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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Bulletin of mathematical biology 46 (1984), S. 827-844 
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract In two-state sliding filament models of muscle contraction a partial differential equation must be solved to find the cross-bridge distribution functionn(x, t). In this paper the analytical form of this function is obtained by integration along the characteristic line and special cases are presented in which the explicit expression forn(x, t) can be completely determined. These analytical solutions provide a direct mathematical connection between the microscopic contraction parameters contained in the kinetic theories and macroscopic muscle dynamics and are thus used to investigate what parameters influence the transient contractile tension in typical experimental conditions. The results of this investigation are consistent with relevant aspects of muscle physiology.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Medical & biological engineering & computing 24 (1986), S. 261-266 
    ISSN: 1741-0444
    Keywords: Modelling ; Parameter estimation ; Ventricular pumping function
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Chemistry and Pharmacology , Medicine
    Notes: Abstract A simple model which represents a linear approximation of the pressurel volume/flow relationship extensively used for describing ventricular mechanics, especially in simulation studies, is developed. In this model, the left ventricle is represented by a pressure generator in series with viscous and elastic time-varying elements. Despite its simplicity, the model elucidates the intimate connections between some current approaches for characterising pulsatile ventricular behaviour. A conventional identification scheme was used to estimate viscous and elastic parameters from data measured in both isolated rabbit hearts and open-chest dogs. Their variations with preload and afterload are shown to reflect known local characteristics of the inherently nonlinear cardiac pump, which correspond also to relevant features at muscular level. These results, together with some recent experimental evidence, substantially support the finding that both viscosity and elastance vary with time in linear proportion to the isovolumic pressure.
    Type of Medium: Electronic Resource
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  • 3
    Publication Date: 2012-09-02
    Print ISSN: 0258-8900
    Electronic ISSN: 1432-0819
    Topics: Geosciences
    Published by Springer
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