Publications (en anglais)
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Articles scientifiques
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Mémoires
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1. Articles scientifiques
| 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 | Int. J. Mol. Sci., 25: 2481, 2024.
| Flexoelectric fluid membrane vesicles in spherical confinement
Niloufar Abtahi, Lila Bouzar, Nadia Saidi-Amroun, Martin Michael Müller |
The morphology of spherically confined flexoelectric fluid membrane vesicles in an ex-
ternal uniform electric field is studied numerically. Due to the deformations induced by
the confinement, the membrane becomes polarized resulting in an interaction with the
external field. The equilibrium shapes of the vesicle without electric field can be clas-
sified in a geometrical phase diagram as a function of scaled area and reduced volume
[1, 2]. When the area of the membrane is only slightly larger than the area of the con-
fining sphere, a single axisymmetric invagination appears. A non-vanishing electric field
induces an additional elongation of the confined vesicle which is either perpendicular or
parallel depending on the sign of the electric field parameter. Higher values of the surface
area or the electric field parameter can reduce the symmetry of the system leading to
more complex folding. We present the resulting shapes and show that transition lines
are shifted in the presence of an electric field. The obtained folding patterns could be of
interest for biophysical and technological applications alike.
Fermer
Plus d'infos
EPL, 131(1): 18001, 2020. Cf. aussi arXiv:2006.04475.
| 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.
| 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.
| 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.
| 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.
| 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.
| How bio-filaments twist membranes
Julien Fierling, Albert Johner, Igor M. Kulić, Hervé Mohrbach, Martin Michael Müller |
We study the deformations of a fluid membrane imposed by adhering stiff
bio-filaments due to the torques they apply. In the limit of small deformations, we
derive a general expression for the energy and the deformation field of the membrane.
This expression is specialised to different important cases including closed and helical
bio-filaments. In particular, we analyse interface-mediated interactions and membrane
wrapping when the filaments apply a local torque distribution on a tubular membrane.
Fermer
Soft Matter, 12: 5747, 2016.
| Toroidal membrane vesicles in spherical confinement
Lila Bouzar, Ferhat Menas, Martin Michael Müller |
Résumé
Plus d'infos
Phys. Rev. E, 92: 032721, 2015. Cf. aussi arXiv:1509.00765.
| 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.
| Crunching Biofilament Rings
Julien Fierling, Martin Michael Müller, Hervé Mohrbach, Albert Johner, Igor M. Kulić |
We discuss a curious example for the collective mechanical behavior of coupled non-linear monomer units entrapped in a circular filament. Within a simple model we elucidate how multistability of monomer units and exponentially large degeneracy of the filament's ground state emerge as a collective feature of the closed filament. Surprisingly, increasing the monomer frustration, i.e., the bending prestrain within the circular filament, leads to a conformational softening of the system. The phenomenon, that we term polymorphic crunching, is discussed and applied to a possible scenario for membrane tube deformation by switchable dynamin or FtsZ filaments. We find an important role of cooperative inter-unit interaction for efficient ring induced membrane fission.
Fermer
Plus d'infos
Europhys. Lett., 107(6): 68002, 2014. Cf. aussi arXiv:1408.6787.
| Confotronic dynamics of tubular filaments
Osman Kahraman, Hervé Mohrbach, Martin Michael Müller, Igor M. Kulić |
Résumé
Plus d'infos
Soft Matter, 10(16): pp. 2836-2847, 2014. Cf. aussi arXiv:1312.3106.
| Whirling skirts and rotating cones
Jemal Guven, J. A. Hanna, Martin Michael Müller |
Résumé
New J. Phys., 15: 113055, 2013. Cf. aussi 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 |
Résumé
J. Cell Sci., 126(8): 1806, 2013.
| Dipoles in thin sheets
Jemal Guven, J. A. Hanna, Osman Kahraman, Martin Michael Müller |
A flat elastic sheet may contain pointlike conical singularities that carry a metrical "charge" of Gaussian curvature. Adding such elementary defects to a sheet allows one to make many shapes, in a manner broadly
analogous to the familiar multipole construction in electrostatics. However, here the underlying field theory is non-linear,
and superposition of intrinsic defects is non-trivial as it must respect the immersion of the resulting surface in three
dimensions. We consider a "charge-neutral" dipole composed of two conical singularities of opposite sign.
Unlike the relatively simple electrostatic case, here there are two distinct stable minima and an infinity of unstable equilibria.
We determine the shapes of the minima and evaluate their energies in the thin-sheet regime where bending dominates
over stretching. Our predictions are in surprisingly good agreement with experiments on paper sheets.
Fermer
Plus d'infos
Eur. Phys. J. E, 36: 106, 2013. Cf. aussi 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.
Fermer
Plus d'infos
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 |
Résumé
Plus d'infos
New J. Phys., 14: 085014, 2012. Choisi pour les Highlights of 2012.
| 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.
| 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.
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Plus d'infos
J. Phys. A: Math. Theor., 45(1): 015203, 2012. Cf. aussi arXiv:1107.5008.
| Interface-mediated interactions: Entropic forces of curved membranes
Pierre Gosselin, Hervé Mohrbach, Martin Michael Müller |
Particles embedded in a fluctuating interface experience forces and torques
mediated by the deformations and by the thermal fluctuations of the medium.
Considering a system of two cylinders bound to a fluid membrane we show that
the entropic contribution enhances the curvature-mediated repulsion between
the two cylinders. This is contrary to the usual attractive Casimir force in
the absence of curvature-mediated interactions. For a large distance between
the cylinders, we retrieve the renormalization of the surface tension of a
flat membrane due to thermal fluctuations.
Fermer
Plus d'infos
Phys. Rev. E, 83(5): 051921, 2011. Cf. aussi 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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Plus d'infos
Phys. Rev. Lett., 105(6): 068101, 2010. Cf. aussi arXiv:1007.1871.
| 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 |
Résumé
Plus d'infos
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 |
Résumé
Plus d'infos
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 |
Résumé
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.
| 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.
| Contact lines for fluid surface adhesion
Markus Deserno, Martin Michael Müller, Jemal Guven |
Résumé
Plus d'infos
Phys. Rev. E, 76(1): 011605, 2007. Cf. aussi cond-mat/0703019. Choisi pour le Virtual Journal of Biological Physics Research.
| Balancing torques in membrane-mediated interactions: Exact results and
numerical illustrations
Martin Michael Müller, Markus Deserno, Jemal Guven |
Résumé
Plus d'infos
Phys. Rev. E, 76(1): 011921, 2007. Cf. aussi cond-mat/0702340. Choisi pour le 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 |
Résumé
Plus d'infos
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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Plus d'infos
Phys. Rev. E, 74(6): 061914, 2006. Cf. aussi cond-mat/0602662. Choisi pour le 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 |
We measure the elastic response of a free-standing lipid membrane to a local indentation by using an atomic force microscope. Starting point is a planar
gold-coated alumina substrate with a chemisorbed 3-mercaptopropionic acid
monolayer displaying circular pores of very well defined and tunable size, over
which bilayers composed of N,N,- dimethyl- N,N,- dioctadecylammonium bromide or
1,2 - dioleoyl - 3 - trimethylammonium - propane chloride were spread.
Centrally indenting these 'nanodrums' with an atomic force microscope tip yields
force-indentation curves, which we quantitatively analyze by solving the
corresponding shape equations of continuum curvature elasticity. Since the
measured response depends in a known way on the system geometry (pore size, tip
radius) and on material parameters (bending modulus, lateral tension), this opens
the possibility to monitor local elastic properties of lipid membranes in a
well-controlled setting.
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Plus d'infos
Biophys. J., 91(1): pp. 217-226, 2006.
| 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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Plus d'infos
Phys. Rev. E, 72(6): 061407, 2005. Cf. aussi cond-mat/0506019. Choisi pour le Virtual Journal of Biological Physics Research.
| 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
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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
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Theoretical examinations of interface mediated interactions between colloidal particles,
mémoire (2004).
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Theoretical studies of fluid membrane mechanics, thèse de doctorat (2007).
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Symmetry breaking in bioelasticity, thèse d'habilitation à diriger des recherches (2015).
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