Appendix C: Analytical Integration by Laplace Transform

  • James E. A. McIntosh
  • Rosalind P. McIntosh
Part of the Monographs on Endocrinology book series (ENDOCRINOLOGY, volume 16)


The following is an example of the use of an analytical method to integrate a differential equation in compartmental analysis. The integration is necessary in order to convert an equation in terms of the rate of change of specific activity, da/dt, into an equation in specific activity, a, to allow comparison with experimental values of a. Integration is here carried out by means of Laplace transforms (Sect. 2.2), but any of the other standard analytical or numerical methods suggested, e. g. by Riggs (1970), would be suitable. Numerical integration of similar compartmental models by computer is illustrated in Sects. 5.2.3–5.2.5.

Copyright information

© Springer-Verlag Berlin, Heidelberg 1980

Authors and Affiliations

  • James E. A. McIntosh
    • 1
  • Rosalind P. McIntosh
    • 2
  1. 1.Department of Obstetrics and GynaecologyUniversity of AdelaideAdelaideAustralia
  2. 2.Lucy Cavendish CollegeCambridgeUK

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