Thepaper investigates the properties of the Lambert equivalent azimuthal projection,which is often used in normal aspect in atlases for maps of the northern and southern hemispheres.The field of research is theoretica...Thepaper investigates the properties of the Lambert equivalent azimuthal projection,which is often used in normal aspect in atlases for maps of the northern and southern hemispheres.The field of research is theoretical in nature and assumes a mastery of mathematics because it deals with map projections.The transverse aspect is commonly used for eastern and western hemisphere atlas maps.In addition,the Hammer projection was created fromthe transverse aspect of that projection.Therefore,if we want to get to know the Hammer projection better,we must first investigate the Lambert equivalent azimuthal projection in detail.While investigating this projection,it was observed that the equations of the transverse aspect can be represented in several ways.After that,it was necessary to determine the most suitable form of the equations of that projection for the calculation of partial derivatives,which are necessary for determining distortions.The article presents the distribution of factors of local linear scales along the(pseudo)meridians and(pseudo)parallels,and found that in the Lambert equivalent azimuthal projection,there can exist only one point where the distortion is equal to zero.The general case of a normal and transverse Lambert equivalent azimuthal projection has not been observed so far,and that is the new contribution of this article.展开更多
Background:Prostate cancer(PCa)is the most prevalent malignancy in men and often correlates with distant metastasis in its advanced stages.The study aimed to investigate the effects of Ugonin J,a natural compound isol...Background:Prostate cancer(PCa)is the most prevalent malignancy in men and often correlates with distant metastasis in its advanced stages.The study aimed to investigate the effects of Ugonin J,a natural compound isolated from Helminthostachys zeylanica,on PCa metastasis.Methods:The effects of Ugonin J on cell motility were assessed using migration and invasion assays.Reverse Transcription Quantitative PCR(RT-qPCR)and Western blotting were used to evaluate the impact of Ugonin J on mRNA and protein expression.RNA sequencing(RNA-seq)analysis was performed to investigate candidate mechanisms.Differential gene expression analysis in PCa patients was conducted using multiple databases.Results:Here,we reveal that Ugonin J blocks migration and invasion in PCa cells without affecting cell viability.RNA-seq analysis suggests that epithelial-mesenchymal transition(EMT)is potentially involved in Ugonin J’s anti-motility effects.Ugonin J also suppresses the expression of mesenchymal markers N-cadherin,β-catenin,Snail,and Slug while upregulating the expression of the epithelial marker E-cadherin.Furthermore,among 13 A disintegrin and metalloproteinase(ADAM)proteins,A disintegrin and metalloproteinase domain-containing protein 9(ADAM9)is the most downregulated following Ugonin J treatment,according to our RNA-seq data.Importantly,clinical data revealed that ADAM9 expression are higher in PCa patients than in healthy controls and are associated with distant metastasis.Transfection with ADAM9 cDNA reverses Ugonin J-regulated downregulation of EMT,migration,and invasion in PCa cells.Ugonin J inhibits ADAM9-dependent motility by downregulating the phosphoinositide 3-kinase(PI3K),protein kinase B(Akt)and nuclear factor-κB(NF-κB)pathways.Conclusions:Our evidence suggests that Ugonin J is a novel therapeutic candidate for further development as a treatment for metastatic PCa.展开更多
文摘Thepaper investigates the properties of the Lambert equivalent azimuthal projection,which is often used in normal aspect in atlases for maps of the northern and southern hemispheres.The field of research is theoretical in nature and assumes a mastery of mathematics because it deals with map projections.The transverse aspect is commonly used for eastern and western hemisphere atlas maps.In addition,the Hammer projection was created fromthe transverse aspect of that projection.Therefore,if we want to get to know the Hammer projection better,we must first investigate the Lambert equivalent azimuthal projection in detail.While investigating this projection,it was observed that the equations of the transverse aspect can be represented in several ways.After that,it was necessary to determine the most suitable form of the equations of that projection for the calculation of partial derivatives,which are necessary for determining distortions.The article presents the distribution of factors of local linear scales along the(pseudo)meridians and(pseudo)parallels,and found that in the Lambert equivalent azimuthal projection,there can exist only one point where the distortion is equal to zero.The general case of a normal and transverse Lambert equivalent azimuthal projection has not been observed so far,and that is the new contribution of this article.
基金supported by the National Science and Technology Council(NSTC 113-2320-B-039-049-MY3 and NSTC 114-2314-B-039-051-MY3)China Medical University(CMU113-ASIA-05,CMU-114-ASIA-01).
文摘Background:Prostate cancer(PCa)is the most prevalent malignancy in men and often correlates with distant metastasis in its advanced stages.The study aimed to investigate the effects of Ugonin J,a natural compound isolated from Helminthostachys zeylanica,on PCa metastasis.Methods:The effects of Ugonin J on cell motility were assessed using migration and invasion assays.Reverse Transcription Quantitative PCR(RT-qPCR)and Western blotting were used to evaluate the impact of Ugonin J on mRNA and protein expression.RNA sequencing(RNA-seq)analysis was performed to investigate candidate mechanisms.Differential gene expression analysis in PCa patients was conducted using multiple databases.Results:Here,we reveal that Ugonin J blocks migration and invasion in PCa cells without affecting cell viability.RNA-seq analysis suggests that epithelial-mesenchymal transition(EMT)is potentially involved in Ugonin J’s anti-motility effects.Ugonin J also suppresses the expression of mesenchymal markers N-cadherin,β-catenin,Snail,and Slug while upregulating the expression of the epithelial marker E-cadherin.Furthermore,among 13 A disintegrin and metalloproteinase(ADAM)proteins,A disintegrin and metalloproteinase domain-containing protein 9(ADAM9)is the most downregulated following Ugonin J treatment,according to our RNA-seq data.Importantly,clinical data revealed that ADAM9 expression are higher in PCa patients than in healthy controls and are associated with distant metastasis.Transfection with ADAM9 cDNA reverses Ugonin J-regulated downregulation of EMT,migration,and invasion in PCa cells.Ugonin J inhibits ADAM9-dependent motility by downregulating the phosphoinositide 3-kinase(PI3K),protein kinase B(Akt)and nuclear factor-κB(NF-κB)pathways.Conclusions:Our evidence suggests that Ugonin J is a novel therapeutic candidate for further development as a treatment for metastatic PCa.