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This paper studies a system of Ordinary Differential Equations modeling achemical reaction network and derives from it a simulation tool mimicking Lossof Function and Gain of Function mutations found in cancer cells. Morespecifically, from a theoretical perspective, our approach focuses on thedetermination of moiety conservation laws for the system and their relationwith the corresponding stoichiometric surfaces. Then we show that Loss ofFunction mutations can be implemented in the model via modification of theinitial conditions in the system, while Gain of Function mutations can beimplemented by eliminating specific reactions. Finally, the model is utilizedto examine in detail the G1-S phase of a colorectal cancer cell.

Gain and Loss of Function mutations in biological chemical reaction networks: a mathematical model with application to colorectal cancer cells