In this paper, we give the concepts of the base and subbase in I-fuzzy topological spaces, and use them to score continuous mapping and open mapping. We also study the base and subbase in the product space of I-fuzzy ...In this paper, we give the concepts of the base and subbase in I-fuzzy topological spaces, and use them to score continuous mapping and open mapping. We also study the base and subbase in the product space of I-fuzzy topological spaces.展开更多
In this paper we discuss the global optimality of vector lengths for lattice bases. By introducing a partial order on lattice bases and the concept of successive minimal basis （SMB for short）, we show that any of it...In this paper we discuss the global optimality of vector lengths for lattice bases. By introducing a partial order on lattice bases and the concept of successive minimal basis （SMB for short）, we show that any of its minimal elements is a general greedy-reduced basis, and its least element （if exists） is an SMB. Furthermore, we prove the existence of SMB for lattices of dimension up to 6.展开更多
In tropical areas,palm oil production generates significant amounts of waste,including palm kernel shells.The use of this waste in the civil engineering sector,presents a very challenging task.In the present study,the...In tropical areas,palm oil production generates significant amounts of waste,including palm kernel shells.The use of this waste in the civil engineering sector,presents a very challenging task.In the present study,the production of lateritic soil(A-2 in GTR classification and A-7-6(9)in HRB classification)reinforced with palm kernel shells is considered.In order to improve their performances,these materials are mixed using the Fuller’s parabolic law.Moreover,experimental tests are used to characterize the physical and mechanical geotechnical properties of the lateritic soil.After characterizing the matrix(i.e.,lateritic soil)and the inclusions(i.e.,palm kernel shells)in their natural state,it is found that Avrankou’s lateritic soil has a high level of fine particles(56.6%),high plasticity(PI=21%)and low lift(ICBR=17%);which makes it unusable in the pavement layer.Results also prove that the mixture composed of 39%of lateritic soil volume and 61%of PKS with a CBR index equals to 30 and the mixture composed of 45%of lateritic soil,40%PKS and 15%of lagoon sand with a CBR index equals to 41 can be used as sub-base layer for roads for low and medium traffic,respectively.展开更多
AIM: To characterize changes in the cornea nerve and pain responses in fungal keratitis(FK).METHODS: A retrospective analysis of in vivo confocal microscopy images of 11 FK corneas was performed, and the results were ...AIM: To characterize changes in the cornea nerve and pain responses in fungal keratitis(FK).METHODS: A retrospective analysis of in vivo confocal microscopy images of 11 FK corneas was performed, and the results were compared with those for 11 normal corneas. Subbasal corneal nerves were analyzed for total nerve number, main nerve trunk number, branching patterns and tortuosity. C57 BL/6 mice were infected with Aspergillus fumigatus. Disease severity was determined through clinical scoring and slit lamp photography. Corneas were harvested at 1, 3, 5, and 7 d post infection(p.i.) and assessed for β III tubulin. Corneal mechanical sensitivity thresholds were detected by von Frey test. β-endorphin(β-EP) and μ receptor protein expression was detected through Western blotting.RESULTS: Total nerve number, main nerve trunk number, and nerve branching were significantly lower in FK patients than in controls, but tortuosity was not significantly different. In infected mice, subbasal nerve density decreased from 1 d p.i., reaching a minimum at 5 d p.i. Clinical scores rose at 1 d p.i., peaked at 3 d p.i., and decreased at 5 d p.i. Mechanical sensitivity thresholds showed the same trends. β-EP and μ receptor protein expression increased after infection.CONCLUSION: Corneal nerve density is lower in FK patients and Aspergillus fumigatus-infected mice than in controls. Pain sensitivity decreases with postinfection corneal ulcer aggravation. β-EP and μ receptor proteins are both upregulated in infected mouse corneas.展开更多
A total of 26 myopic patients （52 eyes） underwent laser in situ keratomileusis. In vivo confocal microscopy revealed that most of the regenerated corneal subbasal nerve fibers in the comeal flap originated from the ...A total of 26 myopic patients （52 eyes） underwent laser in situ keratomileusis. In vivo confocal microscopy revealed that most of the regenerated corneal subbasal nerve fibers in the comeal flap originated from the stump of corneal subbasal nerve fibers outside the ablation zone and extended towards the center of the cornea in all patients. Meanwhile, new fibers were also found to directly regenerate from deep in the stroma in some cases. Approximately 94% of regenerated corneal subbasal nerve fibers （73/78 eyes） regrew vertically into the peripheral central 6-mm circle area 1 month after surgery, 78% （28/36 eyes） grew into the central 3 6 mm area at 2 months, and 23% into the central 3-mm circle area at 3 months. In addition, there was no significant difference in corneal subbasal nerve fiber regenerative capacity between the basic fibroblast growth factor group and the 20% （vN） deproteinized extract of calf blood group. The majority of corneal subbasal nerve fiber regeneration occurred from the stump of corneal subbasal nerve fibers outside the corneal flap and the remaining growth occurred deep within the stroma.展开更多
AIM:To characterize changes of corneal nerve morphology and tear indices in patients with neurotrophic keratitis(NK)treated with recombinant human nerve growth factor(rhNGF).METHODS:In a prospective observational stud...AIM:To characterize changes of corneal nerve morphology and tear indices in patients with neurotrophic keratitis(NK)treated with recombinant human nerve growth factor(rhNGF).METHODS:In a prospective observational study,six patients(nine eyes)were locally treated with rhNGF.Visual acuity,corneal fluorescein staining score,the heights of the tear river,lipid layer thickness(LLT),tear ferning(TF)test,conjunctival impression cytology(CIC)examination,the densities of cornea subbasal nerve fibers were determined before and after treatment.RESULTS:Compared with baseline,there was a significant difference in corneal fluorescence staining scores(P<0.01);all patient corneal epithelial defects recovered completely within 8wk,but there was no significant improvement in the height of the tear river(P=0.202).LLT was significantly increased when compared with baseline(P=0.042);however,the function of conjunctival goblet cells and mucin content did not significantly improve using the TF test and CIC examination(P=0.557,P=0.539).After 8wk of treatment,the average corneal subbasal nerve fiber density increased significantly(P<0.01),as did the number of corneal nerve fiber branches(P=0.001).CONCLUSION:RhNGF can increase the density of corneal subbasal nerve fibers,promote the healing of persistent corneal epithelial defects and corneal ulcers in patients with NK,also improving tear function partially.展开更多
AIM: To compare the clinical and microstructural changes induced by different transepithelial iontophoresis-assisted corneal cross-linking(I-CXL) methods for keratoconus. METHODS: A total of 42 eyes of 42 patients wit...AIM: To compare the clinical and microstructural changes induced by different transepithelial iontophoresis-assisted corneal cross-linking(I-CXL) methods for keratoconus. METHODS: A total of 42 eyes of 42 patients with progressive keratoconus were divided into two groups. Group A received I-CXL for 5 min, while group B received I-CXL for 10 min. Visual acuity, optical coherence tomography(OCT), specular microscopy and confocal microscopy were evaluated preoperatively and at 1, 3, 6, and 12 mo postoperatively. RESULTS: Twelve months after the operation, uncorrected visual acuity(UCVA) and corrected distance visual acuity(CDVA) were improved in both groups, with a better outcome in the I-CXL 10 min group(P=0.025, 0.021, respectively). Kmax values decreased by 0.94±3.00 D in the I-CXL 10 min group(P=0.033) but increased by 1.87±3.29 D in the I-CXL 5 min group(P=0.012). OCT scans showed that the demarcation line was most visible and substantially deeper in the I-CXL 10 min group. Confocal microscopy showed greater anterior stromal keratocyte decreases in the I-CXL 10 min group than in the I-CXL 5 min group at 3 and 6 mo postoperatively(P<0.001); however, anterior stromal keratocytes and subbasal nerve density were not significantly different between the two groups at 12 mo postoperatively. CONCLUSION: I-CXL for 10 min more effectively halts the progression of keratoconus than I-CXL for 5 min after 12 mo of follow-up. However, long-term studies are needed to evaluate the efficacy and safety of I-CXL.展开更多
AIM： To evaluate ocular surface changes and its correlation with the central corneal subbasal nerve fibre layer in chronic glaucoma patients. METHODS： A prospective comparative study of ocular surface evaluation wa...AIM： To evaluate ocular surface changes and its correlation with the central corneal subbasal nerve fibre layer in chronic glaucoma patients. METHODS： A prospective comparative study of ocular surface evaluation was performed in 50 eyes of 25 patients using two or more antiglaucoma medications for at least 6too and 50 eyes of 25 normal subjects without any ocular problems as controls. The study parameters evaluated included visual acuity, intraocular pressure, ocular surface evaluation parameters [fluorescein break-up time （FTBUT）, Schirmer＇s I test, ocular surface staining scores and ocular surface disease index score （OSDI）], central corneal sensation （Cochet Bonnett aesthesiometer）, central subbasal nerve fiber layer density （SBNFLD） by confocal microscopy. RESULTS： The mean values in the glaucoma cases and control groups respectively were as follows： OSDI score （35.89±16.07/6.02±3.84; P=-0.001）, Schirmer＇s I test score （7.632.64 mm/12.86±1.93 mm; P=-0.001）, FTBUT （9.442.76s/11.8±1.88s; P=0.001）, corneal （5.7±2.33/ 1.1±0.58; P=0.001） and conjunctival staining score （5.061.94/0.84±0.46; P=0.001）, corneal sensitivity （4.68±0.44/5.07±0.37; P=0.076）, mean subbasal nerve fiber number （3.58±0.99/5.40±1.70; P=0.001）, SBNFL length （1101.44±287.56 pm/1963.70±562.56 pro; P=0.001） and density （6883.941798.03 pm/mm/12 273.153516.04 pm/mm2; P=O.O01）. Dry eye severity of level 2 and 3 was seen in 66% of glaucoma group. Corneal （/=0.86） and conjunctival staining （R2=0.71） and OSDI score （R=0.67） showed statistically significant negative correlation with central corneal SBNFLD while FTBUT （R==0.84）, corneal sensitivity （/=0.52） showed positive correlation to central corneal SBNFLD in the long term topical antiglaucoma medication group. CONCLUSION： Ocular surface changes and antiglaucoma therapy induced dry eye is found to be associated with decreased SBNFLD in eyes on long term topical antiglaucoma medications.展开更多
In this paper, the agreement of Isbell and Scott topologies on the Domain function spaces is discussed. In terms of Domain function spaces, a non-continuous DCPO with Scott open filters as a subbase of Scott topology ...In this paper, the agreement of Isbell and Scott topologies on the Domain function spaces is discussed. In terms of Domain function spaces, a non-continuous DCPO with Scott open filters as a subbase of Scott topology is given.展开更多
Several studies have been conducted in the pavement area to try to understand the elastoplastic behavior of unbound granular materials(UGMs)under cyclic loading.This paper presents a literature review on the permanent...Several studies have been conducted in the pavement area to try to understand the elastoplastic behavior of unbound granular materials(UGMs)under cyclic loading.This paper presents a literature review on the permanent deformation phenomenon of UGMs when they form granular layers in flexible pavement structures.The factors affecting the resistance to permanent deformation are presented and described,and the evolution of the mathematical equations most used to predict the deformation in these materials under cyclic loading is shown.Conclusions and recommendations for future studies are presented at the end of the manuscript.Despite the substantial number of researches carried out on the subject,the elastoplastic behavior of UGMs has not yet been fully understood.These heterogeneous and anisotropic materials change their behavior mainly with stress magnitude and water content,but they are also strongly dependent on the way factors such as gradation,density,porosity,morphology,chemical and mineralogical composition,temperature,among others,interact.Generally,most of the mathematical equations that try to predict the accumulation of permanent deformation in UGMs are empirical,based on repeated load triaxial(RLT)tests,they cannot simulate the three components of cyclic stress to which a UGM is subjected in a pavement,their parameters are difficult to determine experimentally and do not show physical meaning(they are obtained by regression).In recent years,studies to evaluate the use of recycled aggregates and the effect of temperature(mainly at low temperatures)have increased.Likewise,the use of various technological tools such as artificial neural network(ANN)modeling,and so forth,has increased.展开更多
基金the Natural Science Foundation of Shandong Province (Q99A02)
文摘In this paper, we give the concepts of the base and subbase in I-fuzzy topological spaces, and use them to score continuous mapping and open mapping. We also study the base and subbase in the product space of I-fuzzy topological spaces.
文摘In this paper we discuss the global optimality of vector lengths for lattice bases. By introducing a partial order on lattice bases and the concept of successive minimal basis （SMB for short）, we show that any of its minimal elements is a general greedy-reduced basis, and its least element （if exists） is an SMB. Furthermore, we prove the existence of SMB for lattices of dimension up to 6.
文摘In tropical areas,palm oil production generates significant amounts of waste,including palm kernel shells.The use of this waste in the civil engineering sector,presents a very challenging task.In the present study,the production of lateritic soil(A-2 in GTR classification and A-7-6(9)in HRB classification)reinforced with palm kernel shells is considered.In order to improve their performances,these materials are mixed using the Fuller’s parabolic law.Moreover,experimental tests are used to characterize the physical and mechanical geotechnical properties of the lateritic soil.After characterizing the matrix(i.e.,lateritic soil)and the inclusions(i.e.,palm kernel shells)in their natural state,it is found that Avrankou’s lateritic soil has a high level of fine particles(56.6%),high plasticity(PI=21%)and low lift(ICBR=17%);which makes it unusable in the pavement layer.Results also prove that the mixture composed of 39%of lateritic soil volume and 61%of PKS with a CBR index equals to 30 and the mixture composed of 45%of lateritic soil,40%PKS and 15%of lagoon sand with a CBR index equals to 41 can be used as sub-base layer for roads for low and medium traffic,respectively.
基金Supported by the National Natural Science Foundation of China(No.81470609 No.81870632)+4 种基金the Youth National Natural Science Foundation of China(No.81700800 No.81800800 No.81500695)Natural Science Foundation of Shandong Province(No.ZR2017MH008 No.ZR2017BH025)
文摘AIM: To characterize changes in the cornea nerve and pain responses in fungal keratitis(FK).METHODS: A retrospective analysis of in vivo confocal microscopy images of 11 FK corneas was performed, and the results were compared with those for 11 normal corneas. Subbasal corneal nerves were analyzed for total nerve number, main nerve trunk number, branching patterns and tortuosity. C57 BL/6 mice were infected with Aspergillus fumigatus. Disease severity was determined through clinical scoring and slit lamp photography. Corneas were harvested at 1, 3, 5, and 7 d post infection(p.i.) and assessed for β III tubulin. Corneal mechanical sensitivity thresholds were detected by von Frey test. β-endorphin(β-EP) and μ receptor protein expression was detected through Western blotting.RESULTS: Total nerve number, main nerve trunk number, and nerve branching were significantly lower in FK patients than in controls, but tortuosity was not significantly different. In infected mice, subbasal nerve density decreased from 1 d p.i., reaching a minimum at 5 d p.i. Clinical scores rose at 1 d p.i., peaked at 3 d p.i., and decreased at 5 d p.i. Mechanical sensitivity thresholds showed the same trends. β-EP and μ receptor protein expression increased after infection.CONCLUSION: Corneal nerve density is lower in FK patients and Aspergillus fumigatus-infected mice than in controls. Pain sensitivity decreases with postinfection corneal ulcer aggravation. β-EP and μ receptor proteins are both upregulated in infected mouse corneas.
文摘A total of 26 myopic patients （52 eyes） underwent laser in situ keratomileusis. In vivo confocal microscopy revealed that most of the regenerated corneal subbasal nerve fibers in the comeal flap originated from the stump of corneal subbasal nerve fibers outside the ablation zone and extended towards the center of the cornea in all patients. Meanwhile, new fibers were also found to directly regenerate from deep in the stroma in some cases. Approximately 94% of regenerated corneal subbasal nerve fibers （73/78 eyes） regrew vertically into the peripheral central 6-mm circle area 1 month after surgery, 78% （28/36 eyes） grew into the central 3 6 mm area at 2 months, and 23% into the central 3-mm circle area at 3 months. In addition, there was no significant difference in corneal subbasal nerve fiber regenerative capacity between the basic fibroblast growth factor group and the 20% （vN） deproteinized extract of calf blood group. The majority of corneal subbasal nerve fiber regeneration occurred from the stump of corneal subbasal nerve fibers outside the corneal flap and the remaining growth occurred deep within the stroma.
基金Supported by the Shaanxi Provincial Department of Science and Technology(No.2021SF-331)。
文摘AIM:To characterize changes of corneal nerve morphology and tear indices in patients with neurotrophic keratitis(NK)treated with recombinant human nerve growth factor(rhNGF).METHODS:In a prospective observational study,six patients(nine eyes)were locally treated with rhNGF.Visual acuity,corneal fluorescein staining score,the heights of the tear river,lipid layer thickness(LLT),tear ferning(TF)test,conjunctival impression cytology(CIC)examination,the densities of cornea subbasal nerve fibers were determined before and after treatment.RESULTS:Compared with baseline,there was a significant difference in corneal fluorescence staining scores(P<0.01);all patient corneal epithelial defects recovered completely within 8wk,but there was no significant improvement in the height of the tear river(P=0.202).LLT was significantly increased when compared with baseline(P=0.042);however,the function of conjunctival goblet cells and mucin content did not significantly improve using the TF test and CIC examination(P=0.557,P=0.539).After 8wk of treatment,the average corneal subbasal nerve fiber density increased significantly(P<0.01),as did the number of corneal nerve fiber branches(P=0.001).CONCLUSION:RhNGF can increase the density of corneal subbasal nerve fibers,promote the healing of persistent corneal epithelial defects and corneal ulcers in patients with NK,also improving tear function partially.
基金Supported by Natural Science Foundation of Hunan Province(No.2016JJ2163)Natural Science Foundation of Hubei Province(No.2015CFC837)+1 种基金Health and Family Planning Committee Science Foundation of Hubei Province(No.WJ2015MB259)Health and Family Planning Committee Science Foundation of Wuhan Municipality(No.WX17A13)
文摘AIM: To compare the clinical and microstructural changes induced by different transepithelial iontophoresis-assisted corneal cross-linking(I-CXL) methods for keratoconus. METHODS: A total of 42 eyes of 42 patients with progressive keratoconus were divided into two groups. Group A received I-CXL for 5 min, while group B received I-CXL for 10 min. Visual acuity, optical coherence tomography(OCT), specular microscopy and confocal microscopy were evaluated preoperatively and at 1, 3, 6, and 12 mo postoperatively. RESULTS: Twelve months after the operation, uncorrected visual acuity(UCVA) and corrected distance visual acuity(CDVA) were improved in both groups, with a better outcome in the I-CXL 10 min group(P=0.025, 0.021, respectively). Kmax values decreased by 0.94±3.00 D in the I-CXL 10 min group(P=0.033) but increased by 1.87±3.29 D in the I-CXL 5 min group(P=0.012). OCT scans showed that the demarcation line was most visible and substantially deeper in the I-CXL 10 min group. Confocal microscopy showed greater anterior stromal keratocyte decreases in the I-CXL 10 min group than in the I-CXL 5 min group at 3 and 6 mo postoperatively(P<0.001); however, anterior stromal keratocytes and subbasal nerve density were not significantly different between the two groups at 12 mo postoperatively. CONCLUSION: I-CXL for 10 min more effectively halts the progression of keratoconus than I-CXL for 5 min after 12 mo of follow-up. However, long-term studies are needed to evaluate the efficacy and safety of I-CXL.
基金Supported by the Institute Research Grant of All India Institute of Medical Sciences,New Delhi 110029,India
文摘AIM： To evaluate ocular surface changes and its correlation with the central corneal subbasal nerve fibre layer in chronic glaucoma patients. METHODS： A prospective comparative study of ocular surface evaluation was performed in 50 eyes of 25 patients using two or more antiglaucoma medications for at least 6too and 50 eyes of 25 normal subjects without any ocular problems as controls. The study parameters evaluated included visual acuity, intraocular pressure, ocular surface evaluation parameters [fluorescein break-up time （FTBUT）, Schirmer＇s I test, ocular surface staining scores and ocular surface disease index score （OSDI）], central corneal sensation （Cochet Bonnett aesthesiometer）, central subbasal nerve fiber layer density （SBNFLD） by confocal microscopy. RESULTS： The mean values in the glaucoma cases and control groups respectively were as follows： OSDI score （35.89±16.07/6.02±3.84; P=-0.001）, Schirmer＇s I test score （7.632.64 mm/12.86±1.93 mm; P=-0.001）, FTBUT （9.442.76s/11.8±1.88s; P=0.001）, corneal （5.7±2.33/ 1.1±0.58; P=0.001） and conjunctival staining score （5.061.94/0.84±0.46; P=0.001）, corneal sensitivity （4.68±0.44/5.07±0.37; P=0.076）, mean subbasal nerve fiber number （3.58±0.99/5.40±1.70; P=0.001）, SBNFL length （1101.44±287.56 pm/1963.70±562.56 pro; P=0.001） and density （6883.941798.03 pm/mm/12 273.153516.04 pm/mm2; P=O.O01）. Dry eye severity of level 2 and 3 was seen in 66% of glaucoma group. Corneal （/=0.86） and conjunctival staining （R2=0.71） and OSDI score （R=0.67） showed statistically significant negative correlation with central corneal SBNFLD while FTBUT （R==0.84）, corneal sensitivity （/=0.52） showed positive correlation to central corneal SBNFLD in the long term topical antiglaucoma medication group. CONCLUSION： Ocular surface changes and antiglaucoma therapy induced dry eye is found to be associated with decreased SBNFLD in eyes on long term topical antiglaucoma medications.
基金the National Natural Science Foundation of China (No.10571112)the National Key Project of Fundamental Research (No.2002CB312200)
文摘In this paper, the agreement of Isbell and Scott topologies on the Domain function spaces is discussed. In terms of Domain function spaces, a non-continuous DCPO with Scott open filters as a subbase of Scott topology is given.
文摘Several studies have been conducted in the pavement area to try to understand the elastoplastic behavior of unbound granular materials(UGMs)under cyclic loading.This paper presents a literature review on the permanent deformation phenomenon of UGMs when they form granular layers in flexible pavement structures.The factors affecting the resistance to permanent deformation are presented and described,and the evolution of the mathematical equations most used to predict the deformation in these materials under cyclic loading is shown.Conclusions and recommendations for future studies are presented at the end of the manuscript.Despite the substantial number of researches carried out on the subject,the elastoplastic behavior of UGMs has not yet been fully understood.These heterogeneous and anisotropic materials change their behavior mainly with stress magnitude and water content,but they are also strongly dependent on the way factors such as gradation,density,porosity,morphology,chemical and mineralogical composition,temperature,among others,interact.Generally,most of the mathematical equations that try to predict the accumulation of permanent deformation in UGMs are empirical,based on repeated load triaxial(RLT)tests,they cannot simulate the three components of cyclic stress to which a UGM is subjected in a pavement,their parameters are difficult to determine experimentally and do not show physical meaning(they are obtained by regression).In recent years,studies to evaluate the use of recycled aggregates and the effect of temperature(mainly at low temperatures)have increased.Likewise,the use of various technological tools such as artificial neural network(ANN)modeling,and so forth,has increased.
