The purely mathematical property – linear or circular – can have severe consequences in the world of materials. Since circular molecules lack any ends, which could serve as a starting point for degradation, they are more resistant and less entangled. Nature profits from this unique property of circular molecules to increase DNA’s and RNA’s resilience against degradation.
Topology plays not only a role in biology but as well when molecules get out of equilibrium: Linear and ring molecules flow differently, as do their mixtures.
This difference in flow can be explained using spaghetti as an analogy for linear molecules and stirring a pot of them as analogy for flow: Single noodles elongate in flow direction, although they are still entangled.
Imagine, we now stir ring-shaped pasta corresponding to spaghetti with ends glued together: Circular pasta orients more easily in flow direction compared to linear Spaghetti and rings are less entangled, making stirring easier.
Nevertheless, separating a mixture of linear and ring-shaped pasta in one pot into two separated systems of high purity is a challenging task, since the molecular building blocks are exactly the same. Both noodle topologies are made of the same dough. Tediously, we have to hand-pick one by one to distinguish if it is a spaghetto or a ring-shaped noodle.
Such a process is impossible on a microscopic scale, hence the development of new materials based on different topologies is hindered, as well as the analysis of topology in biological systems. Therefore, we need new and efficient separation technologies.