Segregation into separate rouleaux of erythrocytes from different species. Evidence against the agglomerin hypothesis of rouleaux formation.

Erythrocytes from one species were labelled with fluorescein isothiocyanate and mixed with unlabelled erythrocytes from another species. Albumin polymers were added to generate rouleaux. The species of origin of erythrocytes in rouleaux was determined by fluorescence microscopy. Erythrocytes from different species segregated into independent rouleaux. However, fluorescent and non-fluorescent erythrocytes from one individual were mixed randomly in rouleaux. These results confirm, using a novel experimental approach, previous observations of Sewchand & Canham [(1976) Can. J. Physiol. Pharmacol. 54, 437-442]. Since rouleaugenic agents are not species-specific, under the 'agglomerin' hypothesis of rouleau formation they would be expected to form bridges between cells from different species. It follows that either the agglomerin hypothesis is incorrect, or additional species-specific surface components are involved in the aggregation of agglomerin-cross-bridged cells.     

Transition from rolling to firm adhesion can be mimicked by extension of integrin alphaLbeta2 in an intermediate affinity state

AlphaLbeta2 affinity for intercellular adhesion molecule-1 (ICAM-1) is regulated by the conformation of the alphaL I domain, which is in turn controlled by the conformation and orientation of other adjacent domains. Additionally, overall integrin conformation (bent versus straightened) influences the orientation of the I domain and access to its ligands, influencing adhesive efficiency. The open or high affinity I domain conformation supports strong adhesion, whereas the closed, low affinity conformation mediates weak interactions or rolling. We have previously suggested that alphaLbeta2 can also exist on the cell surface in an intermediate affinity state. Here we have studied the adhesive properties of integrin alphaLbeta2 containing mutant I domains with intermediate affinities for ICAM-1. In an overall bent conformation, the intermediate affinity state of alphaLbeta2 is hardly detected by conventional adhesion assays, but robust adhesion is seen when an extended conformation is induced by a small molecule alpha/beta I allosteric antagonist. Intermediate affinity alphaLbeta2 supports more stable rolling than wild-type alphaLbeta2 under shear conditions. Moreover, antagonist-induced extension transforms rolling adhesion into firm adhesion in a manner reminiscent of chemokine activation of integrin alphaLbeta2. These findings suggest the relevance of intermediate affinity states of alphaLbeta2 to the transition between inactive and active states and demonstrate the importance of both I domain affinity and overall integrin conformation for cell adhesion.     

Antigen modulation of antibody forming cells: the relationship between direct plaque size, antibody secretion rate and antibody affinity.

Using the mathematical theory of direct plaque growth, we have analyzed the expected variation of plaque size with IgM affinity and secretion rate. We use the theory to comment on recent effector cell blockage experiments and show how the theory can be used to determine the change in the secretion rate of a single antibody-forming cell subjected to blockage by a multivalent antigen. We also argue, using the mathematical theory, that under the usual experimental conditions employed in the plaque assay, cells that produce low affinity IgM antibodies will give rise to smaller plaques than cells that produce high affinity IgM antibodies.     

Simulation of detachment of specifically bound particles from surfaces by shear flow.

The receptor-mediated adhesion of cells to ligand-coated surfaces is important in many physiological and biotechnological processes. Previously, we measured the detachment of antibody-coated spheres from counter-antibody- and protein A-coated substrates using a radial-flow detachment assay and were able to relate mechanical adhesion strength to chemical binding affinity (Kuo and Lauffenburger, Biophys. J. 65:2191-2200 (1993)). In this paper, we use "adhesive dynamics" to simulate the detachment of antibody-coated hard spheres from a ligand-coated substrate. We modeled the antibody-ligand (either counter-antibody or protein A) bonds as adhesive springs. In the simulation as in the experiments, beads attach to the substrate under static conditions. Flow is then initiated, and detachment is measured by the significant displacement of previously bound particles. The model can simulate the effects of many parameters on cell detachment, including hydrodynamic stresses, receptor number, ligand density, reaction rates between receptor and ligand, and stiffness and reactive compliance of the adhesive springs. The simulations are compared with experimental detachment data, thus relating measured bead adhesion strength to molecular properties of the adhesion molecules. The simulations accurately recreated the logarithmic dependence of adhesion strength on affinity of receptor-ligand recognition, which was seen in experiments and predicted by analytic theory. In addition, we find the value of the reactive compliance, the parameter which relates the strain of a bond to its rate of breakage, that gives the best match between theory and experiment to be 0.01. Finally, we analyzed the effect of varying either the forward or reverse rate constants as different ways to achieve the same affinity, and showed that adhesion strength depends uniquely on the equilibrium affinity, not on the kinetics of binding. Given that attachment is independent of affinity, detachment and attachment are distinct adhesive phenomena.     

Rheology of Human Blood, near and at Zero Flow: Effects of Temperature and Hematocrit Level

Static normal human blood possesses a distinctive yield stress. When the yield stress is exceeded, the same blood has a stress-shear rate function under creeping flow conditions closely following Casson's model, which implies reversible aggregation of red cells in rouleaux and flow dominated by movement of rouleaux. The yield stress is essentially independent of temperature and its cube root varies linearly with hematocrit value. The dynamic rheological properties in the creeping flow range are such that the relative viscosity of blood to water is almost independent of temperature. Questions raised by these data are discussed, including red cell aggregation promoted by elements in the plasma.     

Rouleaux formation as a measure of the phase separating ability of plasma

The increased erythrocyte sedimentation rate (ESR) occurring in various diseases reflects a change in certain plasma proteins which causes erythrocytes to aggregate into rapidly sedimenting “piles of coins”, or rouleaux. In spite of some 300 years of study, the mechanism of the phenomenon and the adaptive significance, if any, of the change in properties of plasma, remain elusive. One hypothesis on the mechanism is that rouleaugenic agents in plasma act as multivalent “agglomerins”, which react with the erythrocyte surface and cross-link cells. Alternatively, a “phase separation” hypothesis can be derived by analogy with the phase separation of high molecular weight polymers from polymer mixtures at high polymer concentrations. Considering the cell surface to resemble that of a large polymer, it is postulated that there should be a separation of a cell phase from a solution phase in the presence of high concentrations of a high molecular weight polymer. In keeping with the available data, both hypotheses predict that rouleaux formation should increase with increasing polymer size. In addition, the phase separation hypothesis predicts (i) no need for reaction of a rouleaugenic agent with the erythrocyte surface, and (ii) that cells from different species, when mixed in the presence of a rouleaugenic agent, will form independent rouleaux. Current evidence is consistent with both predictions. We suggest that an increased ESR reflects a change in the physical properties of plasma such that particulate material (e.g. viruses, tumour cells), will tend to spontaneously aggregate in regions of stagnant blood flow (such as the sinusoids of the spleen). This change in the physical properties of plasma, tending to favour phase separations, will also favour antigen-antibody and other intermolecular reactions.     

The size and scar distributions of the yeast Saccharomyces cerevisiae

A model for the growth of populations of Saccharomyces cerevisiae is formulated and analysed. The probability of bud emergence is assumed to depend on the size of the cell. Under certain conditions on birth size the model can be reduced to a single renewal equation. Using Laplace transform techniques and renewal theory we establish the existence of a stable scar and size distribution under certain conditions on the growth rate of individual cells. The steady state values for the relative frequencies of unbudded and budded cells in the various scar classes are given.     

Kinetics of rouleau formation. II. Reversible reactions.

Red blood cells aggregate face-to-face to form long, cylindrical, straight chains and sometimes branched structures called rouleaux. Here we extend a kinetic model developed by R. W. Samsel and A. S. Perelson (1982, Biophys. J. 37:493-514) to include both the formation and dissociation of rouleaux. We examine thermodynamic constraints on the rate constants of the model imposed by the principle of detailed balance. Incorporation of reverse reactions allows us to compute mean sizes of rouleaux and straight chain segments within rouleaux, as functions of time and at equilibrium. Using the Flory - Stockmayer method from polymer chemistry, we obtain a closed-form solution for the size distribution of straight chain segments within rouleaux at any point in the evolution of the reaction. The predictions of our theory compare favorably with data collected by D. Kernick , A.W.L. Jay , S. Rowlands , and L. Skibo (1973, Can. J. Physiol. Pharmacol. 51:690-699) on the kinetics of rouleau formation. When rouleaux grow large, they may contain rings or loops and take on the appearance of a network. We demonstrate the importance of including the kinetics of ring closure in the development of realistic models of rouleaux formation.     

Rolling adhesion of alphaL I domain mutants decorrelated from binding affinity

Activated lymphocyte function-associated antigen-1 (LFA-1, alphaLbeta2 integrin) found on leukocytes facilitates firm adhesion to endothelial cell layers by binding to intercellular adhesion molecule-1 (ICAM-1), which is up-regulated on endothelial cells at sites of inflammation. Recent work has shown that LFA-1 in a pre-activation, low-affinity state may also be involved in the initial tethering and rolling phase of the adhesion cascade. The inserted (I) domain of LFA-1 contains the ligand-binding epitope of the molecule, and a conformational change in this region during activation increases ligand affinity. We have displayed wild-type I domain on the surface of yeast and validated expression using I domain specific antibodies and flow cytometry. Surface display of I domain supports yeast rolling on ICAM-1-coated surfaces under shear flow. Expression of a locked open, high-affinity I domain mutant supports firm adhesion of yeast, while yeast displaying intermediate-affinity I domain mutants exhibit a range of rolling phenotypes. We find that rolling behavior for these mutants fails to correlate with ligand binding affinity. These results indicate that unstressed binding affinity is not the only molecular property that determines adhesive behavior under shear flow.     

Interaction of PC-3 cells with fibronectin adsorbed on sulfonated polystyrene surfaces

The ability of cancer cells to invade neighboring tissues is crucial for cell dissemination and tumor metastasis. It is generally assumed that cell adhesion to extracellular matrix proteins is an important stage of cancer progression. Hence, adhesion of cancer cells under in vitro conditions to proteins adsorbed on a substratum surface has been studied to provide a better understanding of cell-protein interaction mechanisms. A protein, adsorbed in an appropriate conformation on a substratum surface, creates a biologically active layer that regulates such cell functions as adhesion, spreading, proliferation and migration. In our study, we examined the interaction of PC-3 cells under in vitro conditions with fibronectin adsorbed on sulfonated polystyrene surfaces of a defined chemical composition and topography. We investigated cell adhesion to fibronectin and cell spreading. Using automatic, sequential microscopic image registration, we are the first to present observations of the dynamics of PC-3 cell spreading and the cell shape during this process. Our results show that cell adhesion and the shape of spreading cells strongly depend on the time interaction with fibronectin. The analysis of images of cytoskeletal protein distribution in the cell region near the cell-substratum interface revealed that induction of a signal cascade took place, which led to the reorganization of the cytoskeletal proteins and the activation of focal adhesion kinase (FAK).     

Relationship between molecular and cellular dissociation rates for VLA-4/VCAM-1 interaction in the absence of shear stress

The rate of leukocyte recruitment to and detachment from the vasculature contributes to cellular tethering, rolling, firm adherence, and migration across an endothelium layer. The molecular rates depend on the type and number of bound integrin or selectin adhesion molecules, shear force acting on the bound adhesion molecules, and affinity state of integrins. Although little is known of the effect that the number of adhesion molecules has on leukocyte recruitment, it has been shown that firm adhesion for cells in suspension may be mediated by small numbers of bound adhesion molecules. We studied the disaggregation of aggregates composed of B78H1 cells transfected with human vascular cell adhesion molecule-1 (VCAM-1) and human monoblastoid U937 cells expressing Very Late Antigen-4 (VLA-4). Aggregate disaggregation rates were obtained and compared to dissociation rates for soluble rhVCAM-1 ligand and monoblastoid U937 cells. Under conditions without shear stress, it was found that average cellular disaggregation rates were a factor of 1.3 +/- 0.4 times slower than molecular dissociation rates for the 1 mM Mn(2+) and 1 mM Mn(2+) + 1 mM Ca(2+) conditions. A simple mathematical model was used to predict how much smaller the dissociation constant would be if the number of bonds holding an aggregate varied from one bond to N bonds under conditions without shear stress. The average number of adhesion bonds holding the cell aggregates together was found to be 1.5 +/- 0.7. This suggests that a few bonds were needed to form cellular aggregates and that increased aggregation was related to integrin affinity changes and not due to clustering or increased bond numbers.     

A dynamical model for receptor-mediated cell adhesion to surfaces in viscous shear flow

We present a dynamical model for receptor-mediated cell adhesion to surfaces in viscous shear flow when the surfaces are coated with ligand molecules complementary to receptors in the cell membrane. This model considers the contact area between the cell and the surface to be a small, homogeneous region that mediates the initial attachment of the cell to the surface. Using a phase plane analysis for a system of nonlinear ordinary differential equations that govern the changes in free receptor density and bond density within the contact area with time, we can predict the conditions for which adhesion between the cell and the surface will take place. Whether adhesion occurs depends on values of dimensionless quantities that characterize the interaction of the cell and its receptors with the surface and its ligand, such as the bond formation rate, the receptor-ligand affinity, the fluid mechanical force, the receptor mobility, and the contact area. A key result is that there are two regimes in which different chemical and physical forces dominate: a rate-controlled high affinity regime and an affinity-controlled low affinity regime. Many experimental observations, including the effects of temperature and receptor mobility on adhesiveness, can be explained by understanding which of these regimes is appropriate. We also provide simple approximate analytical solutions, relating adhesiveness to cell and surface properties as well as fluid forces, which allow convenient testing of model predictions by experiment.     

High-molecular-weight serum protein complexes differentially promote cell migration and the focal adhesion localization of the urokinase receptor in human glioma cells

The distribution of the urokinase-type plasminogen activator receptor (uPAR) on human glioma cells was examined as a function of culture conditions, using immunofluorescence and immunophotoelectron microscopy. Both uPAR colocalization with focal adhesion proteins and glioma cell motility were maximal in medium containing whole serum or a serum fraction retained by a 500,000 mol wt cutoff centrifugal concentration filter. High motility also took place in medium containing a serum fraction passed by the 500,000 cutoff filter but retained by a 100,000 cutoff filter and in minimal medium containing added vitronectin; however, under these conditions only a small percentage of the otherwise abundant focal adhesions contained colocalized uPAR. Glioma cells in minimal medium with added laminin migrated with a highly elongated morphology but without either classical focal adhesions or well-defined uPAR labeling. In contrast, glioma cells in minimal medium with no additions did not migrate, nor did they adhere well or display defined labeling patterns for focal adhesion proteins or uPAR. The results indicate that high-molecular-weight serum protein complexes promote both uPAR-focal adhesion colocalization and cell migration in glioma cells. However, conditions can be selected in which migration takes place with minimal uPAR-focal adhesion localization, as well as in the absence of apparent focal adhesions.     

Intrinsic microtubule stability in interphase cells

Interphase microtubule arrays are dynamic in intact cells under normal conditions and for this reason they are currently assumed to be composed of polymers that are intrinsically labile, with dynamics that correspond to the behavior of microtubules assembled in vitro from purified tubulin preparations. Here, we propose that this apparent lability is due to the activity of regulatory effectors that modify otherwise stable polymers in the living cell. We demonstrate that there is an intrinsic stability in the microtubule network in a variety of fibroblast and epithelial cells. In the absence of regulatory factors, fibroblast cell interphase microtubules are for the most part resistant to cold temperature exposure, to dilution-induced disassembly and to nocodazole-induced disassembly. In epithelial cells, microtubules are cold-labile, but otherwise similar in behavior to polymers observed in fibroblast cells. Factors that regulate stability of microtubules appear to include Ca2+ and the p34cdc2 protein kinase. Indeed, this kinase induced complete destabilization of microtubules when applied to lysed cells, while a variety of other protein kinases were ineffective. This suggests that p34cdc2, or a kinase of similar specificity, may phosphorylate and inactivate microtubule-associated proteins, thereby conferring lability to otherwise length-wise stabilized microtubules.     

A dynamical model for receptor-mediated cell adhesion to surfaces.

We present a dynamical model for receptor-mediated adhesion of cells in a shear field of viscous fluid to surfaces coated with ligand molecules complementary to receptors in the cell membrane. We refer to this model as the "point attachment model" because it considers the contact area between the cell and the surface to be a small, homogeneous region that mediates the initial attachment of the cell to the surface. Using a phase plane analysis of a system of nonlinear ordinary differential equations which govern the changes in free receptor density and bond density within the contact area with time, we can predict the conditions for which adhesion between the cell and the surface will take place. Whether adhesion occurs depends on values of dimensionless quantities that characterize the interaction of the cell and its receptors with the surface and its ligand, such as the bond formation rate, the receptor-ligand affinity, the fluid mechanical force, the receptor mobility, and the contact area. A key result is that there are two regimes in which different chemical and physical forces dominate: a rate-controlled high affinity regime and an affinity-controlled low-affinity regime. Many experimental observations can be explained by understanding which of these regimes is appropriate. We also provide simple approximate analytical solutions, relating adhesiveness to cell and surface properties as well as fluid forces, which allow convenient testing of model predictions by experiment.     

Modelling global terrestrial vegetation-climate interaction

By coupling an atmospheric general circulation model asynchronously with an equilibrium vegetation model, manifold equilibrium solutions of the atmosphere-biosphere system have been explored. It is found that under present-day conditions of the Earth''s orbital parameters and sea-surface temperatures, two stable equilibria of vegetation patterns are possible: one corresponding to present-day sparse vegetation in the Sahel, the second solution yielding savannah which extends far into the south-western part of the Sahara. A similar picture is obtained for conditions during the last glacial maximum (21 000 years before present (BP)). For the mid-Holocene (6000 years BP), however, the model finds only one solution: the green Sahara. We suggest that this intransitive behaviour of the atmosphere-biosphere is related to a westward shift of the Hadley-Walker circulation. A conceptual model of atmosphere-vegetation dynamics is used to interpret the bifurcation as well as its change in terms of stability theory.     

Regulation of cell adhesion by affinity and conformational unbending of alpha4beta1 integrin

Rapid activation of integrins in response to chemokine-induced signaling serves as a basis for leukocyte arrest on inflamed endothelium. Current models of integrin activation include increased affinity for ligand, molecular extension, and others. In this study, using real-time fluorescence resonance energy transfer to assess alpha(4)beta(1) integrin conformational unbending and fluorescent ligand binding to assess affinity, we report at least four receptor states with independent regulation of affinity and unbending. Moreover, kinetic analysis of chemokine-induced integrin conformational unbending and ligand-binding affinity revealed conditions under which the affinity change was transient whereas the unbending was sustained. In a VLA-4/VCAM-1-specific myeloid cell adhesion model system, changes in the affinity of the VLA-4-binding pocket were reflected in rapid cell aggregation and disaggregation. However, the initial rate of cell aggregation increased 9-fold upon activation, of which only 2.5-fold was attributable to the increased affinity of the binding pocket. These data show that independent regulation of affinity and conformational unbending represents a novel and fundamental mechanism for regulation of integrin-dependent adhesion in which the increased affinity appears to account primarily for the increasing lifetime of the alpha(4)beta(1) integrin/VCAM-1 bond, whereas the unbending accounts for the increased capture efficiency.     

Cell behavior and morphogenesis in hydroids

Summary Hydra morphogenesis, particularly of the hydranth, is analyzed in terms of the behavior of cells. According to model systems, cell growth (and proliferation), movement, and adhesion all seem potentially capable of determining hydranth form. In hydra and related hydroids, patterns of cell adhesion appear to be the most important in determining form and development. The taeniolae, or ridges of hypostome gastrodermis, may be the result of high cell-to-cell affinity and low cell-to-mesolamella adhesion. In intertaeniolate regions the reverse contact relations are found. Tentacles appear to result from an extreme intertaeniolate type of adhesion pattern.     

Pattern formation of the cone mosaic in the zebrafish retina: a cell rearrangement model

In fish retinas, cone photoreceptor cells are arranged in two-dimensional regular patterns, called cone mosaics. In the zebrafish retina, four subtypes of cone cells, which are maximally sensitive to different wavelengths of light, appear in quasi-periodic patterns. The pattern formation mechanism is unknown. Here, I develop a mathematical model to examine whether cell adhesion can explain the formation of the zebrafish mosaic. I assume that the movement of differentiated cells is responsible for generating the pattern, and that the movement rate is modified by cell adhesion. The pattern is formed if the magnitudes of cell adhesion between cell types are chosen appropriately. I determine the conditions of cell adhesion for generating the pattern. I also compare this cell rearrangement model with a previously studied model in which the pattern is formed by transitions of cell fate. The condition for obtaining the focal pattern is looser in the cell rearrangement model than in the fate transition model.