The role of mechanics in actin stress fiber kinetics.

The dynamic responses of actin stress fibers within a cell's cytoskeleton are central to the development and maintenance of healthy tissues and organs. Disturbances to these underlie a broad range of pathologies. Because of the importance of these responses, extensive experiments have been conducted in vitro to characterize actin cytoskeleton dynamics of cells cultured upon two-dimensional substrata, and the first experiments have been conducted for cells within three-dimensional tissue models. Three mathematical models exist for predicting the dynamic behaviors observed. Surprisingly, despite differing viewpoints on how actin stress fibers are stabilized or destabilized, all of these models are predictive of a broad range of available experimental data. Coarsely, the models of Kaunas and co-workers adopt a strategy whereby mechanical stretch can hasten the depolymerization actin stress fibers that turn over constantly, while the models of Desphande and co-workers adopt a strategy whereby mechanical stress is required to activate the formation of stress fibers and subsequently stabilize them. In three-dimensional culture, elements of both approaches appear necessary to predict observed phenomena, as embodied by the model of Lee et al. After providing a critical review of existing models, we propose lines of experimentation that might be able to test the different principles underlying their kinetic laws.

Phenotypic screening for pharmaceuticals using tissue constructs.

Compounds can be screened for pharmaceutical activity either by detecting interactions with specified target molecules such as receptors or enzymes (molecular screening) or observing effects on the structure or physiological activities of cells or tissues (phenotypic screening). Screening at the molecular level has been greatly enhanced by fluorescence methods. Especially the combination of confocal detection with measurements of the amplitudes and time courses of fluorescence fluctuations have reduced sample volumes to < microliters and have increased throughputs to >100000 compounds per day. Screening at the molecular level, however, does not provide information about the effects of test compounds on cellular functions. Phenotypic screening, although much slower than molecular screening, does provide information about effects on cell or tissue structure or function and therefore can be used to eliminate at an early stage compounds that are toxic or do not produce the desired cellular response. Tissue constructs reconstituted using cells of specified types and defined extracellular matrix components provide test systems for detecting the effects of test compounds on cellular mechanical functions such as the development of contractile force and on cell and matrix structure and stiffness. For example, constructs based on vascular smooth muscle cells provide information about effects on cellular contractile force that can be used to identify agents that control blood pressure. Tissue constructs that mimic skeletal, smooth and heart muscles and connective tissues have been produced and can be used to study mechanical and structural responses to active compounds.

Fluorescence correlation spectroscopy measures molecular transport in cells.

Fluorescence correlation spectroscopy (FCS) can measure dynamics of fluorescent molecules in cells. FCS measures the fluctuations in the number of fluorescent molecules in a small volume illuminated by a thin beam of excitation light. These fluctuations are processed statistically to yield an autocorrelation function from which rates of diffusion, convection, chemical reaction, and other processes can be extracted. The advantages of this approach include the ability to measure the mobility of a very small number of molecules, even down to the single molecule level, over a wide range of rates in very small regions of a cell. In addition to rates of diffusion and convection, FCS also provides unique information about the local concentration, states of aggregation and molecular interaction using fluctuation amplitude and cross-correlation methods. Recent advances in technology have rendered these once difficult measurements accessible to routine use in cell biology and biochemistry. This review provides a summary of the FCS method and describes current areas in which the FCS approach is being extended beyond its original scope.

Substrate recognition by gelatinase A: the C-terminal domain facilitates surface diffusion.

An investigation of gelatinase A binding to gelatin produced results that are inconsistent with a traditional bimolecular Michaelis-Menten formalism but are effectively accounted for by a power law characteristic of fractal kinetics. The main reason for this inconsistency is that the bulk of the gelatinase A binding depends on its ability to diffuse laterally on the gelatin surface. Most interestingly, we show that the anomalous lateral diffusion and, consequently, the binding to gelatin is greatly facilitated by the C-terminal hemopexin-like domain of the enzyme whereas the specificity of binding resides with the fibronectin-like gelatin-binding domain.

Effects of cytochalasin D and latrunculin B on mechanical properties of cells.

Actin microfilaments transmit traction and contraction forces generated within a cell to the extracellular matrix during embryonic development, wound healing and cell motility, and to maintain tissue structure and tone. Therefore, the state of the actin cytoskeleton strongly influences the mechanical properties of cells and tissues. Cytochalasin D and Latrunculin are commonly used reagents that, by different mechanisms, alter the state of actin polymerization or the organization of actin filaments. We have investigated the effect of a wide range of Cytochalasin D and Latrunculin B concentrations (from 40 pM to 10 microM) on the mechanical properties of the cells within fibroblast populated collagen matrices. Contractile force and dynamic stiffness were measured by uniaxial stress-strain testing. The range of effective concentrations of Cytochalasin D (200 pM-2 microM) was broader than that of Latrunculin B (20 nM-200 nM). Activating the cells by serum did not change the effective range of Cytochalasin D concentrations but shifted that of Latrunculin B upward by tenfold. Simple mathematical binding models based on the presumed mechanisms of action of Cytochalasin D and Latrunculin B simulated the concentration-dependent mechanical changes reasonably well. This study shows a strong dependence of the mechanical properties of cells and tissues on the organization and degree of polymerization of actin filaments.

A cell-based constitutive relation for bio-artificial tissues.

By using a combination of continuum and statistical mechanics we derive an integral constitutive relation for bio-artificial tissue models consisting of a monodisperse population of cells in a uniform collagenous matrix. This constitutive relation quantitatively models the dependence of tissue stress on deformation history, and makes explicit the separate contribution of cells and matrix to the mechanical behavior of the composite tissue. Thus microscopic cell mechanical properties can be deduced via this theory from measurements of macroscopic tissue properties. A central feature of the constitutive relation is the appearance of "anisotropy tensors" that embody the effects of cell orientation on tissue mechanics. The theory assumes that the tissues are stable over the observation time, and does not in its present form allow for cell migration, reorientation, or internal remodeling. We have compared the predictions of the theory to uniaxial relaxation tests on fibroblast-populated collagen matrices (FPMs) and find that the experimental results generally support the theory and yield values of fibroblast contractile force and stiffness roughly an order of magnitude smaller than, and viscosity comparable to, the corresponding properties of active skeletal muscle. The method used here to derive the tissue constitutive equation permits more sophisticated cell models to be used in developing more accurate representations of tissue properties.

Cell mechanics studied by a reconstituted model tissue.

Tissue models reconstituted from cells and extracellular matrix (ECM) simulate natural tissues. Cytoskeletal and matrix proteins govern the force exerted by a tissue and its stiffness. Cells regulate cytoskeletal structure and remodel ECM to produce mechanical changes during tissue development and wound healing. Characterization and control of mechanical properties of reconstituted tissues are essential for tissue engineering applications. We have quantitatively characterized mechanical properties of connective tissue models, fibroblast-populated matrices (FPMs), via uniaxial stretch measurements. FPMs resemble natural tissues in their exponential dependence of stress on strain and linear dependence of stiffness on force at a given strain. Activating cellular contractile forces by calf serum and disrupting F-actin by cytochalasin D yield "active" and "passive" components, which respectively emphasize cellular and matrix mechanical contributions. The strain-dependent stress and elastic modulus of the active component were independent of cell density above a threshold density. The same quantities for the passive component increased with cell number due to compression and reorganization of the matrix by the cells.

Collagen receptor control of epithelial morphogenesis and cell cycle progression.

To define the unique contributions of the alpha subunit cytoplasmic tails of the alpha(1)beta(1) and alpha(2)beta(1) integrin to epithelial differentiation and branching morphogenesis, a variant NMuMG cell line lacking alpha(1)beta(1) and alpha(2)beta(1) integrin expression was stably transfected with the full-length alpha(2) integrin subunit cDNA (X2C2), chimeric cDNA consisting of the extracellular and transmembrane domains of the alpha(2) subunit and the cytoplasmic domain of the alpha(1) subunit (X2C1), or alpha(2) cDNA truncated after the GFFKR sequence (X2C0). The X2C2 and X2C1 transfectants effectively adhered, spread, and formed focal adhesion complexes on type I collagen matrices. The X2C0 transfectants were less adherent to low concentrations of type I collagen, spread less well, and formed poorly defined focal adhesion complexes in comparison to the X2C2 and X2C1 transfectants. The X2C2 and X2C1 transfectants but not the X2C0 transfectants proliferated on collagen substrates. Only the X2C2 transfectants developed elongate branches and tubules in three-dimensional collagen gels and migrated on type I collagen. These findings suggest a unique role for the alpha(2) integrin cytoplasmic domain in postligand binding events and cooperative interactions with growth factors that mediate epithelial differentiation and branching morphogenesis. Either intact alpha(1) or alpha(2) integrin subunit cytoplasmic domain can promote cell cycle progression.

Forces in cell locomotion.

The molecular mechanisms that drive animal cell locomotion are partially characterized, but not definitively understood. It seems likely that actin polymerization contributes to the forward protrusion of the leading edge of a migrating cell. Both myosin-dependent contractile forces and selective detachment of adhesive interactions with the substratum seem to contribute to release of the posterior of an extended cell. It is probable, but not certain, that a separate 'traction' force advances the cell body towards the forward anchorage sites formed by the advancing lamellipodium. The molecular mechanism of this force is unknown. Determining the role of traction forces in migrating fibroblasts and keratocytes is complicated by the fact that the primary functions of the relatively strong forces exerted on the substratum by these cells may be to establish tissue 'tone' and to remodel tissue matrices, rather than to drive locomotion. In accordance with this notion, rapidly moving cells such as neutrophils and Dictyostelium amoebae exert weaker forces on the substratum as they migrate. The traction force in cell migration may be distinct from traction forces with tissue functions. Ultimately, the mechanism may be revealed by using molecular genetics to disrupt the motors that provide this force. Reconstituted tissues provide systems in which to investigate the regulation of cell forces and their contribution to tissue mechanical properties and development.

Quantitative study of polymer conformation and dynamics by single-particle tracking.

We present a new method for analyzing the dynamics of conformational fluctuations of individual flexible polymer molecules. In single-particle tracking (SPT), one end of the polymer molecule is tethered to an immobile substratum. A microsphere attached to the other end serves as an optical marker. The conformational fluctuations of the polymer molecule can be measured by optical microscopy via the motion of the microsphere. The bead-and-spring theory for polymer dynamics is further developed to account for the microsphere, and together the measurement and the theory yield quantitative information about molecular conformations and dynamics under nonperturbing conditions. Applying the method to measurements carried out on DNA molecules provides information complementary to recent studies of single DNA molecules under extensional force. Combining high precision measurements with the theoretical analysis presented here creates a powerful tool for studying conformational dynamics of biological and synthetic macromolecules at the single-molecule level.

Weak dependence of mobility of membrane protein aggregates on aggregate size supports a viscous model of retardation of diffusion.

Proteins in plasma membranes diffuse more slowly than proteins inserted into artificial lipid bilayers. On a long-range scale (>250 nm), submembrane barriers, or skeleton fences that hinder long-range diffusion and create confinement zones, have been described. Even within such confinement zones, however, diffusion of proteins is much slower than predicted by the viscosity of the lipid. The cause of this slowing of diffusion on the micro scale has not been determined and is the focus of this paper. One way to approach this question is to determine the dependence of particle motion on particle size. Some current models predict that the diffusion coefficient of a membrane protein aggregate will depend strongly on its size, while others do not. We have measured the diffusion coefficients of membrane glycoprotein aggregates linked together by concanavalin A molecules bound to beads of various sizes, and also the diffusion coefficients of individual concanavalin A binding proteins. The measurements demonstrate at most a weak dependence of diffusion coefficient on aggregate size. This finding supports retardation by viscous effects, and is not consistent with models involving direct interaction of diffusing proteins with cytoskeletal elements.

Axial and transverse stiffness measures of cochlear outer hair cells suggest a common mechanical basis.

The function of the hearing organ is based on mechanical processes occurring at the cellular level. The mechanical properties of guinea-pig isolated sensory cells were investigated using two different techniques. The stiffness of the outer hair cells along the longitudinal axis was measured by compressing the cell body using stiffness-calibrated quartz fibres. For cells with a mean length of 69 micron, the mean axial compression stiffness was 1. 1+/-0.8 mN/m (+/-SD). There was an inverse relation between stiffness and cell length. The stiffness of the cell membrane perpendicular to the longitudinal axis of the sensory cell was measured by indenting the cell membrane with a known force. The mean lateral indentation stiffness was 3.3+/-1.5 mN/m (+/-SD) for cells with a mean length of 64 microm. Longer cells were less stiff than short cells. Modelling the hair cell as a shell with bending resistance, finite element calculations demonstrated that the axial compression stiffness correlated well with the lateral indentation stiffness, and that a simple isotropic model is sufficient to explain the experimental observations despite the different stress strain states produced by the two techniques. The results imply that the two different stiffness properties may originate from the same cytoskeletal structures. It is suggested that the mechanical properties of the outer hair cells are designed to influence the sound-induced motion of the reticular lamina. In such a system, stiffness changes of the outer hair cell bodies could actively control the efficiency of the mechanical coupling between the basilar membrane and the important mechanoelectrical transduction sites at the surface of the hearing organ.

Three-dimensional reconstitution of embryonic cardiomyocytes in a collagen matrix: a new heart muscle model system.

A method has been developed for culturing cardiac myocytes in a collagen matrix to produce a coherently contracting 3-dimensional model heart tissue that allows direct measurement of isometric contractile force. Embryonic chick cardiomyocytes were mixed with collagen solution and allowed to gel between two Velcro-coated glass tubes. During culture, the cardiomyocytes formed spontaneously beating cardiac myocyte-populated matrices (CMPMs) anchored at opposite ends to the Velcro-covered tubes through which they could be attached to a force measuring system. Immunohistochemistry and electron microscopy revealed a highly organized tissue-like structure of alpha-actin and alpha-tropomyosin-positive cardiac myocytes exhibiting typical cross-striation, sarcomeric myofilaments, intercalated discs, desmosomes, and tight junctions. Force measurements of paced or unpaced CMPMs were performed in organ baths after 6-11 days of cultivation and were stable for up to 24 h. Force increased with frequency between 0.8 and 2.0 Hz (positive "staircase"), increasing rest length (Starling mechanism), and increasing extracellular calcium. The utility of this system as a test bed for genetic manipulation was demonstrated by infecting the CMPMs with a recombinant beta-galactosidase-carrying adenovirus. Transduction efficiency increased from about 5% (MOI 0.1) to about 50% (MOI 100). CMPMs display more physiological characteristics of intact heart tissue than monolayer cultures. This approach, simpler and faster than generation of transgenic animals, should allow functional consequences of genetic or pharmacological manipulation of cardiomyocytes in vitro to be studied under highly controlled conditions.

Expression of the catalytic domain of myosin light chain kinase increases paracellular permeability.

Contractile events resulting from phosphorylation of the 20-kDa myosin light chain (MLC20) have been implicated in the regulation of epithelial tight junction permeability. To address this question, Madin-Darby canine kidney cells were transfected with a murine leukemia retroviral vector containing DNA encoding either the catalytic domain of myosin light chain kinase (tMK) or the beta-galactosidase gene (beta-gal). Autoradiograms of sodium dodecyl sulfate-polyacrylamide gel electrophoresis analysis of myosin immunoprecipitated from 32Pi-labeled transfected cells demonstrated that MLC20 phosphorylation was increased 3.1 +/- 0.9-fold in cells expressing tMK compared with cells expressing beta-gal. Phosphopeptide mapping confirmed that myosin light chain kinase was responsible for the increased MLC20 phosphorylation. Transepithelial electrical resistance, a measurement of barrier function, of tMK cell monolayers was consistently < 10% (123 +/- 20 omega.cm2) of that of monolayers comprised of wild-type cells (1,456 +/- 178 omega.cm2) or cells expressing beta-gal (1,452 +/- 174 omega.cm2). Dual 22Na+ and [3H]mannitol flux studies indicated that the decrease in resistance in tMK cells was attributable to increased paracellular flow. These data support the idea that MLC20 phosphorylation by myosin light chain kinase is involved in regulating epithelial tight junction permeability.

Contraction due to microtubule disruption is associated with increased phosphorylation of myosin regulatory light chain.

Microtubules have been proposed to function as rigid struts which oppose cellular contraction. Consistent with this hypothesis, microtubule disruption strengthens the contractile force exerted by many cell types. We have investigated alternative explanation for the mechanical effects of microtubule disruption: that microtubules modulate the mechanochemical activity of myosin by influencing phosphorylation of the myosin regulatory light chain (LC20). We measured the force produced by a population of fibroblasts within a collagen lattice attached to an isometric force transducer. Treatment of cells with nocodazole, an inhibitor of microtubule polymerization, stimulated an isometric contraction that reached its peak level within 30 min and was typically 30-45% of the force increase following maximal stimulation with 30% fetal bovine serum. The contraction following nocodazole treatment was associated with a 2- to 4-fold increase in LC20 phosphorylation. The increases in both force and LC20 phosphorylation, after addition of nocodazole, could be blocked or reversed by stabilizing the microtubules with paclitaxel (former generic name, taxol). Increasing force and LC20 phosphorylation by pretreatment with fetal bovine serum decreased the subsequent additional contraction upon microtubule disruption, a finding that appears inconsistent with a load-shifting mechanism. Our results suggest that phosphorylation of LC20 is a common mechanism for the contractions stimulated both by microtubule poisons and receptor-mediated agonists. The modulation of myosin activity by alterations in microtubule assembly may coordinate the physiological functions of these cytoskeletal components.

Fibroblast contractility without an increase in basal myosin light chain phosphorylation in wild type cells and cells expressing the catalytic domain of myosin light chain kinase.

We investigated the role of myosin light chain (MLC20) phosphorylation (MLC-P) in non-muscle contractility by comparing MLC-P and the contractile properties of wild type 3T3 fibroblasts and 3T3 fibroblasts expressing the catalytic domain of myosin light chain kinase (tMK). MLC-P is 0.96 MOL of PO4/mol of MOL20 in cell expressing tMK compared to 0.20 mol of PO4/mol of MLC20 in control cells. Expressing tMK also results in a 2-fold increase in cortical stiffness compared to control cells. Contractile properties were quantified by growing wild type and transfected fibroblasts in collagen and attaching the ensuing fibers to an apparatus for performing mechanical measurements. Serum stimulation resulted in a dose-dependent increase in force with maximal force generated in the presence of 30% (v/v) serum. Surprisingly, MLC-P did not increase in wild type cells following stimulation with 30% serum, and tMK expression did not affect the contractile properties of fibers made from these cells. Moreover, the dose responses to serum, maximal force, force-velocity relationships, and dynamic stiffness were similar in the wild type cells and fibroblasts expressing tMK. These data demonstrate that non-muscle cells can generate force without an increase in MLC-P, and that an increase in MLC-P does not affect the contractile properties of fibroblast fibers.

Capping protein levels influence actin assembly and cell motility in dictyostelium.

Actin assembly is important for cell motility, but the mechanism of assembly and how it relates to motility in vivo is largely unknown. In vitro, actin assembly can be controlled by proteins, such as capping protein, that bind filament ends. To investigate the function of actin assembly in vivo, we altered the levels of capping protein in Dictyostelium cells and found changes in resting and chemoattractant-induced actin assembly that were consistent with the in vitro properties of capping protein in capping but not nucleation. Significantly, overexpressers moved faster and underexpressers moved slower than control cells. Mutants also exhibited changes in cytoskeleton architecture. These results provide insights into in vivo actin assembly and the role of the actin cytoskeleton in motility.

Mechanical function of dystrophin in muscle cells.

We have directly measured the contribution of dystrophin to the cortical stiffness of living muscle cells and have demonstrated that lack of dystrophin causes a substantial reduction in stiffness. The inferred molecular structure of dystrophin, its preferential localization underlying the cell surface, and the apparent fragility of muscle cells which lack this protein suggest that dystrophin stabilizes the sarcolemma and protects the myofiber from disruption during contraction. Lacking dystrophin, the muscle cells of persons with Duchenne muscular dystrophy (DMD) are abnormally vulnerable. These facts suggest that muscle cells with dystrophin should be stiffer than similar cells which lack this protein. We have tested this hypothesis by measuring the local stiffness of the membrane skeleton of myotubes cultured from mdx mice and normal controls. Like humans with DMD mdx mice lack dystrophin due to an x-linked mutation and provide a good model for the human disease. Deformability was measured as the resistance to indentation of a small area of the cell surface (to a depth of 1 micron) by a glass probe 1 micron in radius. The stiffness of the membrane skeleton was evaluated as the increment of force (mdyne) per micron of indentation. Normal myotubes with an average stiffness value of 1.23 +/- 0.04 (SE) mdyne/micron were about fourfold stiffer than myotubes cultured from mdx mice (0.34 +/- 0.014 mdyne/micron). We verified by immunofluorescence that both normal and mdx myotubes, which were at a similar developmental stage, expressed sarcomeric myosin, and that dystrophin was detected, diffusely distributed, only in normal, not in mdx myotubes. These results confirm that dystrophin and its associated proteins can reinforce the myotube membrane skeleton by increasing its stiffness and that dystrophin function and, therefore, the efficiency of therapeutic restoration of dystrophin can be assayed through its mechanical effects on muscle cells.

A mechanical function of myosin II in cell motility.

Myosin II mutant Dictyostelium amoebae crawl more slowly than wild-type cells. Thus, myosin II must contribute to amoeboid locomotion. We propose that contractile forces generated by myosin II help the cell's rear edge to detach from the substratum and retract, allowing the cell to continue forward. To test this hypothesis, we measured the speed of wild-type and myosin II null mutant Dictyostelium cells on surfaces of varying adhesivity. As substratum adhesivity increased, the speed of myosin II null mutant cells decreased substantially compared to wild-type cells, suggesting that the mutant is less able to retract from sticky surfaces. Furthermore, interference reflection microscopy revealed a myosin-II-dependent contraction in wild-type but not null mutant cells that is consistent with a balance of adhesive and contractile forces in retraction. Although myosin II null mutant cells have a defect in retraction, pseudopod extension does not cause the cells to become elongated on sticky surfaces. This suggests a mechanism, based possibly on cytoskeletal tension, for regulating cell shape in locomotion. The tension would result from the transmission of tractional forces through the cytoskeletal network, providing the myosin II null mutant with a limited means of retraction and cell division on a surface.