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Search Results: 1 - 10 of 17198 matches for " LIAO Xia "
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Cardiovascular Diseases Detecting via Pulse Analysis  [PDF]
Jingjing Xia, Simon Liao
Engineering (ENG) , 2013, DOI: 10.4236/eng.2013.510B038
Abstract:

In this research, we have performed pulse analysis on the data of 127 subjects collected from Department of Cardiology at Shandong Provincial Hospital in China. By taking the first and third derivatives of an entire pulse wave, we have firstly identified the locations of wave foot, systolic peak, and reflected point. Then we calculated Reverse Shoulder Index (RSI) and Ratio of Distance of the evaluated subjects, and correlated them to age, the history of hypertension, and different cardiovascular diseases of the subjects.

Stable Birational Equivalence and Geometric Chevalley-Warning
Xia Liao
Mathematics , 2011,
Abstract: We propose a 'geometric Chevalley-Warning' conjecture, that is a motivic extension of the Chevalley-Warning theorem in number theory. It is equivalent to a particular case of a recent conjecture of F. Brown and O.Schnetz. In this paper, we show the conjecture is true for linear hyperplane arrangements, quadratic and singular cubic hypersurfaces of any dimension, and cubic surfaces in $\Pbb^3$. The last section is devoted to verifying the conjecture for certain special kinds of hypersurfaces of any dimension. As a by-product, we obtain information on the Grothendieck classes of the affine 'Potts model' hypersurfaces considered in \cite{aluffimarcolli1}.
Chern Classes of Logarithmic Derivations for Free Divisors with Jacobian Ideal of Linear Type
Xia Liao
Mathematics , 2012,
Abstract: Let $X$ be a nonsingular variety defined over an algebraically closed field of characteristic 0, and $D$ be a free divisor with Jacobian ideal of linear type. We compute the Chern class of the sheaf of logarithmic derivations along $D$ and compare it with the Chern-Schwartz-MacPherson class of the hypersurface complement. Out result establishes a conjecture by Aluffi raised in \cite{hyparr}.
Chern Classes Of Logarithmic Vector Fields For Locally-Homogenous Free Divisors
Xia Liao
Mathematics , 2012,
Abstract: Let $X$ be a nonsingular complex projective variety and $D$ a locally quasi-homogeneous free divisor in $X$. In this paper we study a numerical relation between the Chern class of the sheaf of logarithmic derivations on $X$ with respect to $D$, and the Chern-Schwartz-MacPherson class of the complement of $D$ in $X$. Our result confirms a conjectural formula for these classes, at least after push-forward to projective space; it proves the full form of the conjecture for locally quasi-homogeneous free divisors in $\mathbb P^n$. The result generalizes several previously known results. For example, it recovers a formula of M. Mustata and H. Schenck for Chern classes for free hyperplane arrangements. Our main tools are Riemann-Roch and the logarithmic comparison theorem of Calderon-Moreno, Castro-Jimenez, Narvaez-Macarro, and David Mond. As a subproduct of the main argument, we also obtain a schematic Bertini statement for locally quasi-homogeneous divisors.
Chern Classes of Logarithmic Vector Fields
Xia Liao
Mathematics , 2012,
Abstract: Let $X$ be a nonsingular complex variety and $D$ a reduced effective divisor in $X$. In this paper we study the conditions under which the formula $c_{SM}(1_U)=c(\textup{Der}_X(-\log D))\cap [X]$ is true. We prove that this formula is equivalent to a Riemann-Roch type of formula. As a corollary, we show that over a surface, the formula is true if and only if the Milnor number equals the Tjurina number at each singularity of $D$. We also show the Rimann-Roch type of formula is true if the Jacobian scheme of $D$ is nonsingular or a complete intersection.
A cohomological interpretation of derivations on graded algebras
Xia Liao,Mathias Schulze
Mathematics , 2014,
Abstract: We trace derivations through Demazure's correspondence between a finitely generated positively graded normal $k$-algebras $A$ and normal projective $k$-varieties $X$ equipped with an ample $\mathbb{Q}$-Cartier $\mathbb{Q}$-divisor $D$. We obtain a generalized Euler sequence involving a sheaf on $X$ whose space of global sections consists of all homogeneous $k$-linear derivations of $A$ and a sheaf of logarithmic derivations on $X$.
Quasihomogeneous free divisors with only normal crossings in codimension one
Xia Liao,Mathias Schulze
Mathematics , 2014,
Abstract: We prove that any divisor as in the title must be normal crossing.
Preparation of Porous Biodegradable Polymer and Its Nanocomposites by Supercritical CO2 Foaming for Tissue Engineering
Xia Liao,Haichen Zhang,Ting He
Journal of Nanomaterials , 2012, DOI: 10.1155/2012/836394
Abstract: Using supercritical carbon dioxide (scCO2) as an alternative to conventional methods in the preparation of porous biodegradable polymer and polymer/nanocomposites for tissue engineering has attracted increasing interest in recent years due to the absence of using organic solvents and the ability to incorporate thermosensitive biologicals without loss of bioactivity. Additionally, scCO2 can exert a high level of control over porosity and morphology of scaffolds by tuning the processing parameters. This paper describes the newly achievements on the preparation of porous polymer materials using scCO2 foaming technology with focus on the porous biodegradable materials and its nanocomposites relevant to tissue engineering.
Neuroprotective Effects of Sodium Ferulate and Its Antidepressant-Like Effect Measured by Acute and Chronic Experimental Methods in Animal Models of Depression  [PDF]
Yongping Zhang, Lijian Yu, Yanping Wang, Mingneng Liao, Xia Zhang, Rundi Ma, Xiaoyu Zhang, Tingxi Yu
Journal of Behavioral and Brain Science (JBBS) , 2011, DOI: 10.4236/jbbs.2011.12006
Abstract: Antidepressants with novel targets and without side effects are in great demand. Ferulic acid (FA) is a ubiquitous phenolic acid of low toxicity, and sodium ferulate (SF) is its sodium salt. Our previous studies have revealed that FA and SF show significant protective effect on excitotoxicity, we now test its potential neuroprotective and antidepressant-like effects. MTT assay and morphological analysis by fluorescence microscopy were adopted to measure the neuroprotective effects of SF; forced-swimming, tail-suspension, and chronic mild stress (CMS) tests were performed to assess its antidepressant-like activity. The results showed that SF had protection against H2O2-induced oxidative damage and dexamethasone (DXM)-induced neurotoxicity pheochromocytoma (PC12) cells. Acute administration of SF markedly decreased the duration of immobility during forced-swimming in rats and mice and tail-supension tests in mice. However, SF has no any effects on reserpine-induced hypothermia, 5-hydroxytryptophan-induced head-twitch response, and potentiation of noradrenaline toxicity in mice. Chronic administration of SF reversed the effects of CMS on consumption of food and sucrose solution, weight gain, and histopathology of hippocampus by light microscopy, and potently shortened the immobility time during forced-swimming test following CMS in rats. This study provides evidence that SF possesses obviously antidepressant-like activity, and the antidepressant-like effect may result from its neuroprotective effects.
Biological effects of EV71 infection in neural cells  [PDF]
Xia Cao, Li-Chun Wang, Long-Ding Liu, Yun Liao, Cheng-Hong Dong, Qi-Han Li
Journal of Biophysical Chemistry (JBPC) , 2010, DOI: 10.4236/jbpc.2010.12014
Abstract: Enterovirus 71 (EV71) can cause serious nervous system lesions but to date the pathogenesis has been unclear. Our results show that EV71 proliferates in the neural cells and leads to neural cell lesions. The study of the pathology of EV71 infection in neonatal rat brains shows that the invasive ability of EV71 to the nervous system in vivo may depend on many unknown factors.
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