Scaling properties of centering forces

Motivated by the centering of biological objects in large cells, we study the generic properties of centering forces inside a ball (or a volume of spherical topology) in $n$ dimensions. We consider two scenarios : autonomous centering (in which distance information is integrated from the agent perspective) and non-autonomous centering (in which distance to the surface is integrated over the whole surface). We find relations between the net centering force and the mean distance$^p$ to the surface. This allows us to find simple scaling laws between the centering force and the distance to the center, as a function of the dimensionality $n$. Interestingly, if the interactions between the agent and the surface are hyper-elastic, the net centering force can still be sub-elastic in the case of autonomous centering. These scaling laws are increasingly violated as the space becomes less convex. Generically, neither scenarios exactly converge to the center of mass of the space

Amplification of actin polymerization forces.

The actin cytoskeleton drives many essential processes in vivo, using molecular motors and actin assembly as force generators. We discuss here the propagation of forces caused by actin polymerization, highlighting simple configurations where the force developed by the network can exceed the sum of the polymerization forces from all filaments

Membrane Mechanics of Endocytosis in Cells with Turgor.

Endocytosis is an essential process by which cells internalize a piece of plasma membrane and material from the outside. In cells with turgor, pressure opposes membrane deformations, and increases the amount of force that has to be generated by the endocytic machinery. To determine this force, and calculate the shape of the membrane, we used physical theory to model an elastic surface under pressure. Accurate fits of experimental profiles are obtained assuming that the coated membrane is highly rigid and preferentially curved at the endocytic site. The forces required from the actin machinery peaks at the onset of deformation, indicating that once invagination has been initiated, endocytosis is unlikely to stall before completion. Coat proteins do not lower the initiation force but may affect the process by the curvature they induce. In the presence of isotropic curvature inducers, pulling the tip of the invagination can trigger the formation of a neck at the base of the invagination. Hence direct neck constriction by actin may not be required, while its pulling role is essential. Finally, the theory shows that anisotropic curvature effectors stabilize membrane invaginations, and the loss of crescent-shaped BAR domain proteins such as Rvs167 could therefore trigger membrane scission

A disassembly-driven mechanism explains F-actin-mediated chromosome transport in starfish oocytes.

While contraction of sarcomeric actomyosin assemblies is well understood, this is not the case for disordered networks of actin filaments (F-actin) driving diverse essential processes in animal cells. For example, at the onset of meiosis in starfish oocytes a contractile F-actin network forms in the nuclear region transporting embedded chromosomes to the assembling microtubule spindle. Here, we addressed the mechanism driving contraction of this 3D disordered F-actin network by comparing quantitative observations to computational models. We analyzed 3D chromosome trajectories and imaged filament dynamics to monitor network behavior under various physical and chemical perturbations. We found no evidence of myosin activity driving network contractility. Instead, our observations are well explained by models based on a disassembly-driven contractile mechanism. We reconstitute this disassembly-based contractile system in silico revealing a simple architecture that robustly drives chromosome transport to prevent aneuploidy in the large oocyte, a prerequisite for normal embryonic development

A computational model of the early stages of acentriolar meiotic spindle assembly.

The mitotic spindle is an ensemble of microtubules responsible for the repartition of the chromosomal content between the two daughter cells during division. In metazoans, spindle assembly is a gradual process involving dynamic microtubules and recruitment of numerous associated proteins and motors. During mitosis, centrosomes organize and nucleate the majority of spindle microtubules. In contrast, oocytes lack canonical centrosomes but are still able to form bipolar spindles, starting from an initial ball that self-organizes in several hours. Interfering with early steps of meiotic spindle assembly can lead to erroneous chromosome segregation. Although not fully elucidated, this process is known to rely on antagonistic activities of plus end- and minus end-directed motors. We developed a model of early meiotic spindle assembly in mouse oocytes, including key factors such as microtubule dynamics and chromosome movement. We explored how the balance between plus end- and minus end-directed motors, as well as the influence of microtubule nucleation, impacts spindle morphology. In a refined model, we added spatial regulation of microtubule stability and minus-end clustering. We could reproduce the features of early stages of spindle assembly from 12 different experimental perturbations and predict eight additional perturbations. With its ability to characterize and predict chromosome individualization, this model can help deepen our understanding of spindle assembly

Systematic Nanoscale Analysis of Endocytosis Links Efficient Vesicle Formation to Patterned Actin Nucleation.

Clathrin-mediated endocytosis is an essential cellular function in all eukaryotes that is driven by a self-assembled macromolecular machine of over 50 different proteins in tens to hundreds of copies. How these proteins are organized to produce endocytic vesicles with high precision and efficiency is not understood. Here, we developed high-throughput superresolution microscopy to reconstruct the nanoscale structural organization of 23 endocytic proteins from over 100,000 endocytic sites in yeast. We found that proteins assemble by radially ordered recruitment according to function. WASP family proteins form a circular nanoscale template on the membrane to spatially control actin nucleation during vesicle formation. Mathematical modeling of actin polymerization showed that this WASP nano-template optimizes force generation for membrane invagination and substantially increases the efficiency of endocytosis. Such nanoscale pre-patterning of actin nucleation may represent a general design principle for directional force generation in membrane remodeling processes such as during cell migration and division

Les membranes cellulaires : identité et transport

In this theoretical work, we studied the relation between membrane identity, transport and organelle structure in cells. We first study the entry of pathogens such as viruses or toxins in cells. We showed how the chemical and physical properties of the cell membrane can control the entry of molecules or bodies. We then focus on transport in the Golgi apparatus. We see that by an adequate formulation of transport in the Golgi, we can give an accurate interpretation of existing experimental data. We show that differences of identity allow the localization of molecules in one cisterna of the Golgi stack. Then, we show that we can write general requirements on the transport processes to enable the heterogeneity of compartments. We show that this requirements may have dramatic functional consequences on transport. Eventually, we study the building of new compartments in the cell. We consider one membrane compartment, which we can see as the precursor of the Golgi apparatus, in which the membrane lipids undergo a chemical reaction and are transformed into another lipid species (as occurs in the Golgi apparatus). There can be a competition between the kinetics of phase separation and the kinetics of the chemical reaction which control the structure of the compartment.Dans ce travail théorique, nous avons étudié les relations entre l'identité d'une membrane (sa composition chimique et ses propriétés physique), le transport lié à cette membrane, et la structure adoptée par cette membrane. Nous avons d'abord étudié l'entrée de pathogènes dans la cellule. Nous avons montré que ce sont les propriétés physiques et la composition de la membrane qui contrôlent l'entrée des pathogènes dans la cellule en contrôlant leur adhésion sur la membrane et leur aggrégation. Nous nous sommes ensuite tournés vers le transport dans l'appareil de Golgi, où nous montrons qu'une formulation adéquate des processus de transport permet de donner une interprétation précise d'expériences passées. Nous avons montré que des différences d'identité dans les membranes peuvent causer un transport des molécules dans l'appareil de Golgi. Nous nous intéressons ensuite à la maintenance de cette identité dans des organelles qui s'échangent en permanence des molécules. Nous montrons que cet échange doit avoir des propriétés particulières pour permettre la conservation de l'identité. Ces propriétés du transport ont un grand rôle sur la physiologie de l'organelle, et nous montrons qu'ils peuvent augmenter le rendement de l'appareil de Golgi. Enfin, nous montrons que le changement progressif d'identité dans un organelle peut contrôler la structure même de cet organelle

ConfocalGN: A minimalistic confocal image generator

Validating image analysis pipelines and training machine-learning segmentation algorithms require images with known features. Synthetic images can be used for this purpose, with the advantage that large reference sets can be produced easily. It is however essential to obtain images that are as realistic as possible in terms of noise and resolution, which is challenging in the field of microscopy. We describe ConfocalGN, a user-friendly software that can generate synthetic microscopy stacks from a ground truth (i.e. the observed object) specified as a 3D bitmap or a list of fluorophore coordinates. This software can analyze a real microscope image stack to set the noise parameters and directly generate new images of the object with noise characteristics similar to that of the sample image. With a minimal input from the user and a modular architecture, ConfocalGN is easily integrated with existing image analysis solutions. Keywords: Synthetic image, Image analysis, Bioinformatic