人體動脈血管中非線性波的特性研究.pdf

1、906238分類旦鹽』』：』重絲：』盤!z如。／密級奠乎J萬』侖衙缸史學(xué)碩士學(xué)位論文人體動脈血管中非線性波的特性研究導(dǎo)師姓名職稱專業(yè)名稱研究方向易金橋呂克璞教授應(yīng)用數(shù)學(xué)非線性數(shù)學(xué)物理方程的分析方法研究論文答辯日期：翌!!!塑學(xué)位授予時間：!!!!旦答辯委員會主席評閱人二oo六年五月AbstractInrecentyears，theincidenceofangiocardiopathyis012theincreaseandisbadlye

2、ndangeringtheheMthofhumanwhichhasbeenspeciliedoneofthethreemostcornmonworldwidediseasesbywjrIdHealthOrganization(WHO)SoitissignificantforUStostudythehemodynamicsinordertoobtainanidealmethodWhichwillbensedtodiagnosingthei

3、nchoateangioeardiopathyItiswellknownthattherearemanynonlinearphenomenainlifesystemsimilarlHnonlinearcharactersexistinbloodcirculatorysystemThedevelopmentofhemodynamics，obviouslydependsonthedevelopmentofthenonlineartheory

4、deeplyInthispaper，thebasaldefinitionsofhemodynamicsandthestatusquoofdiscoveryonnonlinearsciencesinthisfieldhavebeenintroducedfirstlyThedisturbancestransmitwiththeformsofstresswave8inlargearterieshavebeenprovedinsecondcha

5、pterofthispaperSomeequationsgoverningvelocity“，pressurePandstress矗havebeenobtainedwiththeassumptionsofalong，straight，circular，inhomogeneousthinwalledelastictubem】edwithanincompressibleandviscousbloodflowFinallystresswave

6、saredescribedbyKdVequation，andtheoreticalresultsofvelocityofstresswavesareestimatedandcomparedⅥdthexperimentalonesInthethirdchapterofthispaperneutraldisturbancesthathaveauniversalforegroundinclinicapplicationhavebeenstud

7、iedAsigniiieativemendtoPoiseuilieflowhasbeenshown，andtheweakviscosityofbloodconditionhavebeenassllmedfirstlyAvorticityequationofstreamfunctionandaKdVequationwhichdescribedneutraldisturbanceshavebeenobtainedbythereductive

8、perturbationmethod，respectivelyTheconclnsionsofferatheoreticalbasefordiagnosingtheinchoateangiocardiopathyIthasbeenstudiedthatwavespropagatinginbloodvesselischanginggraduallyandfinallygrowintoshockWaVesAnormalBurgersequa

9、tionthatdescribespressureofbloodhasbeenobtained，whichprovetheshockwave8arepresentingInthelastchapterofthispaper】theeffectofthebloodviscosityOnbloodstreamandthevelocityofthewaveshavebeendiscussedItisshownthatthelengthofth

10、ebloodvesselwhichformstheshockwavesislargerthantheactuallengthofbloodvesselbecauseofthedispersiveeffectoftheviscositySotherearenoshockwavesinnormalpaysiologyfettleofhumanKeywords：BloodFlow，NeutralDisturbances，Viscosityof