Homepage of Martin Michael Müller

Publications

Articles in scientific journals
Books
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

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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

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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

We present a numerical study of the time-dependent motion of a membrane vesicle in a channel under an imposed flow. In a Poiseuille flow the shape of the vesicle depends on the flow strength, the mechanical properties of the membrane, and the width of the channel. In a wide parameter region, the emerging snaking shape shows an oscillatory motion like a swimmer flagella even though the flow is stationary. We quantify this behavior by the amplitude and frequency of the oscillations of the vesicle's center of mass. The influence of an amplitude modulation of the imposed flow on the dynamics and shape of the snaking vesicle is also investigated. We find that this modulation---when sufficiently small---induces a modulation in amplitude and frequency of the center of mass of the snaking vesicle. For large modulation amplitudes transitions to static shapes are observed.

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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

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

Squeezed helical elastica

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

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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

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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

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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

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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
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.

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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

Abstract

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

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

Fluid membrane vesicles in confinement

Osman Kahraman, Norbert Stoop, Martin Michael Müller

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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

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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

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

Conical instabilities on paper

Jemal Guven, Martin Michael Müller, Pablo Vázquez-Montejo

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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

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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
We investigate the morphology of thin discs and rings growing in circumferential direction. Recent analytical results suggest that this growth produces symmetric excess cones (e-cones). We study the stability of such solutions considering self-contact and bending stress. We show that, contrary to what was assumed in previous analytical solutions, beyond a critical growth factor, no symmetric e-cone solution is energetically minimal any more. Instead, we obtain skewed e-cone solutions having lower energy, characterized by a skewness angle and repetitive spiral winding with increasing growth. These results are generalized to discs with varying thickness and rings with holes of different radii.

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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

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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

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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

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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

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

Conical Defects in Growing Sheets

Martin Michael Müller, Martine Ben Amar, Jemal Guven

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

How paper folds: bending with local constraints

Jemal Guven, Martin Michael Müller

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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.

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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

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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

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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
Measurements with an atomic force microscope (AFM) offer a direct way to probe elastic properties of lipid bilayer membranes locally: provided the underlying stress-strain relation is known, material parameters such as surface tension or bending rigidity may be deduced. In a recent experiment a pore-spanning membrane was poked with an AFM tip, yielding a linear behavior of the force-indentation curves. A theoretical model for this case is presented here which describes these curves in the framework of Helfrich theory. The linear behavior of the measurements is reproduced if one neglects the influence of adhesion between tip and membrane. Including it via an adhesion balance changes the situation significantly: force-distance curves cease to be linear, hysteresis and nonzero detachment forces can show up. The characteristics of this rich scenario are discussed in detail in this article.

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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

Interface mediated interactions between particles -- a geometrical approach

Martin Michael Müller, Markus Deserno, Jemal Guven
Particles bound to an interface interact because they deform its shape. The stresses that result are fully encoded in the geometry and described by a divergence-free surface stress tensor. This stress tensor can be used to express the force on a particle as a line integral along any conveniently chosen closed contour that surrounds the particle. The resulting expression is exact (i.e., free of any 'smallness' assumptions) and independent of the chosen surface parametrization. Additional surface degrees of freedom, such as vector fields describing lipid tilt, are readily included in this formalism. As an illustration, we derive the exact force for several important surface Hamiltonians in various symmetric two-particle configurations in terms of the midplane geometry; its sign is evident in certain interesting limits. Specializing to the linear regime, where the shape can be analytically determined, these general expressions yield force-distance relations, several of which have originally been derived by using an energy based approach.

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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

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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).