Publications

1. Articles in scientific journals
2. Books
3. Theses

See also profiles on Publons, Orcid or Google Scholar.

1. Articles in scientific journals

•  

  Conformational Space of the Translocation Domain of Botulinum Toxin: Atomistic Modeling and Mesoscopic Description of the Coiled-Coil Helix Bundle Alexandre Delort, Grazia Cottone, Thérèse E. Malliavin, Martin Michael Müller

  
  Abstract     
  
  Int. J. Mol. Sci., 25: 2481, 2024.

   

  ---

•  

  Flexoelectric fluid membrane vesicles in spherical confinement Niloufar Abtahi, Lila Bouzar, Nadia Saidi-Amroun, Martin Michael Müller

  EPL, 131(1): 18001, 2020. See also arXiv:2006.04475.
  

   

  ---

•  

  Isometric bending requires local constraints on free edges Jemal Guven, Martin Michael Müller, Pablo Vázquez-Montejo

  
  Abstract     Read more
  
  Math. Mech. Solids, 24: 4051, 2019. See also arXiv:1904.05855.
  

   

  ---

•  

  Helical Superstructure of Intermediate Filaments Lila Bouzar, Martin Michael Müller, René Messina, Bernd Nöding, Sarah Köster, Hervé Mohrbach, Igor M. Kulić

  
  Abstract     Read more
  
  Phys. Rev. Lett., 122: 098101, 2019. See also arXiv:1803.04691.
  

   

  ---

•  

  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

  
  Abstract     
  
  Phys. Rev. E, 98: 043111, 2018. See also arXiv:1810.04500.
  

   

  ---

•  

  Confining a fluid membrane vesicle of toroidal topology in an adhesive hard sphere Lila Bouzar, Ferhat Menas, Martin Michael Müller

  We discuss how the equilibrium shapes of a confined toroidal fluid membrane vesicle change when an adhesion between membrane and confining sphere is taken into account. The case without adhesion was studied in Ref. [1]. Different types of solution were found and assembled in a phase diagram as a function of area and reduced volume of the membrane. Depending on the degree of confinement the vesicle is either free, in contact along a circle (contact-circle solutions) or on a surface (contact-area solutions). All solutions without adhesion are up-down symmetric. When the container is adhesive, the phase diagram is altered and new kinds of solution without up-down symmetry are found. For increasing values of adhesion the region of contact-circle solutions shrinks until it vanishes completely from the phase diagram.
  
   Reduce     Read more
  

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

   

  ---

•  

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

  We theoretically study the conformations of a helical semi-flexible filament confined to a two-dimensional surface. This squeezed helix exhibits a variety of unexpected shapes resembling circles, waves or spirals depending on the material parameters. We explore the conformation space in detail and show that the shapes can be understood as the mutual elastic interaction of conformational quasi-particles. Our theoretical results are potentially useful to determine the material parameters of such helical filaments in an experimental setting.
  
   Reduce     Read more
  

  Eur. Phys. J. E, 39: 114, 2016. See also arXiv:1606.03611.
  

   

  ---

•  

  How bio-filaments twist membranes Julien Fierling, Albert Johner, Igor M. Kulić, Hervé Mohrbach, Martin Michael Müller

  
  Abstract     
  
  Soft Matter, 12: 5747, 2016.

   

  ---

•  

  Toroidal membrane vesicles in spherical confinement Lila Bouzar, Ferhat Menas, Martin Michael Müller

  
  Abstract     Read more
  
  Phys. Rev. E, 92: 032721, 2015. See also arXiv:1509.00765.
  

   

  ---

•  

  Non-linear buckling and symmetry breaking of a soft elastic sheet sliding on a cylindrical substrate Norbert Stoop, Martin Michael Müller

  
  Abstract     Read more
  
  Int. J. Non-Linear Mech., 75: 115, 2015. See also arXiv:1503.05030.
  

   

  ---

•  

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

  
  Abstract     Read more
  
  Europhys. Lett., 107(6): 68002, 2014. See also arXiv:1408.6787.
  

   

  ---

•  

  Confotronic dynamics of tubular filaments Osman Kahraman, Hervé Mohrbach, Martin Michael Müller, Igor M. Kulić

  
  Abstract     Read more
  
  Soft Matter, 10(16): pp. 2836-2847, 2014. See also arXiv:1312.3106.
  

   

  ---

•  

  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.
  
   Reduce     
  

  New J. Phys., 15: 113055, 2013. See also arXiv:1306.2619.
  

   

  ---

•  

  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

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

   

  ---

•  

  Dipoles in thin sheets Jemal Guven, J. A. Hanna, Osman Kahraman, Martin Michael Müller

  
  Abstract     Read more
  
  Eur. Phys. J. E, 36: 106, 2013. See also arXiv:1212.3262.
  

   

  ---

•  

  Fluid membrane vesicles in confinement Osman Kahraman, Norbert Stoop, Martin Michael Müller

  We numerically study the morphology of fluid membrane vesicles with prescribed volume and surface area in confinement. For spherical confinement we observe axisymmetric invaginations that transform into ellipsoidal invaginations a the area of the vesicle is increased, followed by a transition into stomatocyte-like shapes. We provide a detailed analysis of the axisymmetric shapes and investigate the effect of the spontaneous curvature of the membrane as a possible mechanism for shape regulation. We show that the observed morphologies are stable under small geometric deformations of the confinement. The results could help to understand the role of mechanics in the complex folding patterns of biological membranes.
  
   Reduce     Read more
  

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

   

  ---

•  

  Petal shapes of sympetaleous flowers: the interplay between growth, geometry and elasticity Martine Ben Amar, Martin Michael Müller, Miguel Trejo

  
  Abstract     Read more
  
  New J. Phys., 14: 085014, 2012. Also featured in the Highlights of 2012.

   

  ---

•  

  Morphogenesis of membrane invaginations in spherical confinement Osman Kahraman, Norbert Stoop, Martin Michael Müller

  
  Abstract     Read more
  
  Europhys. Lett., 97(6): 68008, 2012. See also arXiv:1201.2518.
  

   

  ---

•  

  Conical instabilities on paper Jemal Guven, Martin Michael Müller, Pablo Vázquez-Montejo

  
  Abstract     Read more
  
  J. Phys. A: Math. Theor., 45(1): 015203, 2012. See also arXiv:1107.5008.
  

   

  ---

•  

  Interface-mediated interactions: Entropic forces of curved membranes Pierre Gosselin, Hervé Mohrbach, Martin Michael Müller

  
  Abstract     Read more
  
  Phys. Rev. E, 83(5): 051921, 2011. See also arXiv:1011.1221.
  

   

  ---

•  

  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

  
  Abstract     Read more
  
  Phys. Rev. Lett., 105(6): 068101, 2010. See also arXiv:1007.1871.
  

   

  ---

•  

  Cell Model Approach to Membrane Mediated Protein Interactions Martin Michael Müller, Markus Deserno

  
  Abstract     Read more
  
  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

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

   

  ---

•  

  Local Membrane Mechanics of Pore-Spanning Bilayers Ingo Mey, Milena Stephan, Eva K. Schmitt, Martin Michael Müller, Martine Ben Amar, Claudia Steinem, Andreas Janshoff

  The mechanical behavior of lipid bilayers spanning the pores of highly ordered porous silicon substrates was studied by local indentation experiments as a function of surface functionalization, lipid composition, solvent content, indentation velocity, and pore radius. Solvent-containing nanoblack lipid membranes (nano-BLMs) as well as solvent-free pore-spanning bilayers were imaged by fluorescence and atomic force microscopy prior to force curve acquisition, which allows distinguishing between membrane-covered and uncovered pores. Force indentation curves on pore-spanning bilayers attached to functionalized hydrophobic porous silicon substrates reveal a predominately linear response that is mainly attributed to prestress in the membranes. This is in agreement with the observation that indentation leads to membrane lysis well below 5% area dilatation. However, membrane bending and lateral tension dominates over prestress and stretching if solvent-free supported membranes obtained from spreading giant liposomes on hydrophilic porous silicon are indented.
  
   Reduce     Read more
  

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

   

  ---

•  

  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

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

   

  ---

•  

  Conical Defects in Growing Sheets Martin Michael Müller, Martine Ben Amar, Jemal Guven

  
  Abstract     Read more
  
  Phys. Rev. Lett., 101(15): 156104, 2008. See also arXiv:0807.1814.
  

   

  ---

•  

  How paper folds: bending with local constraints Jemal Guven, Martin Michael Müller

  
  Abstract     Read more
  
  J. Phys. A: Math. Theor., 41(5): 055203, 2008. See also arXiv:0712.0978.
  

   

  ---

•  

  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.
  
   Reduce     Read more
  

  Phys. Rev. E, 76(1): 011605, 2007. See also cond-mat/0703019.
  Also featured in the Virtual Journal of Biological Physics Research.

   

  ---

•  

  Balancing torques in membrane-mediated interactions: Exact results and numerical illustrations Martin Michael Müller, Markus Deserno, Jemal Guven

  
  Abstract     Read more
  
  Phys. Rev. E, 76(1): 011921, 2007. See also cond-mat/0702340.
  Also featured in the Virtual Journal of Biological Physics Research.

   

  ---

•  

  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

  Membrane remodelling plays an important role in cellular tasks such as endocytosis, vesiculation and protein sorting, and in the biogenesis of organelles such as the endoplasmic reticulum or the Golgi apparatus. It is well established that the remodelling process is aided by specialized proteins that can sense as well as create membrane curvature, and trigger tubulation when added to synthetic liposomes. Because the energy needed for such large-scale changes in membrane geometry significantly exceeds the binding energy between individual proteins and between protein and membrane, cooperative action is essential. It has recently been suggested that curvature-mediated attractive interactions could aid cooperation and complement the effects of specific binding events on membrane remodelling. But it is difficult to experimentally isolate curvature-mediated interactions from direct attractions between proteins. Moreover, approximate theories predict repulsion between isotropically curving proteins. Here we use coarse-grained membrane simulations to show that curvature-inducing model proteins adsorbed on lipid bilayer membranes can experience attractive interactions that arise purely as a result of membrane curvature. We find that once a minimal local bending is realized, the effect robustly drives protein cluster formation and subsequent transformation into vesicles with radii that correlate with the local curvature imprint. Owing to its universal nature, curvature-mediated attraction can operate even between proteins lacking any specific interactions, such as newly synthesized and still immature membrane proteins in the endoplasmic reticulum.
  
   Reduce     Read more
  

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

   

  ---

•  

  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

  
  Abstract     Read more
  
  Phys. Rev. E, 74(6): 061914, 2006. See also cond-mat/0602662.
  Also featured in the Virtual Journal of Biological Physics Research.

   

  ---

•  

  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

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

   

  ---

•  

  Interface mediated interactions between particles -- a geometrical approach Martin Michael Müller, Markus Deserno, Jemal Guven

  
  Abstract     Read more
  
  Phys. Rev. E, 72(6): 061407, 2005. See also cond-mat/0506019.
  Also featured in the Virtual Journal of Biological Physics Research.

   

  ---

•  

  Geometry of surface-mediated interactions Martin Michael Müller, Markus Deserno, Jemal Guven

  
  Abstract     Read more
  
  Europhys. Lett., 69(3): pp. 482-488, 2005. See also cond-mat/0409043.
  

   

  ---

2. Books

• New Trends in the Physics and Mechanics of Biological Systems
  Lecture Notes of the Les Houches Summer School, vol. 92 (Oxford University Press, 2011),
  edited by Martine Ben Amar, Alain Goriely, Martin Michael Müller and Leticia Cugliandolo.
  
  Chapter 9:
  The physics of the cell membrane
  Martin Michael Müller and Martine Ben Amar.

3. Theses

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



• Theoretical studies of fluid membrane mechanics, dissertation (2007).



• Symmetry breaking in bioelasticity, habilitation thesis (2015).