We develop a covariant kinetic theory for massive fermions in curved spacetime and external electromagnetic field based on quantum field theory. We derive four coupled semi-classical kinetic equations accurate at O( ), which describe the transports of particle number and spin degrees of freedom. The relation with the chiral kinetic theory is discussed. As an application, we study the spin polarization in the presence of finite Riemann curvature and electromagnetic field in both local and global equilibrium states.
BackgroundCarcinoma of the axillary tail of Spence (CATS) is a poorly studied type of breast cancer. The clinicopathological characteristics and prognostic features of CATS are unclear.MethodsUsing the Surveillance, Epidemiology, and End Results database, we identified 149,026 patients diagnosed with upper outer quadrant breast cancer (UOBC) (n=146,343) or CATS (n=2,683). The median follow-up was 88 months. The primary and secondary outcomes were breast cancer-specific survival (BCSS) and overall survival. The survival outcomes of UOBC and CATS were compared using competing risks analysis, log-rank test, Cox proportional hazards regression model, and propensity score matching method. Multivariate logistic regression was utilized to present the relationship between CATS and lymph node (LN) metastasis.ResultsCATS presented a higher grade, higher negative hormone receptor rate, and more positive nodal metastasis. The 10-year BCSS rate was worse for CATS than for UOBC (85.1% vs 87.3%, P=0.001). The multivariate Cox analysis showed a higher hazard ratio (HR) for CATS over UOBC (BCSS: HR =1.20, P=0.001; overall survival: HR =1.11, P=0.019). The difference in the BCSS was also observed in a 1:1 matched cohort (BCSS P=0.019). A subgroup analysis revealed the inferior outcomes of CATS in the metastatic LN subgroup and the hormone receptor-negative subgroup. The multivariate logistic regression indicated that CATS is an independent contributing factor to LN metastasis.ConclusionCATS had distinct clinicopathological characteristics and was more likely associated with LN metastasis. Compared to UOBC, CATS had adverse impacts on BCSS.
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