Effect Of Signal Integration On Dynamics Of Relaxation Oscillator Multicellular System

Biological network is one of the hot issues in the 21st century.Through re-searches,it has been found that synchronization is universal in the network and is a key link of biological network.At the same time,dynamic clustering is an impor-tant basis for cell differentiation.Therefore,since synchronization and clustering in biology and other fields have attracted much attention,and unbalanced clustering is an interesting and challenging task,it is quite necessary to further study gene os-cillators.In this thesis,influence of the integration of signals inside and outside the cell on the relaxation oscillator multicellular systems are studies.The main research contents are as follows:(1)First,construct a gene network with the relaxation oscillator as the core.Based on the Kuramoto's phase-reduction approach,select a set of reasonable parameters to study the coupling types(attractive and repulsive)of the oscillator on different cis-regulatory modules(),and further explore the influence of the changes of parameters in the cis-regulatory input functions()on the coupling type.The variations of the parametersandcan cause the transition of the coupling type.At the same time,based on Okuda's criterion on balanced clustering,the situation of intra-cluster and inter-cluster fluctuations of the vibrator is studied,and it is found that differentcan not only drive rich dynamic patterns(synchronous,balanced clustering,unbalanced clustering),but also as far as the coupling type is concerned,it is found that the attractive coupling can cause synchronization and clustering while the repulsive coupling only can cause clustering.(2)Then change the line to reconstruct the artificial synthetic biological network with the relaxation oscillator as the core.Affected by the structure of relaxation oscillator,the cis-regulatory region also has 6 kinds of modules,including,,,,(3,.Based on theoretical knowledge and numerical simulation by means of software,it is found that differentdrive different cellular patterns,furthermore,the change of the parametersandcan lead to the transitions of coupling type of the oscillators.There are not only in-phase,anti-phase,and out-of-phase relationships among the oscillators but also the occurrence of clustering phenomena(balanced clustering and unbalanced clustering).Excep-tionally,in the case ofmodule,the system does not have a stable clustering state.similarly,repulsive coupling can cause clustering,and attractive coupling can not only cause clustering but also synchronization.Our results show that different network topologies not only enrich the dynamic behavior of the system.In addition,the changes in the dynamics of the uncou-pled oscillators in the standard coupling sense(such as changes in parameters)also produce different patterns of dynamic cellular patterns,which lays the foundation for the coordination of cell behavior and the adaptation of the organism to the environment.