Numerical deconvolution by least squares: Use of polynomials to represent the input function

  • David J. Cutler


A new method for numerical deconvolution is described, for use in calculating drug input rates. The method is based on the least-squares criterion and approximates the input rate by a polynomial function. Ill-conditioning of the normal equations is avoided by using orthogonal functions. The use of the method is illustrated by means of examples, using simulated data.

Key words

numerical deconvolution linear systems analysis calculation of drug input rates calculation ofin vivo dissolution rates polynomials orthogonal functions leasts-quares fitting 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    D. J. Cutler. Numerical deconvolution by least squares: Use of prescribed input functions.J. Pharmacokm. Biopharm. 6:227–241 (1978).CrossRefGoogle Scholar
  2. 2.
    G. E. Forsythe. Generation and use of orthogonal polynomials for data fitting with a digital computer.J. Soc. Indust. Appl. Math. 5: 74–88 (1957).CrossRefGoogle Scholar
  3. 3.
    J. Gamel, W. F. Rousseau, C. R. Katholi, and E. Messel. Pitfalls in digital computation of the impulse response of vascular beds from indicator-dilution curves.Circ. Res. 32: 516–523 (1973).PubMedCrossRefGoogle Scholar
  4. 4.
    J. G. Hayes. Curve fitting by polynomials in one variable. In J. G. Hayes (ed.),Numerical Approximation to Functions and Data, Athlone Press, New York, 1970, Chap. 5.Google Scholar

Copyright information

© Plenum Publishing Corporation 1978

Authors and Affiliations

  • David J. Cutler
    • 1
  1. 1.Department of Pharmaceutics, The School of PharmacyUniversity of LondonLondon WC 1England

Personalised recommendations