# The Membrane Inclusions Curvature Equations

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LIP6 - Laboratoire d'Informatique de Paris 6
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INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
Abstract : We examine a system of equations arising in biophysics whose solutions are believed to represent the stable positions of $N$ conical proteins embedded in a cell membrane. Symmetry considerations motivate two equivalent refomulations of the system which allow the complete classification of solutions for small $N <13$. The occurrence of regular geometric patterns in these solutions suggests considering a simpler system, which leads to the detection of solutions for larger $N$ up to $280$. We use the most recent techniques of Groebner bases computation for solving polynomial systems of equations.
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Advances in Applied Mathematics, Elsevier, 2003, 31 (4), pp.643-658. 〈10.1016/S0196-8858(03)00039-3〉
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https://hal.inria.fr/inria-00099745
Contributeur : Publications Loria <>
Soumis le : mardi 26 septembre 2006 - 09:40:54
Dernière modification le : jeudi 11 janvier 2018 - 06:27:20

### Citation

Jean-Charles Faugère, Milena Hering, Jeff Phan. The Membrane Inclusions Curvature Equations. Advances in Applied Mathematics, Elsevier, 2003, 31 (4), pp.643-658. 〈10.1016/S0196-8858(03)00039-3〉. 〈inria-00099745〉

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