This paper studies a system of Ordinary Differential Equations modeling a chemical reaction network and derives from it a simulation tool mimicking Loss of Function and Gain of Function mutations found in cancer cells. More specifically, from a theoretical perspective, our approach focuses on the determination of moiety conservation laws for the system and their relation with the corresponding stoichiometric surfaces. Then we show that Loss of Function mutations can be implemented in the model via modification of the initial conditions in the system, while Gain of Function mutations can be implemented by eliminating specific reactions. Finally, the model is utilized to examine in detail the G1-S phase of a colorectal cancer cell.

本文研究了一个对化学反应网络进行建模的常微分方程系统，并从中派生出一种模拟工具，用于模拟癌细胞中发现的功能丧失和功能获得突变。更具体地说，从理论的角度来看，我们的方法侧重于确定系统的部分守恒定律及其与相应化学计量表面的关系。然后我们证明了功能损失突变可以通过修改系统中的初始条件在模型中实现，而功能突变可以通过消除特定反应来实现。最后，该模型用于详细检查结直肠癌细胞的 G1-S 期。