  The Artificial Axon is a unique synthetic system, based on biomolecular
components, which supports action potentials. Here we consider, theoretically,
the corresponding space extended system, and discuss the occurrence of solitary
waves, or kinks. In contrast to action potentials, stationary kinks are
possible. We point out an analogy with the interface separating two condensed
matter phases, though our kinks are always non-equilibrium, dissipative
structures, even when stationary.
