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  • 1
    Electronic Resource
    Electronic Resource
    A theoretical analysis for determining the nonlinear hydraulic permeability of a soft tissue from a permeation experiment (1985)
    Springer
    Bulletin of mathematical biology 47 (1985), S. 669-683 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract The nonlinear nature of the hydraulic permeability, as well as the corresponding pressure and displacement fields, in a soft tissue are studied for steady-state permeation. From a two-phase continuum model analytical expressions are derived that can be used with the results from a permeation experiment to determine the dependence of the permeability on the strain. In the process it is found that, because of the compaction of the tissue arising from fluid flow, it is necessary to distinguish between the apparent and intrinsic permeability. The former, which is an averaged quantity, is the permeability usually obtained in permeation studies. However, as shown from the analysis, it can differ substantially from the latter, which is the local permeability in the tissue.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02460132
    Library Location Call Number Volume/Issue/Year Availability
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    A note on modeling mechano-chemical transduction with an application to a skin receptor (1994)
    Springer
    Journal of mathematical biology 32 (1994), S. 275-285 
    Details
    ISSN: 1432-1416
    Keywords: Transduction ; Mechanoreceptors ; Pacinian corpuscle ; Stretch-sensitive ionic channel
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract Strain-sensitive (also called stretch-sensitive) ionic channels are thought to be present in various mechanoreceptors. The gating of these channels is precipitated by mechanical strains, as opposed to the usual activation processes of changes in membrane potential or other ligands. Below we present a class of models for the strain-activated mechanism, compare our approach to one of Sachs and Lecar (1991), and apply the gating mechanism to a model of a specific mechanoreceptor, namely a Pacinian corpuscle neurite model. The simulation experiment suggests the activation energy of the channel depends linearly, rather than nonlinearly, on the (hoop) strain in the receptor membrane.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00163883
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    Paper (German National Licenses)
    Fulltext
  • 3
    Electronic Resource
    Electronic Resource
    The application of symbolic computing to chemical kinetic reaction schemes (1991)
    New York, NY [u.a.] : Wiley-Blackwell
    Journal of Computational Chemistry 12 (1991), S. 1223-1231 
    Details
    ISSN: 0192-8651
    Keywords: Computational Chemistry and Molecular Modeling ; Biochemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology , Computer Science
    Notes: Given a reaction mechanism we show how a symbolic computation approach can be used to develop the kinetic equations by identifying the reaction scheme with an equivalent matrix. Our method is also applicable in cases where the stoichiometric matrix approach fails. The specific algorithm that is written applies to schemes where individual reactions are at most ternary, but the way to generalize the procedure is also discussed. By using symbolic computing it is possible to determine general properties of the system. We demonstrate this by showing how to use the matrix to determine the system's conservation laws, which in turn can be used to reduce the number of equations in the system. As another application it is shown how to determine some of the species which have a zero equilibrium state. To illustrate the procedure, example reaction schemes are investigated.
    Additional Material: 4 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/jcc.540121009
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    Paper (German National Licenses)
    Fulltext
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