Fractional linear maps have played a key role in mathematical biology,population dynamics,and other research areas.In this paper,a special kind of Ricatti map is studied in detail in order to determine the asymptotica...Fractional linear maps have played a key role in mathematical biology,population dynamics,and other research areas.In this paper,a special kind of Ricatti map is studied in detail in order to determine the asymptotical behaviors of fixed points and periodic solutions.Making use of composition operation of maps and the methods of dynamical systems and qualitative theory,fixed points or periodic orbits are expressed precisely,average value of periodic solution is estimated concretely,and several different bounds are obtained for periodic solutions of the Beverton⁃Holt map when both intrinsic growth rate and carrying capacity change periodically.In addition,some sufficient conditions are given about the attenuation of periodic solution of the non⁃autonomous Beverton⁃Holt equation.Compared with present works in literature,our results about bounds of periodic solutions are more precise,and our proofs about the attenuation of periodic solution are more concise.展开更多
Objective:To study the effect of mechanism of high glucose on apoptosis and cell cycle arrest of isletβcells via p27 pathway.Methods:Islet INS-1 cells were cultured and divided into groups.The control group was treat...Objective:To study the effect of mechanism of high glucose on apoptosis and cell cycle arrest of isletβcells via p27 pathway.Methods:Islet INS-1 cells were cultured and divided into groups.The control group was treated with ordinary medium,the high glucose group was treated with high glucose medium containing 25mmol/L glucose,the high glucose+si-NC group was treated with high glucose medium and transfected with NC siRNA,and the high glucose+si-P27 group was treated with high glucose medium and transfected with p27 siRNA.After 24 hours treatment,MTS assay was used to detect the cell viability A490,TUNEL assay was used to detect apoptosis rate,flow cytometry was used to detect the cell cycle distribution and western blot was used to detect the expression levels of P27,caspase-8 and cyclinD1.Results:Compared with those in the control group,the A490,the ratio of S phase and G2/M phase as well as the expression level of CyclinD1 decreased,while the apoptosis rate,the ratio of G0/G1 phase as well as the expression levels of P27 and caspase-8 increased in the high glucose group(P<0.05);compared with those in the high glucose group,the A490,cell cycle as well as the expression levels of P27,caspase-8 and cyclinD1 were not different from those in the high glucose+si-NC group(P>0.05);compared with those in the high glucose group and high glucose+si-NC group,the A490,the ratio of S phase and G2/M phase as well as the expression levels of cyclinD1 increased,while the apoptosis rate,the ratio of G0/G1 phase as well as the expression levels of p27 and caspase-8 decreased in the high glucose+si-P27 group(P<0.05).Conclusion:The apoptosis and cell cycle arrest induced by high glucose are related to P27 pathway activation.展开更多
Abstract: A split-root system was used to investigate whether the external or internal P concentration controls root cluster formation and citrate exudation in white lupin (Lupinus albus L.) grown under controlled con...Abstract: A split-root system was used to investigate whether the external or internal P concentration controls root cluster formation and citrate exudation in white lupin (Lupinus albus L.) grown under controlled conditions. In spite of low P concentrations in the shoots and roots of the -P plant, its dry weight was not reduced compared with the +P plant. Supplying external P (0.25 mmol/L) to one root half resulted in an increase in P concentration not only in the shoot, but also in the P-deprived root half, indicating P cycling within the plants. Omitting P from both split-root pots stimulated root cluster formation in both root halves, whereas P supply to one root half stimulated root cluster formation at the beginning of the treatment. Neither P supply to just one root half continuously nor resupply of P to one root half after 19 d of P starvation inhibited root cluster formation on the P-deprived side, although the concentration of P in this root half and shoot increased markedly. The results indicate that root cluster formation in L. albus is controlled by both shoot and root P concentrations. The rates of citrate exudation by both root halves with P deficiency were higher than those of the one root half supplied with P only. In the treatment with one root half supplied with P, the rates of citrate exudation by either the P-supplied or -deprived root halves were almost the same, regardless of P concentration in the roots. The results suggest that internal P concentration controls root cluster formation and citrate exudation in white lupin, but these processes may be regulated by different mechanisms.展开更多
文摘Fractional linear maps have played a key role in mathematical biology,population dynamics,and other research areas.In this paper,a special kind of Ricatti map is studied in detail in order to determine the asymptotical behaviors of fixed points and periodic solutions.Making use of composition operation of maps and the methods of dynamical systems and qualitative theory,fixed points or periodic orbits are expressed precisely,average value of periodic solution is estimated concretely,and several different bounds are obtained for periodic solutions of the Beverton⁃Holt map when both intrinsic growth rate and carrying capacity change periodically.In addition,some sufficient conditions are given about the attenuation of periodic solution of the non⁃autonomous Beverton⁃Holt equation.Compared with present works in literature,our results about bounds of periodic solutions are more precise,and our proofs about the attenuation of periodic solution are more concise.
基金National Natural Science Foundation of China(No.81970668)Shaanxi Science and Technology Planning Project(No.2019JM-116)。
文摘Objective:To study the effect of mechanism of high glucose on apoptosis and cell cycle arrest of isletβcells via p27 pathway.Methods:Islet INS-1 cells were cultured and divided into groups.The control group was treated with ordinary medium,the high glucose group was treated with high glucose medium containing 25mmol/L glucose,the high glucose+si-NC group was treated with high glucose medium and transfected with NC siRNA,and the high glucose+si-P27 group was treated with high glucose medium and transfected with p27 siRNA.After 24 hours treatment,MTS assay was used to detect the cell viability A490,TUNEL assay was used to detect apoptosis rate,flow cytometry was used to detect the cell cycle distribution and western blot was used to detect the expression levels of P27,caspase-8 and cyclinD1.Results:Compared with those in the control group,the A490,the ratio of S phase and G2/M phase as well as the expression level of CyclinD1 decreased,while the apoptosis rate,the ratio of G0/G1 phase as well as the expression levels of P27 and caspase-8 increased in the high glucose group(P<0.05);compared with those in the high glucose group,the A490,cell cycle as well as the expression levels of P27,caspase-8 and cyclinD1 were not different from those in the high glucose+si-NC group(P>0.05);compared with those in the high glucose group and high glucose+si-NC group,the A490,the ratio of S phase and G2/M phase as well as the expression levels of cyclinD1 increased,while the apoptosis rate,the ratio of G0/G1 phase as well as the expression levels of p27 and caspase-8 decreased in the high glucose+si-P27 group(P<0.05).Conclusion:The apoptosis and cell cycle arrest induced by high glucose are related to P27 pathway activation.
基金the Ministry of Education Grant for Ph.D Program,国家重点基础研究发展计划(973计划)
文摘Abstract: A split-root system was used to investigate whether the external or internal P concentration controls root cluster formation and citrate exudation in white lupin (Lupinus albus L.) grown under controlled conditions. In spite of low P concentrations in the shoots and roots of the -P plant, its dry weight was not reduced compared with the +P plant. Supplying external P (0.25 mmol/L) to one root half resulted in an increase in P concentration not only in the shoot, but also in the P-deprived root half, indicating P cycling within the plants. Omitting P from both split-root pots stimulated root cluster formation in both root halves, whereas P supply to one root half stimulated root cluster formation at the beginning of the treatment. Neither P supply to just one root half continuously nor resupply of P to one root half after 19 d of P starvation inhibited root cluster formation on the P-deprived side, although the concentration of P in this root half and shoot increased markedly. The results indicate that root cluster formation in L. albus is controlled by both shoot and root P concentrations. The rates of citrate exudation by both root halves with P deficiency were higher than those of the one root half supplied with P only. In the treatment with one root half supplied with P, the rates of citrate exudation by either the P-supplied or -deprived root halves were almost the same, regardless of P concentration in the roots. The results suggest that internal P concentration controls root cluster formation and citrate exudation in white lupin, but these processes may be regulated by different mechanisms.