Alexander B. Verkhovsky

SELF-POLARIZATION AND DIRECTIONAL MOTILITY OF CYTOPLASM

BACKGROUND Directional cell motility implies the presence of a steering mechanism and a functional asymmetry between the front and rear of the cell. How this functional asymmetry arises and is maintained during cell locomotion is, however, unclear. Lamellar fragments of fish epidermal keratocytes, which lack nuclei, microtubules and most organelles, present a simplified, perhaps minimal, system for analyzing this problem because they consist of little other than the motile machinery enclosed by a membrane and yet can move with remarkable speed and persistence. RESULTS We have produced two types of cellular fragments: discoid stationary fragments and polarized fragments undergoing locomotion. The organization and dynamics of the actin-myosin II system were isotropic in stationary fragments and anisotropic in the moving fragments. To investigate whether the creation of asymmetry could result in locomotion, a transient mechanical stimulus was applied to stationary fragments. The stimulus induced localized contraction and the formation of an actin-myosin II bundle at one edge of the fragment. Remarkably, stimulated fragments started to undergo locomotion and the locomotion and associated anisotropic organization of the actin-myosin II system were sustained after withdrawal of the stimulus. CONCLUSIONS We propose a model in which lamellar cytoplasm is considered a dynamically bistable system capable of existing in a non-polarized or polarized state and interconvertible by mechanical stimulus. The model explains how the anisotropic organization of the lamellum is maintained in the process of locomotion. Polarized locomotion is sustained through a positive-feedback loop intrinsic to the actin-myosin II machinery: anisotropic organization of the machinery drives translocation, which then reinforces the asymmetry of the machinery, favoring further translocation.

Force Transmission in Migrating Cells

Analysis of the relationship between actin network velocity and traction forces at the substrate shows that force transmission mechanisms vary with distinct regions of the cell.

Comparative Dynamics of Retrograde Actin Flow and Focal Adhesions: Formation of Nascent Adhesions Triggers Transition from Fast to Slow Flow

Dynamic actin network at the leading edge of the cell is linked to the extracellular matrix through focal adhesions (FAs), and at the same time it undergoes retrograde flow with different dynamics in two distinct zones: the lamellipodium (peripheral zone of fast flow), and the lamellum (zone of slow flow located between the lamellipodium and the cell body). Cell migration involves expansion of both the lamellipodium and the lamellum, as well as formation of new FAs, but it is largely unknown how the position of the boundary between the two flow zones is defined, and how FAs and actin flow mutually influence each other. We investigated dynamic relationship between focal adhesions and the boundary between the two flow zones in spreading cells. Nascent FAs first appeared in the lamellipodium. Within seconds after the formation of new FAs, the rate of actin flow decreased locally, and the lamellipodium/lamellum boundary advanced towards the new FAs. Blocking fast actin flow with cytochalasin D resulted in rapid dissolution of nascent FAs. In the absence of FAs (spreading on poly-L-lysine-coated surfaces) retrograde flow was uniform and the velocity transition was not observed. We conclude that formation of FAs depends on actin dynamics, and in its turn, affects the dynamics of actin flow by triggering transition from fast to slow flow. Extension of the cell edge thus proceeds through a cycle of lamellipodium protrusion, formation of new FAs, advance of the lamellum, and protrusion of the lamellipodium from the new base.

Actin-myosin viscoelastic flow in the keratocyte lamellipod

The lamellipod, the locomotory region of migratory cells, is shaped by the balance of protrusion and contraction. The latter is the result of myosin-generated centripetal flow of the viscoelastic actin network. Recently, quantitative flow data was obtained, yet there is no detailed theory explaining the flow in a realistic geometry. We introduce models of viscoelastic actin mechanics and myosin transport and solve the model equations numerically for the flat, fan-shaped lamellipodial domain of keratocytes. The solutions demonstrate that in the rapidly crawling cell, myosin concentrates at the rear boundary and pulls the actin network inward, so the centripetal actin flow is very slow at the front, and faster at the rear and at the sides. The computed flow and respective traction forces compare well with the experimental data. We also calculate the graded protrusion at the cell boundary necessary to maintain the cell shape and make a number of other testable predictions. We discuss model implications for the cell shape, speed, and bi-stability.

Analysis of actin dynamics at the leading edge of crawling cells: implications for the shape of keratocyte lamellipodia

Leading edge protrusion is one of the critical events in the cell motility cycle and it is believed to be driven by the assembly of the actin network. The concept of dendritic nucleation of actin filaments provides a basis for understanding the organization and dynamics of the actin network at the molecular level. At a larger scale, the dynamic geometry of the cell edge has been described in terms of the graded radial extension model, but this level of description has not yet been linked to the molecular dynamics. Here, we measure the graded distribution of actin filament density along the leading edge of fish epidermal keratocytes. We develop a mathematical model relating dendritic nucleation to the long-range actin distribution and the shape of the leading edge. In this model, a steady-state graded actin distribution evolves as a result of branching, growth and capping of actin filaments in a finite area of the leading edge. We model the shape of the leading edge as a product of the extension of the actin network, which depends on actin filament density. The feedback between the actin density and edge shape in the model results in a cell shape and an actin distribution similar to those experimentally observed. Thus, we explain the stability of the keratocyte shape in terms of the self-organization of the branching actin network.

Role of Focal Adhesions and Mechanical Stresses in the Formation and Progression of the Lamellum Interface

Actin network in the front part of a moving cell is organized into a lamellipodium and a lamellum. A distinct lamellipodium-lamellum interface is associated with focal adhesions and consists of a series of arclike segments linking neighboring focal adhesions in the front row. The interface advances by leaping onto new rows of focal adhesions maturating underneath the lamellipodium. We propose a mechanism of the lamellipodium-lamellum boundary generation, shape formation, and progression based on the elastic stresses generated in the lamellipodial actin gel by its friction against the focal adhesions. The crucial assumption of the model is that stretching stresses trigger actin gel disintegration. We compute the stress distribution throughout the actin gel and show that the gel-disintegrating stresses drive formation of a gel boundary passing through the row of focal adhesions. Our computations recover the lamellipodium-lamellum boundary shapes detected in cells and predict the mode of the boundary transition to the row of the newly maturing focal adhesions in agreement with the experimental observations. The model fully accounts for the current phenomenology of the lamellipodium-lamellum interface formation and advancing, and makes experimentally testable predictions on the dependence of these phenomena on the sizes of the focal adhesions, the character of the focal adhesion distribution on the substrate, and the velocity of the actin retrograde flow with respect to the focal adhesions. The phase diagram resulting from the model provides a background for quantitative classification of different cell types with respect to their ability to form a lamellipodium-lamellum interface. In addition, the model suggests a mechanism of nucleation of the dorsal and arclike actin bundles found in the lamellum.

High-resolution cell outline segmentation and tracking from phase-contrast microscopy images.

Accurate extraction of cell outlines from microscopy images is essential for analysing the dynamics of migrating cells. Phase‐contrast microscopy is one of the most common and convenient imaging modalities for observing cell motility because it does not require exogenous labelling and uses only moderate light levels with generally negligible phototoxicity effects. Automatic extraction and tracking of high‐resolution cell outlines from phase‐contrast images, however, is difficult due to complex and non‐uniform edge intensity. We present a novel image‐processing method based on refined level‐set segmentation for accurate extraction of cell outlines from high‐resolution phase‐contrast images. The algorithm is validated on synthetic images of defined noise levels and applied to real image sequences of polarizing and persistently migrating keratocyte cells. We demonstrate that the algorithm is able to reliably reveal fine features in the cell edge dynamics.

Dynamic measurement of the height and volume of migrating cells by a novel fluorescence microscopy technique

We propose a new technique to measure the volume of adherent migrating cells. The method is based on a negative staining where a fluorescent, non-cell-permeant dye is added to the extracellular medium. The specimen is observed with a conventional fluorescence microscope in a chamber of uniform height. Given that the fluorescence signal depends on the thickness of the emitting layer, the objects excluding the fluorescent dye (i.e., cells) appear dark, and the decrease of the fluorescent signal with respect to the background is expected to give information about the height and the volume of the object. Using a glass microfabricated pattern with steps of defined heights, we show that the drop in fluorescence intensity is indeed proportional to the height of the step and obtain calibration curves relating fluorescence intensity to height. The technique, termed the fluorescence displacement method, is further validated by comparing our measurements with the ones obtained by atomic force microscopy (AFM). We apply our method to measure the real-time volume dynamics of migrating fish epidermal keratocytes subjected to osmotic stress. The fluorescence displacement technique allows fast and precise monitoring of cell height and volume, thus providing a valuable tool for characterizing the three-dimensional behaviour of migrating cells.

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 (Laplaces 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.

Plectin sidearms mediate interactions of intermediate filaments with microtubules and other components of the cytoskeleton.

The IF-associated protein plectin has been proposed to be a cytoplasmic cross-linker (Foisner and Wiche, 1991). We recently reported unique “millipede-like” structures in mammalian cell cytoskeletons revealed after removal of actin by treatment with gelsolin (Svitkina et al., 1995, 1996). Here we demonstrate, by immunogold labeling, that the millipede structures are composed of cores of vimentin IFS with sidearms containing plectin. The dimensions of the sidearms (up to 200 nm long and 2-3 nm wide) match the size of plectin molecules (Foisner and Wiche, 1987), suggesting that sidearms are made of individual plectin molecules, or a few of them in register. These plectin sidearms connect IFS to microtubules, the actin-based cytoskeleton, and possibly to membrane components. Plectin binding to microtubules is significantly increased in cells from transgenic mice lacking IFS (MFT16 cell line, courtesy of Dr. R. Evans). Numerous sidearms are associated with microtubules in these cells, giving them an unusual “hairy” appearance. After microinjection of exogenous vimentin in MFT-16 cells, IFS of variable length are formed within 3 h; the IFS have a very high density of associated plectin, whereas microtubules lose most of their plectin sidearms. These results suggest the existence of a pool of plectin that preferentially associates with IFS, but that may also be competed for by microtubules. The association of IFS with microtubules shows