Contact Angle at the Leading Edge Controls Cell Protrusion Rate

Plasma membrane tension and the pressure generated by actin polymerization are two antagonistic forces believed to define the protrusion rate at the leading edge of migrating cells [1-5]. Quantitatively, resistance to actin protrusion is a product of membrane tension and mean local curvature (Laplace's law); thus, it depends on the local geometry of the membrane interface. However, the role of the geometry of the leading edge in protrusion control has not been yet investigated. Here, we manipulate both the cell shape and substrate topography in the model system of persistently migrating fish epidermal keratocytes. We find that the protrusion rate does not correlate with membrane tension, but, instead, strongly correlates with cell roundness, and that the leading edge of the cell exhibits pinning on substrate ridges a phenomenon characteristic of spreading of liquid drops. These results indicate that the leading edge could be considered a triple interface between the substrate, membrane, and extracellular medium and that the contact angle between the membrane and the substrate determines the load on actin polymerization and, therefore, the protrusion rate. Our findings thus illuminate a novel relationship between the 3D shape of the cell and its dynamics, which may have implications for cell migration in 3D environments.

Interplay between cytoskeletal forces, membrane tension and shape in rapidly migrating cells

Chiara Gabella

Cell migration is a fundamental process in all animal cells. The ability of cell to migrate is crucial for many pathological and physiological conditions such as morphogenesis, the immune response to inflammatory or vascular diseases and cancer metastasis. Actin polymerization pressure and membrane tension are two major forces defining the dynamics of cell leading edge during migration: actin polymerization pushes the membrane forward to drive the motion, while membrane tension is believed to counteract and control protrusion. Recent studies implicated membrane tension in control of cell spreading, limiting lateral extension of the cell, confining protrusion to a single leading edge, and crushing actin network during retraction at the cell rear; however, direct experimental evidence is conflicting. Moreover, actin polymerization and membrane tension are not directly opposing each other, since membrane tension is oriented along the membrane surface, while actin polymerization is directed generally parallel to the substrate. Thus the shape of the leading edge may have important, albeit as yet unknown effect on the force balance. To understand how these forces are orchestrated at the cell’s leading edge, we employed the model system of fish epithelial keratocytes which are spontaneously highly motile and are characterized by a remarkably stable shape and constant protrusion rate, making any changes due to experimental treatments traceable and accessible for quantitative analysis. We set out to measure actin protrusion rate, membrane tension, and three dimensional shape of these cells subjected to manipulation of osmotic pressure, cytoskeletal contractility and drastic shape perturbations (cell wounding). To accomplish this goal, we first developed a simple and reliable technique to measure cell height and volume. This method is based on exclusion of fluorescent dye from the volume of the cell: the decrease of the fluorescent signal with respect to the background is proportional to the height and the volume of the object. We calibrated the technique using a glass microfabricated pattern with steps of defined heights and validated it by comparing our measurements with the ones obtained by atomic force microscopy (AFM). The method is fast and allows precise monitoring of height and volume of rapidly migrating cells, and do not require any modification to the standard epifluorescence setup. We applied our method to measure the real-time volume dynamics of migrating fish epidermal keratocytes subjected to osmotic stress and cytoskeletal perturbations. We then analyzed the relationship between shape of the cell, protrusion rate and membrane tension. We find that protrusion rate does not correlate with membrane tension, but, instead, is strongly correlated with cell roundness. We rationalized the relationship between cell roundness and protrusion velocity using the framework developed for wetting phenomena. The contact angle that the cell forms with the substrate defines the contribution of membrane tension to the force balance at the leading edge: the higher the contact angle, the less load is applied from the membrane to the actin network and therefore the faster is actin protrusion. We validated this concept by manufacturing topographically modified surfaces and showing that the leading edge of the cell exhibits pinning on substrate ridges - a phenomenon characteristic of spreading of liquid drops. These results demonstrate the role of contact angle at the leading edge in control of protrusion, which has important implications for cell shape dynamics and cell migration in 3D. We have also analyzed protrusion velocity in the case of high planar curvature of the advancing edge which was accomplished by making small circular wounds in keratocyte’s lamellipodia. The fact that these wounds presenting negative planar curvature close faster than the protrusion rate at the edge of the cell, is consistent with the important role of membrane curvature in the control of protrusion velocity. Our study underscores the fundamental importance of membrane configuration for cellular force balance and edge dynamics. It provides a novel framework for understanding the relationship between global cell shape and its local dynamics, of the balance between lamellipodia protrusion and blebbing, and for modulation of cell shape and motion by substrate topology.

EPFL2013

Effects of dynamic environments on extracellular morphogen gradients

Mark Fleury

Tissue morphogenesis and remodeling is often orchestrated by cell-secreted proteins, referred to as morphogens that can trigger cellular responses in addition to modifying the local extracellular matrix (ECM). Of specific interest is the distribution of cell secreted proteins in the cell microenvironment and how this distribution can lead to varied responses. Morphogens often provide directional cues, and as such their specific distribution is critical to the signaling that they induce, in other words cells are sensitive to morphogen gradients and not just absolute amounts. Natural cellular environments in native tissue involve three dimensional ECM and are typically subjected to dynamic conditions such as interstitial flow (IF). Despite the importance of the extracellular environment in signaling, very little is known regarding the effects of mechanical stresses and subtle interstitial flows. This thesis examines the role of IF on morphogen gradients using mass transport models to elucidate mechanisms responsible for several specific biological phenomena including in vitro capillary formation and lymphatic metastasis of tumor cells. In vitro capillary formation had been shown in our lab to be separately enhanced by bound VEGF alone and slow IF alone, with the combination of these two conditions resulting in marked increase in organization. Using our computational model we were able to propose a novel mechanistic model to explain this synergy. Specifically showed how, through the combined effects of IF and matrix-bound growth factors, cells could create their own biased chemokine gradients without recourse to internal amplification methods. This process, which we have termed "autologous chemotaxis," drives directional signaling and migration in the direction of flow. This can occur even at very low Peclet numbers, when diffusion still dominates the overall transport, but convection changes the shape of the gradient, which is what a cell responds to. We then examined the effects of IF on tumor cell migration to explore a novel mechanism of lymphatic metastasis. Tumors often produce high amounts of proteoglycans creating a microenvironment is rich in morphogen binding sites, and tumors are also a source of interstitial flow due to their leaky vasculature. The lymphatic system drains interstitial fluid, therefore IF is always directed toward lymphatic capillaries. The lymphatic system is also a common route of tumor metastasis, which is what lead us to study the role of IF mediated chemotaxis. A computational model of an in vitro tumor invasion assay was constructed that predicted tumor cell migration that was in very good agreement with the in vitro experimental results. This phenomenon was further studied by modeling an in vivo geometry and examining the factors controlling autologous gradient formation in a physiological setting. In conclusion, we have demonstrated the importance of convective mass transport at very low flow velocities in a biological context. While these velocities are low enough that the convective effects would typically be ignored, their subtle effects on pericellular mass transport can be translated into relevant and observable morphogenic responses.

EPFL2007

Effects of extracellular fiber architecture on cell membrane shear stress in a 3D fibrous matrix

Federica Boschetti, Melody Swartz

Interstitial fluid flow has been shown to affect the organization and behavior of cells in 3D environments in vivo and in vitro, yet the forces driving such responses are not clear. Due to the complex architecture of the extracellular matrix (ECM) and the difficulty of measuring fluid flow near cells embedded in it, the levels of shear stress experienced by cells in this environment are typically estimated using bulk-averaged matrix parameters such as hydraulic permeability. While this is useful for estimating average stresses, it cannot yield insight into how local matrix fiber architecture-which is cell-controlled in the immediate pericellular environment-affects the local stresses imposed on the cell surface. To address this, we used computational fluid dynamics to study flow through an idealized mesh constructed of a cubic lattice of fibers simulating a typical in vitro collagen gel. We found that, in such high porosity matrices, the fibers strongly affect the flow fields near the cell, with peak shear stresses up to five times higher than those predicted by the Brinkman equation. We also found that minor remodeling of the fibers near the cell surface had major effects on the shear stress profile on the cell. These findings demonstrate the importance of fiber architecture to the fluid forces on a cell embedded in a 3D matrix, and also show how small modifications in the local ECM can lead to large changes in the mechanical environment of the cell.