Mathematical modeling is a powerful tool to help us understand the behavior and dynamics of living systems. This tool can explain the effects of different components of the system and, more importantly, dynamics that are difficult or impossible to test in the lab.
On the one hand, the model allows us to predict the energy that makes the cross sequence open, which can guide us to optimize the system. More importantly, the model can help us predict the behavior of the system and effectively describe and quantify the amount of ribozyme produced.
In this page, you can find two mathematical models to describe and understand the behavior of App sequences---cross sequence double-loop systems.