The dynamics of shapes of vesicle membranes with time dependent spontaneous curvature

Autoři: R. A. Barrio aff001;  Tomas Alarcon aff002;  A. Hernandez-Machado aff003
Působiště autorů: Instituto de Física, U.N.A.M., Apartado Postal 20-364, 01000 Mexico D.F., Mexico aff001;  ICREA, Pg. Lluís Companys 23, 08010 Barcelona, Spain aff002;  Centre de Recerca Matemàtica, Edifici C, Campus de Bellaterra, 08193 Bellaterra (Barcelona), Spain aff003;  Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra (Barcelona), Spain aff004;  Barcelona Graduate School of Mathematics (BGSMath), Barcelona, Spain aff005;  Departament de Física de la Matèria Condensada, Facultat de Física, Universitat de Barcelona, Diagonal 645, E-08028 Barcelona, Spain aff006;  Institute of Nanoscience and Nanotechnology (IN2UB), Universitat de Barcelona, Barcelona, Spain aff007
Vyšlo v časopise: PLoS ONE 15(1)
Kategorie: Research Article


We study the time evolution of the shape of a vesicle membrane under time-dependent spontaneous curvature by means of phase-field model. We introduce the variation in time of the spontaneous curvature via a second field which represents the concentration of a substance that anchors with the lipid bilayer thus changing the local curvature and producing constriction. This constriction is mediated by the action on the membrane of an structure resembling the role of a Z ring. Our phase-field model is able to reproduce a number of different shapes that have been experimentally observed. Different shapes are associated with different constraints imposed upon the model regarding conservation of membrane area. In particular, we show that if area is conserved our model reproduces the so-called L-form shape. By contrast, if the area of the membrane is allowed to grow, our model reproduces the formation of a septum in the vicinity of the constriction. Furthermore, we propose a new term in the free energy which allows the membrane to evolve towards eventual pinching.

Klíčová slova:

Bending – Deformation – Free energy – Liposomes – Membrane proteins – Nonlinear dynamics – Surface tension – Vesicles


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