Theoretical study on the effect of noise in the coupled oscillation of genes and proteins between two cells
In this paper,based on Hill dynamics and Michaelis-Menten equation,a theoretical model is estab-lished to study the noise effect in the coupled oscillation of genes and proteins between two cells.We found that in the Notch signaling pathway,the coupled oscillations of genes and proteins between two cells exhibit periodic oscillation characteristics,indicating the synchronous oscillation characteristics of intercellular signaling."Intrin-sic"noise and"external"noise have different effects on the coupled oscillation of genes and proteins between two cells.The internal noise is beneficial to increase the expression of genes and proteins in the intercellular Notch signaling pathway again.The expression levels of genes and proteins in external noise-induced pathways decrease,and periodic oscillations become damped.The combined action of internal and external noise can not only make gene expression appropriate and present a continuous oscillation pattern,but also make the corre-sponding protein process of gene transcription and synthesis between cells show a continuous oscillation mode.It shows that the internal and external noise of gene expression is beneficial to control the gene activation between cells and maintain the periodic rhythm of protein synthesis.The theoretical results in this paper reveal a regulato-ry mechanism of internal and external noise on the dynamics of the intercellular Notch signaling pathway.The re-spective regulatory effects of internal and external noise can be determined by our calculations,which clarify the physical mechanism of the continuous periodic oscillation of the regulation system under the combined effect of internal and external noise.The theoretical results are consistent with the experiments.It can provide a theoreti-cal basis for the design of pathway therapies to prevent various diseases and cancers caused by Notch system gene and protein mutations.
Intercellular genes and proteinsCoupled oscillationsNoise