On a new iterative method for solving linear systems and comparison results

AbstractIn Ujević [A new iterative method for solving linear systems, Appl. Math. Comput. 179 (2006) 725–730], the author obtained a new iterative method for solving linear systems, which can be considered as a modification of the Gauss–Seidel method. In this paper, we show that this is a special case from a point of view of projection techniques. And a different approach is established, which is both theoretically and numerically proven to be better than (at least the same as) Ujević's. As the presented numerical examples show, in most cases, the convergence rate is more than one and a half that of Ujević

anti-tick vaccines to prevent tick-borne diseases in Europe

Ixodes ricinus transmits bacterial, protozoal and viral pathogens, causing disease and forming an increasing health concern in Europe. ANTIDotE is an European Commission funded consortium of seven institutes, which aims to identify and characterize tick proteins involved in feeding and pathogen transmission. The knowledge gained will be used to develop and evaluate anti- tick vaccines that may prevent multiple human tick-borne diseases. Strategies encompassing anti-tick vaccines to prevent transmission of pathogens to humans, animals or wildlife will be developed with relevant stakeholders with the ultimate aim of reducing the incidence of tick-borne diseases in humans

Endoglin Haplo-Insufficiency Modifies the Inflammatory Response in Irradiated Mouse Hearts without Affecting Structural and Mircovascular Changes

<div><p>Background</p><p>It is now widely recognized that radiotherapy of thoracic and chest wall tumors increases the long-term risk of cardiovascular damage although the underlying mechanisms are not fully elucidated. There is increasing evidence that microvascular damage is involved. Endoglin, an accessory receptor for TGF-β1, is highly expressed in damaged endothelial cells and may play a crucial role in cell proliferation and revascularization of damaged heart tissue. We have therefore specifically examined the role of endoglin in microvascular damage and repair in the irradiated heart.</p><p>Materials & Methods</p><p>A single dose of 16 Gy was delivered to the heart of adult Eng^+/+ or Eng^+/− mice and damage was evaluated at 4, 20 and 40 weeks, relative to age-matched controls. Gated single photon emission computed tomography (gSPECT) was used to measure cardiac geometry and function, and related to histo-morphology, microvascular damage (detected using immuno- and enzyme-histochemistry) and gene expression (detected by microarray and real time PCR).</p><p>Results</p><p>Genes categorized according to known inflammatory and immunological related disease were less prominently regulated in irradiated Eng^+/− mice compared to Eng^+/+ littermates. Fibrosis related genes, TGF-β1, ALK 5 and PDGF, were only upregulated in Eng^+/+ mice during the early phase of radiation-induced cardiac damage (4 weeks). In addition, only the Eng^+/+ mice showed significant upregulation of collagen deposition in the early fibrotic phase (20 weeks) after irradiation. Despite these differences in gene expression, there was no reduction in inflammatory invasion (CD45+cells) of irradiated Eng^+/− hearts. Microvascular damage (microvascular density, alkaline phosphatase and von-Willebrand-Factor expression) was also similar in both strains.</p><p>Conclusion</p><p>Eng^+/− mice displayed impaired early inflammatory and fibrotic responses to high dose irradiation compared to Eng^+/+ littermates. This did not result in significant differences in microvascular damage or cardiac function between the strains.</p></div

Graphical representation of the top network of differentially regulated genes (40 weeks).

<p>Each network symbolizes the biological functions and/or diseases that were most significantly regulated 40 weeks after cardiac irradiation of Eng ^+/+ mice (n = 4–5) (A) and Eng ^+/− mice (n = 4–7) (B). The genes marked in red represent the upregulated genes and in green the downregulated genes. The solid arrows represent direct interactions and the dotted arrows indirect interactions. Genes circled in dark blue represents central molecules and the light blue lines direct interaction with other genes.</p

Representation of the top network and functional pathways using IPA approach.

<p>Top networks for 4, 20 and 40 weeks after 16 Gy irradiation of Eng^+/+ and Eng^+/− mice. Numbers in brackets represent the network score, which is explained in material and methods. The first two functional pathways for 4, 20 and 40 weeks after 16 Gy irradiation of Eng^+/+ and Eng^+/− mice are also shown. Nerv.system devlp. & funct. : Nervous system development and function; Lipid metabl, Molecl. Transp.: Lipid metabolism, Molecular transport; Hematl. system devlp.& funct.: Hematological system development and function; Cell-to-cell signlg.& inter.: Cell-to-cell signaling and interaction; Cardio.system devlp.& funct.: Cardiovascular system development and function.</p

Representation of differently regulated genes after 16 Gy irradiation using IPA approach.

<p>The top 5 upregulated and downregulated genes per genotype are shown after 16 Gy at 4 weeks, 20 weeks and 40 weeks. Numbers in brackets show log₂ ratio of sham treated mice versus 16 Gy irradiated mice.</p

EDV, ESV, EF and SV measured by gated SPECT at 20 weeks or 40 weeks after irradiation or sham treatment.

<p>Values represent mean ± SEM (7–14 mice in each irradiated group), *p<0.05 compared to age-matched, unirradiated controls.</p

Graphical representation of the top network of differentially regulated genes (20 weeks).

<p>Each network symbolizes the biological functions and/or diseases that were most significantly regulated 20 weeks after cardiac irradiation of Eng ^+/+ mice (n = 4–5) (A) and Eng ^+/− mice (n = 5) (B). The genes marked in red represent the upregulated genes and in green the downregulated genes. The solid arrows represent direct interactions and the dotted arrows indirect interactions. Genes circled in dark blue represents central molecules and the light blue lines direct interaction with other genes.</p

Inflammatory and fibrotic changes at 4, 20 and 40 weeks after irradiation or sham treatment.

<p>(A) Quantification of CD45+ cells per section in the myocardium and (B) epicardium. (C) Percentage interstitial collagen content of irradiated heart sections, relative to age-matched unirradiated controls. Values represent mean ± SEM with 3–6 mice in the 4 weeks group, 4–5 mice in the 20 weeks group and 5–7 in the 40 weeks group, *p<0.05 compared to age-matched unirradiated controls.</p