In this paper, we try to find numerical solution of y'(x)= p(x)y(x)+g(x)+λ∫ba K(x, t)y(t)dt, y(a)=α. a≤x≤b, a≤t≤b or y'(x)= p(x)y(x)+g(x)+λ∫xa K(x, t)y(t)dt, y(a)=α. a≤x≤b, a≤t≤b by using Local p...In this paper, we try to find numerical solution of y'(x)= p(x)y(x)+g(x)+λ∫ba K(x, t)y(t)dt, y(a)=α. a≤x≤b, a≤t≤b or y'(x)= p(x)y(x)+g(x)+λ∫xa K(x, t)y(t)dt, y(a)=α. a≤x≤b, a≤t≤b by using Local polynomial regression (LPR) method. The numerical solution shows that this method is powerful in solving integro-differential equations. The method will be tested on three model problems in order to demonstrate its usefulness and accuracy.展开更多
Concerns about the soil salinity caused by excessive fertilization have prompted scientists to clarify the detailed mechanisms and find techniques to alleviate the damage caused by this kind of soil salinity.Aims of t...Concerns about the soil salinity caused by excessive fertilization have prompted scientists to clarify the detailed mechanisms and find techniques to alleviate the damage caused by this kind of soil salinity.Aims of this study were to elucidate the effect of soil salinity caused by nitrate fertilization and the differences in salinity effect between nitrate salts and NaCl salt with analyses at various levels of crop physiology and molecular biology.A microbial inoculation was also tried to verify whether it could alleviate the salinity-induced loss and damages.In three experiments(Exp I,II and III),nitrate salts(NS)of Ca(NO_(3))_(2) and KNO_(3) were applied to potted tomato plants to simulate the soil salinity caused by fertilization and a microbial inoculant(MI)was applied.Photosynthesis was measured using Li-6400.Osmotic adjustment was analyzed using the mathematically modeled pressure-volume curve;O_(2)-concentration and activity of SOD and nitrate reductase were measured.Expression of nitrate reductase gene and the stress-responsive gene DREB2 was analyzed using the real-time PCR method.In Exp I and II,where the applied NS amount was moderate,NS application at low concentration induced increases in O_(2)-and MDA concentrations and plants acclimated to the soil salinity as the treatment prolonged for weeks.The acclimation was contributed by osmotic adjustment,activation of SOD and re-compartmentation of cell water between symplasm and apoplasm.These adjustments might be ultimately attributed to up-regulation of stress-responsive genes such as DREB2 as well as the nitrate reductase(NR)gene.However,in Exp III,applications of NaCl and NS at high concentration could not show positive effects as NS did.Application of MI synergistically increased the xerophytophysiological regulation caused by NS and alleviated the salinity damage in addition to its own positive effects on the tomato plants.Different from NaCl,nitrate salts at low application rate increased the total biomass and fruit yield of tomato and induced up-regulation expression of stress-responsive genes and the consequent active osmotic adjustment.However,nitrate application at high level negatively affected tomato plants irrespective of the gene up-regulations.Application of MI alleviated the salinity damage and synergistically increased the xerophytophysiological regulation caused by the soil salinity in addition to its positive effects on the tomato crop but the detailed mechanisms needed to be clarified in future further studies.展开更多
Merremia boisiana(Gagnep)van Ooststr.is a noxious fast growing woody vine and is able to grow overtop other plants,causing the death of plants underneath and forming monospecies stands.To formulate management response...Merremia boisiana(Gagnep)van Ooststr.is a noxious fast growing woody vine and is able to grow overtop other plants,causing the death of plants underneath and forming monospecies stands.To formulate management responses,we assessed its seed and vegetative reproduction efficacy through indoor and field experiments.The number of flowers counted from bagged infructescences in Guangzhou ranged from 25 to 172,with an average of 80.80.Counting the seeds of bagged infructescences had shown that there were only 1.58 hard testa seeds in each infructescence.Seed vitality tests using red ink indicated that only 68.6%of hard testa and filled seeds were viable.The emergence rate of scarified hard testa seeds in the sand bed was 31.96%.Under imitated natural conditions,8%of hard testa seeds could germinate,and 9%still retained their germination potential in one year.Thus,seedlings should be monitored and removed in a timely fashion after any attempt of clearing.Moving soil or transplanting plant from infested patches should be strictly prohibited at least for several years.All considered,an infructescence contributed 0.3 seedlings.The investigation in the field found no seedlings either inside or at the perimeter of the patch,suggesting scant expansion by means of seed dispersal.Therefore,the elimination effort could be focused on a relatively restricted scale of patches.Of 630 cuttings of young shoots,old shoots and old lying shoots with or without growth regulators,there were only four(or 0.63%)established individuals.Air-layering shoots all died in two months.Poor cuttings and airlayering reproduction indicated that regeneration from fragments of removed stems or accidentally dropped ones was quite unlikely,and thus mechanical removal was safe.展开更多
An atroposelectively diversity-oriented synthetic strategy was developed for the divergent synthesis of axially chiral heterocycles through organocatalytic asymmetric intramolecular annulation of alkyne via vinylidene...An atroposelectively diversity-oriented synthetic strategy was developed for the divergent synthesis of axially chiral heterocycles through organocatalytic asymmetric intramolecular annulation of alkyne via vinylidene ortho-quinone methides(VQMs).The methodology reported herein was characterized by rapid reactions(most completed in seconds),high stereocontrol(up to 98%ee),and broad substrate scope(60 examples of different skeletal types,stereogenicelements,andring sizes).展开更多
文摘In this paper, we try to find numerical solution of y'(x)= p(x)y(x)+g(x)+λ∫ba K(x, t)y(t)dt, y(a)=α. a≤x≤b, a≤t≤b or y'(x)= p(x)y(x)+g(x)+λ∫xa K(x, t)y(t)dt, y(a)=α. a≤x≤b, a≤t≤b by using Local polynomial regression (LPR) method. The numerical solution shows that this method is powerful in solving integro-differential equations. The method will be tested on three model problems in order to demonstrate its usefulness and accuracy.
基金This work was financially supported by China Postdoctoral Science Foundation Funded Project(51509068)the Fundamental Research Funds for the Central Universities(2018B00314,2017B11014)the China Postdoctoral Science Foundation(2017M611677).
文摘Concerns about the soil salinity caused by excessive fertilization have prompted scientists to clarify the detailed mechanisms and find techniques to alleviate the damage caused by this kind of soil salinity.Aims of this study were to elucidate the effect of soil salinity caused by nitrate fertilization and the differences in salinity effect between nitrate salts and NaCl salt with analyses at various levels of crop physiology and molecular biology.A microbial inoculation was also tried to verify whether it could alleviate the salinity-induced loss and damages.In three experiments(Exp I,II and III),nitrate salts(NS)of Ca(NO_(3))_(2) and KNO_(3) were applied to potted tomato plants to simulate the soil salinity caused by fertilization and a microbial inoculant(MI)was applied.Photosynthesis was measured using Li-6400.Osmotic adjustment was analyzed using the mathematically modeled pressure-volume curve;O_(2)-concentration and activity of SOD and nitrate reductase were measured.Expression of nitrate reductase gene and the stress-responsive gene DREB2 was analyzed using the real-time PCR method.In Exp I and II,where the applied NS amount was moderate,NS application at low concentration induced increases in O_(2)-and MDA concentrations and plants acclimated to the soil salinity as the treatment prolonged for weeks.The acclimation was contributed by osmotic adjustment,activation of SOD and re-compartmentation of cell water between symplasm and apoplasm.These adjustments might be ultimately attributed to up-regulation of stress-responsive genes such as DREB2 as well as the nitrate reductase(NR)gene.However,in Exp III,applications of NaCl and NS at high concentration could not show positive effects as NS did.Application of MI synergistically increased the xerophytophysiological regulation caused by NS and alleviated the salinity damage in addition to its own positive effects on the tomato plants.Different from NaCl,nitrate salts at low application rate increased the total biomass and fruit yield of tomato and induced up-regulation expression of stress-responsive genes and the consequent active osmotic adjustment.However,nitrate application at high level negatively affected tomato plants irrespective of the gene up-regulations.Application of MI alleviated the salinity damage and synergistically increased the xerophytophysiological regulation caused by the soil salinity in addition to its positive effects on the tomato crop but the detailed mechanisms needed to be clarified in future further studies.
基金supported by the National Natural Science Foundation of China(Grant No.30370243)The National Nonprofit Institute Research Grant of CATAS-EPPI(No.2007hzs1J005).
文摘Merremia boisiana(Gagnep)van Ooststr.is a noxious fast growing woody vine and is able to grow overtop other plants,causing the death of plants underneath and forming monospecies stands.To formulate management responses,we assessed its seed and vegetative reproduction efficacy through indoor and field experiments.The number of flowers counted from bagged infructescences in Guangzhou ranged from 25 to 172,with an average of 80.80.Counting the seeds of bagged infructescences had shown that there were only 1.58 hard testa seeds in each infructescence.Seed vitality tests using red ink indicated that only 68.6%of hard testa and filled seeds were viable.The emergence rate of scarified hard testa seeds in the sand bed was 31.96%.Under imitated natural conditions,8%of hard testa seeds could germinate,and 9%still retained their germination potential in one year.Thus,seedlings should be monitored and removed in a timely fashion after any attempt of clearing.Moving soil or transplanting plant from infested patches should be strictly prohibited at least for several years.All considered,an infructescence contributed 0.3 seedlings.The investigation in the field found no seedlings either inside or at the perimeter of the patch,suggesting scant expansion by means of seed dispersal.Therefore,the elimination effort could be focused on a relatively restricted scale of patches.Of 630 cuttings of young shoots,old shoots and old lying shoots with or without growth regulators,there were only four(or 0.63%)established individuals.Air-layering shoots all died in two months.Poor cuttings and airlayering reproduction indicated that regeneration from fragments of removed stems or accidentally dropped ones was quite unlikely,and thus mechanical removal was safe.
基金provided by the Zhejiang Provincial Natural Science Foundation of China(grant no.LQ19B020003)the Scientific Research Foundation of China(grant nos.21922101,21772018,and 21901026)the Fundamental Research Funds for the Central Universities(project no.2020CQJQY-Z002).
文摘An atroposelectively diversity-oriented synthetic strategy was developed for the divergent synthesis of axially chiral heterocycles through organocatalytic asymmetric intramolecular annulation of alkyne via vinylidene ortho-quinone methides(VQMs).The methodology reported herein was characterized by rapid reactions(most completed in seconds),high stereocontrol(up to 98%ee),and broad substrate scope(60 examples of different skeletal types,stereogenicelements,andring sizes).
