Dynamic Behavior Of Solitons In Three-Spine Chain ?-Helix Proteins

Biomaterials,bioenergy and bioinformatics are the three basic elements of life activities.Among them,the transmission of biological information is always accompanied by the transfer of biological energy.Therefore,it can be said that the transfer of biological energy is an important basic process in life activities,and its research is one of the important topics in biophysics research.In the living system,the energy released by ATP hydrolysis always needs transportation to reach the position where it is needed.The nonlinear soliton excitation in ?-helical protein is considered to be an effective carrier for transmitting energy.The feature that the soliton maintains energy,momentum and velocity during the transfer process can transmit the biological information and energy to the destination without loss,in order to maintain the existence of the organism.This thesis mainly studies the propagation law of solitons in several variable coefficient coupled nonlinear models describing the energy and information transfer in ?-helix protein.In the first chapter,a brief introduction to solitons and the commonly used methods to study solitons.In Chapter 2,a three-coupling third-fifth-order nonlinear Schrodinger equation describing the energy transfer of the three-coupling ?-helix protein was studied in detail,and the single-soliton in the three-coupling third-fifth-order nonlinear Schrodinger equation Propagation characteristics and the law of collision and interaction between two-soliton and three-soliton.In Chapter 3,through the study of the three-coupling modified nonlinear Schr?dinger equation(MNLS)soliton solution that describes the dynamic behavior of the soliton in ?-helix protein,the effect of different parameter conditions on the soliton solution is obtained.In Chapters 4 and 5,the numerical method is used to study the variable coefficient three-coupling nonlinear Schrodinger equation and the variable coefficient third-order nonlinear Schrodinger equation in the protein energy transfer model,and their dynamic behaviors are detailed.discussion.The results of this paper will help to better understand the energy transport in alpha helix proteins and provide theoretical support for experimental research on soliton excitation and control.