简介:Theextinctionphenomenoninducedbymultiplicativenon-GaussianL′evynoiseinatumorgrowthmodelwithimmuneresponseisdiscussed.Undertheinfluenceofthestochasticimmunerate,themodelisanalyzedintermsofastochasticdifferentialequationwithmultiplicativenoise.BymeansofthetheoryoftheinfinitesimalgeneratorofHuntprocesses,theescapeprobability,whichisusedtomeasurethenoise-inducedextinctionprobabilityoftumorcells,isexplicitlyexpressedasafunctionofinitialtumorcelldensity,stabilityindexandnoiseintensity.Basedonthenumericalcalculations,itisfoundthatfordifferentinitialdensitiesoftumorcells,noiseparametersplayoppositerolesontheescapeprobability.Theoptimallyselectedvaluesofthemultiplicativenoiseintensityandthestabilityindexarefoundtomaximizetheescapeprobability.
简介:Intheprocessofoxidativephosphorylation,protonsarepumpedintotheintermembranespacetoestablishthemitochondrialmembranepotential(MMP).Relyingontheelectrochemicalgradient,protonscanreturntothematrixthroughtheATPsynthasecomplexwithATPgeneration.MitoQ,alipophiliccationdrug,canbebsorbedtotheinnermitochondrialmembranewiththecationicmoietystayingattheintermembranespace[1].
简介:我们与紧缩、光滑的边界在n在一般的域为不可压缩的液体学习海军司烧方程的起始边界的值问题,题目到运动学并且非扁平的边界上的涡度边界条件。我们观察到在nonhomogeneous边界条件下面,压力p能被为泊松方程解决Neumann问题仍然恢复。然后,我们建立well-posedness不稳定司烧方程并且采用答案与绝对边界条件把我们的起始边界的价值问题简化为一个起始边界的价值问题。基于这,我们首先与绝对边界条件和起始的条件为一个适当本地线性化的问题建立well-posedness(没有不可压缩性条件),它建立印射的速度。然后,我们为印射的速度开发自原因推及结果的估计,特别为印射处理复杂边界的时间衍生物包含Sobolev标准调节,它导致印射和我们的起始边界的值问题的答案的存在的固定的点的存在。最后,当粘性系数趋于时,我们建立那零,在n的起始边界的价值问题的强壮的答案(n鈮?3)在L2与nonhomogeneous涡度边界状况收敛到相应Euler方程令人满意运动学的条件。
简介:这份报纸与uncertain-but-bounded参数或起始的条件为非线性的系统的动态反应分析用衍生物信息建议一个新非恼人的混合间隔方法。这个方法与存在多项式近似间隔方法相比提供更紧密的答案范围。用Chebyshev基础的间隔算术和用一般形式的间隔算术修改了仿射的基础因为多项式被开发为间隔计算获得更紧密的界限。为了进一步减少overestimation,由间隔算术的包的效果引起了,当动态回答是关于所有不明确的变量的monotonic时,动态回答的衍生物信息被用来完成准确溶液。最后,有非线性的二个典型数字例子被使用特别地,表明建议混合间隔方法的有效性它有效地为特定的timepoints控制overestimation的能力。
简介:LetT_1beasingularintegralwithnon-smoothkernelor±I,letT_2andT_4bethelinearoperatorsandletT_3=±I.DenotetheToeplitztypeoperatorbyT~b=T_1M~bI_αT_2+T_3I_αM~bT_4,whereM~bf=bf,andI_αisthefractionalintegraloperator.Inthispaper,weinvestigatetheboundednessoftheoperatorT~bontheweightedMorreyspacewhenbbelongstotheweightedBMOspace.
简介:Theproblemconsideredhereistheresponseofanon-homogeneouscompositematerialcontainingsomecrackssubjectedtodynamicloading.Itisassumedthatthecompositematerialisor-thotropicandallthematerialpropertiesdependonlyonthecoordinatey(alongthethicknessdirection).Intheanalysis,theelasticregionisdividedintoanumberofpliesofinfinitelength.Thematerialpropertiesaretakentobeconstantsforeachply.ByutilizingtheLaplacetransformandFouriertransformtechnique,thegeneralsolutionsforpliesarederived.Thesingularintegralequa-tionsoftheentireelasticregionareobtainedandsolvedbythevirtualdisplacementprinciple.Attentionisfocusedonthetime-dependentfullfieldsolutionsofstressintensityfactor(SIF)andstrainenergyreleaserate.Asanumericalillustration,thedynamicstressintensityfactorofasubstrate\functionallygradedfilmstructurewithtwocracksundersuddenlyappliedforcesoncracksfacearepresentedforvariousmaterialnon-homogeneityparameters.
简介:Wereportonthefirstmonolithicallyintegratedmicroring-basedopticalswitchintheswitch-and-selectarchitecture.Theswitchfabricdeliversstrictlynon-blockingconnectivitywhilecompletelycancelingthefirst-ordercrosstalk.The4×4switchingcircuitconsistsofeightsiliconmicroring-basedspatial(de-)multiplexersinterconnectedbyaSi/SiNdual-layercrossing-freecentralshuffle.Analysisoftheon-stateandoff-statepowertransferfunctionsrevealstheextinctionratiosofindividualringresonatorsexceeding25dB,leadingtoswitchcrosstalksuppressionofuptoover50dBintheswitch-and-selecttopology.Opticalpathsareassessed,showinglossesaslowas0.1dBperoff-resonanceringand0.5dBperon-resonancering.Photonicswitchingisactuatedwithintegratedmicro-heaterstogivean~24GHzpassband.Thefullypackageddeviceisflip-chipbondedontoaprintedcircuitboardbreakoutboardwithaUV-curvedfiberarray.
简介:Twenty10-hydrocarbylacridonesand2-methylacridone,1-hydroxyacridoneweresynthesizedfromacridoneandcharacterizedbymp,IR,UV,1HNMRandMS.UsingNd:YAGasalasersource,thesecond-orderharmonicgeneration(SHG)valuesoftheacridonederivativesweremeasuredinpowderstateascomparedwithureapowder.TheresultsshowedthattheSHGvaluesofsomeof10-hydrocarbylacridoneswerehigherthanthatofurea,whileotherswerelower.Althoughthehydrocarbylsubstituents(R)attachedtonitrogenatomofacridoneweredifferentinsizeandelectronegativity,theyhadalittleeffectontheSHGvaluesof10-hydrocarbylacridones.Substituents,suchasmethylorhydroxygroupconnectedtothephenylring,causedalittleeffectontheSHGvalues,too,comparedwithacridone.TheabilityofRtopushelectrontowardthenitrogenatomortopullelectronfromthenitrogenatomplayanimportantroleonthemaximumwavelengthesofUV-visibleabsorptionofacridonederivatives.
简介:TheclassesofthemultivariatefunctionswithboundedmodulionRdandTdaregivenandtheiraverageσ-widthsandnon-linearn-widthsarediscussed.Theweakasymptoticbehaviorsareestablishedforthecorrespondingquantities.
简介:Thispaperpresentsanewstrategyofusingtheradialintegrationboundaryelementmethod(RIBEM)tosolvenon-homogeneousheatconductionandthermoelasticityproblems.Inthemethod,theevaluationoftheradialin-tegralwhichisusedtotransformdomainintegralstoequivalentboundaryintegralsiscarriedoutonthebasisofelementalnodes.Asaresult,thecomputationaltimespentinevaluatingdomainintegralscanbesavedconsiderablyincomparisonwiththeconventionalRIBEM.Threenumericalexamplesaregiventodemonstratethecorrectnessandcomputationalefficiencyoftheproposedapproach.
简介:Thepresentinvestigationofthecrackprobleminpiezoelectricmaterialsisperformedbasedonthenon-localtheory.Aftersomemanipulations,theimpermeablecrack,thepermeablecrack(thecrackgapisfullofNaCIsolution),andthesemi-permeablecrack(thecrackgapisfullofairorsiliconoil)arereducedtoauniformformulationbyassum-ingthenormalelectricdisplacementonthecracksurfacestobeanunknownvariable.Thus,atripleintegralequationwiththeunknownnormalelectricdisplacementisestablished.ByusingtheNewtoniterativemethodandsolvingthetripleinte-gralequation,itisfoundthatthenormalelectricdisplacementonthecracksurfacesisnolongeraconstantasdeterminedbypreviousstudies,rather,itdependsupontheremotecom-binedelectromechanicalloadings.Numericalresultsofthestressesandelectricdisplacementfieldsshowthattherearenosingularitiesatthecracktipssothatthestressesremainfinite.Itisofgreatsignificancethattheconcreteelectricboundaryconditiononthecracksurfacesexertssignificantinfluenceonthenear-tipfieldsandinthiswayplaysanimpor-tantroleinevaluatingthecrackstabilityinthenon-localpiezoelectricmaterials.Morespecifically,theimpermeablecrackmodelalwaysoverestimatesthefinitestressesatthecracktips,whereasthepermeablecrackmodelalwaysunder-estimatesthem.
简介:Aprojectedsubgradientmethodforsolvingaclassofset-valuedmixedvariationalinequalities(SMVIs)isproposedwhenthemappingisnotnecessarilyLipschitz.Undersomesuitableconditions,itcanbeproventhatthesequencegeneratedbythemethodcanstronglyconvergetotheuniquesolutiontotheproblemintheHilbertspaces.