ISSN: 2574-187X
In-Plane Membrane Ordering and Topological Defects
Intrinsic properties of biological membrane constituents dominantly influence the shape of biological membranes and
consequently their functionality. This impact is in particular pronounced if anin-plane membrane order is present. In
such cases topological defects (TDs) inevitable appear if membranes’ topology is different from the toroidal one. TDs give
rise to spatial non homogeneities which might trigger various functional responses in membranes, such as membrane
fission, tabulation and vesiculation. In the paper we describe minimal continuum-type models which consider in-plane
ordering within membranes focusing on TDs. We consider cases with nematic-type orientational (quadrupolar) ordering.
We first present the Deviatoric Curvature (DC) model and the Minimal Extrinsic Curvature (MEC) model, respectively.
The DC model demonstrates that the deviatoric curvature plays similar role as an external ordering field. Using the MEC
model we show that membrane structures possess TDs which obey classical topological theorems. Finally, we present the
Landau-type modelling which is particularly adequate in studies focusing on impacts of TDs.
Keywords:
Biological Membranes; Nematic Ordering; Topological Defects
