Complexity of primal-dual interior-point algorithm for linear programming based on a new class of kernel functions

summary:In this paper, we first present a polynomial-time primal-dual interior-point method (IPM) for solving linear programming (LP) problems, based on a new kernel function (KF) with a hyperbolic-logarithmic barrier term. To improve the iteration bound, we propose a parameterized version of this function. We show that the complexity result meets the currently best iteration bound for large-update methods by choosing a special value of the parameter. Numerical experiments reveal that the new KFs have better results comparing with the existing KFs including $\log t$ in their barrier term. To the best of our knowledge, this is the first IPM based on a parameterized hyperbolic-logarithmic KF. Moreover, it contains the first hyperbolic-logarithmic KF (Touil and Chikouche in Filomat 34:3957-3969, 2020) as a special case up to a multiplicative constant, and improves significantly both its theoretical and practical results

Cytokines and Nitric Oxide in Immunopathogenesis of IBD and Potential Therapeutic Approaches

Inflammatory bowel disease (IBD), which includes Crohn’s disease (CD) and ulcerative colitis (UC), is a multi-factorial condition characterized by a chronic inflammation of the gastrointestinal tract. In IBD, the balance between pro/anti-inflammatory cytokines and immuno-regulatory cytokines is disturbed. An over-production of pro-inflammatory cytokines and nitric oxide characterizes the pathogenesis of IBD. In Crohn’s disease the major cytokines are generated by Th1- and Th17-polarized T cells. In contract, UC is viewed more as an atypical Th2-type immune response characterized by the generation of high amount of IL-5, IL-4 and IL-13. Both Th1 and Th17 cytokines are involved in the up-regulation of iNOS expression in IBD and the production of high level of nitric oxide (NO). The latter, as an effect, causes tissue damages through the generation of reactive nitric oxygen species (RNOS). A better understanding of the pathogenesis of IBD has led to the development of new therapeutic strategies based on targeting cytokines and their receptors as well as NO modulation. Manipulation the microbiota with probiotics and helminthes may have potential use as anti-inflammatory agents in IBD by inducing anti-inflammatory cytokine pattern

All-Trans Retinoic Acid Modulates TLR4/NF- κ

Colitis associated cancer (CAC) is the colorectal cancer (CRC) subtype that is associated with bowel disease such as ulcerative colitis (UC). The data on role of NF-κB signaling in development and progression of CAC were derived from preclinical studies, whereas data from human are rare. The aim of this work was to study the contribution of NF-κB pathway during UC and CAC, as well as the immunomodulatory effect of all-trans retinoic acid (AtRA). We analyzed the expression of NOS2, TNF-α, TLR4, and NF-κB, in colonic mucosa. We also studied NO/TNF-α modulation by LPS in colonic mucosa pretreated with AtRA. A marked increase in TLR4, NF-κB, TNF-α, and NOS2 expression was reported in colonic mucosa. The relationship between LPS/TLR4 and TNF-α/NO production, as well as the role of NF-κB signaling, was confirmed by ex vivo experiments and the role of LPS/TLR4 in NOS2/TNF-α induction through NF-κB pathway was suggested. AtRA downregulates NOS2 and TNF-α expression. Collectively, our study indicates that AtRA modulates in situ LPS/TLR4/NF-κB signaling pathway targeting NOS2 and TNF-α expression. Therefore, we suggest that AtRA has a potential value in new strategies to improve the current therapy, as well as in the clinical prevention of CAC development and progression

A feasible primal–dual interior point method for linear semidefinite programming

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Role of Probiotics and Their Metabolites in Inflammatory Bowel Diseases (IBDs)

Inflammatory Bowel Disease (IBD) is a term used to describe a group of complex disorders of the gastrointestinal (GI) tract. IBDs include two main forms: Crohn’s Disease (CD) and Ulcerative Colitis (UC), which share similar clinical symptoms but differ in the anatomical distribution of the inflammatory lesions. The etiology of IBDs is undetermined. Several hypotheses suggest that Crohn’s Disease and Ulcerative Colitis result from an abnormal immune response against endogenous flora and luminal antigens in genetically susceptible individuals. While there is no cure for IBDs, most common treatments (medication and surgery) aim to reduce inflammation and help patients to achieve remission. There is growing evidence and focus on the prophylactic and therapeutic potential of probiotics in IBDs. Probiotics are live microorganisms that regulate the mucosal immune system, the gut microbiota and the production of active metabolites such as Short-Chain Fatty Acids (SCFAs). This review will focus on the role of intestinal dysbiosis in the immunopathogenesis of IBDs and understanding the health-promoting effects of probiotics and their metabolites

IL-23/IL-17A Axis Correlates with the Nitric Oxide Pathway in Inflammatory Bowel Disease: Immunomodulatory Effect of Retinoic Acid

International audienceInflammatory bowel diseases (IBDs) are chronic inflammatory diseases of the gastrointestinal tract, which are clinically present as 1 of the 2 disorders, Crohn's disease (CD) or ulcerative colitis (UC) (Rogler 2004). The immune dysregulation in the intestine plays a critical role in the pathogenesis of IBD, involving a wide range of molecules, including cytokines. The aim of this work was to study the involvement of T-helper 17 (Th17) subset in the bowel disease pathogenesis by the nitric oxide (NO) pathway in Algerian patients with IBD. We investigated the correlation between the proinflammatory cytokines [(interleukin (IL)-17, IL-23, and IL-6] and NO production in 2 groups of patients. We analyzed the expression of messenger RNAs (mRNAs) encoding Th17 cytokines, cytokine receptors, and NO synthase 2 (NOS2) in plasma of the patients. In the same way, the expression of p-signal transducer and activator of transcription 3 (STAT3) and NOS2 was measured by immunofluorescence and immunohistochemistry. We also studied NO modulation by proinflammatory cytokines (IL-17A, IL-6, tumor necrosis factor α, or IL-1β) in the presence or absence of all-trans retinoic acid (At RA) in peripheral blood mononuclear cells (PBMCs), monocytes, and in colonic mucosa cultures. Analysis of cytokines, cytokine receptors, and NOS2 transcripts revealed that the levels of mRNA transcripts of the indicated genes are elevated in all IBD groups. Our study shows a significant positive correlation between the NO and IL-17A, IL-23, and IL-6 levels in plasma of the patients with IBD. Interestingly, the correlation is significantly higher in patients with active CD. Our study shows that both p-STAT3 and inducible NOS expression was upregulated in PBMCs and colonic mucosa, especially in patients with active CD. At RA downregulates NO production in the presence of proinflammatory cytokines for the 2 groups of patients. Collectively, our study indicates that the IL-23/IL-17A axis plays a pivotal role in IBD pathogenesis through the NO pathway

All-Trans Retinoic Acid Modulates TLR4/NF-κB Signaling Pathway Targeting TNF-α and Nitric Oxide Synthase 2 Expression in Colonic Mucosa during Ulcerative Colitis and Colitis Associated Cancer

Colitis associated cancer (CAC) is the colorectal cancer (CRC) subtype that is associated with bowel disease such as ulcerative colitis (UC). The data on role of NF-κB signaling in development and progression of CAC were derived from preclinical studies, whereas data from human are rare. The aim of this work was to study the contribution of NF-κB pathway during UC and CAC, as well as the immunomodulatory effect of all-trans retinoic acid (AtRA). We analyzed the expression of NOS2, TNF-α, TLR4, and NF-κB, in colonic mucosa. We also studied NO/TNF-α modulation by LPS in colonic mucosa pretreated with AtRA. A marked increase in TLR4, NF-κB, TNF-α, and NOS2 expression was reported in colonic mucosa. The relationship between LPS/TLR4 and TNF-α/NO production, as well as the role of NF-κB signaling, was confirmed by ex vivo experiments and the role of LPS/TLR4 in NOS2/TNF-α induction through NF-κB pathway was suggested. AtRA downregulates NOS2 and TNF-α expression. Collectively, our study indicates that AtRA modulates in situ LPS/TLR4/NF-κB signaling pathway targeting NOS2 and TNF-α expression. Therefore, we suggest that AtRA has a potential value in new strategies to improve the current therapy, as well as in the clinical prevention of CAC development and progression