Abstract
Gene expression events happen stochastically because of the low number of DNA, mRNA and protein in single cells. A theoretical model for central dogma is needed to explain the variation of molecular number among cell population. Most of the analytical models in literature assume that this stochastic gene expression occurs in a stable system. However, especially in single cell organisms, gene expressions are often accompanied with rapid cell growth, division and environmental fluctuations, which are more dynamic compared to biomacromolecules synthesis and degradation. Based on this, we develop a linear operator model that takes into account other types of stochastic events besides gene expression. This model provides a theoretical explanation for how cells maintain molecular concentration homeostasis during volume expansion and molecule redistribution into daughter cells in the process of cell division. Additionally, using this approach, we are able to distinguish protein concentration reductions caused by degradation, dilution and cell division, as well as compare the effects from various types of extrinsic noise including difference between individual cells and fluctuations in intracellular substrate level and extracellular environment. This dynamic model is confirmed by numerical simulation and experimental observations.
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call