980 resultados para stochastic load factor


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The paper presents a geometry-free approach to assess the variation of covariance matrices of undifferenced triple frequency GNSS measurements and its impact on positioning solutions. Four independent geometryfree/ ionosphere-free (GFIF) models formed from original triple-frequency code and phase signals allow for effective computation of variance-covariance matrices using real data. Variance Component Estimation (VCE) algorithms are implemented to obtain the covariance matrices for three pseudorange and three carrier-phase signals epoch-by-epoch. Covariance results from the triple frequency Beidou System (BDS) and GPS data sets demonstrate that the estimated standard deviation varies in consistence with the amplitude of actual GFIF error time series. The single point positioning (SPP) results from BDS ionosphere-free measurements at four MGEX stations demonstrate an improvement of up to about 50% in Up direction relative to the results based on a mean square statistics. Additionally, a more extensive SPP analysis at 95 global MGEX stations based on GPS ionosphere-free measurements shows an average improvement of about 10% relative to the traditional results. This finding provides a preliminary confirmation that adequate consideration of the variation of covariance leads to the improvement of GNSS state solutions.

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The systemic autoinflammatory disorders are a group of rare diseases characterized by periodically recurring episodes of acute inflammation and a rise in serum acute phase proteins, but with no signs of autoimmunity. At present eight hereditary syndromes are categorized as autoinflammatory, although the definition has also occasionally been extended to other inflammatory disorders, such as Crohn s disease. One of the autoinflammatory disorders is the autosomally dominantly inherited tumour necrosis factor receptor-associated periodic syndrome (TRAPS), which is caused by mutations in the gene encoding the tumour necrosis factor type 1 receptor (TNFRSF1A). In patients of Nordic descent, cases of TRAPS and of three other hereditary fevers, hyperimmunoglobulinemia D with periodic fever syndrome (HIDS), chronic infantile neurologic, cutaneous and articular syndrome (CINCA) and familial cold autoinflammatory syndrome (FCAS), have been reported, TRAPS being the most common of the four. Clinical characteristics of TRAPS are recurrent attacks of high spiking fever, associated with inflammation of serosal membranes and joints, myalgia, migratory rash and conjunctivitis or periorbital cellulitis. Systemic AA amyloidosis may occur as a sequel of the systemic inflammation. The aim of this study was to investigate the genetic background of hereditary periodically occurring fever syndromes in Finnish patients, to explore the reliability of determining serum concentrations of soluble TNFRSF1A and metalloproteinase-induced TNFRSF1A shedding as helpful tools in differential diagnostics, as well as to study intracellular NF-κB signalling in an attempt to widen the knowledge of the pathomechanisms underlying TRAPS. Genomic sequencing revealed two novel TNFRSF1A mutations, F112I and C73R, in two Finnish families. F112I was the first TNFRSF1A mutation to be reported in the third extracellular cysteine-rich domain of the gene and C73R was the third novel mutation to be reported in a Finnish family, with only one other TNFRSF1A mutation having been reported in the Nordic countries. We also presented a differential diagnostic problem in a TRAPS patient, emphasizing for the clinician the importance of differential diagnostic vigiliance in dealing with rare hereditary disorders. The underlying genetic disease of the patient both served as a misleading factor, which possibly postponed arrival at the correct diagnosis, but may also have predisposed to the pathologic condition, which led to a critical state of the patient. Using a method of flow cytometric analysis modified for the use on fresh whole blood, we studied intracellular signalling pathways in three Finnish TRAPS families with the F112I, C73R and the previously reported C88Y mutations. Evaluation of TNF-induced phosphorylation of NF-κB and p38, revealed low phosphorylation profiles in nine out of ten TRAPS patients in comparison to healthy control subjects. This study shows that TRAPS is a diagnostic possibility in patients of Nordic descent, with symptoms of periodically recurring fever and inflammation of the serosa and joints. In particular in the case of a family history of febrile episodes, the possibility of TRAPS should be considered, if an etiology of autoimmune or infectious nature is excluded. The discovery of three different mutations in a population as small as the Finnish, reinforces the notion that the extracellular domain of TNFRSF1A is prone to be mutated at the entire stretch of its cysteine-rich domains and not only at a limited number of sites, suggesting the absence of a founder effect in TRAPS. This study also demonstrates the challenges of clinical work in differentiating the symptoms of rare genetic disorders from those of other pathologic conditions and presents the possibility of an autoinflammatory disorder as being the underlying cause of severe clinical complications. Furthermore, functional studies of fresh blood leukocytes show that TRAPS is often associated with a low NF-κB and p38 phosphorylation profile, although low phosphorylation levels are not a requirement for the development of TRAPS. The aberrant signalling would suggest that the hyperinflammatory phenotype of TRAPS is the result of compensatory NF-κB-mediated regulatory mechanisms triggered by a deficiency of the innate immune response.

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Introduction: The pathogenesis of diabetic nephropathy remains a matter of debate, although strong evidence suggests that it results from the interaction between susceptibility genes and the diabetic milieu. The true pathogenetic mechanism remains unknown, but a common denominator of micro- and macrovascular complications may exist. Some have suggested that low-grade inflammation and activation of the innate immune system might play a synergistic role in the pathogenesis of diabetic nephropathy. Aims of the study: The present studies were undertaken to investigate whether low-grade inflammation, mannan-binding lectin (MBL) and α-defensin play a role, together with adiponectin, in patients with type 1 diabetes and diabetic nephropathy. Subjects and methods: This study is part of the ongoing Finnish Diabetic Nephropathy Study (FinnDiane). The first four cross-sectional substudies of this thesis comprised 194 patients with type 1 diabetes divided into three groups (normo-, micro-, and macroalbuminuria) according to their albumin excretion rate (AER). The fifth substudy aimed to determine whether baseline serum adiponectin plays a role in the development and progression of diabetic nephropathy. This follow-up study included 1330 patients with type 1 diabetes and a mean follow-up period of five years. The patients were divided into three groups depending on their AER at baseline. As a measure of low-grade inflammation, highly sensitive CRP (hsCRP) and α-defensin were measured with radio-immunoassay, and interleukin-6 (IL-6) with high- sensitivity enzyme immuno-assay. Mannan-binding lectin and adiponectin were determined with time-resolved immunofluorometric assays. The progression of albuminuria from one stage to the other served as a measure of the progression of diabetic nephropathy. Results: Low-grade inflammatory markers, MBL, adiponectin, and α-defensin were all associated with diabetic nephropathy, whereas MBL, adiponectin, and α-defensin per se were unassociated with low-grade inflammatory markers. AER was the only clinical variable independently associated with hsCRP. AER, HDL-cholesterol and the duration of diabetes were independently associated with IL-6. HbA1c was the only variable independently associated with MBL. The estimated glomerular filtration rate (eGFR), AER, and waist-to-hip ratio were independently associated with adiponectin. Systolic blood pressure, HDL-cholesterol, total cholesterol, age, and eGFR were all independently associated with α-defensin. In patients with macroalbuminuria, progression to end-stage renal disease (ESRD) was associated with higher baseline adiponectin concentrations. Discussion and conclusions: Low-grade inflammation, MBL, adiponectin, and defensin were all associated with diabetic nephropathy in these cross-sectional studies. In contrast however, MBL, adiponectin, and defensin were not associated with low-grade inflammatory markers per se. Nor was defensin associated with MBL, which may suggest that these different players function in a coordinated fashion during the deleterious process of diabetic nephropathy. The question of what causes low-grade inflammation in patients with type 1 diabetes and diabetic nephropathy, however, remains unanswered. We could observe in our study that glycemic control, an atherosclerotic lipid profile, and waist-to-hip ratio (WHR) were associated with low-grade inflammation in the univariate analysis, although in the multivariate analysis, only AER, HDL-cholesterol, and the duration of diabetes, as a measure of glycemic load, proved to be independently associated with inflammation. Notably, all these factors are modifiable with changes in lifestyle and/or with a targeted medication. In the follow-up study, elevated serum adiponectin levels at baseline predicted the progression from macroalbuminuria to ESRD independently of renal function at baseline. This observation does not preclude adiponectin as a favorable factor during the process of diabetic nephropathy, since the rise in serum adiponectin concentrations may remain a mechanism by which the body compensates for the demands created by the diabetic milieu.

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Premature delivery is a major cause of neonatal morbidity and mortality. The incidence of premature deliveries has increased around the world. In Finland 5.3%, or about 3,000 children per year are born prematurely, before 37 weeks of gestation. The corresponding figure in the United States is about 13%. The morbidity and mortality are highest among infants delivered before 32 weeks of gestation - about 600 children each year in Finland. Approximately 70% of premature deliveries are unexplained. Preterm delivery can be caused by an asympto-matic infection between uterus and the fetal membranes, such can begin already in early pregnancy. It is difficult to predict preterm delivery, and many patients are therefore unnecessarily admitted to hospital for observation and exposed to medical treatments. On the other hand, the high risk women should be identified early for the best treatment of the mother and preterm infant. --- In the prospective study conducted at the Department of Obstetric and Gynecology, Helsinki University Central Hospital two biochemical inflammation related markers were measured in the lower genital tract fluids of asymp-tomatic women in early and mid pregnancy in an order to see whether these markers could identify women with an increased risk of preterm delivery. These biomarkers were phosphorylated insulin-like growth factor binding protein-1 (phIGFBP-1) and matrix metalloproteinase-8 (MMP-8). The study involved 5180 asymptomatic pregnant women, examined during the first and second ultrasound screening visits. The study samples were taken from the vagina and cervicix. In addition, 246 symptomatic women were studied (pregnancy weeks 22 – 34). The study showed that increased phIGFBP-1 concentration in cervical canal fluid in early pregnancy increased the risk for preterm delivery. The risk for very premature birth (before 32 weeks of gestation) was nearly four-fold. Low MMP-8 concentration in mid pregnancy increased the risk of subsequent premature preterm rupture of fetal membranes (PPROM). Significantly high MMP-8 concentrations in the cervical fluid increased the risk for prema-ture delivery initiated by preterm labour with intact membranes. Among women with preterm contractions the shortened cervical length measured by ultrasound and elevated cervical fluid phIGFBP-1 both predicted premature delivery. In summary, because of the relatively low sensitivity of cervical fluid phIGFBP-1 this biomarker is not suitable for routine screening, but provides an additional tool in assessing the risk of preterm delivery. Cervical fluid MMP-8 is not useful in early or mid pregnancy in predicting premature delivery because of its dual role. Further studies on the role of MMP-8 are therefore needed. Our study confirms that phIGFBP-1 testing is useful in predicting pre-term delivery.

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The aim of this study was twofold- Firstly, to determine the composition of the type IV collagen which are the major components of the basement membrane (BM), in the synovial lining of the rheumatoid arthritis (RA) patient and in the BM in the labial salivary gland of the Sjögrens syndrome (SS) patient. Secondly, this thesis aimed to investigate the role of the BM component laminin α4 and laminin α5 in the migration of neutrophils from the blood vessels thorough the synovial lining layer into synovial fluid and the presence of vWF in the microvasculature of labial salivary gland in SS. Our studies showed that certain α chains type IV collagen are low in RA compared to control synovial linings, while laminin α5 exhibited a pattern of low expression regions at the synovial lining interface towards the joint cavity and fluid. Also, high numbers of macrophage-like lining cells containing MMP-9 were found in the lining. MMP-9 was also found in the synovial fluid. Collagen α1/2 (IV) mRNA was found to be present in high amount compared to the other α(IV) chains and also showed intense labelling in immunohistochemical staining in normal and SS patients. In healthy glands α5(IV) and α6(IV) chains were found to be continuous around ducts but discontinuous around acini. The α5(IV) and α6(IV) mRNAs were present in LSG explants and HSG cell line, while in SS these chains seemed to be absent or appear only in patches around the ductal BM and tended to be absent around acini in immunohistochemical staining, indicating that their synthesis and/or degradation seemed to be locally regulated around acinar cells. The provisional matrix component vWF serves as a marker of vascular damage. Microvasculature in SS showed signs of focal damage which in turn might impair arteriolar feeding, capillary transudation and venular drainage of blood. However, capillary density was not decreased but rather increased, perhaps as a result of angiogenesis compensatory to microvascular damage. Microvascular involvement of LSG may contribute to the pathogenesis of this syndrome. This twofold approach allows us to understand the intricate relation between the ECM components and the immunopathological changes that occur during the pathogenesis of these inflammatory rheumatic disease processes. Also notably this study highlights the importance of maintaining a healthy ECM to prevent the progression or possibly allow reversal of the disease to a considerable level. Furthermore, it can be speculated that a healthy BM could quarantine the inflamed region or in case of cancer cells barricade the movement of malignant cells thereby preventing further spread to the surrounding areas. This understanding can be further applied to design appropriate drugs which act specifically to maintain a proper BM/BM like intercellular matrix composition.

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Fractional-order derivatives appear in various engineering applications including models for viscoelastic damping. Damping behavior of materials, if modeled using linear, constant coefficient differential equations, cannot include the long memory that fractional-order derivatives require. However, sufficiently great rnicrostructural disorder can lead, statistically, to macroscopic behavior well approximated by fractional order derivatives. The idea has appeared in the physics literature, but may interest an engineering audience. This idea in turn leads to an infinite-dimensional system without memory; a routine Galerkin projection on that infinite-dimensional system leads to a finite dimensional system of ordinary differential equations (ODEs) (integer order) that matches the fractional-order behavior over user-specifiable, but finite, frequency ranges. For extreme frequencies (small or large), the approximation is poor. This is unavoidable, and users interested in such extremes or in the fundamental aspects of true fractional derivatives must take note of it. However, mismatch in extreme frequencies outside the range of interest for a particular model of a real material may have little engineering impact.

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The intervertebral disc is composed of concentrically arranged components: annulus fibrosus, the transition zone, and central nucleus pulposus. The major disc cell type differs in various parts of the intervertebral disc. In annulus fibrosus a spindle shaped fibroblast-like cell mainly dominates, whereas in central nucleus pulposus the more rounded chondrocyte-like disc cell is the major cell type. At birth the intervertebral disc is well vascularized, but during childhood and adolescence blood vessels become smaller and less numerous. The adult intervertebral disc is avascular and is nourished via the cartilage endplates. On the other hand, degenerated and prolapsed intervertebral discs are again vascularized, and show many changes compared to normal discs, including: nerve ingrowth, change in collagen turnover, and change in water content. Furthermore, the prolapsed intervertebral disc tissue has a tendency to decrease in size over time. Growth factors are polypeptides which regulate cell growth, extracellular matrix protease activity, and vascularization. Oncoproteins c-Fos and c-Jun heterodimerize, forming the AP-1 transcription factor which is expressed in activated cells. In this thesis the differences of growth factor expression in normal intervertebral disc, the degenerated intervertebral disc and herniated intervertebral disc were analyzed. Growth factors of particular interest were basic fibroblast growth factor (bFGF or FGF-2), platelet-derived growth factor (PDGF), vascular endothelial growth factor (VEGF), and transforming growth factor beta (TGFβ). Cell activation was visualized by the expression of the AP-1 transcription promoters c-Fos and c-Jun. The expression was shown with either mono- or polyclonal antibodies by indirect avidin-biotin-peroxidase immunohistochemical staining method. The normal control material was collected from a tissue bank of five organ donors. The degenerated disc material was from twelve patients operated on for painful degenerative disc disease, and herniated disc tissue material was obtained from 115 patients operated on for sciatica. Normal control discs showed only TGFβ immunopositivity. All other factors studied were immunonegative in the control material. Prolapsed disc material was immunopositive for all factors studied, and this positivity was located either in the disc cells or in blood vessels. Furthermore, neovascularization was noted. Disc cell immunoreaction was shown in chondrocyte-like disc cells or in fibroblast-like disc cells, the former being expressed especially in conglomerates (clusters of disc cells). TGFβ receptor induction was prominent in prolapsed intervertebral disc tissue. In degenerated disc material, the expression of growth factors was analyzed in greater detail in various parts of the disc: nucleus pulposus, anterior annulus fibrosus and posterior annulus fibrosus. PDGF did not show any immunoreactivity, whereas all other studied growth factors were localized either in chondrocyte-like disc cells, often forming clusters, in fibroblast-like disc cells, or in small capillaries. Many of the studied degenerated discs showed tears in the posterior region of annulus fibrosus, but expression of immunopositive growth factors was detected throughout the entire disc. Furthermore, there was a difference in immunopositive cell types for different growth factors. The main conclusion of the thesis, supported by all substudies, is the occurrence of growth factors in disc cells. They may be actively participating in a network regulating disc cell growth, proliferation, extracellular matrix turnover, and neovascularization. Chondrocyte-like disc cells, in particular, expressed growth factors and oncoproteins, highlighting the importance of this cell type in the basic pathophysiologic events involved in disc degeneration and disc rearrangement. The thesis proposes a hypothesis for cellular remodelling in intervertebral disc tissue. In summary, the model presents an activation pattern of different growth factors at different intervertebral disc stages, mechanisms leading to neovascularization of the intervertebral disc in pathological conditions, and alteration of disc cell shape, especially in annulus fibrosus. Chondrocyte-like disc cells become more numerous, and these cells are capable of forming clusters, which appear to be regionally active within the disc. The alteration of the phenotype of disc cells expressing growth factors from fibroblast-like disc cells to chondrocyte-like cells in annulus fibrosus, and the numerous expression of growth factor expressing disc cells in nucleus pulposus, may be a key element both during pathological degeneration of the intervertebral disc, and during the healing process after trauma.

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The study assessed whether plasma concentrations of complement factors C3, C4, or immunoglobulins, serum classical pathway hemolytyic activity, or polymorphisms in the class I and II HLA genes, isotypes and gene numbers of C4, or allotypes of IgG1 and IgG3 heavy chain genes were associated with severe frequently recurring or chronic mucosal infections. According to strict clinical criteria, 188 consecutive voluntary patients without a known immunodeficiency and 198 control subjects were recruited. Frequencies of low levels in IgG1, IgG2, IgG3 and IgG4 were for the first time tested from adult general population and patients with acute rhinosinusitis. Frequently recurring intraoral herpes simplex type 1 infections, a rare form of the disease, was associated with homozygosity in HLA -A*, -B*, -C*, and -DR* genes. Frequently recurrent genital HSV-2 infections were associated with low levels of IgG1 and IgG3, present in 54% of the recruited patients. This association was partly allotype-dependent. The G3mg,G1ma/ax haplotype, together with low IgG3, was more common in patients than in control subjects who lacked antibodies against herpes simplex viruses. This is the first found immunogenetic deficiency in otherwise healthy adults that predisposes to highly frequent mucosal herpes recurrences. According to previous studies, HSV effectively evades the allotype G1ma/ax of IgG1, whereas G3mg is associated with low IgG3. Certain HLA genes were more common in patients than in control subjects. Having more than one C4A or C4B gene was associated with neuralgias caused by the virus. Low levels of IgA, IgG1, IgG2, IgG3, and IgG4 were common in the general adult population, but even more frequent in patients with chronic sinusitis. Only low IgG1 was more common chronic than in acute rhinosinusitis. Clinically, nasal polyposis and bronchial asthma were associated with complicated disease forms. The best differentiating immunologic parameters were C4A deficiency and the combination of low plasma IgG4 together with low IgG1 or IgG2, performing almost equally. The lack of C4A, IgA, and IgG4, all known to possess anti-inflammatory activity, together with a concurrently impaired immunity caused by low subclass levels, may predispose to chronic disease forms. In severe chronic adult periodontitis, any C4A or C4B deficiency combined was associated with the disease. The new quantitative analysis of C4 genes and the conventional C4 allotyping method complemented each other. Lowered levels of plasma C3 or C4 or both, and serum CH50 were found in herpes and periodontitis patients. In rhinosinusitis, there was a linear trend with the highest levels found in the order: acute > chronic rhinosinusitis > general population > blood donors with no self-reported history of rhinosinusitis. Complement is involved in the defense against the tested mucosal infections. Seemingly immunocompetent patients with chronic or recurrent mucosal infections frequently have subtle weaknesses in different arms of immunity. Their susceptibility to chronic disease forms may be caused by these. Host s subtly impaired immunity often coincides with effective immune evasion from the same arms of immunity by the disease-causing pathogens. The interpretation of low subclass levels, if no additional predisposing immunologic factors are tested, is difficult and of limited value in early diagnosis and treatment.

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Congenital nephrotic syndrome of the Finnish type (NPHS1) is an autosomal recessive disease which is highly enriched in the Finnish population. It is caused by mutations in the NPHS1 gene encoding for nephrin, which is a major component of the glomerular filtration barrier in the kidney. Patients with NPHS1 have heavy proteinuria and nephrotic syndrome (NS) from birth and develop renal fibrosis in early childhood. Renal transplantation (TX) is the only curative treatment for NPHS1. These patients form the largest group of pediatric kidney transplant children in our country. The NPHS1 kidneys are removed in infancy and they serve as an excellent human material for studies of the pathophysiology of proteinuric kidney diseases. Sustained proteinuria is a major factor leading to end-stage renal failure and understanding this process is crucial for nephrology. In this study we investigated the glomerular and tubulointerstitial changes that occur in the NPHS1 kidneys during infancy as well as the expression of nephrin in non-renal tissues. We also studied the pathology and management of recurrent proteinuria in kidney grafts transplanted to NPHS1 children. Severe renal lesions evolved in patients with NPHS1 during the first months of life. Glomerular sclerosis developed through progressive mesangial sclerosis, and capillary obliteration was an early consequence of this process. Shrinkage of the glomerular tuft was common, whereas occlusion of tubular opening or protrusion of the glomerular tuft into subepithelial space or through the Bowman's capsule were not detected. Few inflammatory cells were detected in the mesangial area. The glomerular epithelial cells (podocytes) showed severe ultrastructural changes and hypertrophy. Podocyte proliferation and apoptosis were rare, but moderate amounts of podocytes were detached and ended up in the urine. The results showed that endocapillary lesions not extracapillary lesions, as generally believed were important for the sclerotic process in the NPHS1 glomeruli. In the tubulointerstitium, severe lesions developed in NPHS1 kidneys during infancy. Despite heavy proteinuria, tubular epithelial cells (TECs) did not show transition into myofibroblasts. The most abundant chemokines in NPHS1 tissue were neutrophil activating protein-2 (NAP-2), macrophage inhibiting factor (MIF), and monocyte chemoattractant protein-1 (MCP-1). Interstitial inflammation and fibrosis were first detected in the paraglomerular areas and the most abundant inflammatory cells were monocytes/macrophages. Arteries and arterioles showed intimal hypertrophy, but the pericapillary microvasculature remained quite normal. However, excessive oxidative stress was evident in NPHS1 kidneys. The results indicated that TECs were relatively resistant to the heavy tubular protein load. Nephrin was at first thought to be podocyte specific, but some studies especially in experimental animals have suggested that nephrin might also be expressed in non-renal tissues such as pancreas and central nervous system. The knowledge of nephrin biology is important for the evaluation of nephrin related diseases. In our study, no significant amounts of nephrin protein or mRNA were detected in non-renal tissues of man and pig as studied by immunohistochemistry and in situ hybridization. The phenotype analysis of NPHS1 children, who totally lack nephrin, revealed no marked impairment in the neurological, testicular, or pancreatic function speaking against the idea that nephrin would play an important functional role outside the kidney. The NPHS1 kidneys do not express nephrin and antibodies against this major glomerular filter protein have been observed in NPHS1 children after renal TX most likely as an immune reaction against a novel antigen. These antibodies have been associated with the development of recurrent NS in the kidney graft of NPHS1 patients. In our study, a third of the NPHS1 patients homozygous for Fin-Major mutation developed recurrent NS in the transplanted graft. Re-transplantations were performed to patients who lost their graft due to recurrent NS and heavy proteinuria immediately developed in all cases. While 73% of the patients had detectable serum anti-nephrin antibodies, the kidney biopsy findings were minimal. Introduction of plasma exchange (PE) to the treatment of recurrent nephroses increased the remission rate from 54% to 89%. If remission was achieved, recurrent NS did not significantly deteriorate the long term graft function. In conclusion, the results show that the lack of nephrin in podocyte slit diaphragm in NPHS1 kidneys induces progressive mesangial expansion and glomerular capillary obliteration and inflicts interstitial fibrosis, inflammation, and oxidative stress with surprisingly little involvement of the TECs in this process. Nephrin appears to have no clinical significance outside the kidney. Development of antibodies against nephrin seems to be a major cause of recurrent NS in kidney grafts of NPHS1 patients and combined use of PE and cyclophosphamide markedly improved remission rates.

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Randomness in the source condition other than the heterogeneity in the system parameters can also be a major source of uncertainty in the concentration field. Hence, a more general form of the problem formulation is necessary to consider randomness in both source condition and system parameters. When the source varies with time, the unsteady problem, can be solved using the unit response function. In the case of random system parameters, the response function becomes a random function and depends on the randomness in the system parameters. In the present study, the source is modelled as a random discrete process with either a fixed interval or a random interval (the Poisson process). In this study, an attempt is made to assess the relative effects of various types of source uncertainties on the probabilistic behaviour of the concentration in a porous medium while the system parameters are also modelled as random fields. Analytical expressions of mean and covariance of concentration due to random discrete source are derived in terms of mean and covariance of unit response function. The probabilistic behaviour of the random response function is obtained by using a perturbation-based stochastic finite element method (SFEM), which performs well for mild heterogeneity. The proposed method is applied for analysing both the 1-D as well as the 3-D solute transport problems. The results obtained with SFEM are compared with the Monte Carlo simulation for 1-D problems.

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We propose several stochastic approximation implementations for related algorithms in flow-control of communication networks. First, a discrete-time implementation of Kelly's primal flow-control algorithm is proposed. Convergence with probability 1 is shown, even in the presence of communication delays and stochastic effects seen in link congestion indications. This ensues from an analysis of the flow-control algorithm using the asynchronous stochastic approximation (ASA) framework. Two relevant enhancements are then pursued: a) an implementation of the primal algorithm using second-order information, and b) an implementation where edge-routers rectify misbehaving flows. Next, discretetime implementations of Kelly's dual algorithm and primaldual algorithm are proposed. Simulation results a) verifying the proposed algorithms and, b) comparing the stability properties are presented.

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Electricity generation is vital in developed countries to power the many mechanical and electrical devices that people require. Unfortunately electricity generation is costly. Though electricity can be generated it cannot be stored efficiently. Electricity generation is also difficult to manage because exact demand is unknown from one instant to the next. A number of services are required to manage fluctuations in electricity demand, and to protect the system when frequency falls too low. A current approach is called automatic under frequency load shedding (AUFLS). This article proposes new methods for optimising AUFLS in New Zealand’s power system. The core ideas were developed during the 2015 Maths and Industry Study Group (MISG) in Brisbane, Australia. The problem has been motivated by Transpower Limited, a company that manages New Zealand’s power system and transports bulk electricity from where it is generated to where it is needed. The approaches developed in this article can be used in electrical power systems anywhere in the world.