Let (R, m) be a commutative Noetherian local ring, I an ideal of R and M a finitely generated R-module. Let limnHm^i(M/I^nM)be the ith formal local cohomology module of M with respect to I.In this paper, we discus...Let (R, m) be a commutative Noetherian local ring, I an ideal of R and M a finitely generated R-module. Let limnHm^i(M/I^nM)be the ith formal local cohomology module of M with respect to I.In this paper, we discuss some properties of formal local cohomology modules limnHm^i(M/I^nM),which are analogous to the finiteness and Artinianness of local cohomology modules of a finitely generated module.展开更多
Let R be a commutative Noetherian ring, I and J be two ideals of R, and M be an R-module. We study the cofiniteness and finiteness of the local cohomology module HiI,J(M) and give some conditions for the finiteness ...Let R be a commutative Noetherian ring, I and J be two ideals of R, and M be an R-module. We study the cofiniteness and finiteness of the local cohomology module HiI,J(M) and give some conditions for the finiteness of HomR(R/I, HsI,J(M)) and Ext1R(R/I, HsI,J(M)). Also, we get some results on the attached primes of HdimMI,J (M).展开更多
In this paper, let (R, m) be a Noetherian local ring, I lohtain in R an ideal, M and N be two finitely generated modules. Firstly, we study the properties of HI^t(M), t = f-depth(I, M) and discuss the relationsh...In this paper, let (R, m) be a Noetherian local ring, I lohtain in R an ideal, M and N be two finitely generated modules. Firstly, we study the properties of HI^t(M), t = f-depth(I, M) and discuss the relationship between the Artinianness of HI^i(M, N) and the Artinianness of HI^i(N). Then, we get that HI^d(M, N) is I-cofinite, if (R, m) is a d-dimensional Gorenstein local ring.展开更多
Optical microscopy is an essential tool for exploring the structures and activities of cells and tissues.To break the limit of resolution caused by diffraction,researchers have made continuous advances and innovations...Optical microscopy is an essential tool for exploring the structures and activities of cells and tissues.To break the limit of resolution caused by diffraction,researchers have made continuous advances and innovations to improve the resolution of optical microscopy since the 1990s.These contributions,however,still make sub-10nm imaging an obstacle.Here,we name a series of technologies as modulated illumination localization microscopy(MILM),which makes ultra-high-resolution imaging practical.Besides,we review the recent progress since 2017 when MINFLUX was proposed and became the inspiration and foundation for the follow-up devel-opment of MILM.This review divides MILM into two types:point-scanning and wide-field.The schematics,principles and future research directions of MILM are discussed elaborately.展开更多
Background:To protect neurological tissues,underdosing occurs in most cases of T4 nasopharyngeal carcinoma(NPC) with intracranial extension.In this study,we aimed to evaluate the effect of dosimetric inadequacy on loc...Background:To protect neurological tissues,underdosing occurs in most cases of T4 nasopharyngeal carcinoma(NPC) with intracranial extension.In this study,we aimed to evaluate the effect of dosimetric inadequacy on local control and late neurological toxicities for patients treated with intensity-modulated radiotherapy(IMRT) plus chemotherapy.Methods:We prospectively enrolled patients who had non-metastaticT4 NPC with intracranial extension treated between January 2009 and November 2013.The prescribed dose was 66.0-70.4 Gy to the primary planning target volume(primary gross tumor volume [GTVp;i.e.,the nasopharyngeal tumor] +5.0 mm).Dose-volume histogram parameters were calculated,including minimum point dose(D_(min)) and dose to 95% of the target volume(D95).All patients received chemotherapy with the cisplatin,5-fluorouracil,and docetaxel regimen.Survivals were estimated using the Kaplan-Meier method and compared using the log-rank test.Results:In total,41 patients were enrolled.The local partial response rate was 87.8% after induction chemotherapy.With a median follow-up of 51 months,7 patients experienced failure in the nasopharynx;the 3-year local failure-free survival and overall survival rates of the 41 patients were 87.4% and 90.2%,respectively.The actual mean D_(min) to the GTVp was 55.2 Gy(range 48.3-67.3 Gy),and D95 was 61.6 Gy(range 52.6-69.0 Gy).All doses received by neurological organs remained well within their dose constraints.No patients developed temporal lobe necrosis or other neurological dysfunctions.Conclusions:With relative underdosed IMRT plus effective chemotherapy,the patients achieved satisfactory local control with few late toxicities of the central nervous system.Determining the acceptable extent of dosimetric inadequacy requires further exploration.展开更多
We report a theoretical work on the properties of modulational instability and bright type nonlinear localized modes in one-dimensional easy-axis weak ferromagnetic spin lattices involving next-nearest-neighbor coupli...We report a theoretical work on the properties of modulational instability and bright type nonlinear localized modes in one-dimensional easy-axis weak ferromagnetic spin lattices involving next-nearest-neighbor couplings.With a linear stability analysis, we calculate the growth rates of the modulational instability, and plot the instability regions.When the strength of the next-nearest-neighbor coupling is large enough, two new asymmetric modulational instability regions appear near the boundary of the first Brillouin zone.Furthermore, analytical forms of the bright nonlinear localized modes are constructed by means of a quasi-discreteness approach.The influence of the next-nearest-neighbor coupling on the Brillouin zone center mode and boundary mode are discussed.In particular, we discover a reversal phenomenon of the propagation direction of the Brillouin zone boundary mode.展开更多
Let R be a commutative Noetherian ring and p be a prime ideal of R such that the ideal pRp is principal and ht(p)≠0. In this note, the anthors describe the explicit structure of the injective envelope of the R-module...Let R be a commutative Noetherian ring and p be a prime ideal of R such that the ideal pRp is principal and ht(p)≠0. In this note, the anthors describe the explicit structure of the injective envelope of the R-module R/p.展开更多
In this paper, the module coradical is introduced. From this, we show that any Hopf module coalgebra which is local finite can be uniquely decomposed into a direct sum of its indecomposable components. This result is ...In this paper, the module coradical is introduced. From this, we show that any Hopf module coalgebra which is local finite can be uniquely decomposed into a direct sum of its indecomposable components. This result is a generalization of the decompostion theorem of coalgebra.展开更多
Objective: To investigate the effects of intensity modulated radiation therapy + local hyperthermia on the cancer cell apoptosis and invasion in liver cancer lesion. Methods:A total of 94 patients with middle-advanced...Objective: To investigate the effects of intensity modulated radiation therapy + local hyperthermia on the cancer cell apoptosis and invasion in liver cancer lesion. Methods:A total of 94 patients with middle-advanced primary liver cancer who were diagnosed and treated in this hospital between November 2015 and February 2017 were divided into control group (n=47) and experimental group (n=47) by random number table method. Control group received intensity modulated radiation therapy and experimental group received intensity modulated radiation therapy + local hyperthermia. Both groups accepted peritoneal lesion biopsy before and after treatment, and the expression of apoptosis and invasion genes in specimen tissue were detected by fluorescence quantitative PCR. Results: There was no statistically significant difference in apoptosis and invasion gene expression between the two groups of patients before treatment. After treatment, apoptosis genes Fas, caspase-3, Bax and p53 mRNA expression in lesion tissue of experimental group were higher than those of control group whereas FasL and Bcl-2 mRNA expression were lower than those of control group;invasion genes Cofilin-1, Bmi-1, STAT3 and SOX18 mRNA expression in lesion tissue of experimental group were lower than those of control group whereas Tip30 and TP53IP1 mRNA expression were higher than those of control group. Conclusion: intensity modulated radiation therapy + local hyperthermia can effectively promote cancer cell apoptosis and inhibit its invasion activity in patients with middle and advanced primary liver cancer.展开更多
Indoor localization methods can help many sectors,such as healthcare centers,smart homes,museums,warehouses,and retail malls,improve their service areas.As a result,it is crucial to look for low-cost methods that can ...Indoor localization methods can help many sectors,such as healthcare centers,smart homes,museums,warehouses,and retail malls,improve their service areas.As a result,it is crucial to look for low-cost methods that can provide exact localization in indoor locations.In this context,imagebased localization methods can play an important role in estimating both the position and the orientation of cameras regarding an object.Image-based localization faces many issues,such as image scale and rotation variance.Also,image-based localization’s accuracy and speed(latency)are two critical factors.This paper proposes an efficient 6-DoF deep-learning model for image-based localization.This model incorporates the channel attention module and the Scale PyramidModule(SPM).It not only enhances accuracy but also ensures the model’s real-time performance.In complex scenes,a channel attention module is employed to distinguish between the textures of the foregrounds and backgrounds.Our model adapted an SPM,a feature pyramid module for dealing with image scale and rotation variance issues.Furthermore,the proposed model employs two regressions(two fully connected layers),one for position and the other for orientation,which increases outcome accuracy.Experiments on standard indoor and outdoor datasets show that the proposed model has a significantly lower Mean Squared Error(MSE)for both position and orientation.On the indoor 7-Scenes dataset,the MSE for the position is reduced to 0.19 m and 6.25°for the orientation.Furthermore,on the outdoor Cambridge landmarks dataset,the MSE for the position is reduced to 0.63 m and 2.03°for the orientation.According to the findings,the proposed approach is superior and more successful than the baseline methods.展开更多
Intensity-modulated radiation therapy (IMRT) has become the mainstay of treatment for localized prostate cancer. In IMRT, minimizing differences between the conditions used during planning CT and daily treatment is im...Intensity-modulated radiation therapy (IMRT) has become the mainstay of treatment for localized prostate cancer. In IMRT, minimizing differences between the conditions used during planning CT and daily treatment is important to prevent adverse events in normal tissues. In the present study, we evaluated the impact of variation in bladder volume on the doses to various organs. A total of 35 patients underwent definitive radiotherapy at Saitama Medical Center. A Light Speed RT16 (GE Healthcare) was used for planning and to obtain examination CT images. Such images were acquired after 4 - 6 days of planning CT image acquisition. The IMRT plans were optimized using the planning CT data to satisfy the dose constraints set by our in-house protocols for the PTV and the OARs. The dose distributions were then re-calculated using the same IMRT beams, and checked on examination CT images. It was clear that bladder volume affected the doses to certain organs. We focused on the prostate, bladder, rectum, small bowel, and large bowel. Regression coefficients were calculated for variables that correlated strongly with bladder volume (p < 0.05). We found that variation in bladder volume [cm<sup>3</sup>] predicted deviations in the bladder V<sub>70Gy</sub>, V<sub>50Gy</sub>, and V<sub>30Gy</sub> [%];the maximum dose to the small bowel [cGy];and the maximum dose to the large bowel [cGy]. The regression coefficients were -0.065, -0.125, -0.180, -10.22, and -9.831, respectively. We evaluated the impacts of such variation on organ doses. These may be helpful when checking a patient’s bladder volume before daily IMRT for localized prostate cancer.展开更多
基金The NSF (10771152,10926094) of Chinathe NSF (09KJB110006) for Colleges and Universities in Jiangsu Provincethe Research Foundation (Q4107805) of Soochow University and the Research Foundation (Q3107852) of Pre-research Project of Soochow University
文摘Let (R, m) be a commutative Noetherian local ring, I an ideal of R and M a finitely generated R-module. Let limnHm^i(M/I^nM)be the ith formal local cohomology module of M with respect to I.In this paper, we discuss some properties of formal local cohomology modules limnHm^i(M/I^nM),which are analogous to the finiteness and Artinianness of local cohomology modules of a finitely generated module.
基金The NSF(BK2011276) of Jiangsu Provincethe NSF(10KJB110007,11KJB110011) for Colleges and Universities in Jiangsu Provincethe Research Foundation(Q3107803) of Pre-research Project of Soochow University
文摘Let R be a commutative Noetherian ring, I and J be two ideals of R, and M be an R-module. We study the cofiniteness and finiteness of the local cohomology module HiI,J(M) and give some conditions for the finiteness of HomR(R/I, HsI,J(M)) and Ext1R(R/I, HsI,J(M)). Also, we get some results on the attached primes of HdimMI,J (M).
文摘In this paper, let (R, m) be a Noetherian local ring, I lohtain in R an ideal, M and N be two finitely generated modules. Firstly, we study the properties of HI^t(M), t = f-depth(I, M) and discuss the relationship between the Artinianness of HI^i(M, N) and the Artinianness of HI^i(N). Then, we get that HI^d(M, N) is I-cofinite, if (R, m) is a d-dimensional Gorenstein local ring.
基金This work was financially sponsored by National Natural Science Foundation of China(61735017,61827825)Major Program of the Natural Science Foundation of Zhejiang Province(LD21F050002)+1 种基金Key Research and Development Program of Zhejiang Province(2020C01116)Fundamental Research Funds for the Central Universities(K20200132),Zhejiang Lab(2020MC0AE01)and Zhejiang Provincial Ten Thousand Plan for Young Top Talents(2020R52001).Y.S.and L.Y.contributed equally to this work.
文摘Optical microscopy is an essential tool for exploring the structures and activities of cells and tissues.To break the limit of resolution caused by diffraction,researchers have made continuous advances and innovations to improve the resolution of optical microscopy since the 1990s.These contributions,however,still make sub-10nm imaging an obstacle.Here,we name a series of technologies as modulated illumination localization microscopy(MILM),which makes ultra-high-resolution imaging practical.Besides,we review the recent progress since 2017 when MINFLUX was proposed and became the inspiration and foundation for the follow-up devel-opment of MILM.This review divides MILM into two types:point-scanning and wide-field.The schematics,principles and future research directions of MILM are discussed elaborately.
基金support of the Department of Radiation Oncology,Fudan University Shanghai Cancer Centersupported by Science and Technology Commission of Shanghai Municipality(14411962400)
文摘Background:To protect neurological tissues,underdosing occurs in most cases of T4 nasopharyngeal carcinoma(NPC) with intracranial extension.In this study,we aimed to evaluate the effect of dosimetric inadequacy on local control and late neurological toxicities for patients treated with intensity-modulated radiotherapy(IMRT) plus chemotherapy.Methods:We prospectively enrolled patients who had non-metastaticT4 NPC with intracranial extension treated between January 2009 and November 2013.The prescribed dose was 66.0-70.4 Gy to the primary planning target volume(primary gross tumor volume [GTVp;i.e.,the nasopharyngeal tumor] +5.0 mm).Dose-volume histogram parameters were calculated,including minimum point dose(D_(min)) and dose to 95% of the target volume(D95).All patients received chemotherapy with the cisplatin,5-fluorouracil,and docetaxel regimen.Survivals were estimated using the Kaplan-Meier method and compared using the log-rank test.Results:In total,41 patients were enrolled.The local partial response rate was 87.8% after induction chemotherapy.With a median follow-up of 51 months,7 patients experienced failure in the nasopharynx;the 3-year local failure-free survival and overall survival rates of the 41 patients were 87.4% and 90.2%,respectively.The actual mean D_(min) to the GTVp was 55.2 Gy(range 48.3-67.3 Gy),and D95 was 61.6 Gy(range 52.6-69.0 Gy).All doses received by neurological organs remained well within their dose constraints.No patients developed temporal lobe necrosis or other neurological dysfunctions.Conclusions:With relative underdosed IMRT plus effective chemotherapy,the patients achieved satisfactory local control with few late toxicities of the central nervous system.Determining the acceptable extent of dosimetric inadequacy requires further exploration.
基金Project supported by the National Natural Science Foundation of China(Grant Nos.11604121 and 11875126)the Natural Science Fund Project of Hunan Province,China(Grant No.2017JJ3255)+1 种基金the National College Students’ Innovation Entrepreneurship Training Program,China(Grant No.201810531014)the Scientific Research Fund of Hunan Provincial Education Department,China(Grant No.17B212)
文摘We report a theoretical work on the properties of modulational instability and bright type nonlinear localized modes in one-dimensional easy-axis weak ferromagnetic spin lattices involving next-nearest-neighbor couplings.With a linear stability analysis, we calculate the growth rates of the modulational instability, and plot the instability regions.When the strength of the next-nearest-neighbor coupling is large enough, two new asymmetric modulational instability regions appear near the boundary of the first Brillouin zone.Furthermore, analytical forms of the bright nonlinear localized modes are constructed by means of a quasi-discreteness approach.The influence of the next-nearest-neighbor coupling on the Brillouin zone center mode and boundary mode are discussed.In particular, we discover a reversal phenomenon of the propagation direction of the Brillouin zone boundary mode.
基金This research is in part supported by a grant from IPM.
文摘Let R be a commutative Noetherian ring and p be a prime ideal of R such that the ideal pRp is principal and ht(p)≠0. In this note, the anthors describe the explicit structure of the injective envelope of the R-module R/p.
文摘In this paper, the module coradical is introduced. From this, we show that any Hopf module coalgebra which is local finite can be uniquely decomposed into a direct sum of its indecomposable components. This result is a generalization of the decompostion theorem of coalgebra.
文摘Objective: To investigate the effects of intensity modulated radiation therapy + local hyperthermia on the cancer cell apoptosis and invasion in liver cancer lesion. Methods:A total of 94 patients with middle-advanced primary liver cancer who were diagnosed and treated in this hospital between November 2015 and February 2017 were divided into control group (n=47) and experimental group (n=47) by random number table method. Control group received intensity modulated radiation therapy and experimental group received intensity modulated radiation therapy + local hyperthermia. Both groups accepted peritoneal lesion biopsy before and after treatment, and the expression of apoptosis and invasion genes in specimen tissue were detected by fluorescence quantitative PCR. Results: There was no statistically significant difference in apoptosis and invasion gene expression between the two groups of patients before treatment. After treatment, apoptosis genes Fas, caspase-3, Bax and p53 mRNA expression in lesion tissue of experimental group were higher than those of control group whereas FasL and Bcl-2 mRNA expression were lower than those of control group;invasion genes Cofilin-1, Bmi-1, STAT3 and SOX18 mRNA expression in lesion tissue of experimental group were lower than those of control group whereas Tip30 and TP53IP1 mRNA expression were higher than those of control group. Conclusion: intensity modulated radiation therapy + local hyperthermia can effectively promote cancer cell apoptosis and inhibit its invasion activity in patients with middle and advanced primary liver cancer.
基金This work was funded by the Deanship of Scientific Research at Jouf University under grant No(DSR-2021-02-0379).
文摘Indoor localization methods can help many sectors,such as healthcare centers,smart homes,museums,warehouses,and retail malls,improve their service areas.As a result,it is crucial to look for low-cost methods that can provide exact localization in indoor locations.In this context,imagebased localization methods can play an important role in estimating both the position and the orientation of cameras regarding an object.Image-based localization faces many issues,such as image scale and rotation variance.Also,image-based localization’s accuracy and speed(latency)are two critical factors.This paper proposes an efficient 6-DoF deep-learning model for image-based localization.This model incorporates the channel attention module and the Scale PyramidModule(SPM).It not only enhances accuracy but also ensures the model’s real-time performance.In complex scenes,a channel attention module is employed to distinguish between the textures of the foregrounds and backgrounds.Our model adapted an SPM,a feature pyramid module for dealing with image scale and rotation variance issues.Furthermore,the proposed model employs two regressions(two fully connected layers),one for position and the other for orientation,which increases outcome accuracy.Experiments on standard indoor and outdoor datasets show that the proposed model has a significantly lower Mean Squared Error(MSE)for both position and orientation.On the indoor 7-Scenes dataset,the MSE for the position is reduced to 0.19 m and 6.25°for the orientation.Furthermore,on the outdoor Cambridge landmarks dataset,the MSE for the position is reduced to 0.63 m and 2.03°for the orientation.According to the findings,the proposed approach is superior and more successful than the baseline methods.
文摘Intensity-modulated radiation therapy (IMRT) has become the mainstay of treatment for localized prostate cancer. In IMRT, minimizing differences between the conditions used during planning CT and daily treatment is important to prevent adverse events in normal tissues. In the present study, we evaluated the impact of variation in bladder volume on the doses to various organs. A total of 35 patients underwent definitive radiotherapy at Saitama Medical Center. A Light Speed RT16 (GE Healthcare) was used for planning and to obtain examination CT images. Such images were acquired after 4 - 6 days of planning CT image acquisition. The IMRT plans were optimized using the planning CT data to satisfy the dose constraints set by our in-house protocols for the PTV and the OARs. The dose distributions were then re-calculated using the same IMRT beams, and checked on examination CT images. It was clear that bladder volume affected the doses to certain organs. We focused on the prostate, bladder, rectum, small bowel, and large bowel. Regression coefficients were calculated for variables that correlated strongly with bladder volume (p < 0.05). We found that variation in bladder volume [cm<sup>3</sup>] predicted deviations in the bladder V<sub>70Gy</sub>, V<sub>50Gy</sub>, and V<sub>30Gy</sub> [%];the maximum dose to the small bowel [cGy];and the maximum dose to the large bowel [cGy]. The regression coefficients were -0.065, -0.125, -0.180, -10.22, and -9.831, respectively. We evaluated the impacts of such variation on organ doses. These may be helpful when checking a patient’s bladder volume before daily IMRT for localized prostate cancer.