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We study the existence and the uniqueness of the solution of an integro-differential nonlinear Volterra equation with a weakly singular kernel, then using a product integration method with piecewise projection we approximate the solution of this equation.
This paper presents a methodology for optimizing pre-calculated collision-free paths of differential-drive wheeled robots. The main advantage of this methodology is that optimization is done by considering the kinematics and mechanical constraints of the mobile robot. In accordance to this proposal, the optimized path is achieved by applying recursively a local smoothing on an initial path which is originally modeled as a one-dimensional piecewise linear function. By this recursive smoothing, it can be ensured that the original piecewise linear function can be transformed into a smooth one that fulfill the constraints established by the kinematic equations of the wheeled mobile in terms of a minimum radius of curvature. As a result of this, a trajectory which guarantees lower power consumption and lower mechanical wear, is obtained. To show the better performance of the proposed approach, numerical simulation results are contrasted to those obtained from other reported methods with regards to path length, minimum radius of curvature, cross track error, continuity and resulting acceleration.
In this paper, we provide an approximate approach based on the Galerkin method to solve a class of nonlinear fractional differential algebraic equations. The fractional derivative operator in the Caputo sense is utilized and the generalized Jacobi functions are employed as trial functions. The existence and uniqueness theorem as well as the asymptotic behavior of the exact solution are provided. It is shown that some derivatives of the solutions typically have singularity at origin dependence on the order of the fractional derivative. The influence of the perturbed data on the exact solutions along with the convergence analysis of the proposed scheme is also established. Some illustrative examples provided to demonstrate that this novel scheme is computationally efficient and accurate.
This study leverages high-resolution differential-aperture X-ray structural microscopy (DAXM) to probe the local dislocation structure in deformed 304L-stainless steel at small strain, by measuring the lattice rotation and deviatoric elastic strain with a sub-micron resolution. For a single grain in a polycrystalline specimen, the measured lattice rotation field over the measured volume exhibited a multimodal distribution while the deviatoric elastic strain showed a single-mode distribution. An unsupervised Cauchy mixture machine learning model was developed to resolve the multimodal distribution of the lattice rotation. By mapping the lattice rotation data associated with each Cauchy peak in the model back onto the measured volume, we identify contiguous regions of the crystal rotated near the average values corresponding to the peaks of the overall rotation distribution. These regions represent the grain subdivision in the microstructure. Finally, the dislocation density tensor was also computed and its norm was laid over the rotation field to detect the subgrain boundaries. This step provided a validation of the Cauchy mixture model for the analysis of the lattice rotation distribution. The current study highlights the integration of advanced X-ray microscopy techniques with data-driven analysis methods to uncover detailed microstructure scales in deformed crystals.
Here, we present MADLens a python package for producing non-Gaussian lensing convergence maps at arbitrary source redshifts with unprecedented precision. MADLens is designed to achieve high accuracy while keeping computational costs as low as possible. A MADLens simulation with only particles produces convergence maps whose power agrees with theoretical lensing power spectra up to within the accuracy limits of HaloFit. This is made possible by a combination of a highly parallelizable particle-mesh algorithm, a sub-evolution scheme in the lensing projection, and a machine-learning inspired sharpening step. Further, MADLens is fully differentiable with respect to the initial conditions of the underlying particle-mesh simulations and a number of cosmological parameters. These properties allow MADLens to be used as a forward model in Bayesian inference algorithms that require optimization or derivative-aided sampling. Another use case for MADLens is the production of large, high resolution simulation sets as they are required for training novel deep-learning-based lensing analysis tools. We make the MADLens package publicly available under a Creative Commons License
Chironomus ramosus is known to tolerate high doses of gamma radiation exposure. Larvae of this insect possess more than 95% of hemoglobin (Hb) in its circulatory hemolymph. This is a comparative study to see effect of gamma radiation on Hb of Chironomus and humans, two evolutionarily diverse organisms one having extracellular and the other intracellular Hb respectively. Stability and integrity of Chironomus and human Hb to gamma radiation was compared using biophysical techniques like Dynamic Light Scattering (DLS), UV-visible spectroscopy, fluorescence spectrometry and CD spectroscopy after exposure of whole larvae, larval hemolymph, human peripheral blood, purified Chironomus and human Hb. Sequence- and structure-based bioinformatics methods were used to analyze the sequence and structural similarities or differences in the heme pockets of respective Hbs. Resistivity of Chironomus Hb to gamma radiation is remarkably higher than human Hb. Human Hb exhibited loss of heme iron at a relatively low dose of gamma radiation exposure as compared to Chironomus Hb. Unlike human Hb, the heme pocket of Chironomus Hb is rich in aromatic amino acids. Higher hydophobicity around heme pocket confers stability of Chironomus Hb compared to human Hb. Previously reported gamma radiation tolerance of Chironomus can be largely attributed to its evolutionarily ancient form of extracellular Hb as evident from the present study. -- Highlights: •Comparison of radiation tolerant Chironomus Hb and radiation sensitive Human Hb. •Amino acid composition of midge and human heme confer differential hydrophobicity. •Heme pocket of evolutionarily ancient midge Hb provide gamma radiation resistivity.
Chloride ion (Cl{sup −}) is one of the most abundant anions in our body. Increasing evidence suggests that Cl{sup −} plays fundamental roles in various cellular functions. We have previously reported that electroneutral cation-chloride cotransporters, such as Na{sup +}-K{sup +}-2Cl{sup −} cotransporter 1 (NKCC1) and K{sup +}-Cl{sup −} cotransporter 1 (KCC1), are involved in neurite outgrowth during neuronal differentiation. In the present study, we studied if there is correlation between intracellular Cl{sup −} concentrations ([Cl{sup −}]{sub i}) and the length of growing neurites. We measured [Cl{sup −}]{sub i} in the cell body and growing neurite tips using halide-sensitive fluorescent dye N-(ethoxycarbonylmethyl)-6-methoxyquinolinium bromide (MQAE), revealing that [Cl{sup −}]{sub i} in the tip of growing neurite was higher than that in cell body in a single cell. Importantly, there was a significant positive correlation between the length of growing neurite and [Cl{sup −}]{sub i} in neurite tip. Bumtanide (BMT), an inhibitor of NKCC1, significantly inhibited neurite outgrowth and decreased [Cl{sup −}]{sub i} in neurite tip. The results obtained in the present study and our previous studies together strongly suggest that high [Cl{sup −}]{sub i} in neurite tip region is crucial for efficient neurite outgrowth. - Highlights: • Intracellular Cl{sup −} concentrations ([Cl{sup −}]{sub i}) in the tip of growing neurite is higher than that in cell body in a single cell. • There is a significant positive correlation between the length of growing neurite and [Cl{sup −}]{sub i} in neurite tip. • Bumetanide significantly inhibits neurite outgrowth and decreased [Cl{sup −}]{sub i} in neurite tip. • High [Cl{sup −}]{sub i} in neurite tip region is crucial for efficient neurite outgrowth.
How nutritional excess leads to inflammatory responses in metabolic syndrome is not well characterized. Here, we evaluated the effects of ω-3 polyunsaturated fatty acid specific G-protein coupled receptor 120 (GPR120) activation on inflammatory pathways in adipocytes, and the influence of this process on macrophage migration. Using 3T3-L1 adipocytes, we found that agonizing GPR120 using its synthetic ligand, GSK137647, attenuated both basal and lipopolysaccharide-induced production of interleukin-6 (IL-6) and C-C motif chemokine ligand 2 (CCL2). Moreover, the intervention reduced the phosphorylation of nuclear factor kappa B inhibitor alpha (IκBα) and nuclear translocation of nuclear factor kappa-B p65 subunit (p65). Furthermore, the silencing of GPR120 itself reduced IL-6 and CCL2 mRNA expression. Inhibition of protein kinase C (PKC) augmented the down-regulatory effect of GSK137647 on IL-6 and CCL2 mRNA. Using a luciferase assay to measure promoter activity of the IL-6 gene in mouse embryonic fibroblasts, we demonstrated that exogenous transfection of GPR120 alone reduced the promoter activity, which was augmented by GSK137647. Inhibition of PKC further reduced the promoter activity. Nevertheless, RAW 264.7 macrophages grown in conditioned medium collected from GSK137647-treated adipocytes attenuated the expressions of matrix metalloproteinases-9 and -3, and tissue inhibitor of metalloproteinase-1. Conditioned medium also inhibited the lipopolysaccharide-induced migration of these macrophages. Taken together, these findings provide critical evidence that although GPR120 is associated with a PKC-mediated pro-inflammatory pathway, the direct inhibitory effects of GPR120 on the nuclear factor kappa B pathway are anti-inflammatory. Moreover, GPR120 activity can attenuate the adipocyte-mediated enhanced production of extracellular matrix-modulating factors in macrophages and can reduce their migration by a paracrine mechanism. - Highlights: • Agonizing GPR120 differentially regulates the pro-inflammatory adipocytokines. • Agonizing GPR120 in adipocytes attenuates NF-κB mediated IL-6 and CCL2 production. • Agonizing GPR120 concomitantly triggers a PKC mediated pro-inflammatory pathway. • However, the resulted effect in adipocytes remains anti-inflammatory. • Agonizing GPR120 in adipocytes reduces macrophage migration in a paracrine manner.
Despite the well-established sex-specific differences in the incidence of bronchopulmonary dysplasia (BPD), the molecular mechanism(s) behind these are not completely understood. Pulmonary angiogenesis is critical for alveolarization and arrest in vascular development adversely affects lung development. Human neonatal umbilical vein endothelial cells (HUVECs) provide a robust in vitro model for the study of endothelial cell physiology and function. Male and Female HUVECs were exposed to room air (21% O{sub 2}, 5% CO{sub 2}) or hyperoxia (95% O{sub 2}, 5% CO{sub 2}) for up to 72 h. Cell viability, proliferation, H{sub 2}O{sub 2} production and angiogenesis were analyzed. Sex-specific differences in the expression of VEGFR2 and modulation of NF-kappa B pathway were measured. Male HUVECs have decreased survival, greater oxidative stress and impairment in angiogenesis compared to similarly exposed female cells. There is differential expression of VEGFR2 between male and female HUVECs and greater activation of the NF-kappa B pathway in female HUVECs under hyperoxic conditions. The results indicate that sex differences exist between male and female HUVECs in vitro after hyperoxia exposure. Since endothelial dysfunction has a major role in the pathogenesis of BPD, these differences could explain in part the mechanisms behind sex-specific differences in the incidence of this disease. - Highlights: • Cellular sex effects viability and oxidative stress in HUVECs exposed to hyperoxia. • Male HUVECs show greater impairment in angiogenesis compared to female cells. • Sex-specific modulation of VEGFR2 and the NF-kappaB pathway was noted.
Phagocytosis is a physiological process used by immune cells such as macrophages to actively ingest and destroy foreign pathogens and particles. It is the cellular process that leads to the failure of drug delivery carriers because the drug carriers are cleared by immune cells before reaching their target. Therefore, clarifying the mechanism of particle phagocytosis would have a significant implication for both fundamental understanding and biomedical engineering. As far as we know, the effect of particle shape on biological response has not been fully investigated. In the present study, we investigated the particle shape-dependent cellular uptake and biological response of differentiated THP-1 macrophages by using calcium carbonate (CaCO{sub 3})-based particles as a model. Transmission electron microscopy analysis revealed that the high uptake of needle-shaped CaCO{sub 3} particles by THP-1 macrophages because of their high phagocytic activity. In addition, the THP-1 macrophages exposed to needle-shaped CaCO{sub 3} accumulated a large amount of calcium in the intracellular matrix. The enhanced release of interleukin-8 (IL-8) and tumor necrosis factor-alpha (TNF-α) by the THP-1 macrophages suggested that the needle-shaped CaCO{sub 3} particles trigger a pro-inflammatory response. In contrast, no pro-inflammatory response was induced in undifferentiated THP-1 monocytes exposed to either needle- or cuboidal-shaped CaCO{sub 3} particles, probably because of their low phagocytic activity. We also found that phosphate-coated particles efficiently repressed cellular uptake and the resulting pro-inflammatory response in both THP-1 macrophages and primary peritoneal macrophages. Our results indicate that the pro-inflammatory response of macrophages upon exposure to CaCO{sub 3} particles is shape- and surface property-dependent, and is mediated by the intracellular accumulation of calcium ions released from phagocytosed CaCO{sub 3} particles. - Highlights: • Needle-shaped CaCO{sub 3} particles are phagocytized by macrophages. • Needle-shaped CaCO{sub 3} particles induce intracellular accumulation of calcium ions. • Needle-shaped CaCO{sub 3} particles induce pro-inflammatory responses. • Surface-coating with phosphate decreases adverse effects on macrophages.
Highlights: • Constitutively active GPCRs were dually expressed in a single compartment. • HCN2 channels were differentially activated depending on the GPCR pairs. • Basal actions of GPCRs were abolished by an adenylate cyclase inhibitor. • Basal cAMP pools were specifically established by constitutively active GPCR pairs. The hyperpolarization-activated cyclic nucleotide-gated 2 (HCN2) channel is a major subtype of the HCN channel family expressed in the nervous system that sets the membrane potential, regulates cell excitability and senses changes in the extracellular environment. Neurons express various Gα{sub s}-protein-coupled receptors (GPCRs), many of which show ligand-independent constitutive activity. These membrane-bound proteins are expressed in various subcellular compartments of neurons. Therefore, some proportion of HCN2 channels opens in response to the basal cAMP pool size produced by constitutively active GPCRs. Here, we employed an exogenous HEK293 expression system and voltage-clamp patch-clamp recordings to investigate basal HCN2 channel activity in the presence of two GPCRs with diverse basal activities in a single compartment. We utilized the β2-adrenoceptor (β2AR) together with odorant receptors (ORs), as both GPCR families are known to show strong basal activity. Consequently, β2AR alone strongly enhanced the activity of HCN2 channels, and co-expression of ORs further diversified the HCN2 channel activity, which was totally abolished by an adenylate cyclase inhibitor. Thus, we conclude that the dual expression of constitutively active GPCRs establishes the diverse range of the basal cAMP pool size in resting cells through mutual additive or suppressive interactions, even in the absence of external stimulation.
Highlights: • The ratio of ox-LDL to LDL was elevated in patients with ankylosing spondylitis. • The CD68{sup +}/RANK{sup +} cell number was increased in peripheral blood from AS patients. • 0.03% ox-LDL promoted cytoplasmic translocation and release of HMGB1. • CD68 mediated ox-LDL-induced release of HMGB1. • Ox-LDL-induced EGR1 expression promoted cytoplasmic translocation of HMGB1. Patients with ankylosing spondylitis (AS) have an increased risk for cardiovascular mortality. The circulating ox-LDL/LDL ratio is associated with subclinical atherosclerosis in patients with systemic lupus erythematosus. In this study, we found that the ox-LDL/LDL ratio was increased in AS patients. The levels of serum RANKL and HMGB1 were also elevated in AS patients, and the number of CD68{sup +}/RANK{sup +} cells was increased in peripheral blood from AS patients. 0.03% ox-LDL in LDL, similar to the ox-LDL/LDL ratio in peripheral blood from AS patients, promoted cytoplasmic translocation and release of HMGB1 as well as RANK expression. Further investigation evidenced that ox-LDL-induced EGR1 expression contributed to the cytoplasmic translocation of HMGB1 and CD68 assisted the secretion of HMGB1 from cytoplasm to extracellular matrix. Extracellular HMGB1 induced RANK expression in CD68{sup +} mononuclear cells, forming osteoclast precursors that were differentiated to osteoclasts in response to RANKL. Taken together, these results suggested that the changes, including ox-LDL/LDL ratio, CD68{sup +}/RANK{sup +} cells number, and the levels of RANKL and HMGB1 in AS patients, favored osteoclastogenesis.
Highlights: • The lncRNA HOXA11-AS1 was knocked down in hADSCs. • lncRNA HOXA11-AS1 promoted lipid accumulation in hADSCs. • lncRNA HOXA11-AS1 was highly expressed in obese patients. To determine the role of lncRNA HOXA11-AS1 on adipocyte differentiation.
Many regulators have been identified to participate in the cross-talk between muscle and bone, however, most previous studies focus on secreting proteins. In this study, we demonstrated that exosomes from myoblasts C2C12 can promote pre-osteoblasts MC3T3-E1 differentiation to osteoblasts. We revealed that the effect of C2C12 exosomes depended on its miR-27a-3p component, they can increase miR-27a-3p level in the recipient cells, and decrease its direct target adenomatous polyposis coli (APC) expression, thus activating β-catenin pathway. Furthermore, C2C12 exosomes failed to exert above effects when miR-27a-3p was deprived. These findings indicates exosomal microRNAs can be regarded as a novel type of “myokines” with osteogenesis promoting potential, which would broad our understanding of the muscle-bone interaction under physiological and pathological conditions.
Highlights: • Normal human fibroblasts show intrinsic and directed migration for a long duration. • NMIIA controls protrusion formation in the anterior region to steer migration. • NMIIB prevents protrusions in the posterior region to maintain front-rear polarity. • NMIIA and NMIIB differentially contribute to intrinsic and directed migration. Nonmuscle myosin II (NMII) plays an essential role in directional cell migration. In this study, we investigated the roles of NMII isoforms (NMIIA and NMIIB) in the migration of human embryonic lung fibroblasts, which exhibit directionally persistent migration in an intrinsic manner. NMIIA-knockdown (KD) cells migrated unsteadily, but their direction of migration was approximately maintained. By contrast, NMIIB-KD cells occasionally reversed their direction of migration. Lamellipodium-like protrusions formed in the posterior region of NMIIB-KD cells prior to reversal of the migration direction. Moreover, NMIIB KD led to elongation of the posterior region in migrating cells, probably due to the lack of load-bearing stress fibers in this area. These results suggest that NMIIA plays a role in steering migration by maintaining stable protrusions in the anterior region, whereas NMIIB plays a role in maintenance of front-rear polarity by preventing aberrant protrusion formation in the posterior region. These distinct functions of NMIIA and NMIIB might promote intrinsic and directed migration of normal human fibroblasts.
Highlights: • Nec-7, but not Nec-1, inhibited osteoclast formation and function. • Nec-7 did not affect the M-CSF-supported survival of osteoclast precursor cells. • Nec-7 selectively attenuated RANK-NFATc1 axis and osteoclastic gene expression. • Forced overexpression of RANK restored osteoclastogenesis and NFATc1 amplification. Osteoclasts play a crucial role in osteolytic bone diseases, such as osteoporosis, rheumatoid arthritis, periodontitis, Paget's disease of bone and bone metastatic tumors. Therefore, controlling osteoclast differentiation and function has been considered a promising therapeutic strategy. Here, we show that necrostatin (Nec)-7, an inhibitor of programmed necrosis, strongly suppressed receptor activator of nuclear factor (NF)-κB ligand (RANKL)-induced osteoclastogenesis and bone resorption, without compromising macrophage colony-stimulating factor (M-CSF)-supported survival and growth of osteoclast precursor cells. Accordingly, Nec-7 significantly decreased the levels of RANKL-induced osteoclastogenic marker genes, such as cathepsin K. Mechanistically, Nec-7 neither affected MAPK nor NF-κB activation; however, it strongly inhibited the RANKL receptor (RANK) to nuclear factor of activated T cells c1 (NFATc1) signaling. Lentiviral expression of RANK in bone marrow-derived macrophages significantly restored osteoclastogenesis and NFATc1 amplification in Nec-7-treated cells. In this study, we revealed that Nec-7-sensitive pathways are crucially involved in osteoclast formation and function. Investigation of the molecular mechanism(s) through which Nec-7 inhibits RANK-NFATc1 signaling axis may lead to the development of new therapeutic strategies for bone disease.
Highlights: • Exposed to TiO{sub 2}-NPs caused telomere shortening and chromosome instability in normal cells but not in cancer cells. • The shelterin and Nrf-2 of normal and cancer cells differentially respond to oxidative stress induced by TiO{sub 2}-NPs. • The upregulation of Nrf-2 and shelterin protect telomere and chromosome stability against TiO{sub 2}-NPs exposure. Titanium dioxide nanoparticles (TiO{sub 2}-NPs) have raised serious attention for their widely use and potential adverse effects on human mainly due to producing ROS. However, the influence of TiO{sub 2}-NPs on telomere maintaining has not been studied clearly. Shelterin plays core roles in telomere length (TL) regulation. Abnormal TL are associated with chromosome instability (CIN) and high risk of diseases. This study investigated whether TiO{sub 2}-NPs affect TL to induce CIN through ROS generation and the possible mechanisms. Human hepatocyte L-02 and hepatocarcinoma cells QGY were exposed to TiO{sub 2}-NPs (0, 40, 80 μg/mL) for 72 h. The intracellular hydrogen dioxide (H{sub 2}O{sub 2}) concentration were measured. The TL, Nrf-2, and three core shelterin components (TRF1, TRF2, and POT1) transcription level were determined by quantitative real-time PCR. CIN was measured by cytokinesis-block micronucleus assay. TiO{sub 2}-NPs exposure increased intracellular H{sub 2}O{sub 2} in both L-02 and QGY cells, and induced Nrf-2, TRF1, TRF2, POT1 downregulated transcription compared with control (P P P P Nrf-2 to oxidative stress induced by TiO{sub 2}-NPs led to the weakened telomere protection in normal cells and effective telomere maintenance in cancer cells, respectively. The upregulation of Nrf-2 and shelterin could protect TL and chromosome stability against TiO{sub 2}-NPs exposure.
Highlights: • Liver-X-receptors are nuclear receptors comprising two popular subtypes: LXRα & -β. • LXRα loss inhibited LXR-mediated cardiomyocyte protection from high-glucose stress. • Nuclear receptor corepressor signals marred LXR-mediated cardiomyocyte protection. • LXRα, not -β, protects cardiomyocytes against high-glucose oxidative stress. Liver-X-receptors (LXRs) are ligand-activated transcription factors belonging to the nuclear receptor superfamily. The two popular homologous receptor subtypes, LXRα and LXRβ, exhibit differential expression patterns, thereby probably playing different roles in different contexts. This study aimed to evaluate the different roles of the two LXR subtypes and the mechanisms underlying their protection of cardiomyocytes against high-glucose stress. Silencing of LXRα, but not LXRβ impaired normal LXR-mediated cardioprotective effects against high glucose-induced oxidative stress, apoptosis, and inflammation. Mechanistically, silencing of small ubiquitin-like modifier (SUMO)1 or SUMO2/3 did not affect LXR-mediated cardioprotective effects; however, these were impaired in response to nuclear receptor corepressor (NCoR) silencing. Together, these findings indicate that LXRα, but not LXRβ, protects against high glucose-induced cardiomyocyte injury, probably via the NCoR-dependent transrepression of downstream target genes.