Tumor-immune System Model Based On Exosome Exchange

As a new type of treatment for cancer,the use of the immune system to develop more effective treatment strategies has profound implications for modern medicine.Based on this,we need to have a better understanding of the contribution of the tumor micro-environment to the complex interplay between cancer cells and the im-mune response.In recent years,effort has been directed at unraveling the functional role of exosomes and their cargo of messengers in this interplay.Exosomes are small vesicles(30-200nm)that mediate local and long-range communication through the horizontal transfer of information,such as combinations of proteins,mRNAs and micro-RNAs.The tumor-immune system based on exosome exchange,here we sim-plify the complex interactions into a simple three-dimensional dynamic model.This article is divided into four parts,which mainly study the role of exosomes-mediated intercellular communication in the tumor-immune system.The research results can help people better understand the role of exosomes in the tumor immune system,and provide a strong scientific basis and theoretical support for cancer treatment in modern medicine.In Chapter 1,we briefly introduce the background of tumor immunity based on exosome exchange,the model of tumor growth and the interaction model of tumor-immune system,the basic theories of ordinary differential equations.In Chapter 2,we present and study a tumor-immune interaction model based on exosome exchange.We divide the cells in the tumor-immune system into three categories:effective cancer cells(T),dendritic cells(D)and killer cells(L),and build a three-dimensional model to study the dynamic behavior of the interaction between the immune system and tumor cells under the exosome-mediated cell-cell communication..We discuss the existence and stability of the model’s non-negative equilibrium point.In addition,we further numerically simulate each case with positive equilibrium points,and compare and analyze the simulation results.In Chapter 3,we present a tumor-immune model that assumes no exosome exchange between T and D.Modified based on Chapter 2,we construct a three-dimensional model to study the dynamic behavior of the tumor immune system without exosome-mediated interaction between T and D.We discuss the existence and stability of the model’s non-negative equilibrium point.Furthermore,we nu-merically simulate each existence obtained,and compare and analyze the simulation results obtained in Chapter 2 with the simulation results obtained in this chapter.In Chapter 4,we summarize the main research results in this paper and put forward the deficiencies of this paper and future work prospects.