18782.基于激活—抑制模型的細(xì)胞運動建模及其對模式形成的影響

1、南開大學(xué)碩士學(xué)位論文基于激活抑制模型的細(xì)胞運動建模及其對模式形成的影響姓名：郭春艷申請學(xué)位級別：碩士專業(yè)：模式識別與智能系統(tǒng)指導(dǎo)教師：趙新201205Abs仃act———————————————————————————————————●——————————————————————————————一一——————————————————————————————————一AbstractTheinvestigationofthemechan

2、ismofbiologicalpatternhasbeenanimportanttopicoflifesciences，especiallyofdevelopmentalbicIlogyforalongtimeRecentlyamathematicalbiologymethodhasbeenanimportantmethodfortheresearchonitTheresearchonpatternformationcanbetrace

3、dtothereactiondiffusiontheoryproposedbyTuringin1952，whichdemonstratedthatthepatternformationbymorphogenscanbejustdescribedbyasystemofpartialdifferentialequationswhichiscalledreactiondiffusionmodelThismodelsays，mcrphogens

4、caninteractanddiffuseatthesametimeSOastoproduceastablenommiformpatterninspacewhichcouldjustrepresenttheformationofbiologicalpatternBasedonreaction—diffusiontheroyanactivatorinhibitormodelwasproposedbyGiererandMeinhardtin

5、1972toapplytothepatternformationintissuedifferentiationRecentlytheactivatorinhibitormodelhasbeensuggestedtoexplainthedevelopmentofthepatternsformedbyvascularmesenchymalcells(VMCs)，suchasstripedoublingbychangingscalefacto

6、randpatternshiftbychangingtheexternalinhibitorsourceHoweverbecausethemodeldidn’tconsidertheinfluenceofthechangeofcelldensityonpatternformation，itfailstoexplainthephenomenonsbycontrollingthecellmotilityInthispaperthemathe

7、maticalmodelingforcellmotilityandtheinfluencemechanismofcellmotilityonpatternformationwasstudied，F(xiàn)irstlybyconsideringtheinteractionbetweenmorphogensandcellmotilityanactivator—inhibitorcellmodalbyincorporatingcellmovement

8、wasdevelopedSecondlybasedonthemethodofnumericalsimulationandTuringspaceanalysis，theinfluencelawofpatternformationaffectedbycellmotilitywasgiven，andtheinfluencemechanismofcellmotilityonpatterntransformationwasrevealed，spe

9、ciallyaphenomenonofpatterntransformationwhichisfrom‘‘labyrinth，，to“hole”wasusedtogiveaproperlyexplainationfortheexperimentalresultsofVMCs。anditpowerfullydemonstratedthevalidityofthismodelfordescribingcellmotilitvFinallya