Wavelet frames have gained considerable popularity during the past decade, primarily due to their substantiated applications in diverse and widespread fields of science and engineering. Finding general and verifiable ...Wavelet frames have gained considerable popularity during the past decade, primarily due to their substantiated applications in diverse and widespread fields of science and engineering. Finding general and verifiable conditions which imply that the wavelet systems are wavelet frames is among the core problems in time-frequency analysis. In this article, we establish some new inequalities for wavelet frames on local fields of positive characteristic by means of the Fourier transform. As an application, an improved version of the Li-Jiang inequality for wavelet frames on local fields is obtained.展开更多
In this article, we introduce a notion of nonuniform wavelet frames on local fields of positive characteristic. Furthermore, we gave a complete characterization of tight nonuniform wavelet frames on local fields of po...In this article, we introduce a notion of nonuniform wavelet frames on local fields of positive characteristic. Furthermore, we gave a complete characterization of tight nonuniform wavelet frames on local fields of positive characteristic via Fourier transform. Our results also hold for the Cantor dyadic group and the Vilenkin groups as they are local fields of positive characteristic.展开更多
Glucose-6-phosphate dehydrogenase(G6PD),the first rate-limiting enzyme of the pentose phosphate pathway(PPP),is aberrantly activated in multiple types of human cancers,governing the progression of tumor cells as well ...Glucose-6-phosphate dehydrogenase(G6PD),the first rate-limiting enzyme of the pentose phosphate pathway(PPP),is aberrantly activated in multiple types of human cancers,governing the progression of tumor cells as well as the efficacy of anticancer therapy.Here,we discovered that cyclindependent kinase 5(CDK5)rewired glucose metabolism from glycolysis to PPP in breast cancer(BC)cells by activating G6PD to keep intracellular redox homeostasis under oxidative stress.Mechanistically,CDK5-phosphorylated G6PD at Thr-91 facilitated the assembly of inactive monomers of G6PD into active dimers.More importantly,CDK5-induced pho-G6PD was explicitly observed specifically in tumor tissues in human BC specimens.Pharmacological inhibition of CDK5 remarkably abrogated G6PD phosphorylation,attenuated tumor growth and metastasis,and synergistically sensitized BC cells to polyADP-ribose polymerase(PARP)inhibitor Olaparib,in xenograft mouse models.Collectively,our results establish the crucial role of CDK5-mediated phosphorylation of G6PD in BC growth and metastasis and provide a therapeutic regimen for BC treatment.展开更多
In this article,we introduce the notion of general multiresolution structure(GMS)in the reducing subspace over local fields.We show that the GMS is admitted by an arbitrary reducing subspace and characterize all those...In this article,we introduce the notion of general multiresolution structure(GMS)in the reducing subspace over local fields.We show that the GMS is admitted by an arbitrary reducing subspace and characterize all those GMSs which admit a pyramids decomposition.Towards the culmination,we obtain a frame-like expansion for signals in reducing subspaces in terms of GMS over local fields.展开更多
基金supported by NBHM, Department of Atomic Energy, Government of India (Grant No. 2/48(8)/2016/NBHM(R.P)/R&D II/13924)
文摘Wavelet frames have gained considerable popularity during the past decade, primarily due to their substantiated applications in diverse and widespread fields of science and engineering. Finding general and verifiable conditions which imply that the wavelet systems are wavelet frames is among the core problems in time-frequency analysis. In this article, we establish some new inequalities for wavelet frames on local fields of positive characteristic by means of the Fourier transform. As an application, an improved version of the Li-Jiang inequality for wavelet frames on local fields is obtained.
文摘In this article, we introduce a notion of nonuniform wavelet frames on local fields of positive characteristic. Furthermore, we gave a complete characterization of tight nonuniform wavelet frames on local fields of positive characteristic via Fourier transform. Our results also hold for the Cantor dyadic group and the Vilenkin groups as they are local fields of positive characteristic.
基金supported by grants from the Natural Science Foundation of Jiangsu Province(BK20222009,China)the National Natural Science Foundation of China(32341005)+1 种基金National Natural Science Foundation of China-Youth Program(32300762,China),Guangdong Basic and Applied Basic Research Foundation(2021B1515120016,China)the Key Research and the Nature Science Foundation of Jiangsu Province(BK20210027,China),and the Jiangsu Innovative and Enterpreneurial Talent Programme(JSSCBS20211488,China).
文摘Glucose-6-phosphate dehydrogenase(G6PD),the first rate-limiting enzyme of the pentose phosphate pathway(PPP),is aberrantly activated in multiple types of human cancers,governing the progression of tumor cells as well as the efficacy of anticancer therapy.Here,we discovered that cyclindependent kinase 5(CDK5)rewired glucose metabolism from glycolysis to PPP in breast cancer(BC)cells by activating G6PD to keep intracellular redox homeostasis under oxidative stress.Mechanistically,CDK5-phosphorylated G6PD at Thr-91 facilitated the assembly of inactive monomers of G6PD into active dimers.More importantly,CDK5-induced pho-G6PD was explicitly observed specifically in tumor tissues in human BC specimens.Pharmacological inhibition of CDK5 remarkably abrogated G6PD phosphorylation,attenuated tumor growth and metastasis,and synergistically sensitized BC cells to polyADP-ribose polymerase(PARP)inhibitor Olaparib,in xenograft mouse models.Collectively,our results establish the crucial role of CDK5-mediated phosphorylation of G6PD in BC growth and metastasis and provide a therapeutic regimen for BC treatment.
文摘In this article,we introduce the notion of general multiresolution structure(GMS)in the reducing subspace over local fields.We show that the GMS is admitted by an arbitrary reducing subspace and characterize all those GMSs which admit a pyramids decomposition.Towards the culmination,we obtain a frame-like expansion for signals in reducing subspaces in terms of GMS over local fields.
