AI Article Synopsis
- A model is developed to understand how a gene product is randomly distributed, focusing on the variance caused by transcription being randomly turned on and off.
- It shows that the level of mRNA produced follows a scaled Beta distribution, particularly when transition rates between states are constant.
- The study also considers how a positive feedback loop affects this model, leading to the observation that bistable behavior results in bimodal distributions, which aligns with experimental data.
Article Abstract
We develop a simple model for the random distribution of a gene product. It is assumed that the only source of variance is due to switching transcription on and off by a random process. Under the condition that the transition rates between on and off are constant we find that the amount of mRNA follows a scaled Beta distribution. Additionally, a simple positive feedback loop is considered. The simplicity of the model allows for an explicit solution also in this setting. These findings in turn allow, e.g., for easy parameter scans. We find that bistable behavior translates into bimodal distributions. These theoretical findings are in line with experimental results.
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| http://dx.doi.org/10.1016/j.mbs.2008.08.003 | DOI Listing |
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