AR-KO mice. Conclusions: In CCh-pre-contracted mouse detrusor, β2-ARs are responsible for the relaxation component with high sensitivity to (-)-isoprenaline as indicated by the conversion of a biphasic into a monophasic CRC with ICI 118,551 or by its absence in β2-AR KO mice. The mucosa does not impair relaxation under these conditions. / Dieser Beitrag ist mit Zustimmung des Rechteinhabers aufgrund einer (DFG-geförderten) Allianz- bzw. Nationallizenz frei zugänglich.

Une augmentation de la concentration de l’angiotensine II (Ang II) contribue à la prolifération, la migration et l’hypertrophie des cellules musculaires lisses vasculaires (CMLVs) par l’activation des voies des mitogen-activated protein kinases (MAPK) et de la phosphoinositide 3-kinase (PI3K)/protéine kinase B (PKB/Akt). L’Ang II induit l’activation du facteur de transcription early growth response protein-1 (Egr-1) et sa suractivation est remarquée dans les lésions athérosclérotiques et les modèles animaux de lésions vasculaires. La régulation des facteurs de transcription est effectuée par des histones désacétylases (HDACs) qui désacétylent les lysines des histones et protéines non-histones. L’Ang II induit la phosphorylation et l’export nucléaire de la classe IIa des HDACs, particulièrement les HDAC5, et une augmentation de celles-ci est observée dans les maladies vasculaires. L’Ang II est un puissant activateur des voies des MAPK et de la PI3K/Akt, toutefois l’implication de ces voies dans la phosphorylation des HDAC5 et l’expression de l’Egr-1 dans les CMLVs reste inexplorée. Dans cette étude, l’Ang II a induit la phosphorylation des HDAC5 sur la sérine 498 dans les A10 CMLVs. Un blocage pharmacologique de l’extracellular signal-regulated kinase 1/2 (ERK1/2) par U0126 n’a montré aucun effet significatif sur la phosphorylation et l’exclusion nucléaire des HDAC5 induite par l’Ang II. Par contre, l’inhibition de la voie PI3K par wortmannin, de l’Akt par SC66 ou le knockdown de l’Akt par des petits ARN interférents (siRNA) a atténué la phosphorylation et l’export nucléaire des HDAC5 induits par l’Ang II. Par ailleurs, l’inhibition de l’Akt ou le knockdown de cette kinase a diminué l’expression de l’Egr-1 induite dans les CMLVs stimulées par l’Ang II. L’inhibition des HDACs de la classe IIa par MC1568 ou TMP-195 ou bien le knockdown des HDAC5 a diminué l’expression de l’Egr-1 induite par l’Ang II. De plus, le blocage de l’export nucléaire des HDAC5 par la leptomycine B ou la KPT-330 a empêché la localisation cytoplasmique des HDAC5 et a atténué l’expression de l’Egr-1 en réponse à une stimulation de l’Ang II. L’hypertrophie vasculaire induite par l’Ang II a pu être inhibée par la suppression de l’HDAC5 et l’Egr-1. En conclusion, l’Ang II induit la phosphorylation et l’exclusion nucléaire des HDAC5 par la voie PI3K/Akt et non celle de ERK1/2; de plus, l’Ang II induit l’expression de l’Egr-1 à l’aide des HDAC5 via la voie Akt contribuant ainsi à l’hypertrophie des CMLVs. / Elevated concentration of angiotensin II (Ang II) contributes to vascular smooth muscle cells (VSMCs) proliferation, migration and hypertrophy by the activation of the mitogen-activated protein kinases (MAPK) and phosphoinositide 3-kinase (PI3K)/protein kinase B (PKB/Akt) pathways. Ang II induced the expression of early growth response protein-1 (Egr-1), which is a transcription factor that is upregulated in atherosclerosis lesions and in animal models of vascular injuries. The activation or derepression of gene transcription is mediated by histone deacetylases (HDACs), which deacetylate lysine residues from histone and non-histones proteins. Ang II-induced the phosphorylation and nuclear export of class IIa HDACs, notably HDAC5, and its elevated activation is observed in vascular pathologies. Ang II is a potent activator of the MAPK and PI3K/Akt pathways, however their implication in the phosphorylation of HDAC5 and Egr-1 expression in VSMCs remain unexplored. In this study, Ang II-induced HDAC5 phosphorylation at serine 498 in A10 VSMCs and pharmacological blockade of the extracellular signal-regulated kinase 1/2 (ERK1/2) by U0126 did not affect the phosphorylation and nuclear exclusion of HDAC5 in response to Ang II. Whereas, pharmacological inhibition of the PI3K by wortmannin, Akt by SC66 or small interfering RNA (siRNA)-induced silencing of Akt attenuated Ang II-induced HDAC5 phosphorylation and its nuclear export. Furthermore, inhibition or knockdown of Akt suppressed Ang II-induced Egr-1 expression. In addition, the inhibition of class IIa HDAC5 by MC1568, TMP-195 or HDAC5 knockdown by siRNA reduced Ang II-induced Egr-1 expression. The blockade of the nuclear export of HDAC5 by leptomycin B or KPT-330 prevented the cytoplasmic localization of HDAC5 and attenuated the expression of Egr-1 by Ang II in VSMCs. Moreover, HDAC5 or Egr-1 depletion prevented Ang II-induced cell hypertrophy. In summary, Ang II-induced HDAC5 phosphorylation and its nuclear export is mediated by the PI3K/Akt and not the ERK1/2 pathway, in addition, Ang II-induced Egr-1 expression involves the implication of HDAC5 via the Akt pathway which subsequently leads to VSMC hypertrophy.

Dans le contexte pathologique de l’athérosclérose, les cellules du muscle lisse vasculaire (CMLV) sont caractérisées par une prolifération et une migration accrue. La stimulation à l’Angiotensine II (Ang II) ou au facteur de croissance dérivé des plaquettes (PDGF) a tendance à promouvoir cette migration anormale. Cependant, ce phénomène seul n’est pas suffisant pour que les CMLV puissent migrer à travers le tissu environnant et envahir l’intima des vaisseaux sanguins. Les CMLV doivent alors dégrader la matrice extracellulaire et développer des structures nécessaires à l’invasion. Ce mouvement cellulaire est à l’origine d’une augmentation de la plaque athéromateuse responsable de nombreuses complications. Des données préliminaires ont montré que des facteurs de croissance ou hormones pouvaient induire l’invasion des CMLV. Dans notre laboratoire, il a été montré que les facteurs d’ADP-ribosylation (ARF) permettent la régulation du remodelage phénotypique des CMLV, et jouent un rôle dans la prolifération et la migration cellulaire. Au cours de cette étude, nous allons donc examiner le rôle de ARF6 dans la formation de structures importantes pour l’invasion et l’activation de métalloprotéinases de la matrice dans les CMLV humaines. En premier lieu, nous avons défini que la stimulation avec du PDGF ou de l’Ang II permet l’activation de la GTPase ARF6. En second lieu, nous avons mis en avant l’impact de la déplétion de ARF6 sur l’invasion cellulaire induite à la suite d’une stimulation avec le PDGF ou l’Ang II. Pour y parvenir, nous avons utilisé deux méthodes d’analyse de l’invasion, tout d’abord de la microscopie sur support gélatineux qui permet d’observer la dégradation de la matrice, ensuite des essais d’invasion sur du Matrigel dans des chambres de Boyden. Pour finir, nous avons voulu définir le mécanisme impliqué dans ce phénomène d’invasion cellulaire chez les CMLV humaines. En somme nous avons montré, l’importance d’ARF6 dans l’invasion induite par des facteurs de croissance ou hormone. Et nous avons soumis l’hypothèse que ce mécanisme passe par l’activation de la voie des MAPK ou PI3K. L’élucidation de ces mécanismes cellulaires pourrait avoir un intérêt quant à l’élaboration de nouvelles stratégies thérapeutiques pour le traitement de l’athérosclérose. / In the pathological setting of atherosclerosis, vascular smooth muscle cells are characterized by an increased proliferation and migration. Stimulation of these cells with Angiotensin II (Ang II) or platelet-derived growth factor (PDGF) usually promotes this abnormal migration. However, this phenotype alone is not sufficient for VSMCs to migrate through surrounding tissues and infiltrate the blood vessels’ intima. VSMCs must also be able to degrade extracellular matrix components and acquire the cellular structures necessary for invasion. The migration of VSMCs to the intima is responsible for the growth of the atherosclerotic plaque which leads to numerous complications. Preliminary data has shown that growth factors and hormones can cause the invasive phenotype of VSMCs. Our group has demonstrated that the ADP-ribosylation factor (ARF) could regulate the phenotypic remodeling of VSMCs and, by extension, their proliferative and migrative capacities. During this study, we will examine the importance of ARF6 in the formation of important invasive cellular structures as well as matrix metalloproteinases activation in human VSMCs. First, we have discovered and defined the connection between agonist stimulation and the activation of the small GTPase ARF6. We have also studied the impact of ARF6 depletion on cellular invasion following PDGF or Ang II stimulation. We have accomplished this using two methods commonly employed to analyze cellular invasion: Gelatine-based matrix degradation assays analyzed by microscopy and invasion assays on Matrigel in Boyden chambers. Lastly, we have tried to uncover the mechanistic behind this invasive phenotype observed in human VSMCs. To summarize, we have demonstrated the importance of ARF6 in growth factors and hormone-induced cellular invasion and we have hypothesized that this activity is mediated by the activation of the MAPK or PI3K signaling pathways. The further characterization of these cellular mechanisms could lead to the discovery of novel therapeutic strategies in atherosclerosis.

1. The effect of urotensin II (U-II) on spontaneous transmitter release was examined in the frog to see if the biological activity of this vasoactive peptide extended to neural tissues. 2. In normal Ringer solution, frog and human U-II (fU-II and hU-II, respectively) caused concentration-dependent, reversible increases in miniature endplate potential (MEPP) frequency, with hU-II about 22 times more potent than fU-II. hU-II caused a dose-dependent increase in MEPP amplitude, whereas fU-II caused an increase, followed by a decrease with higher concentrations. 3. Increasing extracellular Ca 2+ three-fold had no effect on the MEPP frequency increase to 25 μM hU-II. Pretreatment with thapsigargin to deplete endoplasmic reticulum Ca 2+ caused a 61% reduction in the MEPP frequency increase to 25 μM hU-II. 4. Pretreatment with the phospholipase C inhibitor U-73122 caused a 93% reduction in the MEPP frequency increase to 25 μM hU-II and a 15% reduction in the increase in MEPP amplitude. Pretreating with antibodies against the inositol 1,4,5-trisphosphate (IP 3) type 1 receptor using liposomal techniques reduced the MEPP frequency increase by 83% but had no effect on MEPP amplitude. 5. Pretreating with protein kinase C inhibitors (bisindolylmaleimide I and III) had no effect on the response to 25 μM hU-II, but pretreating with protein kinase A inhibitors (H-89 and KT5720) reduced the MEPP frequency increase by 88% and completely abolished the increase in MEPP amplitude. 6. Our results show that hU-II is a potent stimulator of spontaneous transmitter release in the frog and that the effect is mediated by IP 3 and cyclic AMP/protein kinase A.

The paradigm shift in cardiovascular biology has been the understanding that atherosclerosis involves not just a mechanical deposition of lipids in the vessel wall, but a dynamic process involving the inflammatory response with cellular infiltration and inflammatory mediator expression. Typical cellular elements that have been studied include endothelial cells, vascular smooth muscle, T lymphocyte and the macrophage. Recent data suggests a role for the human mast cell. The human mast cell is a tissuedwelling cell, typically perivascular in distribution. This multifunctional cell responds rapidly to challenge with the release of inflammatory mediators that can orchestrate an immune response and may have relevance to atherogenesis. Mast cells have been shown to modulate various aspects of cardiovascular disease such as atherogenesis (endothelial activation, cytokine generation and foam cell formation) as well as rupture of an unstable atheromatous plaque. Mast cell activation in the context of cardiovascular disease may occurby cognate cell-cell interactions (interactions with macrophages, T cells, endothelial cells or smooth muscle) or by non-cognate means (such as lipoproteins and other proatherogenic components). More studies are required in order to better understand the molecular role of mast cells in vascular inflammatory disease.

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