NDLI: Minimum-energy vesicle and cell shapes calculated using spherical harmonics parameterization

Content Provider	Royal Society of Chemistry (RSC)
Author	Howard, Jonathon Khairy, Khaled
Copyright Year	2011
Abstract	An important open question in biophysics is to understand how mechanical forces shape membrane-bounded cells and their organelles. A general solution to this problem is to calculate the bending energy of an arbitrarily shaped membrane surface, which can include both lipids and cytoskeletal proteins, and minimize the energy subject to all mechanical constraints. However, the calculations are difficult to perform, especially for shapes that do not possess axial symmetry. We show that the spherical harmonics parameterization (SHP) provides an analytic description of shape that can be used to quickly and reliably calculate minimum energy shapes of both symmetric and asymmetric surfaces. Using this method, we probe the entire set of shapes predicted by the bilayer couple model, unifying work based on different computational approaches, and providing additional details of the transitions between different shape classes. In addition, we present new minimum-energy morphologies based on non-linear models of membrane skeletal elasticity that closely mimic extreme shapes of red blood cells. The SHP thus provides a versatile shape description that can be used to investigate forces that shape cells.
Starting Page	2138
Ending Page	2143
Page Count	6
File Format	HTM / HTML PDF
ISSN	1744683X
Volume Number	7
Issue Number	5
Journal	Soft Matter
DOI	10.1039/c0sm01193b
Language	English
Publisher	Royal Society of Chemistry
Access Restriction	Open
Subject Keyword	Spherical harmonics SHP Biophysics
Content Type	Text
Resource Type	Article
Subject	Chemistry Condensed Matter Physics

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