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  • 1
    Electronic Resource
    Electronic Resource
    Amsterdam : Elsevier
    Biochimica et Biophysica Acta (BBA)/Biomembranes 646 (1981), S. 61-70 
    ISSN: 0005-2736
    Keywords: (Lipid bilayer) ; Diffusion-reaction coupling ; Ion transport ; Permeability
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Biology , Chemistry and Pharmacology , Medicine , Physics
    Type of Medium: Electronic Resource
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  • 2
    ISSN: 1432-1424
    Keywords: α-Latrotoxin channels ; Ca2+ permeability ; two-barrier model
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Chemistry and Pharmacology
    Notes: Summary α-Latrotoxin, a polypeptide neurotoxin known to cause massive release of transmitter from vertebrate nerve terminals, is thought to act by forming cation-selective channels in plasma membranes. This paper describes the steady-state current carried by Ca2+, Sr2+ and Ba2+ through pores of α-LaTx molecules incorporated in artificial bilayer membranes made of neutral lipids. Even when the solutions separated by the membrane are identical, theI-V relations rectify strongly, the current being higher when the side to which the toxin is added is positive. The polarity of the rectification is consistent with the hypothesis that the mechanism of action of the toxin is, at least in part, that of promoting inwardly directed flow of cations, and thus, accumulation of Ca2+ and other ions in the intracellular spaces. The dependence of theI-V characteristics on voltage and Ca2+ concentration is well described by a one-site, one-ion model for a channel. Three parameters of the model are deduced: the binding constant of the site for Ca2+,K=1.5m −1 (orK=7m −1 when activities are used instead of concentrations); the “electrical” distance of the site from the toxin-containing solution, α=0.3; the free energy difference between the two barrier peaks, δF =0.26 kT. The values of the parameters deduced by studying the channel in the presence of Ca2+ give theoretical curves that also fit the data with Sr2+ and Ba2+, indicating a low level of discrimination among these three cations.
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Radiation and environmental biophysics 5 (1969), S. 292-304 
    ISSN: 1432-2099
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Physics
    Notes: Abstract A system composed of two ionic solutions, solution (′) and solution (″), which are isotonic and separated by a membrane permeable to the solvent and to at most two of the ionic components present in the solutions, is considered. The variations of the difference of electric potential between solution (″) and solution (′), in the steady state and for zero electric current, corresponding to variations in the composition of e.g. solution (′), are found to depend only on the properties of the membrane phase at the boundary with solution (′). This result is deducible under loose assumptions as to the dependence of the properties of transport and absorption of the permeant components in the membrane on their activities in solution. It can therefore be particularly useful for the study of systems, like biological membranes, whose structural and chemical composition is so poorly known that any assumption about that dependence is hardly justifiable.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Radiation and environmental biophysics 3 (1966), S. 22-35 
    ISSN: 1432-2099
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Physics
    Notes: Summary This paper presents a derivation, in steady state condition, of the voltage current relationship across a membrane, with charged immobile sites separating two aqueous solutions, where only two species of counterions of the same valence, to which the membrane is permeable, are present. The concentration of the sites is assumed uniform and high enough to exclude the ions of the same sign (coions) from the membrane phase. The mutual interactions between the permeant species (counterion 1 and 2 and water) and their interaction with, the membrane component are taken into account in the equations of flow. The concentration profiles of the mobile species, the partial fluxes and the conductance are expressed as functions of the voltage, the current density and of the boundary concentrations.
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    Radiation and environmental biophysics 3 (1967), S. 281-299 
    ISSN: 1432-2099
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Physics
    Notes: Summary In a previous paper (Ciani andGliozzi, 1966) we presented the integration of the phenomenological equations of flow of irreversible thermodynamics, describing the movement of water and two monovalent counterions across a uniform permselective membrane. The present paper generalizes those results, by introducing less restrictive assumptions and by allowing for the case that two counterions of different valences or one counterion and one coion are present in the membrane. The analytical expressions for the voltage-current relationship, the fluxes of the mobile species and the profiles of the concentrations are derived. The membrane resistance and the rectification properties of the system are analyzed in detail. The expression of the flux of water is found to allow for negative electroosmosis. Some comparative remarks between the present treatment and the earlier theory bySchlögl andSchödel (Schlögl andSchödel, 1955) are presented in the last section of the paper.
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  • 6
    Electronic Resource
    Electronic Resource
    Springer
    Radiation and environmental biophysics 5 (1968), S. 145-156 
    ISSN: 1432-2099
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Physics
    Notes: Summary The paper presents a theoretical investigation of electrodiffusion in a system composed of a liquid membrane, containing charged sites, interposed between two aqueous ionic solutions. The membrane is assumed to be permeable to both counterions and colons, the treatment being, however, restricted to the simple case in which only two monovalent ionic species, oppositely charged, are present in the membrane phase. The concentration profiles of the mobile species, the current-voltage relationship, the fluxes-voltage relationship and the asymptotic behavior of the membrane conductance are derived. The results obtained show the qualitative deviation of the behavior of such a system, as compared to that of a liquid coion excluding and of a fixed charge membrane.
    Type of Medium: Electronic Resource
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  • 7
    ISSN: 1432-1424
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Chemistry and Pharmacology
    Notes: Summary To develop a quantitiative theoretical treatment for the effects of neutral macrocyclic antibiotics on the electrical properties of phospholipid bilayer membranes, this paper proceeds from the known ability of such molecules to form stoichiometric, lipid-soluble complexes with cations and deduces the electrical properties that a simple organic solvent phase would have if it were made into a membrane of the thinness of the phospholipid bilayer. In effect, we postulate that the essential barrier to ion movement across a bilayer membrane is its liquid-like hydrocarbon interior and that the neutral macrocyclic antibiotics bind monovalent cations and solubilize them in the membrane as mobile positively charged complexes. Using the Poisson-Boltzmann equation to describe the equilibrium profile of the electrical potential, it is shown that an excess of the positive complexes over all the other ions is expected in the membrane as a net space charge for appropriate conditions of membrane thickness and values of the partition coefficients of the various ionic species and without requiring the presence of fixed charges. Describing the fluxes of these complexes by the Nernst-Planck equation and neglecting the contribution to the electric current of uncomplexed ions, theoretical expressions are derived for the membrane potential in ionic mixtures, as well as for the limiting value of the membrane conductance at zero current when the membrane is interposed between identical solutions. The expressions are given in terms of the ionic activities and antibiotic concentrations in the aqueous solutions so as to be accessible to direct experimental test. Under suitable experimental conditions, the membrane potential is described by an equation recognizible as the Goldman-Hodgkin-Katz equation, in which the permeability ratios are combinations of parameters predicted from the present theory to be independently determinable from the ratio of membrane conductances in single salt solutions. Since this identity between permeability and conductance ratios is expected also for systems obeying the “Independence Principle” of Hodgkin and Huxley, the applicability of this principle to membranes exposed to antibiotics is discussed, and it is shown that this principle is compatible with the permeation mechanism proposed here.
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  • 8
    Electronic Resource
    Electronic Resource
    Springer
    The journal of membrane biology 30 (1976), S. 45-63 
    ISSN: 1432-1424
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Chemistry and Pharmacology
    Notes: Summary The steady-state electrical properties induced by neutral carriers of ions in lipid bilayer membranes and the time dependence of the membrane current for low applied voltages are described theoretically in terms of a model which allows for a voltage dependence of the interfacial reactions, as well as for a trapezoidal shape of the internal free energy barrier for translocation of the complex. The basic features of the model are closely related to those of others presented previously (J.E. Hall, C.A. Mead & G. Szabo, 1973,J. Membrane Biol. 11:75; S.B. Hladky, 1974,Biochim. Biophys. Acta 352:71; S.B. Hladky, 1975,Biochim. Biophys. Acta 375:327; Eisenman, Krasne & Ciani, 1975,Ann. N.Y. Acad. Sci. 264:34), but the analysis of its consequences on the steady-state and nonsteady-state electrical characteristics is given here in greater detail and is extended to provide the expression for the zero-current potential in ionic gradients. It is shown that parameters, such as the width of the trapezoidal barrier, the plane of the reaction and the ratio of the rate constant of translocation across the membrane interior to the rate constant of dissociation of the complex, can be deduced from steady-state analysis, whereas the individual values of these constants and the distance between the equilibrium positions of the complexes are deducible from relaxation measurements.
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  • 9
    Electronic Resource
    Electronic Resource
    Springer
    The journal of membrane biology 9 (1972), S. 3-36 
    ISSN: 1432-1424
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Chemistry and Pharmacology
    Notes: Summary The cyclic polyether XXXII, a neutral, lipid soluble molecule, produces large increases in the conductance of bilayer membranes formed from a variety of lipids. The conductance increases linearly with the concentration of alkali metal cation but with the square, and at higher concentrations the cube, of the polyether concentration. This implies that two or three polyether molecules combine with a single cation to carry it across the membrane. In the presence of XXXII the bilayer is permeable solely to cations and the membrane potential is described by an equation of the Goldman-Hodgkin-Katz type. The permeability ratios determined from potential measurements are independent of salt concentration, decrease in the sequence Cs〉Rb〉K〉NH4〉Na〉Li(1.0,0.25, 0.15, 0.075, 0.007, 0.0013) and are equal to the conductance ratios at low (e.g. 10−3 m) salt concentration. At higher salt concentrations, the permeability and conductance ratios are not equal and maxima in the conductancevs. salt concentration curves are observed. Both these phenomena are postulated to be caused by the formation of relatively impermeant 1ν1 polyether cation complexes in the aqueous phase. The 1ν1 aqueous association constants deduced from bilayer measurements decrease in the sequence K〉Rb〉Na〉NH4〉Cs〉Li (120, 34, 26, 19, 12, 4 liters per mole) and agree quantitatively with the literature values for the more water soluble polyether XXXI, which lacks only thet-butyl groups of XXXII.
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  • 10
    Electronic Resource
    Electronic Resource
    Springer
    The journal of membrane biology 142 (1994), S. 395-408 
    ISSN: 1432-1424
    Keywords: KATP channel ; Patch clamp ; G protein ; Mg2+ ; Theoretical model
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Chemistry and Pharmacology
    Notes: Abstract The G-protein-mediated coupling of a glucagon receptor to ATP-dependent K channels—KATP—has been studied in insulin-secreting cells using the patch clamp technique. In excised outside-out patches, KATP channel activity was inhibited by low concentrations of glucagon (IC50 = 2.4 nm); the inhibitory effect vanished at concentrations greater than 50 nm. In cell-attached patches, inhibition by bath-applied glucagon was seen most often, although stimulation was observed in a few cases. A dual action of the hormone is proposed to resolve these apparently divergent results. In excised inside-out patches, KATP channel activity was inhibited by addition of βγ subunits purified from either erythrocyte or retina (IC50 = 50 pm and 1 nm, respectively). Subsequent exposure of the patch to α i or α o reversed this effect. In excised inside-out patches, increasing Mg2+ in the bath stimulated the channel activity between 0 and 0.5 mm, but blocked it at higher concentrations (IC50 = 2.55 mm). In most cases (70%), GTP had a stimulatory effect at concentrations up to 100 μm. However, in three cases, similar GTP levels had clear inhibitory effects. In excised inside-out patches, cholera toxin (CTX) caused channel inhibition. Although the effect could not be reversed by removal of the toxin, the activity was restored by subsequent addition of purified α i or α o . These results are compatible with a model whereby channel inhibition by activated G S -coupled receptors occurs, at least in part, via association of the βγ subunits of G S with α i /α o subunits and deactivation of the α i /α o -dependent stimulatory pathway. On the basis of this hypothesis, a model is developed to describe the effects of G proteins on the KATP channel, as well as to account for the concentration-dependent stimulation and inhibition of KATP channel by Mg2+. An interpretation of the ability of glucagon to potentiate, but not initiate, insulin release is also given in terms of this model and the effects of ATP on KATP channels. This work was supported by grant DCB-89 19368 from the National Science Foundation and a research grant (W-P 880513) from the American Diabetes Association to B.R.
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