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  • Modelling  (2)
  • local controllability  (1)
  • 1
    Electronic Resource
    Electronic Resource
    Multiple local solutions to nonlinear control processes (1990)
    Springer
    Journal of optimization theory and applications 67 (1990), S. 463-485 
    Details
    ISSN: 1573-2878
    Keywords: Perturbed linear control processes ; Nielsen fixed-point theory ; local controllability ; Leray-Schauder condition ; retractability
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We use the topological tool of Nielsen fixed-point theory to study the controllability of perturbed linear control processes whose control space can be reduced to a finite-dimensional one. These methods produce a lower bound on the number of controls that achieve a given target. We concentrate particularly on the case where the perturbation has sublinear growth, and we exhibit examples of multiple controls of various types that are detected by the Nielsen theory method.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00939645
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  • 2
    Electronic Resource
    Electronic Resource
    Compartmental modelling based on methionine tolerance test data: a case study (1979)
    Springer
    Medical & biological engineering & computing 17 (1979), S. 223-229 
    Details
    ISSN: 1741-0444
    Keywords: Metabolic systems ; Modelling
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Chemistry and Pharmacology , Medicine
    Notes: Abstract A case study illustrates the application of systems theory to the analysis of data from nonrepeatable experiments with relatively few data points. The specific problem considered is the compartmental modelling in the human of the metabolic pathways of orally-administered methionine using tolerance test data. Attention is restricted to linear models, and concentrates on the determination of parsimonious structures (i.e. with as few parameters as possible) and their physiological interpretation.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02440933
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  • 3
    Electronic Resource
    Electronic Resource
    Adequacy of measurements in compartmental modelling of metabolic systems (1979)
    Springer
    Medical & biological engineering & computing 17 (1979), S. 216-222 
    Details
    ISSN: 1741-0444
    Keywords: Metabolic systems ; Modelling
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Chemistry and Pharmacology , Medicine
    Notes: Abstract The adequacy of present-day measurement techniques for the compartmental modelling of metabolic systems is investigated using numerical examples and analysis of experimentally-obtained plasma clearance curves. It is concluded that the model parameters obtained are often of questionable accuracy. The situation can be improved by careful monitoring of experimental conditions and judicious spacing of data points on the response curve, but the work shows a clear need for a continuous (or semicontinuous) method of monitoring plasma concentration. To resolve ambiguities between models equally plausible on physiological grounds, it is necessary to monitor the dynamics of internal variables, for example, of the concentration in the liver (which is nowadays possible noninvasively).
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02440932
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