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  • Articles  (2)
  • pharmacokinetics
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  • Springer  (2)
  • 2005-2009
  • 1980-1984  (2)
  • 1965-1969
  • 1925-1929
  • Mathematics  (2)
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  • Articles  (2)
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  • Springer  (2)
Years
  • 2005-2009
  • 1980-1984  (2)
  • 1965-1969
  • 1925-1929
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  • 1
    Electronic Resource
    Electronic Resource
    A note on the rôle of generalized inverse Gaussian distributions of circulatory transit times in pharmacokinetics (1984)
    Springer
    Journal of mathematical biology 20 (1984), S. 95-102 
    Details
    ISSN: 1432-1416
    Keywords: pharmacokinetics ; generalized inverse Gaussian distribution ; recirculatory model ; renewal theory
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract Based on a stochastic pharmacokinetical model (which mirrors topological properties of the circulatory system) it is shown by reinterpreting results of Wise (1974) that if the transit times of circulating drug molecules have a generalized inverse Gaussian distribution the corresponding residence times are gamma distributed. The condition that the probability of elimination of a drug molecule in a single circulatory passage is sufficiently small appears to be valid for most drugs. Thus theoretical evidence is given for fitting blood concentration-time curves following bolus injection of a single dose by power functions of time.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00275864
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  • 2
    Electronic Resource
    Electronic Resource
    Parameters identification and optimal control in pharmacokinetics (1983)
    Springer
    Acta applicandae mathematicae 1 (1983), S. 105-120 
    Details
    ISSN: 1572-9036
    Keywords: Systems ; control ; Biomathematics ; identification in compartmental systems ; compartmental models ; pharmacokinetics ; optimal control of drugs
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We first introduce some main problems in pharmacokinetics and then we propose methods for their resolution. Of course, identification problem is considered. A numerical efficient method is given. It brings back to the resolution of a succession of linear algebraic systems. In the case of non unicity we suggest an approach based on the adjunction of a criterion to minimize. The last part studies the optimal injection of a drug associated to an optimization criterion. An explicit solution can be found for a n-compartments linear system.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00046831
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    Paper (German National Licenses)
    Fulltext
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