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Proof of the general validity of Dost's law of corresponding areas

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Summary

In Part I, assumptions made in the construction of pharmacokinetic models and the solutions derived from them are discussed. It is shown that, under certain conditions, the drug in any compartment of a general model can be described by a sum of exponentials, where the exponents are the eigenvalues and the factors the components of the eigenvectors of the kinetic matrix. In Part II proof is presented that Dost's Law of corresponding areas is universally valid for any compartment model if linear processes are assumed to occur. Two practical examples are analysed.

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References

  1. Sheppard, C.W., Householder, A.S.: The mathematical basis of the interpretation of tracer experiments in closed steady state systems J. appl. Physiol.22, 510 (1951).

    Google Scholar 

  2. Branson, H.: The kinetics of reactions in biological systems. Arch. Biochem. Biophys.36, 48 (1952).

    Google Scholar 

  3. Hearon, J.Z.: The kinetics of linear systems with special reference to periodic reactions. Bull. Math. Biophys.15, 121 (1953).

    Google Scholar 

  4. Berman, M., Schoenfeld, R.: Invariants in experimental data on linear kinetics and the formulation of models. J. appl. Physiol.27, 1351 (1956).

    Google Scholar 

  5. Fourier- und Laplace-Transformationen. Lecture by Prof. Dr. E. Stiefel; revised by J. Nievergelt. Zürich: Verein der Mathematiker und Physiker an der ETH, 1961.

  6. Smirnow, W.I.: Lehrgang der höheren Mathematik. Part III, 1. Berlin: Dtsch. Verlag der Wiss., 1954.

    Google Scholar 

  7. Dost, F.H.: Grundlagen der Pharmakokinetik, 2nd edition. Stuttgart: Thieme 1968.

    Google Scholar 

  8. Seshu, S., Balabanian, N.: Linear network analysis. J. Wiley, 1959.

  9. Tobler, H.J.: Internal. unpublished note. Sandoz, Ltd., 1970.

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Nüesch, E. Proof of the general validity of Dost's law of corresponding areas. Eur J Clin Pharmacol 6, 33–43 (1973). https://doi.org/10.1007/BF00561799

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