  We investigate general properties of non-deterministic self-assembly with
asymmetric interactions, using a computational model and DNA tile assembly
experiments. By contrasting symmetric and asymmetric interactions we show that
the latter can lead to self-limiting cluster growth. Furthermore, by adjusting
the relative abundance of self-assembly particles in a two-particle mixture, we
are able to tune the final sizes of these clusters. We show that this is a
fundamental property of asymmetric interactions, which has potential
applications in bioengineering, and provides new insights into the study of
diseases caused by protein aggregation.
