Cyanine dye as monitor of membrane potentials in Escherichia coli cells and membrane vesicles.

The fluorescence response of a positively charged cyanine dye: 3,3'-dimethylindodicarbocyanine iodide can be specifically related to the generation in Escherichia coli cells and E. coli membrane vesicles of an electrical membrane potential induced either by substrate oxidation or by an artificially imposed potassium diffusion gradient. The energy-dependent quenching of the dye fluorescence correlates well with the known effect on delta phi of: oxidation of various energy sources, external pH and solute accumulation. Thus, in the vesicles, the fluorescence quenching of the dye increases from succinate to D-lactate, to ascorbate/phenazine methosulfate and parallels the increasing ability of these electron donors to generate a delta phi. In the vesicles, delta phi is only weakly dependent on external pH, whereas in the cells, delta phi increases with increasing external pH. Lactose accumulation in the vesicles results in the partial utilization of delta phi. A calibration of the dye fluorescence in terms of delta phi has been determined using valinomycin-induced potassium diffusion potential.     

Mechanism of function of dicyclohexylcarbodiimide-sensitive Na+/H+-antiporter in Halobacterium halobium: pH effect

The regulatory roles of medium pH, a transmembrane pH gradient (delta pH), and an electrical potential (delta phi) on the activation of the N,N'-dicyclohexylcarbodiimide-sensitive Na+/H+-antiporter were studied in the membrane vesicle of Halobacterium halobium in the dark. Neither delta pH nor delta phi independently activated the antiporter but a combination could. The initial rate of Na+ extrusion did not proportionally relate to the size of delta microH+ imposed. The delta microH+-coupled Na+ efflux in the presence of delta phi (-140 mV) increased as external pH decreased, regardless of the size of delta pH, suggesting the existence of one external H+-binding site (apparent pKa 4.6) whose protonation determines primarily the Na+/H+-exchange activity. On the other hand, the dependence of the Na+ efflux on cytoplasmic pH varied with the size of delta pH imposed and the apparent pKa for the cytoplasmic H+ increased with elevating delta pH. The resulting pKa difference across the membrane seems to be the key mechanism for the facilitation of Na+-coupled H+ influx. In other words, delta pH modulates Na+/H+-exchange activity through manipulating the H+ affinity on the cytoplasmic regulatory site. The Na+ extrusion was gated by the threshold delta phi of -100 mV regardless of the size of existing delta pH. delta phi acts on the protonated antiporter and converts it into an active state which becomes delta pH reactive.     

Bioelectrorheological model of the cell. 1. Analysis of stresses and deformations

An electrorheological model of a cell in alternating electric field is proposed. The model relates changes in the spherical cell's shape to the field conditions, electric parameters of cytoplasm, cell membrane and external medium, and to the rheological parameters of the membrane. Stresses were determined using Maxwell's stress tensor for isotropic media. Shear stresses in the cell membrane were analyzed. Predictions of the model for variations of shear stress in cellular membranes subjected to an external periodic electric field are presented and related to the conditions prevailing in electrobiological research.     

Cooperative regulation of the Na+/H(+)-antiporter in Halobacterium halobium by delta pH and delta phi

The contributions of the transmembrane pH gradient (delta pH) and electrical potential (delta phi) to the delta mu H(+)-driven Na+ efflux (mediated by the N,N'-dicyclohexylcarbodiimide-sensitive Na+/H(+)-antiporter) were investigated in membrane vesicles of Halobacterium halobium. Kinetic analysis in the dark revealed that two different Na(+)-binding sites are located asymmetrically across the membrane: One, accessible from the external medium, has a Kd (half-maximal stimulation of Na+ efflux) of about less than 50 mM, and the Na+ binding to the site is a prerequisite for the antiporter activation by delta mu H+. The other cytoplasmic site is the Na+ transport site. The Km for the cytoplasmic Na+ decreased as the delta pH increased, while the Vmax remained essentially constant in the presence of defined delta phi (140 mV). On the other hand, delta phi elevation above the gating potential (approximately 100 mV) increased the Vmax without changes in the Km in the presence of a fixed delta pH. It was also noted that the Km value in the absence of delta phi was completely different from and far higher than that observed in the presence of delta phi (greater than 100 mV), indicating the existence of two distinct conformations in the antiporter, resting and delta phi gated; the latter state may be reactive only to delta pH. On the basis of the present data and the previous data on the pH effect (N. Murakami and T. Konishi, 1989 Arch. Biochem. Biophys. 271, 515-523), a model for the delta pH-delta phi regulation of the antiporter activation is proposed.     

Surface capacity of electrically syncytial tissues.

An exact geometry-independent formula is derived that gives the total surface membrane capacity of an electrical syncytium in terms of its input resistance (RIN) and the phase angle (phi) of its complex admittance. The formula strips off the effects of resistance in the extracellular space and exposes the true capacity of the external surface of preparations such as skeletal muscle fibers, cardiac Purkinje fibers, or spherical cardiac aggregates. The shape, extent, and resistivity of the extracellular space may be arbitrary and need not be measured. The medium in this space may have an arbitrary and nonuniform resistivity. It is assumed that the tissue is impaled with current and voltage electrodes, so that the intracellular resistance between the electrodes and membranes is negligible or can de dealth with by theoretical calculations. Under these circumstances the total surface membrane capacity at high frequency is determined exactly by RIN and a frequency domain integral over phi. The method is tested with synthetic data for RIN and phi generated by the "disk" model of skeletal muscle fibers and the "pie" model of cardiac Purkinje fibers. The formula allows the "inversion" of these data and the deduction of the correct value of the total surface membrane capacity.     

Cytoplasmic protein mobility in osmotically stressed Escherichia coli

Facile diffusion of globular proteins within a cytoplasm that is dense with biopolymers is essential to normal cellular biochemical activity and growth. Remarkably, Escherichia coli grows in minimal medium over a wide range of external osmolalities (0.03 to 1.8 osmol). The mean cytoplasmic biopolymer volume fraction ((phi)) for such adapted cells ranges from 0.16 at 0.10 osmol to 0.36 at 1.45 osmol. For cells grown at 0.28 osmol, a similar phi range is obtained by plasmolysis (sudden osmotic upshift) using NaCl or sucrose as the external osmolyte, after which the only available cellular response is passive loss of cytoplasmic water. Here we measure the effective axial diffusion coefficient of green fluorescent protein (D(GFP)) in the cytoplasm of E. coli cells as a function of (phi) for both plasmolyzed and adapted cells. For plasmolyzed cells, the median D(GFP) (D(GFP)(m)) decreases by a factor of 70 as (phi) increases from 0.16 to 0.33. In sharp contrast, for adapted cells, D(GFP)(m) decreases only by a factor of 2.1 as (phi) increases from 0.16 to 0.36. Clearly, GFP diffusion is not determined by (phi) alone. By comparison with quantitative models, we show that the data cannot be explained by crowding theory. We suggest possible underlying causes of this surprising effect and further experiments that will help choose among competing hypotheses. Recovery of the ability of proteins to diffuse in the cytoplasm after plasmolysis may well be a key determinant of the time scale of the recovery of growth.     

DCCD-sensitive, Na+-dependent H+-influx process coupled to membrane potential formation in membrane vesicles of Halobacterium halobium

The effects of N,N'-dicyclohexylcarbodiimide (DCCD) on light-induced H+-transport and transmembrane electric potential (delta phi) formation were studied in the membrane vesicles of Halobacterium halobium R1M1. In accordance with our previous finding of the existence of two DCCD-binding components in vesicle membrane using 14C-DCCD (Konishi & Murakami FEBS Lett. 169, 283-286 (1984)), DCCD inhibited the H+-influx process biphasically; that is, the H+-influx process which is electrically silent was initially inhibited at concentrations below 30 nmol of DCCD/mg vesicle protein, while another H+-influx process which is coupled to delta phi formation was secondarily inhibited above this concentration of DCCD. The latter H+-influx process was highly dependent on the Na+ concentration. The extents of Na+-dependent recovery of delta phi formation and H+-influx were quantitatively correlated. From these results, it was concluded that the second DCCD-sensitive H+-influx process which is coupled to delta phi formation is due to the hypothetical Na+/H+-antiporter postulated by Lanyi and MacDonald (Biochemistry 15, 4608-4614 (1976)). It was also found that Li+ can be substituted for Na+ in this system, as is the case with Na+/H+-antiporters found in other organisms.     

Influence of network topology on the elasticity of the red blood cell membrane skeleton.

A finite-element network model is used to investigate the influence of the topology of the red blood cell membrane skeleton on its macroscopic mechanical properties. Network topology is characterized by the number of spectrin oligomers per actin junction (phi a) and the number of spectrin dimers per self-association junction (phi s). If it is assumed that all associated spectrin is in tetrameric form, with six tetramers per actin junction (i.e., phi a = 6.0 and phi s = 2.0), then the topology of the skeleton may be modeled by a random Delaunay triangular network. Recent images of the RBC membrane skeleton suggest that the values for these topological parameters are in the range of 4.2 < phi a < 5.5 and 2.1 < phi s < 2.3. Model networks that simulate these realistic topologies exhibit values of the shear modulus that vary by more than an order of magnitude relative to triangular networks. This indicates that networks with relatively sparse nontriangular topologies may be needed to model the RBC membrane skeleton accurately. The model is also used to simulate skeletal alterations associated with hereditary spherocytosis and Southeast Asian ovalocytosis.     

Mechanical behavior of closed lamellar membranes as a possible common mechanism for the establishment of developmental shapes.

The mechanical behavior of a closed membrane composed of two layers in contact is described as it is obtained by finding the minimum of the membrane bending energy at constant membrane area, constant difference between the areas of the two layers, and constant enclosed volume. It is shown that the membrane bending energy is a discontinuous function of the volume (v) and difference between the layer areas (delta a) defined relative to the volume and area difference of a sphere with the same membrane area, respectively. However, for different classes of shapes it is possible to obtain regions in the v/delta a diagram within which the shapes change continuously with v and delta a. These regions are shown for the egg, dumbbell and cup shape classes, respectively. The results of the shape analysis are used in the discussion of cell polarity, cytokinesis and gastrulation. Cell polarity is related to the decrease in symmetry during the transition from the radially symmetrical spherical shape to the asymmetrical shapes of the egg class. It is proposed that symmetrical cytokinesis occurs within the dumbbell class and that asymmetrical cytokinesis occurs within the egg class. Gastrulation is described as shape transformations within the class of cup shapes.     

DCCD-sensitive Na+-transport in the membrane vesicles of Halobacterium halobium

The effects of N,N'-dicyclohexylcarbodiimide (DCCD) and various ionophores on light-induced 22Na+-transport were studied in right-side-out membrane vesicles from Halobacterium halobium R1M1. The light-induced Na+ efflux was inhibited at the same DCCD concentration (greater than 40 nmol/mg protein) as required for inhibition of the Na+-dependent membrane potential (delta phi) formation. This supports our previous indication that the DCCD-sensitive, Na+-dependent transformation of pH-gradient (delta pH) into delta phi is mediated by Na+/H+-antiporter (Murakami, N. and Konishi, T. (1985) J. Biochem. 98, 897-907). FCCP or a combination of valinomycin and triphenyltin (TPT) inhibits the light-induced Na+ efflux in accordance with the notion of protonmotive force (delta mu H+)-driven antiporter. However, a marked lag in initiation of the Na+ efflux occurred in the presence of valinomycin, TPMP+, or a small amount of FCCP, suggesting that a gating step is involved in the Na+ efflux. On the other hand, the delta pH-dissipating ionophore TPT did not cause the lag. A simultaneous determination of delta phi, delta pH, and Na+ efflux rate at the initial stage of illumination revealed that the antiporter is gated by delta phi rather than delta mu H+.     

A sensitive measure of surface stress in the resting neutrophil.

The simplest parameterized model of the "passive" or "resting receptive" neutrophil views the cell as being composed of an outer cortex surrounding an essentially liquid-like highly viscous cytoplasm. This cortex has been measured to maintain a small persistent tension of approximately 0.035 dyn/cm (Evans and Yeung. 1989. Biophys. J. 56:151-160) and is responsible for recovering the spherical shape of the cell after large deformation. The origin of the cortical tension is at present unknown, but speculations are that it may be an active process related to the sensitivity of a given cell to external stimulation and the "passive-active" transition. In order to characterize further this feature of the neutrophil we have used a new micropipet manipulation method to give a sensitive measure of the surface stress as a function of the surface area dilation of the highly ruffled cellular membrane. In the experiment, a single cell is driven down a tapered pipet in a series equilibrium deformation positions. Each equilibrium position represents a balance between the stress in the membrane and the pressure drop across the cell. For most cells that seemed to be "passive," as judged by their spherical appearance and lack of pseudopod activity, area dilations of approximately 30% were accompanied by only a small increase in the membrane tension, indicative of a very small apparent elastic area expansion modulus (approximately 0.04 dyn/cm). Extrapolations back to zero area dilation gave a value for the tension in the resting membrane of 0.024 +/- 0.003 dyn/cm, in close agreement with earlier measures.(ABSTRACT TRUNCATED AT 250 WORDS)     

Gradation of the magnitude of the electrochemical proton gradient in Mycoplasma cells

The results presented show that in Mycoplasma mycoides var. Capri, regulation of glucose uptake by its non-metabolizable analogue methyl alpha-D-glucoside, can be used to control intracellular ATP content. This in turn leads to a control of the rate of proton extrusion catalysed by the Mg2+-dependent ATPase (phi (cHxN)2C H+) and the respective amplitudes of the components of delta mu H+. When Mycoplasma cells are incubated with 10 mM methyl alpha-D-glucoside, the amplitude of phi (cHxN)2C H+, of the electrical potential delta psi and of the chemical gradient delta pH become continuous functions of external glucose concentration within the limits of the non-energized and fully energized states. Analysis of the relationships between graduated amplitudes of delta psi, delta pH and phi (cHxN) 2C H+ show that the primary form of energy stored by a delta mu H+ generator is the electrical potential.     

Simulation of saturation transfer electron paramagnetic resonance spectra for rotational motion with restricted angular amplitude.

We have simulated both conventional (V1) and saturation transfer (V'2) electron paramagnetic resonance spectra for the case of Brownian rotational diffusion restricted in angular amplitude. Numerical solutions of the diffusion-coupled Bloch equations were obtained for an axially symmetric 14N nitroxide spin label with its principal axis rotating within a Gaussian angular distribution of full width delta theta at half maximum. Spectra were first calculated for a macroscopically oriented system with cylindrical symmetry (e.g., a bundle of muscle fibers or a stack of membrane bilayers), with the Gaussian angular distribution centered at theta 0 with respect to the magnetic field. These spectra were then summed over theta 0 to obtain the spectrum of a randomly oriented sample (e.g., a dispersion of myofibrils or membrane vesicles). The angular amplitude delta theta was varied from 0 degrees, corresponding to isotropic motion (order parameter = 0). For each value of delta theta, the rotational correlation time, tau r, was varied from 10(-7) to 10(-2) s, spanning the range from maximal to minimal saturation transfer. We provide plots that illustrate the dependence of spectral parameters on delta theta and tau r. For an oriented system, the effects of changing delta theta and tau r are easily distinguishable, and both parameters can be determined unambiguously by comparing simulated and experimental spectra. For a macroscopically disordered system, the simulated spectra are still quite sensitive to delta theta, but a decrease in tau r produces changes similar to those from an increase in delta theta. If delta theta can be determined independently, then the results of the present study can be used to determine tau r from experimental spectra. Similarly, if tau r is known, then delta theta can be determined.     

Myoplasmic fixed charges of the barnacle muscle fiber (author's transl)]

The experimental model used to study diffusion and electrical conduction in the cytoplasm of large muscle fibers was adapted to evaluate the myoplasmic density of fixed charges. Membranes of myoplasm were prepared and phi X, the myoplasmic thermodynamically effective charge density, was calculated from the membrane potential (Kamo, N., Toyoshima, Y. and Kobatake, Y. (1971) Kolloid Z.u.Z. Polymère 1061--1068) when these membranes were used as the partition between two electrolyte solutions. The dilution of KCl in the external solutions reduced phi X, which increases with the reduction of the water content in the membrane of myoplasm. With a water content of 73.0 ml/100 g KCl concentration in the external medium equal to 0.15 M, phi X was evaluated to 0.058 equiv/l. The substitution of KCl by NaCl introduces a reduction in phi X of 20--50% depending on E1KCl] in the external solutions. The addition of ATP, Mg2+, and Ca2+ also causes a reduction of phi B by 30--50% according to the experimental conditions. These results indicate that the fraction of counterions dissociated from the myoplasmic macromolecules is reduced when the concentration of the counterions is diminished or when CKl is replaced by Nal. It also suggests a reduction of phi X during muscular contraction.     

Usefulness of ficoll in electric field-mediated cell fusion

Electrofusion is a technique that enables the production of new cell types with desired properties to be done. Ehrlich ascites tumor cells are fused by means of an electric field. Under too harsh external field strength or pulse length conditions, however, membrane breakdown leads to a loss of cellular cytoplasm. Addition of the high polymer Ficoll to the fusion medium increases its density and osmotic pressure, thus preventing cytoplasm from running out and, therefore, maintaining cell viability. Fusion between cells of different sizes is made possible or facilitated by means of Ficoll, as big cells do not lose their cytoplasm under conditions required for enhancing membrane permeability of the small cells. In presence of the proteolytic enzyme pronase, addition of Ficoll to the fusion medium further raises the fusion percentage compared to the exclusive addition of pronase. The fusion of cells of different densities is also greatly facilitated and its percentage increased by addition of Ficoll, thus obviating the necessity to perform electrofusion under conditions of microgravity.     

Theoretical analysis of shape transformation of V-79 cells after treatment with cytochalasin B

We observed that after treatment of V-79 fibroblasts with cytochalasin B the area of cell contact with the substrate is essentially reduced, the microtubules are organized into rodlike structures and the actin filaments are disintegrated. Remnants of the actin cortex become concentrated in the form of discrete patches under the plasma membrane. The described changes in the organization of the cytoskeleton and of the cortical shell are accompanied by the formation of a cell shape resembling the Greek letter phi. We calculated that the phi shape corresponds to the minimum of the stretching energy of the cortical shell at relevant geometrical constraints. In line with this result, if cytochalasin B treatment was followed by colchicine application which disrupted the microtubular rod, the characteristic phi shape completely disappeared. This study suggests that the effect of the microtubular rod on the cell shape can be theoretically well described by taking into account some basic conditions for the mechanical equilibrium of the cell cortical shell and the appropriate geometrical constraints.     

Oligomerization of peripheral membrane proteins provides tunable control of cell surface polarity

Asymmetric distributions of peripheral membrane proteins define cell polarity across all kingdoms of life. Non-linear positive feedback on membrane binding is essential to amplify and stabilize these asymmetries, but how specific molecular sources of non-linearity shape polarization dynamics remains poorly understood. Here we show that the ability to oligomerize, which is common to many peripheral membrane proteins, can play a profound role in shaping polarization dynamics in simple feedback circuits. We show that size-dependent binding avidity and mobility of membrane-bound oligomers endow polarity circuits with several key properties. Size-dependent membrane binding avidity confers a form of positive feedback on the accumulation of oligomer subunits. Although insufficient by itself, this sharply reduces the amount of additional feedback required for spontaneous emergence and stable maintenance of polarized states. Size-dependent oligomer mobility makes symmetry breaking and stable polarity more robust with respect to variation in subunit diffusivities and cell sizes, and slows the approach to a final stable spatial distribution, allowing cells to “remember” polarity boundaries imposed by transient external cues. Together, these findings reveal how oligomerization of peripheral membrane proteins can provide powerful and highly tunable sources of non-linear feedback in biochemical circuits that govern cell surface polarity. Given its prevalence and widespread involvement in cell polarity, we speculate that self-oligomerization may have provided an accessible path to evolving simple polarity circuits.     

Changes in the electrical and visco-elastic properties of bilayer lipid membranes during interaction with proteins and lipoproteins

A method for simultaneous registration of planar bilayer lipid membrane (BLM) DC conductance G, capacitance C, surface potential difference delta phi and transversal elasticity module E is developed. C, delta phi and E are proportional to the amplitude of the first, second and third harmonics of capacitance current respectively. A comparative study of the interaction of BLM with very low density lipoproteins (VLDL), influenza virus matrix protein (M-protein) and yeast invertase was carried out. The kinetics of delta phi, E and G changes at different concentrations of VLDL, and dependence of delta phi and G on M-protein and invertase concentration was investigated. It is shown for VLDL invertase and M-protein that the changes in delta phi and E occur before the change in G. The method used permits to study peculiarities of individual stages of interaction between charge particles, supramolecular structures and lipid membranes.     

Unit membrane parameters of electrically syncytial tissues.

A change in the holding voltage, exposure to channel-blocking agents, and similar interventions will induce changes in the membrane properties of electrically syncytial tissues. The altered membrane characteristics will produce changes in the input resistance (RIN) and the phase angle (phi) of the complex admittance of the whole preparation. Exact geometry-independent formulas are derived that give the intervention-induced changes in the membrane capacitance and conductance in terms of the measured changes in RIN and phi. The formulas automatically account for the effects of extracellular resistance in tissues such as skeletal muscle fibers, cardiac Purkinje fibers, and small cardiac "aggregates." The size, shape, and resistance of the extracellular space may be arbitrary and need not be measured. The surface (invaginated) membranes, which face the bath (extracellular space), are assumed to be characterized by an RC circuit with specific capacity Cme (Cmi) and specific conductivity gme (gmi). It is assumed that the intracellular voltage gradient between the electrodes and the membranes is negligible or reliably calculable. The intervention is assumed to leave the geometry and resistivity of the extracellular space unchanged. Under these circumstances the intervention-induced changes in Cme, Cmi, gme, and gmi are determined exactly in terms of the corresponding changes in RIN and certain frequency domain integrals over phi. The technique is illustrated by synthetic data for RIN and phi generated by the "disk" model of a skeletal muscle fiber in which Cme and Cmi depend upon holding voltage. The corresponding voltage dependence of RIN and phi is successfully "inverted" to expose the underlying voltage dependence of Cme and Cmi. These computations suggest that the formulas for Cme and Cmi will be useful in realistic situations, since they are not too sensitive to experimental error in the data for RIN and phi. This method makes it possible to detect voltage-dependent capacity changes due to unit membrane processes (e.g., charge movement) as long as the intrinsic time constant of that process is very small (e.g., less than 1/30 ms). As a second example I consider a disk model that is exposed to increasing concentrations of a channel-blocking agent. The drug dependence of RIN and phi is used to calculate the drug dependence of the total membrane conductivity (the sum of gme and gmi, weighted by the areas of surface and invaginated membranes, respectively).