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

Sara Sommariva, Giacomo Caviglia, Michele Piana
2020 arXiv   pre-print
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
more » ... ia 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.
arXiv:2004.02632v1 fatcat:ucb7fopnirb5lgmnlom44jqcri