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On the stability of diffusion processes with state-dependent switching

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science china Mathematics 2006年第9期49卷 1258-1274页

作者： XI Fubao & ZHAO Liqin department of Mathematics, beijing Institute of Technology, beijing 100081, china School of Mathematical sciences, beijing normal university, beijing 100875, china department of Mathematics Beijing Institute of Technology Beijing 100081 China School of Mathematical sciences Beijing Normal University Beijing 100875 China

In this paper we consider the stability for diffusion processes with state-dependent switching. We first prove their Feller continuity by the coupling methods. Furthermore, we also prove their strong Feller continuity and their exponential ergodicity under some reasonable conditions. Finally, we append a very brief discussion about the regularity of these processes.

关键词： Feller continuity, coupling, strong Feller continuity, exponential ergodicity,state-dependent switching.

Multi-parameter infinite-dimensional(r,δ)-OU process

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Chinese science Bulletin 1999年第5期44卷 418-423页

作者： WANG ZikunInstitute of Mathematics, Shantou university, Shantou 515063, china department of Mathematics, beijing normal university, beijing 100875, china Institute of Mathematics Shantou University Shantou China department of Mathematics Beijing Normal University Beijing China

The definition of n-parameter infinite-dimensional (r, δ) -Ornstein-Uhlenbeck process {X_t (·)}((r,δ)-OUP_n~∞ for short) is given. The absolute continuity of distribution μ_t of X_t(·) and the limit of X_t(·) w... 详细信息

关键词： multi-parameter (r δ)-OUPn∞ absolute continuity in hierarchy.

Effect of Bcl-2 and caspase-3 on calcium distribution in apoptosis of HL-60 cells

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Cell Research 2000年第3期10卷 213-220页

作者： ZHANG MIN, HONG QING ZHANG, SHAO BAI XUE (department of Biology, beijing normal university, beijing 100875, china) departmentofBiology BeijingNormalUniversityChina.

Apoptosis manifests in two major execution programs downstream of the death signal: the caspase pathway and organelle dysfunction. An important antiapoptosis factor, Bcl-2 protein, contributes in caspase pathway of apoptosis. Calcium, an important intracellular signal element in cells, is also observed to have changes during apoptosis, which maybe affected by Bcl-2 protein. We have previously reported that in Harringtonine (HT) induced apoptosis of HL-60 cells, there’s a change of intracellular calcium distribution, moving from cytoplast especially Golgi’s apparatus to nucleus and accumulating there with the highest concentration. We report here that caspase-3 becomes activated in HT-induced apoptosis of HL-60 cells, which can be inhibited by overexpression of Bcl-2 protein. No sign of apoptosis or intracellular calcium movement from Golgi’s apparatus to nucleus in HL-60 cells overexpressing Bcl-2 or treated with Ac-DEVD-CHO, a specific inhibitor of caspase-3. The results indicate that activated caspase-3 can promote the movement of intracellular calcium from Golgi’s apparatus to nucleus, and the process is inhibited by Ac-DEVD-CHO (inhibitor of caspase-3), and that Bcl-2 can inhibit the movement and accumulation of intracellular calcium in nucleus through its inhibition on caspase3. Calcium relocalization in apoptosis seems to be irreversible, which is different from the intracellular calcium changes caused by growth factor.

关键词： Apoptosis calcium caspase-3 bcl-2 laser scanning confocal microscopy (LSCM).

Weighted weak type estimates for commutators of the Marcinkiewicz integrals

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science china Mathematics 2004年第1期47卷 83-95页

作者： DING Yong, LU Shanzhen & ZHANG Pudepartment of Mathematics, beijing normal university, beijing 100875, china department of Information and Computing science, Zhejiang Institute of science and Technology, Hangzhou 310033, china 1. department of Mathematics Beijing Normal University 100875 Beijing China 2. department of Information and Computing science Zhejiang Institute of Science and Technology 310033 Hangzhou China

In this paper the authors give the weighted weak LlogL type estimates for a class of the higher order commutator generated by the Marcinkiewicz integral and a BMO function. In addition, the weak type norm inequalities... 详细信息

关键词： Marcinkiewicz integral, commutator, Ap weight, weak type estimate.

Coupling, spectral gap and related topics (Ⅱ)

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Chinese science Bulletin 1997年第18期42卷 1409-1416页

作者： CHEN Muf adepartment of Mathematics, beijing normal university, beijing 100875, china department of Mathematics Beijing Normal University Beijing 100875 China

THIS is the second one of a series of three reviews. The ideas introduced in the last review are used to study the estimate of spectral gap and four classes of typical eigenvalue problems on manifolds. The comparison ... 详细信息

关键词： diffusions manifold Markov chains spectral gap couplings.

INFLUENCE OF ASSOCIATED AND SEPARATE PRECIPITATION OF γ″ AND γ′ ON STRUCTURE STABILITY IN INCONEL718 AND MODIFIED ALLOYS

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Acta Metallurgica Sinica(English Letters) 1993年第6期6卷 410-414页

作者： DONG jianxin XIE Xishan ZHANG Shouhua university of science and Technology beijing,beijing,china doctorate student,department of materials science and engineering,university of science and Technology beijing,beijing 100083,china Univ of science and Technology Beijing Beijing China

The precipitation behavior in Inconel 718 and modified alloys has been studied by means of *** structure of associated precipitation and compact morphology of γ″+γ′ were ob- tained by modifying the contents of Al,Ti and *** results show that the com- pact morphology of γ″+γ′ has the best structure stability at higher *** of the transformation γ″→δ in alloy 718 the dissolution of strengthening phases in modified alloy leads material degradation.

关键词： superalloy structure stability associated precipitation compact morphology Inconel 718

A MASSIVE TRANSFORMATION MECHANISM IN Ti-48Al ALLOY

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中国有色金属学会会刊：英文版 1996年第3期6卷 68-73页

作者： Wen Cuie Lin Jianguo Chen Changqi(department of materials science and engineering, beijing university of Aeronautics and Astronautics, beijing 100083) beijing UNIV AERONAUT & ASTRONAUT DEPT MAT SCI & ENGN BEIJING 100083 PEOPLES R CHINA

ＡＭＡＳＳＩＶＥＴＲＡＮＳＦＯＲＭＡＴＩＯＮＭＥＣＨＡＮＩＳＭＩＮＴｉ－４８ＡｌＡＬＬＯＹ￥ＷｅｎＣｕｉｅ；ＬｉｎＪｉａｎｇｕｏ；ＣｈｅｎＣｈａｎｇｑｉ（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｅｒｉａｌｓＳｃｉｅｎｃｅａｎｄ... 详细信息

ＡＭＡＳＳＩＶＥＴＲＡＮＳＦＯＲＭＡＴＩＯＮＭＥＣＨＡＮＩＳＭＩＮＴｉ－４８ＡｌＡＬＬＯＹ￥ＷｅｎＣｕｉｅ；ＬｉｎＪｉａｎｇｕｏ；ＣｈｅｎＣｈａｎｇｑｉ（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｅｒｉａｌｓＳｃｉｅｎｃｅａｎｄＥｎｇｉｎｅｅｒｉｎｇ，Ｂｅｉｊｉ...

关键词： TiAl alloy massive transformation diffusion controlled ledge growth mechanism

NON-EQUILIBRIUM SEGREGATION OF Si ON Al-0.35 wt-% Si ALLOY SURFACE

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Acta Metallurgica Sinica(English Letters) 1993年第8期6卷 98-101页

作者： CHEN Niug YU Zongsen university of science and Technology beijing,beijing,china professor,department of materials Physics,university of science and Technology beijing,beijing 100083,china beijing Univ of science and Technology Beijing China

Si segregation was observed in the vacancy condensation pits,formed by supersaturated vacancies beneath the oxidation layer of Al-0.35wt-％Si alloy,by optical microscopy,X- ray photoelectron spectroscopy and microhard... 详细信息

关键词： non-equilibrium segregation vacancy AI-Si alloy surface Si

Theoretical studies on the mechanism of the thermal decarboxylation and decarbonylation of a number of α-keto-acids

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Chinese Journal of Chemistry 1995年第6期13卷 487-492页

作者： CHEN,Li-Tao CHEN,Guang-Ju FU,Xiao-YuanChemistry department,beijing normal university,beijing 100875,china Chemistry department Beijing Normal University Beijing 100875 China

Both processes of decarboxylation and decarbonylation of a number of acids including RCOCO2H,R=H,CH3,CH2F,CF3,CH=CH2,Ph,OH have been studied by semi-empirical MO theory AMI method to verify the reaction mechanism of each process and the effect of different substituents on *** calculated results are consistent with the experimental reports and can be summed up as follows:(1) The decarboxylation of these acids to form aldehydes and carbon dioxide is concerted and takes place through a 4-membered ring transition state in which a partial negative charge develops on the carbon of the α-carbonyl group,so that the inductive effect of some substituents is favourable for this process.(2) Their decarbonylation into carboxylic acids and carbon monoxide however is the attack of the OH on the carbon of the alkyl portion of the acid,forming a 3-membered ring transition state.(3) The activation energy of decarbonylation is lower than that of decarboxylation,since oxygen is more nucleophilic than hydrogen and also the strong OH bond need not to be broken.

关键词： Decarboxylation decarbonylation a-keto-acid