Analysis of common attacks in public-key cryptosystems based on low-density parity-check codes

The security and reliability of a class of public-key cryptosystems against attacks by unauthorized parties, who had acquired partial knowledge of one or more of the private key components and/or of the message, were discussed. The standard statistical mechanical methods of dealing with diluted spin systems with replica symmetric considerations were analyzed. The dynamical transition which defined decryption success in practical situation was studied. The phase diagrams which showed the dynamical threshold as a function of the partial acquired knowledge of the private key were also presented.

Statistical mechanics of broadcast channels using low-density parity-check codes

We investigate the use of Gallager's low-density parity-check (LDPC) codes in a degraded broadcast channel, one of the fundamental models in network information theory. Combining linear codes is a standard technique in practical network communication schemes and is known to provide better performance than simple time sharing methods when algebraic codes are used. The statistical physics based analysis shows that the practical performance of the suggested method, achieved by employing the belief propagation algorithm, is superior to that of LDPC based time sharing codes while the best performance, when received transmissions are optimally decoded, is bounded by the time sharing limit.

Phospholipid chlorohydrin induces leukocyte adhesion to Apoe(-/-) mouse arteries via upregulation of P-selectin

HOCl-modified low-density lipoprotein (LDL) has proinflammatory effects, including induction of inflammatory cytokine production, leukocyte adhesion, and ROS generation, but the components responsible for these effects are not completely understood. HOCl and the myeloperoxidase-H2O2-halide system can modify both protein and lipid moieties of LDL and react with unsaturated phospholipids to form chlorohydrins. We investigated the proinflammatory effects of 1-stearoyl-2-oleoyl-sn-3-glycerophosphocholine (SOPC) chlorohydrin on artery segments and spleen-derived leukocytes from ApoE-/- and C57 Bl/6 mice. Treatment of ApoE-/- artery segments with SOPC chlorohydrin, but not unmodified SOPC, caused increased leukocyte-arterial adhesion in a time- and concentration-dependent manner. This could be prevented by pretreatment of the artery with P-selectin or ICAM-1-blocking antibodies, but not anti-VCAM-1 antibody, and immunohistochemistry showed that P-selectin expression was upregulated. However, chlorohydrin treatment of leukocytes did not increase expression of adhesion molecules LFA-1 or PSGL-1, but caused increased release of ROS from PMA-stimulated leukocytes by a CD36-dependent mechanism. The SOPC chlorohydrin-induced adhesion and ROS generation could be abrogated by pretreatment of the ApoE-/- mice with pravastatin or a nitrated derivative, NCX 6550. These findings suggest that phospholipid chlorohydrins formed in HOCl-treated LDL could contribute to the proinflammatory effects observed for this modified lipoprotein in vitro.

Are lipid ratios less susceptible to change with systemic inflammation than individual lipid components in patients with rheumatoid arthritis?

Rheumatoid arthritis (RA) associates with excess cardiovascular risk and there is a need to assess that risk. However, individual lipid levels may be influenced by disease activity and drug use, whereas lipid ratios may be more robust. A cross-sectional cohort of 400 consecutive patients was used to establish factors that influenced individual lipid levels and lipid ratios in RA, using multiple regression models. A further longitudinal cohort of 550 patients with RA was used to confirm these findings, using generalized estimating equations. Cross-sectionally, higher C-reactive protein (CRP) levels correlated with lower levels of total cholesterol (TC), low-density lipoprotein-cholesterol (LDL-C), and high-density lipoprotein-cholesterol ([HDL-C] P = .015), whereas lipid ratios did not correlate with CRP. The findings were broadly replicated in the longitudinal data. In summary, the effects of inflammation on individual lipid levels may underestimate lipid-associated cardiovascular disease (CVD) risk in RA, thus lipid ratios may be more appropriate for CVD risk stratification in RA.

Finite-size effects in low-density parity-check codes applied to cryptography

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Fatty acid and phospholipid chlorohydrins cause cell stress and endothelial adhesion

The oxidation of low-density lipoprotein (LDL) is thought to contribute to atherogenesis, which is an inflammatory disease involving activation of phagocytic cells. Myeloperoxidase, an enzyme which is able to produce hypochlorous acid (HOCl), is released from these phagocytic cells, and has been found in an active form in atherosclerotic plaques. HOCl can oxidize both the lipid and protein moiety of LDL, and HOCl-modified LDL has been found to be pro-inflammatory, although it is not known which component is responsible for this effect. As HOCl can oxidize lipids to give chlorohydrins, we hypothesized that phospholipid chlorohydrins might have toxic and pro-inflammatory effects. We have formed chlorohydrins from fatty acids (oleic, linoleic and arachidonic acids) and from phospholipids (stearoyl-oleoyl phosphatidylcholine, stearoyl-linoleoyl phosphatidylcholine and stearoyl-arachidonoyl phosphatidylcholine), and investigated various biological effects of these oxidation products. Fatty acid and phospholipid chlorohydrins were found to deplete ATP levels in U937 cells in a concentration-dependent manner, with significant effects observed at concentrations of 25 µM and above. Low concentrations (25 µM) of stearoyl-oleoyl phosphatidylcholine and stearoyl-arachidonoyl phosphatidylcholine chlorohydrins were also found to increase caspase-3 activity. Finally, stearoyl-oleoyl phosphatidylcholine chlorohydrin increased leukocyte adhesion to artery segments isolated from C57Bl/6 mice. These results demonstrate potentially harmful effects of lipid chlorohydrins, and suggest that they may contribute to some of the pro-inflammatory effects that HOCl-modified low density lipoprotein has been found to induce.

Oxidised LDL-lipids increase beta amyloid production by SH-SY5Y cells through glutathione depletion and lipid raft formation

Elevated total cholesterol in midlife has been associated with increased risk of dementia in later life. We have previously shown that low-density lipoprotein (LDL) is more oxidized in the plasma of dementia patients, although total cholesterol levels are not different from those of age-matched controls. β-Amyloid (Aβ) peptide, which accumulates in Alzheimer disease (AD), arises from the initial cleavage of amyloid precursor protein by β-secretase-1 (BACE1). BACE1 activity is regulated by membrane lipids and raft formation. Given the evidence for altered lipid metabolism in AD, we have investigated a mechanism for enhanced Aβ production by SH-SY5Y neuronal-like cells exposed to oxidized LDL (oxLDL). The viability of SH-SY5Y cells exposed to 4 μg oxLDL and 25 μM 27-hydroxycholesterol (27OH-C) was decreased significantly. Lipids, but not proteins, extracted from oxLDL were more cytotoxic than oxLDL. In parallel, the ratio of reduced glutathione (GSH) to oxidized glutathione was decreased at sublethal concentrations of lipids extracted from native and oxLDL. GSH loss was associated with an increase in acid sphingomyelinase (ASMase) activity and lipid raft formation, which could be inhibited by the ASMase inhibitor desipramine. 27OH-C and total lipids from LDL and oxLDL independently increased Aβ production by SH-SY5Y cells, and Aβ accumulation could be inhibited by desipramine and by N-acetylcysteine. These data suggest a mechanism whereby oxLDL lipids and 27OH-C can drive Aβ production by GSH depletion, ASMase-driven membrane remodeling, and BACE1 activation in neuronal cells. © 2014 The Authors.

Typical performance of regular low-density parity-check codes over general symmetric channels

Typical performance of low-density parity-check (LDPC) codes over a general binary-input output-symmetric memoryless channel is investigated using methods of statistical mechanics. Relationship between the free energy in statistical-mechanics approach and the mutual information used in the information-theory literature is established within a general framework; Gallager and MacKay-Neal codes are studied as specific examples of LDPC codes. It is shown that basic properties of these codes known for particular channels, including their potential to saturate Shannon's bound, hold for general symmetric channels. The binary-input additive-white-Gaussian-noise channel and the binary-input Laplace channel are considered as specific channel models.

The formation of phosphatidylcholine oxidation products by stimulated phagocytes

Phagocytic cells produce a variety of oxidants as part of the immune defence, which react readily both with proteins and lipids, and could contribute to the oxidation of low density lipoprotein in atherosclerosis. We have investigated the oxidation of phospholipid vesicles by neutrophils and mononuclear cells, to provide a model of lipid oxidation in the absence of competing protein. Phorbol 12-myristate 13-acetate-stimulated neutrophils were incubated with phospholipid vesicles containing dipalmitoyl phosphatidylcholine, palmitoyl-arachidonoyl phosphatidylcholine (PAPC) and stearoyl-oleoyl phosphatidylcholine, before extraction of the lipids for analysis by HPLC coupled to electrospray mass spectrometry. The formation of monohydroperoxides (814 m/z) and bis-hydroperoxides (846 m/z) of PAPC was observed. However, the major oxidized product occurred at 828 m/z, and was identified as 1-palmitoyl-2-(5,6-epoxyisoprostane E-2)-sn-glycero-3-phosphocholine. These products were also formed in incubations where the neutrophils were replaced by mononuclear cells, and the amounts produced per million cells were similar. These results show that following oxidative attack by phagocytes stimulated by PMA, intact phospholipid oxidation products can be detected. The identification of an epoxyisoprostane phospholipid as the major product of phagocyte-induced phospholipid oxidation is novel, and in view of its inflammatory properties has implications for phagocyte involvement in atherogenesis.

Critical noise levels for low-density parity check decoding

We determine the critical noise level for decoding low-density parity check error-correcting codes based on the magnetization enumerator (M), rather than on the weight enumerator (W) employed in the information theory literature. The interpretation of our method is appealingly simple, and the relation between the different decoding schemes such as typical pairs decoding, MAP, and finite temperature decoding (MPM) becomes clear. In addition, our analysis provides an explanation for the difference in performance between MN and Gallager codes. Our results are more optimistic than those derived using the methods of information theory and are in excellent agreement with recent results from another statistical physics approach.

Phagocyte oxidation of phospholipids: comparison of hydroperoxide, chlorohydrin and epoxyisoprostane formation by LC-MS

Phagocytic cells produce a variety of oxidants as part of the immune defence, which react readily both with proteins and lipids, and could contribute to the oxidation of low density lipoprotein in atherosclerosis. We have investigated the oxidation of phospholipid vesicles by isolated human polymorphonuclear and mononuclear leukocytes, to provide a model of lipid oxidation in the absence of competing protein. PMA-stimulated cells were incubated with phospholipid vesicles contammg dipalmitoyl phosphatidylcholine (DPPC), palmitoyl-arachidonoyl phosphatidylcholine (PAPC), and stearoyl-oleoyl phosphatidylcholine (SOPC), before extraction of the lipids for analysis by HPLC coupled to electrospray mass spectrometry. In this system, oxidized phosphatidylcholines elute earlier than the native lipids owing to their decreased hydrophobicity, and can be identified according to their molecular mass. The formation of monohydroperoxides of P APC was observed routinely, together with low levels of hydroxides, but no chlorohydrin derivatives of P APC or SOPC were detected. However, the major oxidized product occurred at 828 m/z, and was identified as I-palmitoyl-2-(5,6-epoxyisoprostane E2)-sn-glycero-3-phosphocholine. These results show that phagocytes triggered by PMA cause oxidative damage to lipids predominantly by free radical mechanisms, and that electrophilic addition involving HOCl is not a major mechanism of attack. The contribution of myeloperoxidase and metal ions to the oxidation process is currently being investigated, and preliminary data suggest that myeloperoxidase-derived oxidants are responsible for the epoxyisoprostane phospholipid formation. The identification of an epoxyisoprostane phospholipid as the major product following phagocyte-induced phospholipid oxidation is novel and has implications for phagocyte involvement in atherogenesis.

Systemic circulatory influences on retinal microvascular function in middle-age individuals with low to moderate cardiovascular risk

Purpose: To investigate the relationship between retinal microvascular reactivity, circulatory markers for CVD risk and systemic antioxidative defence capacity in healthy middle-aged individuals with low to moderate risk of CVD. Methods: Retinal vascular reactivity to flickering light was assessed in 102 healthy participants (46-60 years) by means of dynamic retinal vessel analysis (DVA). Other vascular assessments included carotid intima-media thickness (C-IMT) and blood pressure (BP) measurements. Total cholesterol (CHOL), high-density lipoprotein cholesterol (HDL-C), low-density lipoprotein cholesterol (LDL-C), triglycerides (TG) and blood glutathione levels in its reduced (GSH) and oxidized (GSSG) forms were also determined for each participant, along with Framingham risk scores (FRS). Results: Retinal arterial baseline diameter fluctuation (BDF) was independently, significantly and negatively influenced by LDL-C levels (β = -0.53, p = 0.027). Moreover, the arterial dilation slope (SlopeAD) was independently, significantly and positively associated with redox index (GSH: GSSG ratio, β = 0.28, p = 0.016), while the arterial constriction slope (SlopeAC) was significantly and negatively influenced by blood GSH levels (β = -0.20, p = 0.042), and positively associated with FRS (β = 0.25, p = 0.009). Venous BDF and dilation amplitude (DA) were also negatively influenced by plasma LDL-C levels (β = -0.83, p = 0.013; and β = -0.22, p = 0.028, respectively). Conclusions: In otherwise healthy individuals with low to moderate cardiovascular risk, retinal microvascular dilation and constriction responses to stress levels are influenced by systemic antioxidant capacity, and circulating markers for cardiovascular risk.

Oxidised LDL-lipids alter redox ratio, lipid raft formation and increase amyloid beta production by SHSY-5Y cells

Elevated cholesterol in mid-life has been associated with increased risk of dementia in later life. We have previously shown that low density lipoprotein (LDL) is more oxidised in the plasma of dementia patients although total cholesterol levels remained unchanged [1]. We have investigated the hypothesis that amyloid beta production and neurodegeneration can be driven by oxidised lipids derived from LDL following the loss of blood brain barrier integrity with ageing. Therefore, we have investigated amyloid beta formation in SHSY5Y cells treated with LDL, minimally modified (ox) LDL, and lipids extracted from both forms of LDL. LDL-treated SHSY-5Y cell viability was not significantly decreased with up to 8 μg LDL/2 × 104 cells compared to untreated cells. However, 8 μg oxLDL protein/2 × 104 cells decreased the cell viability significantly by 33.7% (P < 0.05). A more significant decrease in cell viability was observed when treating cells with extracted lipids from 8 μg of LDL (by 32.7%; P < 0.01) and oxLDL (by 41%; P < 0.01). In parallel, the ratio of reduced to oxidised GSH was decreased; GSH concentrations were significantly decreased following treatment with 0.8 μg/ml oxLD-L (7.35 ± 0.58;P < 0.01), 1.6 μg/ml (5.27 ± 0.23; P < 0.001) and 4 μg/ml (5.31 ± 0.31; P < 0.001). This decrease in redox potential was associated with an increase acid sphingomyelinase activity and lipid raft formation which could be inhibited by desipramine; SHSY5Y cells treated with oxLDL, and lipids from LDL and oxLDL for 16 h showed significantly increased acid sphingomyelinase activity (5.32 ± 0.35; P < 0.05, 5.21 ± 0.6; P < 0.05, and 5.58 ± 0.44; P < 0.01, respectively) compared to control cells (2.96 ± 0.34). As amyloid beta production is driven by the activity of beta secretase and its association with lipid rafts, we investigated whether lipids from ox-LDL can influence amyloid beta by SHSY-5Y cells in the presence of oxLDL. Using ELISA and Western blot, we confirmed that secretion of amyloid beta oligomers is increased by SHSY-5Y cells in the presence of oxLDL lipids. These data suggest a mechanism whereby LDL, and more significantly oxLDL lipids, can drive amyloid beta production and cytotoxicity in neuronal cells. [1] Li L, Willets RS, Polidori MC, Stahl W, Nelles G, Sies H, Griffiths HR. Oxidative LDL modification is increased in vascular dementia and is inversely associated with cognitive performance. Free Radic Res. 2010 Mar; 44(3): 241–8.