检索结果-南通市图书馆

河南师范大学学报（自然科学版） 2024年第4期52卷 87-93页

作者：黄华雄蒲学科广州大学数学与信息科学学院广州510006

主要研究了具有无穷磁雷诺数的三维磁微极流体方程在T^(3)上的Cauchy问题的整体适定性,证明了当初始磁场很接近于背景磁场并且也满足丢番图条件时,该Cauchy问题是整体适定的.

关键词：磁微极流体方程丢番图条件整体适定性

A Constrained Level Set Method for Simulating the Formation of Liquid Bridges

维普期刊数据库

同方期刊数据库

同方期刊数据库评论

在线全文

学校读者我要写书评

暂无评论

Communications in Computational Physics 2012年第7期12卷 577-594页

作者： Dongdong He huaxiong huang Department of Mathematics and Statistics York UniversityTorontoOntarioCanada M3J 1P3

In this paper,we investigate the dynamic process of liquid bridge formation between two parallel hydrophobic plates with hydrophilic patches,previously studied in[1].We propose a dynamic Hele-Shaw model to take advantage of the small aspect ratio between the gap width and the plate size.A constrained level set method is applied to solve the model equations numerically,where a global constraint is imposed in the evolution[2]stage together with local constraints in the reinitialization[3]stage of level set function in order to limit numerical mass *** contrast to the finite element method used in[2],we use a finite difference method with a 5th order HJWENO scheme for spatial *** illustrate the effectiveness of the constrained method,we have compared the results obtained by the standard level set method with those from the constrained *** results show that the constrained level set method produces physically reasonable results while that of the standard method is less *** numerical results also show that the dynamic nature of the flow plays an important role in the process of liquid bridge formation and criteria based on static energy minimization approach has limited applicability.

关键词： Constrained level setmethod Hele-Shaw liquid bridges mass conservation moving interface

Numerical Simulation for a Droplet Fission Process of Electrowetting on Dielectric Device

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Communications in Computational Physics 2010年第5期7卷 1076-1094页

作者： Dongdong He huaxiong huang Yongji Tan School of Mathematical Sciences Fudan UniversityShanghaiChina Department of Mathematics and Statistics York UniversityTorontoCanada

Electrowetting has been proposed as a technique for manipulating dropletssurrounded by air or oil. In this paper, we discuss the modeling and simulation of thedroplet fission process between two parallel plates inside an electrowetting on dielectric (EWOD) device. Since the gap between the plates is small, we use the two-phaseHele-Shaw flow as a model. While there are several high order methods around, suchas the immersed interface methods [1, 2], we decide to use two first-order methods forsimplicity. A ghost-fluid (GF) method is employed to solve the governing equationsand a local level set method is used to track the drop interface. For comparison purposes, the same set of two-phase Hele-Shaw equations are also solved directly usingthe immersed boundary (IB) method. Numerical results are consistent with experimental observations reported in the literature.

关键词： Electrowetting ghost fluid method Hele-Shaw equations immersed boundary method local level set method microfluidics moving interface two-phase flow

A dynamic model of calcium signaling in mast cells and LTC_4 release induced by mechanical stimuli

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Chinese Science Bulletin 2014年第10期59卷 956-963页

作者： Wei Yao huaxiong huang Guanghong Ding Department of Mechanics and Engineering Science Fudan University Department of Mathematics and Statistics York University

Mast cells(MCs) play an important role in the immune system. It is known that mechanical stimuli can induce intracellular Ca2+signal and release a variety of mediators, including leukotriene C4(LTC4), leading to other cellular and physiological changes. In this paper, we present a mathematical model to explore signalling pathways in MCs, by including cellular mechanisms for intracellular Ca2t increase and LTC4release in response to mechanical stimuli, thapsigargin(TG, SERCA pump inhibitor), and LTC4 stimuli. We show that(i) mechanical stimuli activate mechano-sensitive ion channels and induce inward ion fluxes and Ca2?entry which increases intracellular Ca2+concentration and releases LTC4;(ii) TG inhibits SERCA pumps, empties the internal Ca2+ stores,which activates Ca2+release-activated Ca2+channels and results in sustained intracellular Ca2+increase; and(iii)LTC4activates receptors on MCs surface and increases intracellular Ca2+concentration. Our results are consistent with experimental observations, and furthermore, they also reveal that mechanical stimuli can increase intracellular Ca2+even when LTC4release is blocked, which suggests a feed forward loop involved in LTC4production. This study may facilitate our understanding of the mechanotransduction process in MCs and provide a useful modeling tool for quantitatively analyzing immune mechanisms involving MCs.

关键词： cells Calcium signaling LTC4 release Dynamics Mechanical stimuli

A Numerical Study of Passive Receptor-Mediated Endocytosis of Nanoparticles:The Effect of Mechanical Properties

维普期刊数据库

同方期刊数据库评论

在线全文

学校读者我要写书评

暂无评论

Computer Modeling in Engineering & Sciences 2018年第8期116卷 281-300页

作者： Xinyue Liu Yunqiao Liu Xiaobo Gong huaxiong huang Key Laboratory of Hydrodynamics(Ministry of Education) Department of Engineering MechanicSchool of Naval ArchitectureOcean and Civil EngineeringShanghai Jiao Tong UniversityShanghai200240China. Department of Mathematics and Statistics York UniversityTorontoOntarioM3J1P3Canada.

In this work,a three-dimensional axisymmetric model with nanoparticle,receptor-ligand bonds and cell membrane as a system was used to study the quasi-static receptor-mediated endocytosis process of spherical nanoparticles in drug *** minimization of the system energy function was carried out numerically,and the deformations of nanoparticle,receptor-ligand bonds and cell membrane were *** show that passive endocytosis may fail due to the rupture of receptor-ligand bonds during the wrapping process,and the size and rigidity of nanoparticles affect the total deformation energy and the terminal wrapping *** results suggest that,in addition to the energy requirement,the success of passive endocytosis also depends on the maximum strength of the receptor-ligand bonds.

关键词： Receptor-mediated endocytosis nanoparticle uptake optimization method receptor-ligand bonds drug delivery

Influenza Viral Membrane Deformation Due to Refolding of HA-Protein:Two-dimensional Model and Analysis

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Advances in Applied Mathematics and Mechanics 2010年第2期2卷 160-182页

作者： Naveen K.Vaidya huaxiong huang Theoretical Biology and Biophysics Group MS K710Los Alamos National LaboratoryLos AlamosNM 87545USA Department of Mathematics and Statistics York UniversityTorontoM3J 1P3Canada

In this paper we study influenza viral membrane deformation related to the refolding of Hemagglutinin(HA)*** focus of the paper is to understand membrane deformation and budding due to experimentally observed linear HA-protein clusters,which have not been mathematically studied *** viral membrane is modeled as a two dimensional incompressible lipid bilayer with bending *** tensionless membranes,we derive an analytical solution while for membrane under tension we solve the problem *** solution for tensionless membranes shows that the height of membrane deformation increases monotonically with the bending moment exerted by HA-proteins and attains its maximum when the size of the protein cluster reaches a critical *** results also show that the hypothesis of dimple formation proposed in the literature is valid in the two dimensional *** comparative study of axisymmetric HA-clusters and linear HA-clusters reveals that the linear HA-clusters are not favorable to provide a sufficient energy required to overcome an energy barrier for a successful fusion,despite their capability to cause membrane deformation and budding.

关键词： Hemagglutinin protein Influenza virus Membrane deformation Membrane fusion

Effect of Ocean Iron Fertilization on the Phytoplankton Biological Carbon Pump

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Advances in Applied Mathematics and Mechanics 2011年第1期3卷 52-64页

作者： Adam Pan Babak Pourziaei huaxiong huang Department of Mathematics and Statistics York UniversityTorontoOntarioCanada M3J 1P3 Program of Engineering Science University of TorontoTorontoOntarioCanada M5S 1A1

It has been proposed that photosynthetic plankton can be used as a biological carbon pump tp absorb and sequester carbon dioxide in the *** this paper,plankton population dynamics are simulated in a single stratified water column to predict carbon dioxide sequestering due to surface iron fertilization in deep *** a predator-prey model and realistic parameter values,iron fertilization was found to only cause temporary blooms up to 5 months in duration,and relatively small increases in adsorption of atmospheric CO_(2).

关键词： Phytoplankton carbon dioxide iron fertilization carbon pump

Numerical Simulation of Moving Contact Lines with Surfactant by Immersed Boundary Method

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Communications in Computational Physics 2010年第9期8卷 735-757页

作者： Ming-Chih Lai Yu-Hau Tseng huaxiong huang Center of Mathematical Modeling and Scientific Computing Department of Applied Mathematics National Chiao Tung University1001Ta Hsueh RoadHsinchu 300Taiwan Department of Mathematics and Statistics York UniversityTorontoOntarioM3J 1P3Canada

In this paper,we present an immersed boundary method for simulating moving contact lines with *** governing equations are the incompressible Navier-Stokes equations with the usual mixture of Eulerian fluid variables and Lagrangian interfacial *** immersed boundary force has two components:one from the nonhomogeneous surface tension determined by the distribution of surfactant along the fluid interface,and the other from unbalanced Young’s force at the moving contact *** artificial tangential velocity has been added to the Lagrangian markers to ensure that the markers are uniformly distributed at all *** corresponding modified surfactant equation is solved in a way such that the total surfactant mass is *** experiments including convergence analysis are carefully *** effect of the surfactant on the motion of hydrophilic and hydrophobic drops are investigated in detail.

关键词： Immersed boundary method interfacial flow Navier-Stokes equations surfactant moving contact line hydrophilic drop hydrophobic drop wetting

Coarse Grained Molecular Dynamics Simulation of Interaction between Hemagglutinin Fusion Peptides and Lipid Bilayer Membranes

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Advances in Applied Mathematics and Mechanics 2010年第4期2卷 430-450页

作者： Naveen K.Vaidya huaxiong huang Shu Takagi Theoretical Biology and Biophysics Group MS K710Los Alamos National LaboratoryLos AlamosNM 87545 USA Department of Mathematics and Statistics York UniversityTorontoM3J 1P3 Canada Organ and Body Scale Team Computational Science Research ProgramRiken Department of Mechanical Engineering The University of TokyoTokyoJapan

Microscopic level interaction between fusion-peptides and lipid bilayer membranes plays a crucial role in membrane fusion,a key step of viral *** this paper,we use coarse-grained molecular dynamics(CGMD)simulations to study the interaction between hemagglutinin fusion-peptides and phospholipid bilayer *** CGMD,we are able to simulate the interaction of fusion peptides with a relatively large piece of membrane for a sufficiently long time period,which is necessary for a detailed understanding of the fusion process.A conformation of the peptide with a kink at the level of phosphate group is obtained,consistent with NMR and EPR *** results show that the N-terminal segment of the peptide inserts more deeply into the membrane bilayer compared to the C-terminal segment,as observed in previous *** simulations also show that the presence of fusion peptides inside the membrane may cause bilayer thinning and lipid molecule ***,our results reveal that peptides tend to aggregate,indicating cluster formation as seen in many experiments.

关键词： Coarse-grained molecular dynamics fusion peptide hemagglutinin protein phospholipid bilayer membrane fusion

ASimplified Neuronal Model for the Instigation and Propagation of Cortical Spreading Depression

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Advances in Applied Mathematics and Mechanics 2011年第6期3卷 759-773页

作者： huaxiong huang Robert M.Miura Wei Yao Department of Mathematics and Statistics York UniversityTorontoOntario M3J1P3Canada Center for Applied Mathematics and Statistics New Jersey Institute of TechnologyNewarkNJ 07102USA Department of Mathematical Sciences New Jersey Institute of TechnologyNewarkNJ 07102USA Department of Mechanics and Engineering Science Fudan UniversityShanghai 200433China

In this paper,we construct a simplified neuronal model that is capable of simulating the instigation of cortical spreading depression(CSD)and propagation of a CSD *** model is a simplification and extension of a single neuron model proposed in the literature for studying the instigation of *** the simplified neuronal model,we construct a network of these simplified *** network model shows that the propagation of a CSD wave occurs naturally after it is instigated electrically or *** the model is simple,the speed of the CSD wave predicted by our model is consistent with experimentally observed ***,our model allows us to investigate the effects of specific ion channels on the spread of a CSD wave.

关键词： Cortical spreading depression neuronal model network numerical simulation