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Publications (en anglais)

  1. Articles scientifiques
  2. Livres
  3. Mémoires

 

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1. Articles scientifiques

  •  

    Flexoelectric fluid membrane vesicles in spherical confinement

    Niloufar Abtahi, Lila Bouzar, Nadia Saidi-Amroun, Martin Michael Müller

    Résumé     Plus d'infos

    EPL, 131(1): 18001, 2020. Cf. aussi arXiv:2006.04475.

     


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    Isometric bending requires local constraints on free edges

    Jemal Guven, Martin Michael Müller, Pablo Vázquez-Montejo

    Résumé     Plus d'infos

    Math. Mech. Solids, 24: 4051, 2019. Cf. aussi arXiv:1904.05855.

     


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    Helical Superstructure of Intermediate Filaments

    Lila Bouzar, Martin Michael Müller, René Messina, Bernd Nöding, Sarah Köster, Hervé Mohrbach, Igor M. Kulić

    Résumé     Plus d'infos

    Phys. Rev. Lett., 122: 098101, 2019. Cf. aussi arXiv:1803.04691.

     


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    Vesicle dynamics in confined steady and harmonically modulated Poiseuille flows

    Zakaria Boujja, Chaouqi Misbah, Hamid Ez-Zahraouy, Abdelilah Benyoussef, Thomas John, Christian Wagner, Martin Michael Müller

    Résumé     

    Phys. Rev. E, 98: 043111, 2018. Cf. aussi arXiv:1810.04500.

     


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    Confining a fluid membrane vesicle of toroidal topology in an adhesive hard sphere

    Lila Bouzar, Ferhat Menas, Martin Michael Müller

    Résumé     Plus d'infos

    IOP Conf. Series: MSE, 186: 012021, 2017.

     


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    Squeezed helical elastica

    Lila Bouzar, Martin Michael Müller, Pierre Gosselin, Igor M. Kulić, Hervé Mohrbach

    Résumé     Plus d'infos

    Eur. Phys. J. E, 39: 114, 2016. Cf. aussi arXiv:1606.03611.

     


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    How bio-filaments twist membranes

    Julien Fierling, Albert Johner, Igor M. Kulić, Hervé Mohrbach, Martin Michael Müller

    Résumé     

    Soft Matter, 12: 5747, 2016.

     


  •  

    Toroidal membrane vesicles in spherical confinement

    Lila Bouzar, Ferhat Menas, Martin Michael Müller

    We investigate the morphology of a toroidal fluid membrane vesicle confined inside a spherical container. The equilibrium shapes are assembled in a geometrical phase diagram as a function of scaled area and reduced volume of the membrane. For small area the vesicle can adopt its free form. When increasing the area, the membrane cannot avoid contact and touches the confining sphere along a circular contact line, which extends to a zone of contact for higher area. The elastic energies of the equilibrium shapes are compared to those of their confined counterparts of spherical topology to predict under which conditions a topology change is favored energetically.

     Fermer     Plus d'infos

    Phys. Rev. E, 92: 032721, 2015. Cf. aussi arXiv:1509.00765.

     


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    Non-linear buckling and symmetry breaking of a soft elastic sheet sliding on a cylindrical substrate

    Norbert Stoop, Martin Michael Müller

    Résumé     Plus d'infos

    Int. J. Non-Linear Mech., 75: 115, 2015. Cf. aussi arXiv:1503.05030.

     


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    Crunching Biofilament Rings

    Julien Fierling, Martin Michael Müller, Hervé Mohrbach, Albert Johner, Igor M. Kulić

    Résumé     Plus d'infos

    Europhys. Lett., 107(6): 68002, 2014. Cf. aussi arXiv:1408.6787.

     


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    Confotronic dynamics of tubular filaments

    Osman Kahraman, Hervé Mohrbach, Martin Michael Müller, Igor M. Kulić

    Tubular lattices are ubiquitous in nature and technology. Microtubules and nanotubes of all kinds act as important pillars of biological cells and the man-made nano-world. We show that when prestress is introduced in such structures, localized conformational quasiparticles emerge and govern the collective shape dynamics of the lattice. When coupled via cooperative interactions these quasiparticles form larger-scale quasipolymer superstructures exhibiting collective dynamic modes and giving rise to a hallmark behavior radically different from semiflexible beams.

     Fermer     Plus d'infos

    Soft Matter, 10(16): pp. 2836-2847, 2014. Cf. aussi arXiv:1312.3106.

     


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    Whirling skirts and rotating cones

    Jemal Guven, J. A. Hanna, Martin Michael Müller

    Steady, dihedrally symmetric patterns with sharp peaks may be observed on a spinning skirt, lagging behind the material flow of the fabric. These qualitative features are captured with a minimal model of traveling waves on an inextensible, flexible, generalized-conical sheet rotating about a fixed axis. Conservation laws are used to reduce the dynamics to a quadrature describing a particle in a three-parameter family of potentials. One parameter is associated with the stress in the sheet, aNoether is the current associated with rotational invariance, and the third is a Rossby number which indicates the relative strength of Coriolis forces. Solutions are quantized by enforcing a topology appropriate to a skirt and a particular choice of dihedral symmetry. A perturbative analysis of nearly axisymmetric cones shows that Coriolis effects are essential in establishing skirt-like solutions. Fully non-linear solutions with three-fold symmetry are presented which bear a suggestive resemblance to the observed patterns.

     Fermer     

    New J. Phys., 15: 113055, 2013. Cf. aussi arXiv:1306.2619.

     


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    Myotubularin and PtdIns3P remodel the sarcoplasmic reticulum in muscle in vivo

    Leonela Amoasii, Karim Hnia, Gaëtan Chicanne, Andreas Brech, Belinda Simone Cowling, Martin Michael Müller, Yannick Schwab, Pascale Koebel, Arnaud Ferry, Bernard Payrastre, Jocelyn Laporte

    Résumé     

    J. Cell Sci., 126(8): 1806, 2013.

     


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    Dipoles in thin sheets

    Jemal Guven, J. A. Hanna, Osman Kahraman, Martin Michael Müller

    Résumé     Plus d'infos

    Eur. Phys. J. E, 36: 106, 2013. Cf. aussi arXiv:1212.3262.

     


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    Fluid membrane vesicles in confinement

    Osman Kahraman, Norbert Stoop, Martin Michael Müller

    Résumé     Plus d'infos

    New J. Phys., 14: 095021, 2012.

     


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    Petal shapes of sympetaleous flowers: the interplay between growth, geometry and elasticity

    Martine Ben Amar, Martin Michael Müller, Miguel Trejo

    Résumé     Plus d'infos

    New J. Phys., 14: 085014, 2012. Choisi pour les Highlights of 2012.

     


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    Morphogenesis of membrane invaginations in spherical confinement

    Osman Kahraman, Norbert Stoop, Martin Michael Müller

    Résumé     Plus d'infos

    Europhys. Lett., 97(6): 68008, 2012. Cf. aussi arXiv:1201.2518.

     


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    Conical instabilities on paper

    Jemal Guven, Martin Michael Müller, Pablo Vázquez-Montejo

    The stability of the fundamental defects of an unstretchable flat sheet is examined. This involves expanding the bending energy to second order in deformations about the defect. The modes of deformation occur as eigenstates of a fourth-order linear differential operator. Unstretchability places a global linear constraint on these modes. Conical defects with a surplus angle exhibit an infinite number of states. If this angle is below a critical value, these states possess an n-fold symmetry labeled by an integer, n ≥ 2. A nonlinear stability analysis shows that the 2-fold ground state is stable, whereas excited states possess 2(n - 2) unstable modes which come in even and odd pairs.

     Fermer     Plus d'infos

    J. Phys. A: Math. Theor., 45(1): 015203, 2012. Cf. aussi arXiv:1107.5008.

     


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    Interface-mediated interactions: Entropic forces of curved membranes

    Pierre Gosselin, Hervé Mohrbach, Martin Michael Müller

    Résumé     Plus d'infos

    Phys. Rev. E, 83(5): 051921, 2011. Cf. aussi arXiv:1011.1221.

     


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    Self-Contact and Instabilities in the Anisotropic Growth of Elastic Membranes

    Norbert Stoop, Falk K. Wittel, Martine Ben Amar, Martin Michael Müller, Hans J. Herrmann

    Résumé     Plus d'infos

    Phys. Rev. Lett., 105(6): 068101, 2010. Cf. aussi arXiv:1007.1871.

     


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    Cell Model Approach to Membrane Mediated Protein Interactions

    Martin Michael Müller, Markus Deserno

    Résumé     Plus d'infos

    Prog. Theor. Phys. Suppl., 184: pp. 351-363, 2010.

     


  •  

    Hamiltonian formulation of surfaces with constant Gaussian curvature

    Miguel Trejo, Martine Ben Amar, Martin Michael Müller

    Dirac's method for constrained Hamiltonian systems is used to describe surfaces of constant Gaussian curvature. A geometrical free energy, for which these surfaces are equilibrium states, is introduced and interpreted as an action. An equilibrium surface can then be generated by the evolution of a closed space curve. Since the underlying action depends on second derivatives, the velocity of the curve and its conjugate momentum must be included in the set of phase space variables. Furthermore, the action is linear in the acceleration of the curve and possesses a local symmetry---reparametrization invariance---which implies primary constraints in the canonical formalism. These constraints are incorporated into the Hamiltonian through Lagrange multiplier functions, that are identified as the components of the acceleration of the curve. The formulation leads to four first order partial differential equations, one for each canonical variable. With the appropriate choice of parametrization only one of these equations has to be solved to obtain the surface which is swept out by the evolving space curve. To illustrate the formalism, several evolutions of pseudospherical surfaces are discussed.

     Fermer     Plus d'infos

    J. Phys. A: Math. Theor., 42(42): 425204, 2009.

     


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    Local Membrane Mechanics of Pore-Spanning Bilayers

    Ingo Mey, Milena Stephan, Eva K. Schmitt, Martin Michael Müller, Martine Ben Amar, Claudia Steinem, Andreas Janshoff

    Résumé     Plus d'infos

    J. Am. Chem. Soc., 131(20): pp. 7031-7039, 2009.

     


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    Elasticity Mapping of Pore-Suspending Native Cell Membranes

    Bärbel Lorenz, Ingo Mey, Siegfried Steltenkamp, Tamir Fine, Christina Rommel, Martin Michael Müller, Alexander Maiwald, Joachim Wegener, Claudia Steinem, Andreas Janshoff

    The mechanics of cellular membranes is governed by a non-equilibrium composite framework consisting of the semiflexible filamentous cytoskeleton and extracellular matrix proteins linked to the lipid bilayer. While elasticity information of plasma membranes has mainly been obtained from whole cell analysis, techniques that allow to address local mechanical properties of cell membranes are desirable to learn how their lipid and protein composition is reflected in the elastic behavior on local length scales. Here, we introduce an approach based on basolateral membranes of polar epithelial Madin-Darby canine kidney (MDCK) II cells, prepared on a highly ordered porous substrate that allows elastic mapping on a submicrometer length scale. A strong correlation between the density of actin filaments and the measured membrane elasticity is found. Spatially resolved indentation experiments carried out with atomic force and fluorescence microscope permit to relate the supramolecular structure to the elasticity of cellular membranes. It is shown that the elastic response of the pore-spanning cell membranes is governed by the local bending modules rather than the lateral tension.

     Fermer     Plus d'infos

    Small, 5(7): pp. 832-838, 2009.

     


  •  

    Conical Defects in Growing Sheets

    Martin Michael Müller, Martine Ben Amar, Jemal Guven

    Résumé     Plus d'infos

    Phys. Rev. Lett., 101(15): 156104, 2008. Cf. aussi arXiv:0807.1814.

     


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    How paper folds: bending with local constraints

    Jemal Guven, Martin Michael Müller

    Résumé     Plus d'infos

    J. Phys. A: Math. Theor., 41(5): 055203, 2008. Cf. aussi arXiv:0712.0978.

     


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    Contact lines for fluid surface adhesion

    Markus Deserno, Martin Michael Müller, Jemal Guven

    When a fluid surface adheres to a substrate, the location of the contact line adjusts in order to minimize the overall energy. This adhesion balance implies boundary conditions which depend on the characteristic surface deformation energies. We develop a general geometrical framework within which these conditions can be systematically derived. We treat both adhesion to a rigid substrate as well as adhesion between two fluid surfaces, and illustrate our general results for several important Hamiltonians involving both curvature and curvature gradients. Some of these have previously been studied using very different techniques, others are to our knowledge new. What becomes clear in our approach is that, except for capillary phenomena, these boundary conditions are not the manifestation of a local force balance, even if the concept of surface stress is properly generalized. Hamiltonians containing higher order surface derivatives are not just sensitive to boundary translations but also notice changes in slope or even curvature. Both the necessity and the functional form of the corresponding additional contributions follow readily from our treatment.

     Fermer     Plus d'infos

    Phys. Rev. E, 76(1): 011605, 2007. Cf. aussi cond-mat/0703019.
    Choisi pour le Virtual Journal of Biological Physics Research.

     


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    Balancing torques in membrane-mediated interactions: Exact results and numerical illustrations

    Martin Michael Müller, Markus Deserno, Jemal Guven

    Torques on interfaces can be described by a divergence-free tensor which is fully encoded in the geometry. This tensor consists of two terms, one originating in the couple of the stress, the other capturing an intrinsic contribution due to curvature. In analogy to the description of forces in terms of a stress tensor, the torque on a particle can be expressed as a line integral along any contour surrounding the particle. Interactions between particles mediated by a fluid membrane are studied within this framework. In particular, torque balance places a strong constraint on the shape of the membrane. Symmetric two-particle configurations admit simple analytical expressions which are valid in the fully nonlinear regime; in particular, the problem may be solved exactly in the case of two membrane-bound parallel cylinders. This apparently simple system provides some flavor of the remarkably subtle nonlinear behavior associated with membrane-mediated interactions.

     Fermer     Plus d'infos

    Phys. Rev. E, 76(1): 011921, 2007. Cf. aussi cond-mat/0702340.
    Choisi pour le Virtual Journal of Biological Physics Research.

     


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    Aggregation and vesiculation of membrane proteins by curvature-mediated interactions

    Benedict J. Reynwar, Gregoria Illya, Vagelis A. Harmandaris, Martin Michael Müller, Kurt Kremer, Markus Deserno

    Résumé     Plus d'infos

    Nature 447(7143): pp. 461-464, 2007.

     


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    How to determine local elastic properties of lipid bilayer membranes from atomic-force-microscope measurements: A theoretical analysis

    Davood Norouzi, Martin Michael Müller, Markus Deserno

    Résumé     Plus d'infos

    Phys. Rev. E, 74(6): 061914, 2006. Cf. aussi cond-mat/0602662.
    Choisi pour le Virtual Journal of Biological Physics Research.

     


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    Mechanical Properties of Pore-Spanning Lipid Bilayers Probed by Atomic Force Microscopy

    Siegfried Steltenkamp, Martin Michael Müller, Markus Deserno, Christian Hennesthal, Claudia Steinem, Andreas Janshoff

    Résumé     Plus d'infos

    Biophys. J., 91(1): pp. 217-226, 2006.

     


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    Interface mediated interactions between particles -- a geometrical approach

    Martin Michael Müller, Markus Deserno, Jemal Guven

    Résumé     Plus d'infos

    Phys. Rev. E, 72(6): 061407, 2005. Cf. aussi cond-mat/0506019.
    Choisi pour le Virtual Journal of Biological Physics Research.

     


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    Geometry of surface-mediated interactions

    Martin Michael Müller, Markus Deserno, Jemal Guven

    Résumé     Plus d'infos

    Europhys. Lett., 69(3): pp. 482-488, 2005. Cf. aussi cond-mat/0409043.

     


 

 

2. Livres

 

  • New Trends in the Physics and Mechanics of Biological Systems
    Lecture Notes of the Les Houches Summer School, vol. 92 (Oxford University Press, 2011),
    éd. par Martine Ben Amar, Alain Goriely, Martin Michael Müller et Leticia Cugliandolo.

    Chapitre 9 :
    The physics of the cell membrane
    Martin Michael Müller et Martine Ben Amar.

 

 


 

 

3. Mémoires

  • Theoretical examinations of interface mediated interactions between colloidal particles, mémoire (2004).
  •  

  • Theoretical studies of fluid membrane mechanics, thèse de doctorat (2007).


  • Symmetry breaking in bioelasticity, thèse d'habilitation à diriger des recherches (2015).

 

 

 
     

 

     © Martin Michael Müller