Analytical results for cell constriction dominated by bending energy



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Almendro Vedia, Victor Galileo and Monroy Muñoz, Francisco and Cao García, Francisco Javier (2015) Analytical results for cell constriction dominated by bending energy. Physical review E, 91 (1). ISSN 1539-3755

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Analytical expressions are obtained for the main magnitudes of a symmetrically constricted vesicle. These equations provide an easy and compact way to predict minimal requirements for successful constriction and its main magnitudes. Thus, they can be useful for the design of synthetic divisomes and give good predictions for magnitudes including constriction energy, length of the constriction zone, volume and area of the vesicle, and the stability coefficient for symmetric constriction. The analytical expressions are derived combining a perturbative expansion in the Lagrangian for small deformations with a cosine ansatz in the constriction region. Already the simple fourth-order (or sixth-order) approximation provides a good approximation to the values of the main physical magnitudes during constriction, as we show through comparison with numerical results. Results are for vesicles with negligible effects from spontaneous curvature, surface tension, and pressure differences. This is the case when membrane components generating spontaneous curvature are scarce, membrane trafficking is present with low energetic cost, and the external medium is isotonic

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©2015 American Physical Society. We gratefully acknowledge Elena Beltrán de Heredia Rodríguez for checking the results and the equations in the paper. This work was supported by Ministerio de Ciencia e Innovación (Spain) through Grants No. FIS2010-17440 (F.J.C.), No. FIS2012-35723 (F.M.), and No. CSD2007-0010 (F.M.) (the last one as part of the Consolider Ingenio en Nanociencia Molecular Grant); Ministerio de Economía y Competitividad (Spain) Grant No. FIS2009-14650-C02-01 (F.M); and Comunidad Autónoma de Madrid (Spain) Grant No. S2009MAT-1507 (F.M.).V.G.A.-V. acknowledges support from Ministerio de Educación Cultura y Deporte (Spain) through the Becas de Colaboración program.

Uncontrolled Keywords:Shape transformations; Membrane biogenesis; Escherichia-coli; Cytokinesis; Curvature; Vesicles
Subjects:Sciences > Physics > Nuclear physics
ID Code:29495
Deposited On:15 Apr 2015 15:44
Last Modified:10 Dec 2018 14:57

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