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    Method of numerical simulation of stable structures of fluid membranes and vesicles.

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    UgailJamilSatinoanuWSEASMethodof2006.pdf (934.8Kb)
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    Publication date
    2006
    Author
    Ugail, Hassan
    Jamil, N.
    Satinoianu, R.
    Keyword
    Surface modeling
    Fluid membranes
    Vesicles
    Partial differential equations (PDEs)
    Spontaneous curvature
    Optimization
    Vesicle cell membranes
    Rights
    © 2006 World Scientific and Engineering Academy and Society (WSEAS). Reproduced in accordance with the publisher's self-archiving policy.
    Peer-Reviewed
    Yes
    
    Metadata
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    Abstract
    In this paper we study a methodology for the numerical simulation of stable structures of fluid membranes and vesicles in biological organisms. In particular, we discuss the effects of spontaneous curvature on vesicle cell membranes under the bending energy for given volume and surface area. The geometric modeling of the vesicle shapes are undertaken by means of surfaces generated as Partial Differential Equations (PDEs). We combine PDE based geometric modeling with numerical optimization in order to study the stable shapes adopted by the vesicle membranes. Thus, through the PDE method we generate a generic template of a vesicle membrane which is then efficiently parameterized. The parameterization is taken as a basis to set up a numerical optimization procedure which enables us to predict a series of vesicle shapes subject to given surface area and volume.
    URI
    http://hdl.handle.net/10454/2646
    Version
    published version paper
    Citation
    Ugail, H., Jamil, N. and Satinoianu, R. (2006). Method of numerical simulation of stable structures of fluid membranes and vesicles. WSEAS Transactions on Mathematics, Vol. 9, No. 5, pp. 1009-1014.
    Link to publisher’s version
    http://www.worldses.org/journals/mathematics/index.html
    Type
    Article
    Collections
    Engineering and Informatics Publications

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