M. Pinot, F. Chesnel, J.Z. Kubiak, I. Arnal, F.J. Nedelec, Z. Gueroui 

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Effects of Confinement on the Self-Organization of Microtubules and Motors  M. Pinot, F. Chesnel, J.Z. Kubiak, I. Arnal, F.J. Nedelec, Z. Gueroui  Current Biology  Volume 19, Issue 11, Pages 954-960 (June 2009) DOI: 10.1016/j.cub.2009.04.027 Copyright © 2009 Elsevier Ltd Terms and Conditions

Figure 1 Self-Organization of Microtubules and Motors inside Droplets (A) Schematic representation of aster self-organization in Xenopus egg extracts. Microtubules randomly grow throughout the cytoplasm and are organized by minus-end-directed motor proteins. Motor protein complexes cross-link neighboring filaments and organize them in radial arrays (green triangles: oligomeric motors; orange dots: tubulin dimers). (B) Fluorescent observation of a fully developed aster in Xenopus egg extracts after a 10 min incubation. (C) Schematic representation of the extract-in-oil droplet. (D and E) Extract-in-oil droplets at the initial stage (D) and after a 10 min incubation (E). Scale bars represent 10 μm. Current Biology 2009 19, 954-960DOI: (10.1016/j.cub.2009.04.027) Copyright © 2009 Elsevier Ltd Terms and Conditions

Figure 2 Microtubule-Based Structures Undergo Symmetry Breaking as a Function of Droplet Size Fluorescent observations of microtubule structures inside droplets of different diameters. (A) A radial aster inside a 39 μm droplet. (B) An asymmetrical semi-aster inside a 25 μm droplet. (C) A cortical-like configuration inside an 11 μm droplet. (D) Proportions of radial asters, asymmetrical semi-asters, and cortical-like bundles as a function of the droplet size (600 droplets out of 21 experiments). (E) Colocalization of MT bundles of a semi-aster (top) with fluorescent marker of MT polarity (bottom). (F) Orientation of the poles of 385 semi-asters. The distribution is consistent with a random orientation. Scale bars represent 10 μm. (G) The center of a sphere is an unstable position for a self-organized aster. This model shows that the aster pole moves away from the geometrical center of the confinement (cross) in order to allow most of the MT filaments to adopt a configuration that is the least compressed and bent. Indeed, the most favorable configuration for a rigid fiber is the one with minimal curvature, minimizing the filament elastic energy. In the case of a self-organized aster in a sphere, when the fibers are slightly longer than the sphere radius, the configuration can be predicted with simple arguments. Microtubules can pivot around the focal point of the aster, meaning that in the absence of friction, they will all rotate on one side and push the pivot even further off-center to allow for the most favorable configuration for minimization of the filament elastic energy. Thus, the center is an unstable position. Even if microtubules are initially equally distributed, an instability arises between the angular distribution of the microtubule and the position of the focus point. The dashed circle represents the space of minimum compression and curvature for MTs. Current Biology 2009 19, 954-960DOI: (10.1016/j.cub.2009.04.027) Copyright © 2009 Elsevier Ltd Terms and Conditions

Figure 3 Examples of Computed Microtubule and Motor Protein Configurations as a Function of the Confinement Size The parameters are set as in Table S1, unless otherwise specified. Microtubule length = 14.5 μm. (A) Radial aster inside a 32 μm confinement (30 filaments, 1000 minus-end motor dimers [gray dots]). (B) Asymmetrical semi-aster structure inside a 26 μm confinement (28 filaments, 1000 minus-end motor dimers). (C) Cortical-like bundles inside a 10 μm confinement (six filaments, 500 minus-end motor dimers). Steady-state configurations of semi-asters obtained from numerical simulations showed a stochastic enrichment of motor complexes at the pole. This stochastic asymmetry is amplified by motor transport, a process faster than the Brownian diffusion of motors at the scale of the droplet. (D and E) Distribution of the structures as a function of the confinement diameter (100 runs for each diameter). Scale bars represent 5 μm. Current Biology 2009 19, 954-960DOI: (10.1016/j.cub.2009.04.027) Copyright © 2009 Elsevier Ltd Terms and Conditions

Figure 4 Self-Organization of Microtubules and Motors Depends on Membrane Bending Stiffness (A) Schematic representation of the compartmentalization process of the Xenopus metaphase cell extract inside vesicles. (B–D) Results of microtubule and motor self-organization inside vesicles formed with 5% or 50% cholesterol, corresponding to a membrane stiffness of roughly 1 × 10−19 J or 6 × 10−19 J, respectively. (E) Percentage of morphologies as a function of the membrane stiffness. (F) Fluorescence observations and schematic representations of microtubule-based structures inside vesicles as a function of the bending stiffness. Scale bars represent 10 μm. Below the schematic representation, the percentage of vesicles containing each structure type is given for vesicles containing 5% cholesterol (top) or 50% cholesterol (bottom). Current Biology 2009 19, 954-960DOI: (10.1016/j.cub.2009.04.027) Copyright © 2009 Elsevier Ltd Terms and Conditions