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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    The journal of membrane biology 15 (1974), S. 87-106 
    ISSN: 1432-1424
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Chemistry and Pharmacology
    Notes: Summary The multicompartmental frog skin epidermis model proposed in a previous paper was applied to computer simulation studies on the kinetics of the wash-out process of Na* from frog skin. Both the kinetics of loading of the model membrane with Na* from the outside to reach steady-state conditions in all internal compartments, and of the wash-out process were followed. This was done for the case when two Na+ pumps were operative, or inoperative, simulating the inhibitory effect of ouabain on active Na+ transport in frog skin. The two pumps were characterized as transmembrane Na+ flow pumps, and internal Na+ maintenance pumps which contribute but little to net inward Na+ flux. The simulation results were in good agreement, both qualitatively and quantitatively, with data in the literature on the behavior of frog skin epidermis. This analysis gives support especially to the views held by Zerahn on location and size of the active Na+ transport pool in skin epithelium. Beyond this, however, this study clearly delineates the experimental conditions under which the estimation of the Na+ transport pool by the method of measuring the wash-out rate of Na* may be successful, and under which conditions this method will fail.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    The journal of membrane biology 15 (1974), S. 47-66 
    ISSN: 1432-1424
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Chemistry and Pharmacology
    Notes: Summary The operation of a seven-compartment model is described with respect to flows of Na+ within and across this system, simulating published results obtained on frog skin. The seven compartments represent: one outside and one inside solution compartment; the subcorneal space; the first reacting cell layer (1. RCL); the remaining cell compartment; the non-, or slowly exchangeable Na+ compartment; the extracellular space. Assuming reasonable volumes for the epidermal compartments and further chosing, by trial and error, appropriate rate constants, a set of seven simultaneous linear differential equations was solved by the application of the Continuous System Modeling Program (CSMP), using an IBM 1130 computer. Initial conditions for influx, backflux and net flux were taken which correspond to [Na+]0; [Na+] i =115mm. Print-out data were obtained at 0.5-min intervals for 30 min, when steady states were obtained in 13 models studied, varying certaink's thus simulating actions of chemical agents (hormones; drugs). Simulation was achieved with regard to rate of influx, backflux and net flux, steady-state time (30 min), and electrical potentials. In addition, this approach gave detailed information on Na+ pool sizes and their variations with changes ink's. These results are compared to published data on frog skin and good agreement between operation of skin epidermis and model was found.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    The journal of membrane biology 15 (1974), S. 67-86 
    ISSN: 1432-1424
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Chemistry and Pharmacology
    Notes: Summary The operation of the multicompartmental frog skin epidermal model 10E described in the preceding paper was tested to find out by computer simulation whether it responds to changes in [Na+] in the same manner as frog skin. In the range from 5 to 115mm [Na+]0, the rate of net Na+ flux across skin is known to increase. The results can be fitted to Michaelis-Menten's law of reaction kinetics, or, alternately, to Hoshiko's linear function, plotting fluxvs. log [Na+]0. Model 10E simulated the laboratory results on skin, provided that the rate coefficients at the site of entry of Na+ into the system were varied in exactly the same manner as they actually were found to vary in skin. In model studies, Na+ backflux (outflux) decreased with increasing [Na+]0, contrary to observations on skin. This discrepancy may be related to adaptive reactions in skins (decrease in permeability) when [Na+]0 is lowered, a feature that has not been modeled. It is known that the skin p.d. changes, mostly, by approximately 35 mV per decade change in [Na+]0. Model 10E gave very nearly the same result when the rate coefficients for entry of Na+ were changed as mentioned above (i.e., varied exactly as they were found to vary in skin). Skin and model 10E behaved similarly in that, at [Na+]0=[Na+] i =115mm, the extent to which labeling with Na* from the outside (12%) and from the inside (88%) is possible was the same. Model data are presented which show in which way the Na+ pools, [Na+] in the individual compartments, and intercompartmental fluxes changed with changing [Na+]0. Because of lack of experimental data on skin for comparison, these calculated results are purely hypothetical, but they are not unreasonable.
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Journal of pharmacokinetics and pharmacodynamics 7 (1979), S. 675-679 
    ISSN: 1573-8744
    Keywords: nonlinear regression ; parameter estimation ; multiple dosing
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract Two examples are given to show how Metzler's nonlinear regression program can be used to estimate parameters in a model with multiple dosing. The model of one example is a set of equations involving sums of exponentials, whereas the other model is a set of differential equations reflecting first order absorption and Michaelis-Menten excretion. In both cases no data were given in one of the dosing intervals.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    Hoboken, NJ : Wiley-Blackwell
    AIChE Journal 10 (1964), S. 562-567 
    ISSN: 0001-1541
    Keywords: Chemistry ; Chemical Engineering
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Process Engineering, Biotechnology, Nutrition Technology
    Additional Material: 10 Ill.
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    Springer
    Annals of biomedical engineering 5 (1977), S. 194-207 
    ISSN: 1573-9686
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine , Technology
    Notes: Abstract In this study we have applied a multicompartment whole frog skin model to a kinetic analysis of the process of washout of radioactive sodium (Na*) from both the epidermis and the underlying corium (dermis). This work is different from earlier publications from this laboratory in which only epidermis was considered. The whole skin model is designed in accordance with presently known anatomical and physiological information on frog skin. The chief aim of this analysis of well-known kinetic laboratory data was to present numerical computer data suggesting that the slow Na* washout component (t 1/2≅15 min) seen in laboratory studies, results from the participation of cellular (glandular) structures in the corium, not those in the epidermis. In addition, computed data on [Na+] profiles in the model membrane are briefly presented. Although the [Na+] values appear intuitively reasonable, they await experimental confirmation, which requires an analytical technique with a resolution power far superior over that of conventional histochemical methods. The [Na+] gradients are, however, compatible with the known total Na+ content of skin and the overall input-output flows of Na+ across frog skin.
    Type of Medium: Electronic Resource
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  • 7
    Electronic Resource
    Electronic Resource
    Springer
    Annals of biomedical engineering 7 (1979), S. 73-94 
    ISSN: 1573-9686
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine , Technology
    Notes: Abstract Epithelial membranes are multicompartment structures of microscopic and submicroscopic dimensions. Therefore, interpretations of kinetic data on solute fluxes, based on the standard three compartment model are open to criticism. We have obtained an integrated view of the kinetics of Na+ transport in frog skin epidermis by application of the computer simulation method. Epidermis and whole skin models were designed which resemble photomicrographs of these tissues. Justification is given for the way in which internal and external chamber compartments are connected (topology). The epidermis model has eight passive, and two active transfer sites. Our primary aims were 1) simulation of the transepidermal Na+ influx and the concomitant Na+ backflux saturation kinetics, and 2) localization of the so-called “outer” and “inner” Na+ responsive borders in epidermis. The analysis, based on methodical variations of transfer coefficients, suggests involvement of the “composite desmosomes” and the transepithelial Na+-pump leak pathway. These are located in the outer and the inner region of the epidermis, respectively. Reasonable functional agreement between epidermis and model was also seen in 1) Na+ saturation kinetics in ouabain, poisoned system, 2) relative independence of the two borders to the “trans” [Na+] in the external solutions, and 3) equal energy requirement, for the transmembrane Na+ pump, Na+/O2∼-20.
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    Springer
    Annals of biomedical engineering 7 (1979), S. 202-202 
    ISSN: 1573-9686
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine , Technology
    Type of Medium: Electronic Resource
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  • 9
    Publication Date: 2008-11-10
    Print ISSN: 0003-6951
    Electronic ISSN: 1077-3118
    Topics: Physics
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  • 10
    Publication Date: 1982-01-01
    Print ISSN: 0038-092X
    Electronic ISSN: 1471-1257
    Topics: Energy, Environment Protection, Nuclear Power Engineering , Physics
    Published by Elsevier
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