Section: Overall Objectives

Highlight: a Stronger Necessary Condition for the Multistationarity of Chemical Reaction Networks.

In the last thirty years, the conjecture of Thomas on the necessary presence of a positive circuit for the occurrence of multistationarity has opened a whole field of research, allowing better understanding of biochemical networks. In [5] we improve on the ten years old proof by Soulé. In particular, the obvious cases of multimolecular reactions where Thomas’ condition was trivially satisfied can now easily be ruled out. The new condition makes it possible to use circuit analysis as an useful tool in the arsenal of the computational biologist, together with other structural methods.