Robustness analysis of 10-dimensional cell cycle systems based on periodic sensitivity

This paper discusses a robustness analysis of a 10 dimensional cell cycle system and focuses on understanding functions of Cdc25 and Weel proteins. The robustness of the cell cycle is analyzed based on the sensitivity analysis for a mathematical model. From the first analysis result, it was shown that Cdc2 and Cyclin proteins have main roles for cell cycle in this model but the robustness is not high against perturbation on its parameters. By introducing Cdc25 and Weel proteins to the mathematical model, it was verified by the sensitivity analysis that the modified has higher level of robustnesses than the original model does. Numerical examples are shown to demonstrate the original model and the modified model have almost identical cell cycle behaviors leaving robustness as a salient difference.