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Numerical Solutions Of A Kind Of Nonlinear Dynamic Equations Of DNA

Posted on:2017-02-16Degree:MasterType:Thesis
Country:ChinaCandidate:T LiFull Text:PDF
GTID:2310330488451158Subject:Applied Mathematics
Abstract/Summary:PDF Full Text Request
The paper is based on the plane base rotor model proposed by Yomosa which study nonlinear dynamics of inhomogeneous DNA double helical chain under dynamic plane-base rotator model by considering angular rotation of bases in a plane normal to the helical axis.We discuss ? and ?' which are the angles of the base pairs in the plane perpendicular to the spiral shaft around the double helix chain.we use the finite difference method to solve the Sine-Gordon equations on ?=?' and ?=?'.then,we solve a set of coupled equations of nonlinear Sine-Gordon equations in general case of ? and ?'.Finally,the analysis results show that the calculated results of this paper are in conformity with the existing theoretical research results and are able to simulate the motion state of he process of transcription and replication about DNA molecular.
Keywords/Search Tags:DNA, Soliton, The nonlinear Sine-Gordon equations, The finite difference method
PDF Full Text Request
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