A model for cell motility on soft bio-adhesive substrates

Mechanical stiffness of bio-adhesive substrates has been recognized as a major regulator of cell motility. We present a simple physical model to study the crawling locomotion of a contractile cell on a soft elastic substrate. The mechanism of rigidity sensing is accounted for using Schwarz's two-spring model Schwarz et al. (2006). The predicted dependency between the speed of motility and substrate stiffness is qualitatively consistent with experimental observations. The model demonstrates that the rigidity dependent motility of cells is rooted in the regulation of actomyosin contractile forces by substrate deformation at each anchorage point. On stiffer substrates, the traction forces required for cell translocation acquire larger magnitude but show weaker asymmetry which leads to slower cell motility. On very soft substrates, the model predicts a biphasic relationship between the substrate rigidity and the speed of locomotion, over a narrow stiffness range, which has been observed experimentally for some cell types.     

Measuring anisotropic cell motility on curved substrates

Schwann cell motility was observed on laminin‐coated quartz cylinders with different curvatures over an 18 hour period. A new analysis based on difference images helped to determine the minimal radius of curvature, 46 μm, which restricted motility along the cylinder axis. The migration speed, measured by calculating differences between successive images in the time series, ranged between 0.3 to 0.8 μm per minute and is similar to previously reported rates for Schwann cells. Difference images provide a rapid and simple method for the analysis of cell motility on large populations of cells. (© 2013 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)     

Thermoresponsive micropatterned substrates for single cell studies

We describe the design of micropatterned surfaces for single cell studies, based on thermoresponsive polymer brushes. We show that brushes made of poly(N-isopropylacrylamide) grafted at high surface density display excellent protein and cell anti-adhesive properties. Such brushes are readily patterned at the micron scale via deep UV photolithography. A proper choice of the adhesive pattern shapes, combined with the temperature-dependent swelling properties of PNIPAM, allow us to use the polymer brush as a microactuator which induces cell detachment when the temperature is reduced below [Formula: see text]C.     

Dynamics of cellular focal adhesions on deformable substrates: consequences for cell force microscopy

Cell focal adhesions are micrometer-sized aggregates of proteins that anchor the cell to the extracellular matrix. Within the cell, these adhesions are connected to the contractile, actin cytoskeleton; this allows the adhesions to transmit forces to the surrounding matrix and makes the adhesion assembly sensitive to the rigidity of their environment. In this article, we predict the dynamics of focal adhesions as a function of the rigidity of the substrate. We generalize previous theories and include the fact that the dynamics of proteins that adsorb to adhesions are also driven by their coupling to cell contractility and the deformation of the matrix. We predict that adhesions reach a finite size that is proportional to the elastic compliance of the substrate, on a timescale that also scales with the compliance: focal adhesions quickly reach a relatively small, steady-state size on soft materials. However, their apparent sliding is not sensitive to the rigidity of the substrate. We also suggest some experimental probes of these ideas and discuss the nature of information that can be extracted from cell force microscopy on deformable substrates.     

A model for studies of the deformable rib cage.

An earlier model for the study of rib cage mechanics was modified so that rib deformity in scoliosis could be better represented. The rigid ribs of that model were replaced by five-segment deformable ribs. Literature data on cadaver rib mechanical behavior were used to assign stiffnesses to the new individual model ribs so that experimental and model rib deflections agreed. Shear and tension/compression stiffnesses had little effect on individual rib deformation, but bending stiffnesses had a major effect. Level-to-level differences in mechanical behavior could be explained almost exclusively by level to level differences in the rib shape. The model ribs were then assembled into a whole rib cage. Computer simulations of whole rib cage behaviors, both in vivo and in vitro, showed a reasonable agreement with the measured behaviors. The model was used to study rib cage mechanics in two scolioses, one with a 43 degrees and the other with a 70 degrees Cobb angle. Scoliotic rib cage deformities were quantified by parameters measuring the rib cage lateral offset, rib cage axial rotation, rib cage volume and rib distortion. Rib distortion was quantified both in best-fit and simulated computer tomography (CT) scan planes. Model rib distortion was much smaller in best-fit planes than in CT planes. The total rib cage volume changed little in the presence of the scolioses, but it became asymmetrically distributed.     

A surface-chemical basis for cell motility.

The properties of droplets encapsulated in a thin film of another liquid are discussed and it will be shown that by applying the macrocluster concept, in which surface tension is important, many phenomena resembling biological activity can be explained, the driving force being the loss of chemical potential as a surfactant moves from a lipid to an aqueous phase.     

Measurement of intracellular strain on deformable substrates with texture correlation

Mechanical stimuli are important factors that regulate cell proliferation, survival, metabolism and motility in a variety of cell types. The relationship between mechanical deformation of the extracellular matrix and intracellular deformation of cellular sub-regions and organelles has not been fully elucidated, but may provide new insight into the mechanisms involved in transducing mechanical stimuli to biological responses. In this study, a novel fluorescence microscopy and image analysis method was applied to examine the hypothesis that mechanical strains are fully transferred from a planar, deformable substrate to cytoplasmic and intranuclear regions within attached cells. Intracellular strains were measured in cells derived from the anulus fibrosus of the intervertebral disc when attached to an elastic silicone membrane that was subjected to tensile stretch. Measurements indicated cytoplasmic strains were similar to those of the underlying substrate, with a strain transfer ratio (STR) of 0.79. In contrast, nuclear strains were much smaller than those of the substrate, with an STR of 0.17. These findings are consistent with previous studies indicating nuclear stiffness is significantly greater than cytoplasmic stiffness, as measured using other methods. This study provides a novel method for the study of cellular mechanics, including a new technique for measuring intranuclear deformations, with evidence of differential magnitudes and patterns of strain transferred from the substrate to cell cytoplasm and nucleus.     

Cytoskeleton cross-talk during cell motility.

Cell crawling entails the co-ordinated creation and turnover of substrate contact sites that interface with the actin cytoskeleton. The initiation and maturation of contact sites involves signalling via the Rho family of small G proteins, whereas their turnover is under the additional influence of the microtubule cytoskeleton. By exerting relaxing effects on substrate contact assemblies in a site- and dose-specific manner, microtubules can promote both protrusion at the front and retraction at the rear, and thereby control cell polarity.     

Harmonics of outer hair cell motility.

The voltage-dependent mechanical activity of outer hair cells (OHC) from the organ of Corti is considered responsible for the peripheral auditory system's enhanced ability to detect and analyze sound. Nonlinear processes within the inner ear are presumed to be characteristic of this enhancement process. Harmonic distortion in the OHC mechanical response was analyzed under whole-cell voltage clamp. It is shown that the OHC produces DC, fundamental and second harmonic length changes in response to sinusoidal transmembrane voltage stimulation. Mechanical second harmonic distortion decreases with frequency, whereas the predicted transmembrane second harmonic voltage increases with frequency. Furthermore, the phase of the second harmonic distortion does not correspond to the phase of the predicted transmembrane voltage. In contradistinction, it has been previously shown (Santos-Sacchi, J. 1992. Neuroscience. 12:1906-1916) that fundamental voltage and evoked mechanical responses share magnitude and phase characteristics. OHC length changes are modeled as resulting from voltage-dependent cell surface area changes. The model suggests that the observed harmonic responses in the mechanical response are consistent with the nonlinearity of the voltage-to-length change (V-delta L) function. While these conclusions hold for the data obtained with the present voltage clamp protocol and help to understand the mechanism of OHC motility, modeling the electromechanical system of the OHC in the in vivo state indicates that the mechanical nonlinearity of the OHC contributes minimally to mechanical distortion. That is, in vivo, at moderate sound pressure levels and below, the dominant factor which contributes to nonlinearities of the OHC mechanical response resides within the nonlinear, voltage-generating, stereociliar transduction process.     

Automated real-time measurement of chemotactic cell motility.

We have developed a novel method, (ECIS/taxis), for monitoring cell movement in response to chemotactic and chemokinetic factors. In this system, cells migrate in an under-agarose environment, and their positions are monitored using the electric cell-substrate impedance sensor technology to measure the impedance change at a target electrode, that is lithographed onto the substrate, as the cells arrive at the target. In the studies reported here, Dictyostelium discoideum was used as a prototypical, motile eukaryotic cell. Using the ECIS/taxis system, the arrival of cells at the target electrode was proportional to the dose offolate used to stimulate the cells and could be assessed by changes in resistance at the electrode. ECIS/taxis was readily able to distinguish between wild-type cells and a mutant that is deficient in its chemotactic response. Finally, we have shown that an agent that interferes with chemotactic motility leads to the delayed arrival of cells at the target electrode. The multi-well assay configuration allows for simultaneous automated screening of many samples for chemotactic or anti-chemotactic activity. This assay system is compatible with measurements of mammalian cell movement and should be valuable in the assessment of both agonists and antagonists of cell movement.     

Tumor autocrine motility factor is an angiogenic factor hat stimulates endothelial cell motility.

Autocrine motility factor (AMF) is a type of tumor-secreted cytokine that primarily stimulates tumor cell motility via receptor-mediated signaling pathways and is thought to be connected to tumor progression and metastasis. Using in vivo models, we showed that critical neovascularization responded to a biological amount of AMF. This angiogenic activity was fixed by specific inhibitors against AMF. AMF stimulated in vitro motility of human umbilical vein endothelial cells (HUVECs), inducing the expression of cell surface AMF receptor localizing a single predominant perinuclear pattern closely correlated with its motile ability. AMF also elicited the formation of tube-like structures mimicking angiogenesis when HUVECs were grown in three-dimensional type I collagen gels. We further immunohistochemically detected AMF receptors on the surrounding sites of newborn microvessels. These findings suggest that AMF is a possible tumor progressive angiogenic factor which may act in a paracrine manner for the endothelial cells in the clinical neoplasm, and it will be a new target for anti-angiogenic treatment.     

Tumor autocrine motility factor is an angiogenic factor that stimulates endothelial cell motility.

Autocrine motility factor (AMF) is a type of tumor-secreted cytokine which primarily stimulates tumor cell motility via receptor-mediated signaling pathways, and is thought to be connected to tumor progression and metastasis. Using in vivo models, we showed that critical neovascularization responded to a biological amount of AMF. This angiogenic activity was fixed by specific inhibitors against AMF. AMF stimulated in vitro motility of human umbilical vein endothelial cells (HUVECs), inducing the expression of cell surface AMF receptor localizing a single predominant perinuclear pattern closely correlated with its motile ability. AMF also elicited the formation of tube-like structures mimicking angiogenesis when HUVECs were grown in three-dimensional type I collagen gels. We further immunohistochemically detected AMF receptors on the surrounding sites of newborn microvessels. These findings suggest that AMF is a possible tumor progressive angiogenic factor which may act in a paracrine manner for the endothelial cells in the clinical neoplasm, and it will be a new target for antiangiogenic treatment.     

Kinetic studies of novel di- and tri-propionate substrates for the chicken red blood cell enzyme coproporphyrinogen oxidase

Coproporphyrinogen oxidase is an important enzyme in heme biosynthesis and catalyses the sequential oxidative decarboxylation of propionates on the A and B rings of the porphyrinogen ring. The effects of substituents on the C and D rings have not been systematically evaluated for their effects on the kinetic constants, K(m) and V(max). A series of synthetic porphyrinogens have been tested for their ability to affect these kinetic constants for the chicken enzyme. The enzyme exhibited the largest V(max) when incubated with the authentic substrate and was clearly able to distinguish between various substituents on the C and D rings of the macrocycle. When co-incubated with substrate, the authentic product, protoporphyrinogen-IX, appears to inhibit coproporphyrinogen oxidase and this may have an important role in the regulation of this enzyme. Thus the model for the active site of this enzyme should be modified to take these factors into account.     

Radiation damage to bull sperm motility. III. Further x-ray studies.

The results of previous radiation experiments, which indicated that the centriole serves as a control center for bull sperm motility, appear to be in conflict with experiments showing that the bull sperm flagellum is an autonomous oscillator. To resolve this conflict experiments were conducted to calibrate absolutely the dose-response curves for the radiation damage, and to measure the force production and the mechanochemical energy conversion after irradiation in bull sperm. The results indicate that the centriole acts as a mechanical anchor for the contractile fibers.