Regulation of Gene Activation by Competitive Cross Talking Pathways

The phenomenon of a gene expression burst has been attributed to random transitions between the active and inactive states of a gene. However, the mechanisms underlying regulation of the activation process in response to environmental changes remain unclear. Here, we model gene activation as a consequence of the competitive cross talk between a weak basal pathway and an inducible signaling pathway and reveal rich expression dynamics along with intricate dependence of noise and Fano factor on mean expression levels. These theoretical results are in good agreement with a large experimental data set in Escherichia coli, yeast, and mammalian cells. Furthermore, both theoretical analyses and supporting biological evidence converge to demonstrate the existence of a tradeoff that governs the sharp up- and downregulation of gene expression, suggesting an ordered scenario that activates a gene under varying conditions. These regulation modes, together with cross talk pathways, may provide new guidance for the analysis and interpretation of genetic data in various applications, ranging from genetic engineering to therapeutic targets of disease.

Modulation of first-passage time for bursty gene expression via random signals

The stochastic nature of cell-specific signal molecules (such as transcription factor, ribosome, etc.) and the intrinsic stochastic nature of gene expression process result in cell-to-cell variations at protein levels. Increasing experimental evidences suggest that cell phenotypic variations often depend on the accumulation of some special proteins. Hence, a natural and fundamental question is: How does input signal affect the timing of protein count up to a given threshold? To this end, we study effects of input signal on the first-passage time (FPT), the time at which the number of proteins crosses a given threshold. Input signal is distinguished into two types: constant input signal and random input signal, regulating only burst frequency (or burst size) of gene expression. Firstly, we derive analytical formulae for FPT moments in each case of constant signal regulation and random signal regulation. Then, we find that random input signal tends to increases the mean and noise of FPT compared with constant input signal. Finally, we observe that different regulation ways of random signal have different effects on FPT, that is, burst size modulation tends to decrease the mean of FPT and increase the noise of FPT compared with burst frequency modulation. Our findings imply a fundamental mechanism that random fluctuating environment may prolong FPT. This can provide theoretical guidance for studies of some cellular key events such as latency of HIV and lysis time of bacteriophage λ. In conclusion, our results reveal impacts of external signal on FPT and aid understanding the regulation mechanism of gene expression.