Study Of Soliton Interactions In Three-spine Chain ?-Helix Proteins

Special non-linear soliton excitations in-helix proteins serve as an efficient vector for the transmission of energy generated during the hydrolysis of adenosine triphosphate(ATP).Soliton has the characteristics of keeping its energy,momentum,and speed unchanged during the transmission process,so soliton can transmit biological energy and information to destinations without loss,thus ensuring that humans and animals and other living organisms can correctly feel the external energy,and the information and energy of the brain are correctly transmitted to the corresponding destinations and organizations to ensure that the environmental stimuli are correctly perceived and the external response to it is correctly responded,so as to maintain the survival of the living body.This paper establishes a nonlinear model for describing energy and information transfer in three-spine chain in-helix proteins,that said,non-uniformly coupled nonlinear Schr?dinger equations,modern well-developed nonlinear soliton research methods(analytical methods like similarity transformation methods,bilinear method and the numerical methods-Fast Fourier Transform Algorithm)are used to analyze the influence of non-uniform factors on the soliton excitation in three-spine chain in-helix proteins,and to discuss whether solitons can be propagated steadily in the presence of time-varying disorder.The collision dynamics of two and three solitons under different molecular structure and environmental conditions are discussed,and some new phenomena of soliton evolution under time-varying parabolic external potentials are discovered.Based on the analytical results of the coupled nonlinear Schr?dinger equation,the propagation behavior of the solitons in-helix protein in the periodic and the exponential system are studied,and the influence of the time-varying parabolic external potential on the soliton excitation is studied.The main results are as follows:1.In the propagation process of a soliton,its direction of propagation is affected by external influences.When a soliton propagates to a strong external position,it will change its direction of propagation.That is,where the density of the external potential increases,solitons will follow the opposite direction.The spread of the direction of communication.2.When the soliton propagates to a location where the outer potential density is high,the influence of the outer potential on the soliton propagation is greater and the propagation direction of the soliton can be changed.Due to the increase of the initial amplitude,the angle between the propagation direction of the soliton and the horizontal direction becomes smaller and smaller,so the propagation distance in the lateral direction naturally increases.If the propagation direction needs to be changed,the larger the parabolic density is.3.The energy gain/loss effect of the combined energy system can affect the lifetime of the soliton,and it can even extend the life of the soliton to a longer time required by the biological process.These results lay a theoretical foundation for the further study of the distribution structure and propagation mechanism of bioenergy.