Accretion-modified stellar-mass black hole distribution and milli-Hz gravitational wave backgrounds from galaxy centre

Gas accretion of embedded stellar-mass black holes\,(sBHs) or stars in the accretion disk of active galactic nuclei\,(AGNs) will modify the mass distribution of these sBHs and stars, which will also affect the migration of the sBHs/stars. With the introduction of the mass accretion effect, we simulate the evolution of the sBH/star distribution function in a consistent way by extending the Fokker-Planck equation of sBH/star distributions to the mass-varying scenario, and explore the mass distribution of sBHs in the nuclear region of the galaxy centre. We find that the sBHs can grow up to several tens solar mass and form heavier sBH binaries, which will be helpful for us to understand the black-hole mass distribution as observed by the current and future ground-based gravitational wave detectors\,(e.g., LIGO/VIRGO, ET and Cosmic Explorer). We further estimate the event rate of extreme mass-ratio inspirals\,(EMRI) for sBH surrounding the massive black hole and calculate the stochastic gravitational wave\,(GW) background of the EMRIs. We find that the background can be detected in future space-borne GW detectors after considering the sBHs embedded in the AGN disk, while the mass accretion has a slight effect on the GW background.Comment: 15 pages, 8 figures, Accepted by MNRA

Research Progress of Metabolic Syndrome and Renal Cancer

Metabolic syndrome (MS) is a condition of metabolic abnormalities in genetically predisposed individuals that are caused by lifestyle habits such as consumption of diet rich in fat and lack of exercise. Few major symptoms include abnormal glucose tolerance, hypertension, abnormal lipid metabolism (including high triglycerides in the blood, low high density lipoprotein cholesterol, etc.), obesity, etc. Although metabolic syndrome has been found to be mainly related to cardiovascular diseases, diabetes, malignancy and other diseases, in recent years, more and more evidence has shown that MS is closely related to the occurrence, development and prognosis of kidney cancer, among which obesity and hypertension have been identified as major risk factors for kidney cancer. This article reviews the research progress on the relationship between MS and its components and the risk, invasiveness, and prognosis of renal carcinoma, so as to provide reference for the prevention, diagnosis, treatment and prognosis of renal cancer