  Homeostasis is a mechanism by which a feature can remain invariant with
change in external parameters. We adopt the definition of homeostasis in the
context of singularity theory. We make a connection between homeostasis and the
theory of injective reaction networks. In particular, we show that a reaction
network cannot exhibit homeostasis if a modified reaction network (which we
call the homeostasis-associated reaction network) is injective. We provide
examples of reaction networks which can or cannot exhibit homeostasis by
analyzing the injectivity of the homeostasis-associated reaction network.
