Title: Slimming down through frustration
Abstract:
Self-assembly is key to living cells, where it brings well-adjusted
parts together into functional biological structures. In rarer,
pathological cases, ill-fitting proteins also aggregate and form fibers
involved in Alzheimer’s and other diseases. While functional
self-assembly is widely studied, the physical principles governing
ill-fitting self-assembly remain largely unknown.
Our current understanding of self-assembly revolves around examples
involving simple, relatively symmetrical particles. We instead strive to
consider the opposite limit of very complex, ill-fitting particles,
whose aggregation generates geometrical frustration. To escape this
frustration, our early theoretical and experimental results suggest that
they tend to form fibrous aggregates reminiscent of those formed by
proteins in disease. According to this putative “dimensional reduction”
principle, collections of complex particles generically behave
differently than collections of simple ones. Indeed, while increasing
the attractive interactions in the latter typically induces a transition
from a dilute (gas-like) phase to a dense (liquid or solid) phase, we
propose that the former should generically present an additional,
intermediate regime where fibers (or planes) form.
We use theoretical tools based on elasticity theory and statistical
mechanics to investigate the effects of geometrical frustration on
self-assembly to establish how widespread universal dimensional
reduction actually is. Our framework opens the way for ongoing
experiments where we probe colloidal and protein self-assembly using
high-resolution 3D printing and X-ray scattering.
Our work reveal new organizational principles for matter, possibly as
broadly applicable as the very concept of crystallization. This
fundamental advance in our understanding of complex, protein-like object
could have implications for our understanding of biology and disease,
and may also provide guidelines for engineering objects at the nano- and
microscale, as well as lead to a better mastery of processes involved in
drug manufacturing and protein crystallography.