Physical Sciences and Mathematics Commons^™

The Spruce Budworm And Forest: A Qualitative Comparison Of Ode And Boolean Models, Raina Robeva, David Murrugarra

Mathematics Faculty Publications

Boolean and polynomial models of biological systems have emerged recently as viable companions to differential equations models. It is not immediately clear however whether such models are capable of capturing the multi-stable behaviour of certain biological systems: this behaviour is often sensitive to changes in the values of the model parameters, while Boolean and polynomial models are qualitative in nature. In the past few years, Boolean models of gene regulatory systems have been shown to capture multi-stability at the molecular level, confirming that such models can be used to obtain information about the system’s qualitative dynamics when precise information regarding …