We consider the problem about the space embedded by the space and the embedding inequality. With the HSlder inequality and interpolation inequality, we give the proof of the space embedding theorem and the space holde...We consider the problem about the space embedded by the space and the embedding inequality. With the HSlder inequality and interpolation inequality, we give the proof of the space embedding theorem and the space holder embedding theorem.展开更多
This article is devoted to the study of high order accuracy difference methods tor the Cahn-rnmara equation. A three level linearized compact difference scheme is derived. The u^ique solvability and uaconditional conv...This article is devoted to the study of high order accuracy difference methods tor the Cahn-rnmara equation. A three level linearized compact difference scheme is derived. The u^ique solvability and uaconditional convergence of the difference solution are proved. The convergence order is O（T2＋h4） in the maximum norm. The mass conservation and the non-increase of the total energy are also verified. Some numerical examples are given to demonstrate the theoretical results.展开更多
The author first reviews the classical Korn inequality and its proof.Following recent works of S.Kesavan,P.Ciarlet,Jr.,and the author,it is shown how the Korn inequality can be recovered by an entirely different proof...The author first reviews the classical Korn inequality and its proof.Following recent works of S.Kesavan,P.Ciarlet,Jr.,and the author,it is shown how the Korn inequality can be recovered by an entirely different proof.This new proof hinges on appropriate weak versions of the classical Poincar'e and Saint-Venant lemma.In fine,both proofs essentially depend on a crucial lemma of J.L.Lions,recalled at the beginning of this paper.展开更多
OBJECTIVE： To investigate how the pretreatment of mice with Ganoderma spores affected the apop- tosis of their splenic lymphocytes induced by dexa- methasone after 19 days treatment. METHODS： Sixty Kunming mice were...OBJECTIVE： To investigate how the pretreatment of mice with Ganoderma spores affected the apop- tosis of their splenic lymphocytes induced by dexa- methasone after 19 days treatment. METHODS： Sixty Kunming mice were randomly di- vided into six groups： blank control groupdrenched with normal saline; a drug control group drenched with 150 mg/mL Ganoderma spores; a model group treated with saline; a low dose group with S0 mg/mL Ganoderma spores; a moderate dose group with 100 mg/mL Ganoderma spores; and a high dose group with 150 mg/mL Ganoderma spores. The effect of Ganoderma spores on apoptosis in spleen lymphocytes was analyzed. All groups were treated for 19 days. On day 20, the model group and the 3 treatment groups were intraperitoneally injected dexamethasone to induce apoptosis. Splenic index and apoptosis indes were employed to measure cell apoptosis RESULTS： The results showed that Ganoderma spores reduced the splenic index to different de- grees in each group and the best effect was seen in the high dose group （P〈0.05）. Terminal dexynucleo- tidyl transferase （TdT）-mediated 2＇-Deoxyuridine 5＇-Triphosphate nick end labeling staining revealed that the apoptotic index in all groups administered Ganoderma spores differed significantly from the model group, and a dose-response was observed. Flow cytometric analysis indicated that spleen lym- phocyte apoptosis in the model group was exten- sive. Each dose of Ganoderma spores inhibited dexamethasone-induced apoptosis in spleen lym- phocytes, and a dose-response was observed as well. The highest dose of Ganoderma spores de- creased Malondialdehyde content in serum in- duced by dexamethasone （P〈0.05）. CONCLUSION： The findings imply that the pretreat- ment of the mice with Ganoderma spores could re- duce the apoptosis rate induced by dexametha- sone in their splenic lymphocytes.展开更多
基金Supported by Soft Science Project of Henan Province(072102210020)
文摘We consider the problem about the space embedded by the space and the embedding inequality. With the HSlder inequality and interpolation inequality, we give the proof of the space embedding theorem and the space holder embedding theorem.
基金supported by Natural Science Foundation of China (Grant No. 10871044)
文摘This article is devoted to the study of high order accuracy difference methods tor the Cahn-rnmara equation. A three level linearized compact difference scheme is derived. The u^ique solvability and uaconditional convergence of the difference solution are proved. The convergence order is O（T2＋h4） in the maximum norm. The mass conservation and the non-increase of the total energy are also verified. Some numerical examples are given to demonstrate the theoretical results.
文摘The author first reviews the classical Korn inequality and its proof.Following recent works of S.Kesavan,P.Ciarlet,Jr.,and the author,it is shown how the Korn inequality can be recovered by an entirely different proof.This new proof hinges on appropriate weak versions of the classical Poincar'e and Saint-Venant lemma.In fine,both proofs essentially depend on a crucial lemma of J.L.Lions,recalled at the beginning of this paper.
基金Supported by the Natural Science Foundation of Fujian Province (No.2013J01069No.2012J01067)
文摘OBJECTIVE： To investigate how the pretreatment of mice with Ganoderma spores affected the apop- tosis of their splenic lymphocytes induced by dexa- methasone after 19 days treatment. METHODS： Sixty Kunming mice were randomly di- vided into six groups： blank control groupdrenched with normal saline; a drug control group drenched with 150 mg/mL Ganoderma spores; a model group treated with saline; a low dose group with S0 mg/mL Ganoderma spores; a moderate dose group with 100 mg/mL Ganoderma spores; and a high dose group with 150 mg/mL Ganoderma spores. The effect of Ganoderma spores on apoptosis in spleen lymphocytes was analyzed. All groups were treated for 19 days. On day 20, the model group and the 3 treatment groups were intraperitoneally injected dexamethasone to induce apoptosis. Splenic index and apoptosis indes were employed to measure cell apoptosis RESULTS： The results showed that Ganoderma spores reduced the splenic index to different de- grees in each group and the best effect was seen in the high dose group （P〈0.05）. Terminal dexynucleo- tidyl transferase （TdT）-mediated 2＇-Deoxyuridine 5＇-Triphosphate nick end labeling staining revealed that the apoptotic index in all groups administered Ganoderma spores differed significantly from the model group, and a dose-response was observed. Flow cytometric analysis indicated that spleen lym- phocyte apoptosis in the model group was exten- sive. Each dose of Ganoderma spores inhibited dexamethasone-induced apoptosis in spleen lym- phocytes, and a dose-response was observed as well. The highest dose of Ganoderma spores de- creased Malondialdehyde content in serum in- duced by dexamethasone （P〈0.05）. CONCLUSION： The findings imply that the pretreat- ment of the mice with Ganoderma spores could re- duce the apoptosis rate induced by dexametha- sone in their splenic lymphocytes.
