Regulating mechanical tension at compartment boundaries in Drosophila

During animal development, cells with similar function and fate often stay together and sort out from cells with different fates. In Drosophila wing imaginal discs, cells of anterior and posterior fates are separated by a straight compartment boundary. Separation of anterior and posterior cells requires the homeodomain-containing protein Engrailed, which is expressed in posterior cells. Engrailed induces the expression of the short-range signaling molecule Hedgehog in posterior cells and confines Hedgehog signal transduction to anterior cells. Transduction of the Hedgehog signal in anterior cells is required for the separation of anterior and posterior cells. Previous work showed that this separation of cells involves a local increase in mechanical tension at cell junctions along the compartment boundary. However, how mechanical tension was locally increased along the compartment boundary remained unknown. A recent paper now shows that the difference in Hedgehog signal transduction between anterior and posterior cells is necessary and sufficient to increase mechanical tension. The local increase in mechanical tension biases junctional rearrangements during cell intercalations to maintain the straight shape of the compartment boundary. These data highlight how developmental signals can generate patterns of mechanical tension important for tissue organization.     

Notch signaling is not sufficient to define the affinity boundary between dorsal and ventral compartments

The developing limbs of Drosophila are subdivided into distinct cells populations known as compartments. Short-range interaction between cells in adjacent compartments induces expression of signaling molecules at the compartment boundaries. In addition to serving as the sources of long-range signals, compartment boundaries prevent mixing of the adjacent cell populations. One model for boundary formation proposes that affinity differences between compartments are defined autonomously as one aspect of compartment-specific cell identity. An alternative is that the affinity boundary depends on signaling between compartments. Here, we present evidence that the dorsal selector gene apterous plays a role in establishing the dorsoventral affinity boundary that is independent of Notch-mediated signaling between dorsal and ventral cells.     

Hedgehog signaling: progenitor phenotype in small-cell lung cancer

Recently, we have shown that small cell lung cancer (SCLC) is dependent on activation of Hedgehog signaling, an embryonic pathway implicated in development, morphogenesis and the regulation of stem cell fates. These findings form the framework for an emerging view of cancer as a process of aberrant organogenesis in which progenitor/ stem cells escape dependence on niche signaling through mutation in genes such as Ptch, or through persistent activation of progenitor cell pathways. Interestingly, the normally quiescent airway epithelial compartment uses the Hh pathway to repopulate itself when challenged by injury. How Hh signaling works to promote the malignant phenotype promises to be as important biologically as the promise of Hh pathway inhibitors are clinically.     

Hedgehog Signaling: Progenitor Phenotype in Small-Cell Lung Cancer

Recently, we have shown that small cell lung cancer (SCLC) is dependent on activation of the Hedgehog signaling, an embryonic pathway implicated in development, morphogenesis and the regulation of stem cell fates. These findings form the framework for an emerging view of cancer as a process of aberrant organogenesis in which progenitor/ stem cells escape dependence on niche signaling through mutation in genes such as Ptch, or through persistent activation of progenitor cell pathways. Interestingly, the normally quiescent airway epithelial compartment uses the Hh pathway to repopulate itself when challenged by injury. How Hh signaling works to promote the malignant phenotype promises to be as important biologically as the promise of Hh pathway inhibitors are clinically.

Key words

Cancer, Hedgehog signaling, Morphogenesis, Stem cells     

Notch-mediated repression of bantam miRNA contributes to boundary formation in the Drosophila wing

Subdivision of proliferating tissues into adjacent compartments that do not mix plays a key role in animal development. The Actin cytoskeleton has recently been shown to mediate cell sorting at compartment boundaries, and reduced cell proliferation in boundary cells has been proposed as a way of stabilizing compartment boundaries. Cell interactions mediated by the receptor Notch have been implicated in the specification of compartment boundaries in vertebrates and in Drosophila, but the molecular effectors remain largely unidentified. Here, we present evidence that Notch mediates boundary formation in the Drosophila wing in part through repression of bantam miRNA. bantam induces cell proliferation and we have identified the Actin regulator Enabled as a new target of bantam. Increased levels of Enabled and reduced proliferation rates contribute to the maintenance of the dorsal-ventral affinity boundary. The activity of Notch also defines, through the homeobox-containing gene cut, a distinct population of boundary cells at the dorsal-ventral (DV) interface that helps to segregate boundary from non-boundary cells and contributes to the maintenance of the DV affinity boundary.     

Computer simulation of compartment maintenance in the Drosophila wing imaginal disc

A new method for modelling cell division is reported which uses a cellular representation based on graph theory. This allows us to model the adjacencies of non-regular dividing cells accurately, avoiding the rigid geometrical constraints present in earlier simulations. We use this system to simulate compartment boundary maintenance in the Drosophila wing imaginal disc. We show that a boundary of minimum length between two growing polyclones of cells could depend on sorting between cells in the different polyclones. We also investigate the response of the model to differential cell division rates within polyclones. This is the first demonstration that cell sorting can generate a smooth boundary in a dividing cell mass. We suggest that biological analogs of our computer sorting rules are responsible for the similar straight polyclone borders seen in the real wing disc. A possible strategy for showing the existence of these analogs is also given.     

Vein-positioning in the Drosophila wing in response to Hh; new roles of Notch signaling

The Drosophila wing is a classical model for studying the generation of developmental patterns. Previous studies have suggested that vein primordia form at boundaries between discrete sectors of gene expression along the antero-posterior (A/P) axis in the larval wing imaginal disc. Observation that the vein marker rhomboid (rho) is expressed at the centre of wider vein-competent domains led to propose that narrow vein primordia form first, and produce secondary short-range signals activating provein genes in neighbouring cells (see Curr. Opin. Genet. Dev. 10 (2000) 393). Here, we examined how the central L3 and L4 veins are positioned relative to the limits of expression of Collier (Col), a dose-dependent Hedgehog (Hh) target activated in the wing A/P organiser. We found that rho expression is first activated in broad domains adjacent to Col-expressing cells and secondarily restricted to the centre of these domains. This restriction which depends upon Notch (N) signaling sets the L3 and L4 vein primordia off the boundaries of Col expression. N activity is also required to fix the anterior limit of Col expression by locally antagonising Hh activation, thus precisely positioning the L3 vein primordium relative to the A/P compartment boundary. Experiments using Nts mutants further indicated that these two activities of N could be temporally uncoupled. Together, these observations highlight new roles of N in topologically linking the position of veins to prepattern gene expression.     

Membrane potential regulates Hedgehog signalling in the Drosophila wing imaginal disc

While the membrane potential of cells has been shown to be patterned in some tissues, specific roles for membrane potential in regulating signalling pathways that function during development are still being established. In the Drosophila wing imaginal disc, Hedgehog (Hh) from posterior cells activates a signalling pathway in anterior cells near the boundary which is necessary for boundary maintenance. Here, we show that membrane potential is patterned in the wing disc. Anterior cells near the boundary, where Hh signalling is most active, are more depolarized than posterior cells across the boundary. Elevated expression of the ENaC channel Ripped Pocket (Rpk), observed in these anterior cells, requires Hh. Antagonizing Rpk reduces depolarization and Hh signal transduction. Using genetic and optogenetic manipulations, in both the wing disc and the salivary gland, we show that membrane depolarization promotes membrane localization of Smoothened and augments Hh signalling, independently of Patched. Thus, membrane depolarization and Hh‐dependent signalling mutually reinforce each other in cells immediately anterior to the compartment boundary.     

Compartment boundaries: Sorting cells with tension

The subdivision of proliferating tissues into groups of non-intermingling sets of cells, termed compartments, is a common process of animal development. Signaling between adjacent compartments induces the local expression of morphogens that pattern the surrounding tissue. Sharp and straight boundaries between compartments stabilize the source of such morphogens during tissue growth and, thus, are of crucial importance for pattern formation. Signaling pathways required to maintain compartment boundaries have been identified, yet the physical mechanisms that maintain compartment boundaries remained elusive. Recent data now show that a local increase in actomyosin-based mechanical tension on cell bonds is vital for maintaining compartment boundaries in Drosophila.Key words: Drosophila, wing imaginal disc, compartment boundary, cell sorting, mechanical tensionCompartments were first identified in the wings and abdomen of insects by clonal analysis.^1,2 When single cells were genetically marked during early development, the descendant cells (‘clone’) grew up in the adult structure to a boundary line (the compartment boundary), and frequently ran along it, but never extended to the other side. These experiments revealed that, in Drosophila, the developing wing is subdivided during embryogenesis into anterior (A) and posterior (P) compartments (Fig. 1A) and later, during larval development, into dorsal (D) and ventral (V) compartments. Compartments were subsequently identified in different parts of the fly, including the leg, haltere, head and abdomen.^3–7 More recently, lineage tracing also revealed compartments in vertebrate embryos,^8–16 indicating that the formation of compartments is a common strategy during both insect and vertebrate development.Open in a separate windowFigure 1Increased cell bond tension at compartment boundaries in Drosophila. (A) The Drosophila wing imaginal disc is subdivided into anterior (A) and posterior (P) compartments. (B) Myosin II and F-actin (green lines) are enriched at the cell bonds between anterior cells and posterior cells compared to cell bonds elsewhere in the tissue. Mechanical tension (arrows) on cell bonds along the A/P boundary is increased. (C) Measurement of cell bond tension by laser ablation. Arrowheads depict the site of ablation. The two vertices at the ends of the ablated cell bond are displaced. (D and E) Sequential images of an E-cadherin-GFP-labelled cell bond within the anterior compartment (D) or at the A/P boundary (E) before and after laser ablation in wing imaginal discs. (F) Each parasegment of the Drosophila embryo is subdivided into anterior and posterior compartments. (G) Chromophore-assisted laser inactivation (CALI) to locally reduce Myosin II (green lines) in cells along the parasegment boundary (boxed area). As a consequence, dividing cells at the parasegment boundary intermingle.Meinhardt''s theoretical work on pattern formation proposed that boundaries between compartments act as reference lines for positional information during tissue development, and that they serve as sources of morphogen synthesis.^17,18 Indeed, many compartment boundaries, both in insects and vertebrates, have by now been shown experimentally to be associated with signaling centers that produce morphogens (reviewed in refs. ¹⁹ and ²⁰). The defined position and shape of signaling centers is important for the establishment of precise morphogen gradients and patterning.^21,22 In growing tissues, however, the position and shape of signaling centers is challenged by cell rearrangements that take place during cell division.^23,24 By inducing signaling centers along stable and straight compartment boundaries, precise morphogen gradients can be maintained in proliferating tissues.²⁵ Compartment boundaries therefore play vital roles during the patterning of proliferating tissues.How are straight and sharp compartment boundaries maintained despite cell re-arrangements caused by cell division? The maintenance of compartment boundaries often requires local signaling between cells from the two adjacent compartments. In the developing hindbrain, for example, signaling by Eph receptors and ephrins is required to maintain the boundaries between adjacent rhombomeres.^26,27 In the developing wing of the fly, signaling downstream of Hedgehog and Dpp is required to maintain the A/P boundary,^28–31 and Notch signaling is required to maintain the D/V boundary.^32,33 The physical mechanisms maintaining compartment boundaries, however, remained elusive for a long time. Two recent papers, by Landsberg et al. and Monier et al. now provide evidence that actomyosin-dependent tension on cell bonds is an important mechanism to maintain straight and sharp compartment boundaries.^34,35A longstanding hypothesis posed that the sorting of cells at compartment boundaries is due to differences in the affinities between cells of adjacent compartments.³⁶ Earlier theoretical work by Malcom Steinberg had indeed proposed that differences in the adhesiveness of cells lead to cell sorting.³⁷ Steinberg''s hypothesis was based on the important insight that cell sorting closely resembles the separation of immiscible liquids and that quantitative differences in cell properties suffice to explain cell sorting. Cadherins are a class of Ca²⁺-dependent cell adhesion molecules that can confer differential cell adhesion in vitro and in vivo.^38–40 Circumstantial evidence indicates that cadherins may play a role in maintaining compartment boundaries. In the telencephalon of mouse embryos, for example, the interface between cells expressing R-cadherin and cells expressing cadherin-6 coincide with the cortico-striatal compartment boundary.¹¹ Interestingly, cortical cells ectopically expressing cadherin-6 sort into the striatal compartment, and the reverse is observed for striatal cells engineered to express R-cadherin. In addition to cadherins, further cell adhesion proteins have been implicated in maintaining compartment boundaries. In the Drosophila wing imaginal disc, an epithelium that gives rise to the adult wing, the two leucine-rich-repeat domain proteins Capricious and Tartan are expressed specifically in cells of the dorsal compartment.⁴¹ Strikingly, forced expression of either of these proteins in the dorsal compartment can restore a normal straight and sharp D/V boundary in mutants for apterous, the selector gene required to establish this boundary.⁴¹More recent hypotheses to explain the sorting of cells in animal development are based on differential surface contraction⁴² or differential interfacial tension.⁴³ These hypotheses do not treat cells as liquid molecules, as Steinberg''s differential adhesion hypothesis does, but emphasize that cells can generate mechanical tension that allows them to contract the surface to neighboring cells. Minimizing cell surfaces at interfaces between different cell populations could contribute to cell sorting.Mechanical tension in cells can be generated by tensile elements located at the cellular cortex underlying the plasma membrane, including contractile actomyosin filaments (reviewed in ref. ⁴⁴). Irvine and colleagues made the important observation that, in Drosophila wing imaginal discs, Filamentous (F)-actin and the motor protein non-muscle Myosin II (Myosin II) were enriched at adherens junctions along the D/V boundary,^45,46 indicating a distinct mechanical property of bonds between cells along this compartment boundary. Moreover, these authors found that in mutants for zipper, which encodes myosin heavy chain, the D/V boundary was irregular,⁴⁶ showing a requirement for Myosin II in maintaining this boundary.Landsberg et al. show that F-actin and Myosin II were also enriched on cell bonds along the A/P boundary in Drosophila wing imaginal discs, and that also the A/P boundary was irregular in zipper mutants.³⁴ Moreover, they now provide direct evidence that mechanical tension at cell bonds along the A/P boundary is increased (Fig. 1B). Differences in mechanical tension on cell bonds have been proposed to result in differences in the shape of cells and the angles between bonds of cells.^24,47 Landsberg et al. demonstrate that the two rows of cells along the A/P boundary display a unique shape and that angles between cell bonds along the A/P boundary are widened, providing evidence that mechanical tension is elevated along these cell bonds.³⁴ Distinct shapes have also been previously reported for cells along compartment boundaries in Oncopeltus,⁴⁸ indicating that they are commonly associated with compartment boundaries.Ablation of cell bonds generates displacements of the corners (vertices) of the ablated bonds, providing direct evidence for tension on cell bonds.⁴⁹ Landsberg et al. ablated individual cell bonds in wing imaginal discs using an UV laser beam, and quantified the displacements of the two vertices of the ablated cell bonds (Fig. 1C–E). The relative initial velocities with which these vertices are separated in response to laser ablation is a relative measure of cell bond tension.⁵⁰ Ablation of cell bonds within the anterior compartment and the posterior compartment resulted in similar initial velocities.³⁴ However, when cell bonds along the A/P boundary were ablated, the initial velocity of vertex separation was approximately 2.5-fold higher.³⁴ Displacements of cell vertices after laser ablation were strongly reduced in the presence of Y-27632, a drug that specifically inhibits Rho-kinase,⁵¹ which is a major activator of Myosin II.⁵² These results suggest that actomyosin-based cell bond tension along the A/P boundary is increased 2.5-fold compared to the tension on cell bonds located elsewhere.Is a local increase in cell bond tension sufficient to maintain straight interfaces between proliferating groups of cells? To test this, Landsberg et al. simulated the growth of a tissue based on a vertex model.²⁴ In this model, the network of adherens junctions in a tissue is described by polygons characterized by the position of vertices. Stable configurations of this network are local minima of an energy function that describes the area elasticity of cells, cell bond tension, and the elasticity of cell perimeters. In these simulations, two adjacent cell populations, anterior and posterior compartments, separated by a straight and sharp interface, are introduced into this network. Tissue growth is simulated by randomly selecting a cell, increasing its area two-fold, and dividing the cell at a random angle. The energy in the whole network is then minimized and the procedure is repeated. Simulation of tissue growth renders the initially straight and sharp interface between the two compartments rough and irregular.³⁴ However, by increasing locally cell bond tension at the interface between the two simulated compartments, the interface remains straight.³⁴ These computer simulations provide evidence that a local increase in cell bond tension is sufficient to maintain straight boundaries between compartments in proliferating tissues.Monier et al. analyzed boundaries in the Drosophila embryo.³⁵ The embryonic epidermis is subdivided into parasegments, and cells from adjacent parasegments do not intermingle⁵³ (Fig. 1F). Similar to the D/V and A/P boundaries of larval wing imaginal discs, the authors found that the parasegment boundaries also display elevated levels of F-actin and Myosin II.³⁵ Injection of the Rho-kinase inhibitor Y-27632 into embryos, or expression of a dominant-negative form of zipper, resulted in cell sorting defects at the parasegment boundaries. Live imaging of embryos furthermore showed that mitotic cells locally deform the parasegment boundaries, but that the boundaries straighten out at the onset of cytokinesis. When Myosin II activity was locally reduced by chromophore-assisted laser inactivation (CALI), the parasegment boundaries failed to straighten out after cells had divided, and anterior and posterior cells partially intermingled³⁵ (Fig. 1G). These results demonstrate an important role for Myosin II in separating anterior and posterior cells at parasegment boundaries.Cell sorting is a general phenomenon of developing animals not restricted to compartment boundaries. A well-studied example is the sorting out of cells from the different germ layers during gastrulation. Interestingly, during zebrafish gastrulation, differential actomyosin-dependent cell-cortex tension has recently been implicated in the sorting out of cells from different germ layers.⁵⁴ A differential mechanical tension might, therefore, be a general mechanism to prevent the mixing of cells in developing animals.Does differential cell adhesion play a role in regulating mechanical tension? At least two contributions can be envisioned. First, cell bond tension depends on both contractile forces along cell bonds as well as the strength of adhesion between neighboring cells.^24,43 Elevating contractile forces can increase cell bond tension, whereas increasing adhesive contacts between cells can release tension. Differences in the adhesion between neighboring cells along compartment boundaries, compared to the remaining cells within the compartments, could therefore contribute to the maintenance of compartment boundaries. Second, differential expression of some cell adhesion molecules results in a local increase of F-actin and Myosin II. For example, interfaces between cells expressing the cell adhesion molecule Echinoid and cells lacking Echinoid display elevated levels of F-actin and Myosin II in Drosophila wing imaginal discs.⁵⁵ Therefore, it seems plausible that, at least in some cases, the increase of F-actin and Myosin II at compartment boundaries could be the consequence of the differential expression of adhesion molecules. In this model, differential cell adhesion would play an indirect role in maintaining compartment boundaries by resulting in local enrichment of F-actin and Myosin II, which in turn could lead to an elevated mechanical tension.The local enrichment of F-actin and Myosin II at distinct sites within cells, and a presumed modulation of tensile stresses, is not restricted to compartment boundaries, but appears to be common to diverse developmental processes. In gastrulating Drosophila embryos, for example, tissue elongation is driven by cell intercalation that depends on the enrichment of Myosin II on shrinking cell bonds.^56,57 Similarly, during mesoderm invagination of Drosophila embryos, F-actin and Myosin II accumulate in a central weblike structure at the apical side of cells resulting in apical cell constriction.⁵⁸ Recruitment of F-actin and Myosin II to this medial web can be induced by expression of an activated form of Wasp, a known regulator of actin polymerization, providing a mechanism for the local enrichment of actomyosin within cells.⁵⁹ In addition to biochemical mechanisms, mechanical signals have also been shown to help localize Myosin II to specific sites within cells. During germband elongation in the Drosophila embryo, for example, cell bonds that are under high tension have elevated levels of Myosin II, and the experimental application of mechanical force is sufficient to recruit Myosin II to the cell cortex.⁶⁰ Increased tension at cell bonds along compartment boundaries might, therefore, be also a consequence of both biochemical and mechanical mechanisms. It will be interesting to investigate the nature of these mechanisms, and how they are linked to the developmental signals that control the formation of compartment boundaries.     

The mechanical basis of cell rearrangement. I. Epithelial morphogenesis during Fundulus epiboly

Many morphogenetic processes are accomplished by coordinated cell rearrangements. These rearrangements are accompanied by substantial shifts in the neighbor relationships between cells. Here we propose a model for studying morphogenesis in epithelial sheets by directed cell neighbor change. Our model describes cell rearrangements by accounting for the balance of forces between neighboring cells within an epithelium. Cell rearrangement and cell shape changes occur when these forces are not in mechanical equilibrium. We will show that cell rearrangement within the epidermal enveloping layer (EVL) of the teleost fish Fundulus during epiboly can be explained solely in terms of the balance of forces generated among constituent epithelial cells. Within a cell, we account for circumferential elastic forces and the force generated by hydrostatic and osmotic pressure. The model treats epithelial cells as two-dimensional polygons where the mechanical forces are applied to the polygonal nodes. A cell node protrudes or contracts when the nodal forces are not in mechanical equilibrium. In an epithelial sheet, adjacent cells share common boundary nodes; in this way, mechanical force is transmitted from cell to cell, mimicking junctional coupling. These junctional nodes can slide, and nodes may appear or disappear, so that the number of polygonal sides is variable. Computer graphics allows us to compare numerical simulations of the model with time-lapse cinemicroscopy of cell rearrangements in the living embryo, and data obtained from fixed and silver stained embryos. By manipulating the mechanical properties of the model cells we can study the conditions necessary to reproduce normal cell behavior during Fundulus epiboly. We find that simple stress relaxation is sufficient to account for cell rearrangements among interior cells of the EVL when they are isotropically contractile. Experimental observations show that the number of EVL marginal cells continuously decreases throughout epiboly. In order for the simulation to reproduce this behavior, cells at the EVL boundary must generate protrusive forces rather than contractile tension forces. Therefore, the simulation results suggest that the mechanical properties of EVL marginal cells at their leading edge must be quite different from EVL interior cells.     

Inhibition of the hedgehog pathway targets the tumor-associated stroma in pancreatic cancer

Purpose: The Hedgehog (Hh) pathway has emerged as an important pathway in multiple tumor types and is thought to be dependent on a paracrine signaling mechanism. The purpose of this study was to determine the role of pancreatic cancer-associated fibroblasts (human pancreatic stellate cells, HPSCs) in Hh signaling. In addition, we evaluated the efficacy of a novel Hh antagonist, AZD8542, on tumor progression with an emphasis on the role of the stroma compartment. Experimental Design: Expression of Hh pathway members and activation of the Hh pathway were analyzed in both HPSCs and pancreatic cancer cells. We tested the effects of Smoothened (SMO) inhibition with AZD8542 on tumor growth in vivo using an orthotopic model of pancreatic cancer containing varying amounts of stroma. Results: HPSCs expressed high levels of SMO receptor and low levels of Hh ligands, whereas cancer cells showed the converse expression pattern. HPSC proliferation was stimulated by Sonic Hedgehog with upregulation of downstream GLI1 mRNA. These effects were abrogated by AZD8542 treatment. In an orthotopic model of pancreatic cancer, AZD8542 inhibited tumor growth only when HPSCs were present, implicating a paracrine signaling mechanism dependent on stroma. Further evidence of paracrine signaling of the Hh pathway in prostate and colon cancer models is provided, demonstrating the broader applicability of our findings. Conclusion: Based on the use of our novel human-derived pancreatic cancer stellate cells, our results suggest that Hh-targeted therapies primarily affect the tumor-associated stroma, rather than the epithelial compartment. Mol Cancer Res; 10(9); 1147-57. ?2012 AACR.     

Mapping mechanical strain of an endogenous cytoskeletal network in living endothelial cells

A central aspect of cellular mechanochemical signaling is a change of cytoskeletal tension upon the imposition of exogenous forces. Here we report measurements of the spatiotemporal distribution of mechanical strain in the intermediate filament cytoskeleton of endothelial cells computed from the relative displacement of endogenous green fluorescent protein (GFP)-vimentin before and after onset of shear stress. Quantitative image analysis permitted computation of the principal values and orientations of Lagrangian strain from 3-D high-resolution fluorescence intensity distributions that described intermediate filament positions. Spatially localized peaks in intermediate filament strain were repositioned after onset of shear stress. The orientation of principal strain indicated that mechanical stretching was induced across cell boundaries. This novel approach for intracellular strain mapping using an endogenous reporter demonstrates force transfer from the lumenal surface throughout the cell.     

Mechanical Response of Single Plant Cells to Cell Poking： A Numerical Simulation Model

Cell poking is an experimental technique that is widely used to study the mechanical properties of plant cells. A full understanding of the mechanical responses of plant cells to poking force Is helpful for experimental work. The aim of this study was to numerically investigate the stress distribution of the cell wall, cell turgor, and deformation of plant cells in response to applied poking force. Furthermore, the locations damaged during poking were analyzed. The model simulates cell poking, with the cell treated as a spherical, homogeneous, isotropic elastic membrane, filled with incompressible, highly viscous liquid. Equilibrium equations for the contact region and the non-contact regions were determined by using membrane theory. The boundary conditions and continuity conditions for the solution of the problem were found. The forcedeformation curve, turgor pressure and tension of the cell wall under cell poking conditions were obtained. The tension of the cell wall circumference was larger than that of the meridian. In general, maximal stress occurred at the equator around. When cell deformation increased to a certain level, the tension at the poker tip exceeded that of the equator. Breakage of the cell wall may start from the equator or the poker tip, depending on the deformation. A nonlinear model is suitable for estimating turgor, stress, and stiffness, and numerical simulation is a powerful method for determining plant cell mechanical properties.     

Forcing a connection: impacts of single-molecule force spectroscopy on in vivo tension sensing

Mechanical tension plays a large role in cell development ranging from morphology to gene expression. On the molecular level, the effects of tension can be seen in the dynamic arrangement of membrane proteins as well as the recruitment and activation of intracellular proteins. Forces applied to biopolymers during in vitro force measurements offer greater understanding of the effects of tension on molecules in live cells, and experimental techniques involving test tubes and live cells can often overlap. Indeed, when forces exerted on cellular components can be calibrated ex vivo with force spectroscopy, a powerful tool is available for researchers in probing cellular mechanotransduction on the molecular scale. This review will discuss the techniques used in measuring both cellular traction forces and single-molecule force spectroscopy. Emphasis will be placed on the use of fluorescence reporter systems for the development of in vivo tension sensors that can be used for calibration with single molecule force methods.     

A Prestressed Cable Network Model of the Adherent Cell Cytoskeleton

A prestressed cable network is used to model the deformability of the adherent cell actin cytoskeleton. The overall and microstructural model geometries and cable mechanical properties were assigned values based on observations from living cells and mechanical measurements on isolated actin filaments, respectively. The models were deformed to mimic cell poking (CP), magnetic twisting cytometry (MTC) and magnetic bead microrheometry (MBM) measurements on living adherent cells. The models qualitatively and quantitatively captured the fibroblast cell response to the deformation imposed by CP while exhibiting only some qualitative features of the cell response to MTC and MBM. The model for CP revealed that the tensed peripheral actin filaments provide the key resistance to indentation. The actin filament tension that provides mechanical integrity to the network was estimated at ~158 pN, and the nonlinear mechanical response during CP originates from filament kinematics. The MTC and MBM simulations revealed that the model is incomplete, however, these simulations show cable tension as a key determinant of the model response.