•Fractional differential equations with discrete and distributed delays are investigated.•Fractional nonlinear delayed multi-agent systems with weighted directed topology are investigated.•A simple ...and practical method is proposed to derive algebraic criteria on stability and Consensus.•Numerical simulations are provided to show the conveniences and effectiveness of our proposed results.
This article considers stability of fractional delayed equations and its applications on consensus of multi-agent systems. A modified fractional Razumikhin theorem is presented and some simple algebraic criteria on asymptotic stability of fractional equations with discrete delays and with mixed delays are proposed, respectively. Several sufficient conditions on leader-following and leaderless consensus are proposed by employing graph theory and fractional Razumikhin approach, respectively. The proposed conditions on stability and consensus are easily to be checked, illustrative examples show further validity and conveniences of our derived results.
The effect of nucleon coupling constants on the moment of inertia of proto neutron star (PNS) PSR J0737-3039A is examined with relativistic mean field theory in consideration of a baryon octet. Five ...sets of nucleon coupling parameters DD-MEI, GL85, GL97, GM1, and NL2 are used. Corresponding to the mass of PNS PSR J0737-3039A
M
= 1.338 M
⊙
, the radius range of the PNS PSR J0737-3039A calculated by these five sets of nucleon coupling parameters is
R
= 15.693–18.846 km and the central energy density is
ε
c
=4.3
×
10
14
–6.49
×
10
14
g
·
cm
-
3
. The moment of inertia of the PNS increases with increasing mass and decreases with increasing radius. The moment of inertia of the PNS reaches its maximum at a certain mass or radius. However, the mass or radius corresponding to the maximum value of the moment of inertia calculated by different nucleon coupling parameters is different. The moment of inertia of the PNS PSR J0737-3039A calculated by the five sets of nucleon coupling parameters is
I
= 1.697
×
10
45
–1.976
×
10
45
g
·
cm
2
.
: Increasing evidence demonstrates that melatonin has an anti‐apoptotic effect in somatic cells. However, whether melatonin can protect against germ cell apoptosis remains obscure. Cadmium (Cd) is a ...testicular toxicant and induces germ cell apoptosis. In this study, we investigated the effects of melatonin on Cd‐evoked germ cell apoptosis in testes. Male ICR mice were intraperitoneally (i.p.) injected with melatonin (5 mg/kg) every 8 hr, beginning at 8 hr before CdCl2 (2.0 mg/kg, i.p.). As expected, acute Cd exposure resulted in germ cell apoptosis in testes, as determined by terminal dUTP nick‐end labeling (TUNEL) staining. Melatonin significantly alleviated Cd‐induced testicular germ cell apoptosis. An additional experiment showed that spliced form of XBP‐1, the target of the IRE‐1 pathway, was significantly increased in testes of mice injected with CdCl2. GRP78, an endoplasmic reticulum (ER) chaperone, and CHOP, a downstream target of the PERK pathway, were upregulated in testes of Cd‐treated mice. In addition, acute Cd exposure significantly increased testicular eIF2α and JNK phosphorylation, indicating that the unfolded protein response (UPR) pathway was activated by CdCl2. Interestingly, melatonin almost completely inhibited Cd‐induced ER stress and the UPR in testes. In addition, melatonin obviously attenuated Cd‐induced heme oxygenase (HO)‐1 expression and protein nitration in testes. Taken together, these results suggest that melatonin alleviates Cd‐induced cellular stress and germ cell apoptosis in testes. Melatonin may be useful as pharmacological agents to protect against Cd‐induced testicular toxicity.
The impact of resveratrol (RSV) on radiation (RAD)‐induced brain injury in rats' brains was investigated. A total of 40 male Wistar Albino rats were randomly divided into four groups (control, RAD, ...RAD + RSV, and RSV groups, with 10 rats in each group). The results revealed a significant decrease in catalase, superoxide dismutase, glutathione peroxidase, and glutathione reductase activities, as well as glutathione (GSH) content. Further, a significant elevation in malondialdehyde, nitric oxide, interleukin‐1‐beta (IL‐1β), IL‐6, and transforming growth factor‐β1 levels were observed. Furthermore, decreased B‐cell lymphoma 2 (Bcl‐2), increased Bcl‐2‐associated X, and tumor necrosis factor‐α genes expression, decreased nuclear factor erythroid‐related factor 2, heme oxygenase‐1, and increased nuclear factor‐κB protein levels were noticed. Also, an apoptosis marker, caspase‐3‐positive cells, was seen in the hippocampus. Those effects were observed in the RAD group of rats. The treatment of RSV displayed a significant amendment of the studied parameters in the brain tissues of the RAD group of animals. This effect is interrelated to the ability of RSV to scavenge the free radicals, enhance the activity of the antioxidant enzymes, increase GSH contents, and downregulate the inflammatory responses and apoptosis markers in the brain tissues of RAD animals. In conclusion, this study demonstrated that the potent antioxidant, anti‐inflammatory, and antiapoptotic activities of RSV can improve the antioxidant status and suppress the inflammatory responses and apoptosis in the brain tissues of RAD animals.
•By RMF theory the effect of Ξ hyperon coupling parameters the z of the NS PSR J1614-2230 and NS PSR J0348+0432 is studied as the UΞ(N) is fixed.•The z the NS PSR J0348+0432 decreases by more than ...that of the less massive NS PSR J1614-2230.•The greater the mass of the NS, the greater the influence of the Ξ coupling parameter on the value range of the z of the NS.
With relativistic mean field theory we examine effect of hyperon coupling constants of hyperon Ξ on the surface gravitational redshift of the massive neutron star (NS) PSR J1614-2230 and NS PSR J0348+0432 as the potential well depth of hyperon Ξ is fixed. We find that the mass and radius of a NS increase with the increase of the coupling constant of hyperon Ξ. With the increase of the coupling constant of the hyperon Ξ, the surface gravitational redshift will decrease for a same NS mass but will increase for a same NS radius. The surface gravitational redshift of the more massive NS PSR J0348+0432 decreases by more than that of the less massive NS PSR J1614-2230. We also find that the value range of the surface gravitational redshift of NS will become narrower with the increase of the coupling constant of hyperon Ξ. The greater the NS mass, the greater the influence of the coupling constant of hyperon Ξ on the value range of the surface gravitational redshift of the NS.
To identify the role of enterotoxin‐related genes in colorectal cancer (CRC) development and progression. Upregulated differentially expressed genes shared by three out of five Gene Expression ...Omnibus (GEO) data sets were included to screen the key enterotoxin‐induced oncogenes (EIOGs) according to criteria oncogene definition, enrichment, and protein–protein interaction (PPI) network analysis, followed by prognosis survival, immune infiltration, and protential drugs analyses was performed via integration of RNA‐sequencing data and The Cancer Genome Atlas‐derived clinical profiles. We screened nine common key EIOGs from at least three GEO data sets. A Cox proportional hazards regression models verified that more alive cases, decreased overall survival, and highest 4‐year survival prediction in CRC patients with high‐risk score. Protein tyrosine phosphatase receptor type F polypeptide‐interacting protein alpha‐4 (PPFIA4), STY11, SCN3B, and SPTBN5 were shared in the same PPI network. Immune infiltration results showed that SCN3B and synaptotagmin 11 expression were obviously associated with B cell, macrophage, myeloid dendritic cell, neutrophils, and T cell CD4+ and CD8+ in both colon adenocarcinoma and rectal adenocarcinoma. CHIR‐99021, MLN4924, and YK4‐279 were identified as the potential drugs for treatment. Finally, upregulated EIOGs genes PPFIA4 and SCN3B were found in colon adenocarcinoma and PPFIA4 and SCN3B were proved to promote cell proliferation and migration in vitro. We demonstrated here that EIOGs promoting a malignancy phenotype was related with poor survival and prognosis in CRC, which might be served as novel therapeutic targets in CRC management.
Enterotoxin‐induced oncogenes (EIOGs) promoting a malignancy phenotype was related with poor survival and prognosis in colorectal cancer, the key EIOGs protein tyrosine phosphatase receptor type F polypeptide‐interacting protein alpha‐4 (PPPFIA4) and SCN3B, which upregulate in colon adenocarcinoma, can promote cell proliferation, migration and invasion in vitro. This study suggest that EIOGs might be served as novel therapeutic targets in colorectal cancer management.
The effect of mesons
f
0
(975) (named as
f
),
ϕ
(1020) (named as
ϕ
) and
δ
on the moment of inertia of the PNS PSR J0348+0432 is examined in the framework of the relativistic mean field theory ...considering the baryon octet. It is found that the energy density
ε
and pressure
p
will increase considering the mesons
δ
whereas will decrease as the mesons
f
and
ϕ
being considered. When the mesons
f
,
ϕ
and
δ
are considered, the energy density and pressure will all decrease. It is also found that the contribution of mesons
f
,
ϕ
and
δ
to the central energy density is only the central energy density’s 0.06 ∼0.6% whereas the contribution of mesons
f
,
ϕ
and
δ
to the central pressure is the central pressure’s 4 ∼7%. For the radius, it will decrease when the contributions of mesons
f
,
ϕ
and
δ
are considered. The moment of inertia
I
will increase considering the mesons
δ
whereas will decrease as the mesons
f
and
ϕ
being considered. When the mesons
f
,
ϕ
and
δ
are all considered, the moment of inertia will decrease. It is found that the contribution of mesons
f
and
ϕ
to moment of inertia is 4 ∼9 times larger than that of mesons
δ
. Our results show that the mesons
f
,
ϕ
and
δ
contribute to the moment of inertia’s 2 ∼5%.
The difference of the moment of inertia of the neutron star PSR J0348+0432 and that of its proto neutron star is studied in the framework of the relativistic mean field theory considering baryon ...octet. The temperature of the proto neutron star PSR J0348+0432 is chosen as
T
=
5
MeV
. The calculations show that the central baryon number density of the proto neutron star PSR J0348+0432 is in the range
0.623
∼
0.813
fm
−
3
, decreased by
2
∼
7
%
compared to that of the neutron star PSR J0348+0432. The radius of the proto neutron star PSR J0348+0432 is in the range
13.101
∼
12.419
km
, increased by
1
∼
2
%
compared to that of the neutron star PSR J0348+0432. The moment of inertia of the proto neutron star PSR J0348+0432 is in the range
1.939
×
10
45
∼
1.638
×
10
45
g
cm
2
, increased by about
2
∼
7
%
compared to that of the neutron star PSR J0348+0432.
Environmentally friendly and highly efficient blue luminescent materials are an unremitting pursuit in the optoelectronic field. Herein, we assembled a new 0D lead-free metal halide of
(F-PPA)ZnBr
4
..., which exhibits narrow blue light emission with a remarkable PLQY of 50.15%, high stability and high detection sensitivity toward UV light. These results indicate the potential for the application of low-dimensional zinc-based halides in multiple optoelectronic devices.
A new 0D lead-free metal halide of
(F-PPA)ZnBr
4
with narrow blue emission, high PLQY, high stability and high detection sensitivity to UV light was synthesized and measured.
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