期刊
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS
卷 444, 期 2, 页码 51-99出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physrep.2006.12.007
关键词
biomembrane undulations; excitations in soft matter
Biomembrane undulations are elementary excitations in the elastic surfaces of cells and vesicles. As such they can provide surprising insights into the mechanical processes that shape and stabilize biomembranes. We explain how naturally these undulations can be described by classical differential geometry. In particular, we apply the analytical formalism of differential-geometric calculus to the surfaces generated by a cell membrane and underlying cytoskeleton. After a short derivation of the energy due to a membrane's elasticity, we show how undulations arise as elementary excitations originating from the second derivative of an energy functional. Furthermore, we expound the efficiency of classical differential-geometric formalism to understand the effect of differential operators that characterize processes involved in membrane physics. As an introduction to concepts the paper is self-contained and rarely exceeds calculus level. (C) 2007 Elsevier B.V. All rights reserved.
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