DNA中一类非线性动力学方程的数值解.pdf

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1、Æ“è:10475ÆÒ:104753130733àHŒÆïÄ)a¬ÆØ©DNA¥˜aš‚5ÄåÆ•§êŠ)NumericalSolutionsofaKindofNonlinearDynamicEquationsofDNA;’¶¡:A^êÆ;’“è:070104ïÄ••:ÄåXÚš‚5•½5c?:"˜n?ïÄ)6¶:ox“6¶!…¡:ÅBǤFÏ:"˜8c8NumericalSolutionsofaKindofNonlinearDynamicEquationsofDNAADissertationSubmittedtotheGraduateSchoolofHenanUniver

2、sityinPartialFulllmentoftheRequirementsfortheDegreeofMasterofScienceByLitingSupervisor:AssociateProf.WangboDate:June,2016'uÆØ©Õá¤ÚSNM#(²<•àHŒÆJÑa¬Æž.LïĤJ,•Ø•)Ù¦<•¼?Û˜!‰ïÅƽyÖ¦^Lá.†·˜ÓóŠÓ¯éïĤ‰?Ûzþ®3Ø©

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8、BSTRACTThepaperisbasedontheplanebaserotormodelproposedbyYomosawhichstudynonlineardynamicsofinhomogeneousDNAdoublehelicalchainunderdynamicplane-baserotatormodelbyconsideringangularrotationofbasesinaplanenormaltothehelicalaxis.Wediscussand0whicharetheanglesofthebasepairsintheplaneperpendiculartothes

9、piralshaftaroundthedoublehelixchain.weusethenitedierencemethodtosolvetheSine-Gordonequationson=0and=0.then,wesolveasetofcoupledequationsofnonlinearSine-Gordonequationsingeneralcaseofand0.Finally,theanalysisresultsshowthatthecalculatedresultsofthispaperareinconformitywiththeexistingtheoretic

10、alresearchresultsandareabletosimulatethemotionstateofheprocessoftranscriptionandreplicationaboutDNAmolecular.KEYWORDS:DNA,Soliton,ThenonlinearSine-Gordonequations,ThenitedierencemethodIII8¹Á‡.......