检索结果-南通市图书馆

Some results on numerical divided difference formulas

在线全文

学校读者我要写书评

暂无评论

Science China mathematics 2005年第11期48卷 1441-1450页

作者： Wang Xinghua,Wang Heyu & Ming-Jun Lai department of mathematics, Zhejiang university, Hangzhou 310028, China Computing Center, Zhejiang university, Hangzhou 310012, China department of mathematics, university of georgia, athens, ga 30602.7403, usa 1. department of mathematics Zhejiang University 310028 Hangzhou China 2. Computing Center Zhejiang University 310012 Hangzhou China 3. department of mathematics University of Georgia 30602-7403 Athens GA USA

The remainder estimates of numerical divided difference formula are given for the functions of lower and higher smoothness, respectively. Then several divided difference formulas with super-convergence are derived wit... 详细信息

关键词： numerical divided difference remainder estimate functions of lower smoothness sufficiently smooth functions super convergence.

Occupation Measures of Singularly Perturbed Markov Chains with Absorbing States

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Sinica,English Series 2000年第1期16卷 161-180页

作者： G.Yin~(1)) department of mathematics,Wayne State university,Detroit,MI 48202,usaQ.Zhang~(2)) department of mathematics,university of georgia,athens,ga 30602,usaG.Badowski~(3)) department of mathematics,Wayne State university,Detroit,MI 48202,usa department of mathematics Wayne State University Detroit MI 48202 USA department of mathematics University of Georgia Athens GA 30602 USA

This paper develops asymptotic properties of singularly perturbed Markov chains with inclusion of absorbing *** focuses on both unscaled and scaled occupation *** mild conditions,a mean-square estimate is *** averaging the fast components,we obtain an aggregated *** the aggregated process itself may be non-Markovian,its weak limit is a Markov chain with much smaller state ***,a suitably scaled sequence consisting of a component of scaled occupation measures and a component of the aggregated process is shown to converge to a pair of processes with a switching diffusion component.

关键词： Singularly perturbed Markov chain Occupation measure Aggregation Absorbing state Weak convergence Switching diffusion

Thermal Diversities of Two Na^+/H^+ Exchanges in Guinea Pig Red Cells

在线全文

学校读者我要写书评

暂无评论

Biomedical and Environmental Sciences 2001年第3期14卷 171-179页

作者： JI HONG-LONG 1department of Cellular Biology, university of georgia, athens, georgia 30602, usa department of Cellular Biology University of Georgia Athens Georgia 30602 USA. ji@physiology.uab.edu

Objective\ To test the effect of hypothermia on Na+/H+ exchange, activated by shrinkage and cytoplasmic acidosis. Method\ Amiloride-sensitive Na+ influx in guinea pig red cells was traced with isotope 22Na and intracellular Na+ concentration was measured by emission flame photometry. Result\ Amiloride-sensitive Na+ influx decreased linearly as a function of temperatures (about 37℃) in shrunken cells, but increased in acidified cells. The up-regulation of acid-induced Na+/H+ exchange by elevated temperature was enhanced by hypo-osmolarity. Less sensitivity of intracellular H+ site at 41℃ may be the mechanism for the inhibition of shrinkage-induced Na+/H+ exchange by elevated temperature. Heating-mediated explosive increase in the activity of acid-induced Na+/H+ exchange may be due to enhanced extracellular Na+ sensitivity and lower intracellular pH caused by acidic metabolites. Acid-induced Na+/H+ ewxchange contributes to cytoplasmic Na+ accumulation. Conclusion\ These two modes of Na+/H+ exchange with different response to elevated temperature may play different roles in the cellular pathogenesis of heatstroke.

关键词： Animals Cell Culture Techniques Erythrocytes Guinea Pigs Heat Stroke Hydrogen Ion Exchange Research Support, U.S. Gov't, Non-P.H.S. Sodium Temperature

SYMPLECTIC SCHEMES FOR QUASILINEAR WAVE EQUATIONS OF KLEIN-GORDON AND SINE-GORDON TYPE

在线全文

学校读者我要写书评

暂无评论

Journal of Computational mathematics 2001年第5期19卷 475-488页

作者： Xiao-wu Lu (department of mathematics and Computer Science, Emory university, Atlanta, ga 30322, usa) Emory university 美国 30322

Presents a class of finite difference methods of first and second order accuracy for the computation of solutions to the quasilinear wave equations. Overview of general symplectic schemes and generating functional; Nu... 详细信息

关键词： Symplectic integration Sine-Gordon equations Finite difference method.

Downstaging strategies for unresectable hepatocellular carcinoma

在线全文

学校读者我要写书评

暂无评论

World Journal of gastroenterology 2024年第20期30卷 2731-2733页

作者： georgia Sofia Karachaliou Nikolaos Dimitrokallis Dimitrios P Moris Division of gastroenterology Department of MedicineDuke University Medical CenterDurhamNC 27710United States First department of Surgery&Organ Transplant Unit Evangelismos General HospitalAthens 10676Greece department of Surgery Duke University Medical CenterDurhamNC 27710United States

A significant number of patients with hepatocellular carcinoma(HCC)are usually diagnosed in advanced stages,that leads to inability to achieve *** options are focusing on downstaging a locally advanced *** is wellsupported in the literature that patients with HCC who undergo successful conversion therapy followed by curative-intent surgery may achieve a significant survival benefit compared to those who receive chemotherapy alone or those who are successfully downstaged with conversion therapy but not treated with *** artery infusion chemotherapy can be a potential downstaging strategy,since recent studies have demonstrated excellent outcomes in patients with colorectal liver metastatic disease as well as primary liver malignancies.

关键词： Unresectable hepatocellular carcinoma Hepatic arterial infusion chemotherapy Downstaging Hepatocellular carcinoma

Time to say goodbye: from Barcelona to Milan and the modern management of hepatocellular carcinoma

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Hepatobiliary Surgery and Nutrition 2024年第3期13卷 548-550页

作者： georgia Sofia Karachaliou Nikolaos Dimitrokallis Dimitrios Moris Division of gastroenterology Department of MedicineDuke University Medical CenterDurhamNCUSA st department of Surgery&Organ Transplant Unit Evangelismos General HospitalAthensGreece department of Surgery Duke University Medical CenterDurhamNCUSA

Hepatocellular carcinoma(HCC)is the most common primary liver malignancy and one of the most common causes of cancer-related death with the projection to increase during the next few decades(1).During the last 3 decades,several staging systems have been introduced for the stratification of the prognosis and management of HCC of all *** is no consensus regarding the universal implementation of one staging system since all the proposed classifications have limitations(2).The Barcelona Clinic Liver Cancer(BCLC)Staging System remains the most widely classification system used for HCC management guidelines that incorporates tumor size,presence of metastatic disease,portal hypertension,Child-Turcotte-Pugh score,total bilirubin and performance ***,it does not account for tumoral behavior,and it is very“conservative”(restrictive)regarding resectability,especially for BCLC-B patients who might benefit from surgical management(3,4).Recent advances in systemic and locoregional therapies have led to changes in many guidelines regarding systemic therapy,as well as the possibility for downstaging patients to undergo surgery or transplant with curative intent.

关键词： Hepatocellular carcinoma(HCC) Barcelona Clinic Liver Cancer(BCLC) tumor burden score

Enhancement of endogenous midbrain neurogenesis by microneurotrophin BNN-20 after neural progenitor grafting in a mouse model of nigral degeneration

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Neural Regeneration Research 2024年第6期19卷 1318-1324页

作者： Theodora Mourtzi Nasia Antoniou Christina Dimitriou Panagiotis Gkaravelas georgia Athanasopoulou Panagiota Nti Kostantzo Olga Stathi Efthymia Theodorou Maria Anesti Rebecca Matsas Fevronia Angelatou georgia Kouroupi Ilias Kazanis Laboratory of Developmental Biology Department of BiologyUniversity of PatrasPatrasGreece Laboratory of Cellular and Molecular Neurobiology-Stem Cells Hellenic Pasteur InstituteAthensGreece department of Physiology School of MedicineUniversity of PatrasPatrasGreece

We have previously shown the neuroprotective and pro-neurogenic activity of microneurotrophin BNN-20 in the substantia nigra of the“weaver”mouse,a model of progressive nigrostriatal ***,we extended our investigation in two clinically-relevant ***,we assessed the effects of BNN-20 on human induced pluripotent stem cell-derived neural progenitor cells and neurons derived from healthy and parkinsonian ***,we assessed if BNN-20 can boost the outcome of mouse neural progenitor cell intranigral transplantations in weaver mice,at late stages of *** found that BNN-20 has limited direct effects on cultured human induced pluripotent stem cell-derived neural progenitor cells,marginally enhancing their differentiation towards neurons and partially reversing the pathological phenotype of dopaminergic neurons generated from parkinsonian *** agreement,we found no effects of BNN-20 on the mouse neural progenitor cells grafted in the substantia nigra of weaver ***,the graft strongly induced an endogenous neurogenic response throughout the midbrain,which was significantly enhanced by the administration of microneurotrophin *** results provide straightforward evidence of the existence of an endogenous midbrain neurogenic system that can be specifically strengthened by ***,the lack of major similar activity on cultured human induced pluripotent stem cell-derived neural progenitors and their progeny reveals the in vivo specificity of the aforementioned pro-neurogenic effect.

关键词： adult neurogenesis BNN-20 brain-derived neurotrophic factor cell replacement induced pluripotent stem cells(iPSCs) neurotrophic factors Parkinson's disease substantia

Boundary Layer Theory and the Zero-Viscosity Limit of the Navier-Stokes Equation

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Sinica,English Series 2000年第2期16卷 207-218页

作者： Weinan E department of mathematics and Program in Applied and Computational mathematics,Princeton university,usa department of mathematics and Program in Applied and Computational mathematics Princeton University Princeton USA

A central problem in the mathematical analysis of fluid dynamics is the asymptotic limit of the fluid flow as viscosity goes to *** is particularly important when boundaries are present since vorticitv is typically generated at the boundary as a result of boundary layer *** boundary laver theory,developed by Prandtl about a hundred years ago,has become a standard tool in addressing these *** at the mathematical level,there is still a lack of fundamental understanding of these questions and the validity of the boundary layer *** this article,we review recent progresses on the analysis of Prandtl’s equation and the related issue of the zero-viscosity limit for the solutions of the Navier-Stokes *** also discuss some directions where progress is expected in the near future.

关键词： Boundary layer Blow-up Zero-viscosity limit Prandtl’s equation

On the Residues of Binomial Coefficients and Their Products Modulo Prime Powers

在线全文

学校读者我要写书评

暂无评论

Acta Mathematica Sinica,English Series 2002年第2期18卷 277-288页

作者： CAI Tian Xin department of mathematics.Zhejiang university.Hangzhou 310028,P.R.China E-mail:trcai@mail.hz.zj.cnGRANVILLE Andrew department of mathematics,university of georgia.athens,ga 30602.usa E-mail:andrew@sophie.math.uga.edu department of mathematics Zhejiang University Hangzhou P. R. China department of mathematics University of Georgia Athens USA

In this paper,we show several arithmetic properties on the residues of binomial coefficients and their products modulo prime powers,e.g.. for any distinct odd primes p and *** discuss the connections with the prime r... 详细信息

关键词： Binomial coefficients Bernoulli numbers Recognizing primes