The purpose of this paper is to extend the cohomology and conformal derivation theories of the classical Lie conformal algebras to Hom-Lie conformal algebras. In this paper, we develop cohomology theory of Hom-Lie con...The purpose of this paper is to extend the cohomology and conformal derivation theories of the classical Lie conformal algebras to Hom-Lie conformal algebras. In this paper, we develop cohomology theory of Hom-Lie conformal algebras and discuss some applications to the study of deformations of regular Hom-Lie conformal algebras. Also, we introduce α~k-derivations of multiplicative Hom-Lie conformal algebras and study their properties.展开更多
Parkinson＇s disease （PD） is the second most common neurodegenerative disorder and has an elusive etiology. It is likely multifactorial, and genetic defects contribute to its pathogenesis. At least 25 genetic loci a...Parkinson＇s disease （PD） is the second most common neurodegenerative disorder and has an elusive etiology. It is likely multifactorial, and genetic defects contribute to its pathogenesis. At least 25 genetic loci and 20 monogenic genes have been identified in monogenic PD. Recessive F-box protein 7 gene （FBX07） mutations reportedly cause hereditary parkinsonism. To explore the roles of four paralogs （FBX02, FBX06, FBX012, and FBX041） in PD development, their variants （rs9614, rs28924120, rs6442117, and rs61733550, respectively） were analyzed in 502 Han Chinese patients with PD and 556 age, gender, and ethnicity-matched normal participants in China's Mainland. Statistically significant differences in genotypic and allelic frequencies were detected only in the FBX02 variant rs9614 （P = 0.001 and 0.023, respectively; odds ratio 0.819, 95% confidence interval 0.690-0.973） between patients and controls. These results suggest that the FBX02 variant rs9614 C allele may decrease the PD risk in mainland Han Chinese and may be a biomarker for PD.展开更多
We study conformal biderivations of a Lie conformal algebra.First,we give the definition of a conformal biderivation.Next,we determine the conformal biderivations of loop W(a,b)Lie conformal algebra,loop Virasoro Lie ...We study conformal biderivations of a Lie conformal algebra.First,we give the definition of a conformal biderivation.Next,we determine the conformal biderivations of loop W(a,b)Lie conformal algebra,loop Virasoro Lie conformal algebra,and Virasoro Lie conformal algebra.Especially,all conformal biderivations on Virasoro Lie conformal algebra are inner conformal biderivations.展开更多
Coronavirus disease 2019(COVID-19)caused by a novel coronavirus,severe acute respiratory syndrome coronavirus 2(SARS-CoV-2),has resulted in considerable morbidity and mortality worldwide.COVID-19 incidence,severity,an...Coronavirus disease 2019(COVID-19)caused by a novel coronavirus,severe acute respiratory syndrome coronavirus 2(SARS-CoV-2),has resulted in considerable morbidity and mortality worldwide.COVID-19 incidence,severity,and mortality rates differ greatly between populations,genders,ABO blood groups,human leukocyte antigen(HLA)genotypes,ethnic groups,and geographic backgrounds.This highly heterogeneous SARS-CoV-2 infection is multifactorial.Host genetic factors such as variants in the angiotensin-converting enzyme gene(ACE),the angiotensin-converting enzyme 2 gene(ACE2),the transmembrane protease serine 2 gene(TMPRSS2),along with HLA genotype,and ABO blood group help to explain individual susceptibility,severity,and outcomes of COVID-19.This review is focused on COVID-19 clinical and viral characteristics,pathogenesis,and genetic findings,with particular attention on genetic diversity and variants.The human genetic basis could provide scientific bases for disease prediction and targeted therapy to address the COVID-19 scourge.展开更多
基金supported by National Natural Science Foundation of China (Grant Nos. 11171055, 11471090 and 11301109)Natural Science Foundation of Jilin Province (Grant No. 20170101048JC)
文摘The purpose of this paper is to extend the cohomology and conformal derivation theories of the classical Lie conformal algebras to Hom-Lie conformal algebras. In this paper, we develop cohomology theory of Hom-Lie conformal algebras and discuss some applications to the study of deformations of regular Hom-Lie conformal algebras. Also, we introduce α~k-derivations of multiplicative Hom-Lie conformal algebras and study their properties.
基金supported by the National Key Research and Development Program of China (2016YFC1306604)the National Basic Research Development Program of China (2014CB542400)+5 种基金the National Natural Science Foundation of China (81271921 and 81670216)the Natural Science Foundation of Hunan Province, China (2015JJ4088 and 2016JJ2166)the Construction Fund for Key Subjects of the Third Xiangya Hospital of Central South University (Clinical Laboratory Diagnostics)the New Xiangya Talent Project of the Third Xiangya Hospital of Central South University (20150301)Mittal Students' Innovative Project of Central South University (15MX50 and 15MX53)the National-level College Students' Innovative Training Plan Program of China (201610533288, 201610533290 and 201610533292)
文摘Parkinson＇s disease （PD） is the second most common neurodegenerative disorder and has an elusive etiology. It is likely multifactorial, and genetic defects contribute to its pathogenesis. At least 25 genetic loci and 20 monogenic genes have been identified in monogenic PD. Recessive F-box protein 7 gene （FBX07） mutations reportedly cause hereditary parkinsonism. To explore the roles of four paralogs （FBX02, FBX06, FBX012, and FBX041） in PD development, their variants （rs9614, rs28924120, rs6442117, and rs61733550, respectively） were analyzed in 502 Han Chinese patients with PD and 556 age, gender, and ethnicity-matched normal participants in China's Mainland. Statistically significant differences in genotypic and allelic frequencies were detected only in the FBX02 variant rs9614 （P = 0.001 and 0.023, respectively; odds ratio 0.819, 95% confidence interval 0.690-0.973） between patients and controls. These results suggest that the FBX02 variant rs9614 C allele may decrease the PD risk in mainland Han Chinese and may be a biomarker for PD.
基金supported by the National Natural Science Foundation of China(Grant Nos.11771069,12071405,11301109)China Postdoctoral Science Foundation(2020M682272)the Natural Science Foundation of Hennan Province(212300410120).
文摘We study conformal biderivations of a Lie conformal algebra.First,we give the definition of a conformal biderivation.Next,we determine the conformal biderivations of loop W(a,b)Lie conformal algebra,loop Virasoro Lie conformal algebra,and Virasoro Lie conformal algebra.Especially,all conformal biderivations on Virasoro Lie conformal algebra are inner conformal biderivations.
基金supported by the Special Emergency Project for Novel Coronavirus Pneumonia from the Science and Technology Department of Hunan Province(2020SK3032).
文摘Coronavirus disease 2019(COVID-19)caused by a novel coronavirus,severe acute respiratory syndrome coronavirus 2(SARS-CoV-2),has resulted in considerable morbidity and mortality worldwide.COVID-19 incidence,severity,and mortality rates differ greatly between populations,genders,ABO blood groups,human leukocyte antigen(HLA)genotypes,ethnic groups,and geographic backgrounds.This highly heterogeneous SARS-CoV-2 infection is multifactorial.Host genetic factors such as variants in the angiotensin-converting enzyme gene(ACE),the angiotensin-converting enzyme 2 gene(ACE2),the transmembrane protease serine 2 gene(TMPRSS2),along with HLA genotype,and ABO blood group help to explain individual susceptibility,severity,and outcomes of COVID-19.This review is focused on COVID-19 clinical and viral characteristics,pathogenesis,and genetic findings,with particular attention on genetic diversity and variants.The human genetic basis could provide scientific bases for disease prediction and targeted therapy to address the COVID-19 scourge.
