Skip to main content
Biophysical Journal logoLink to Biophysical Journal
. 1962 May;2(3):289–316. doi: 10.1016/s0006-3495(62)86856-8

Some Formal Approaches to the Analysis of Kinetic Data in Terms of Linear Compartmental Systems

Mones Berman, Ezra Shahn, Marjory F Weiss
PMCID: PMC1366373  PMID: 13867976

Abstract

A formal approach to the routine analysis of kinetic data in terms of linear compartmental systems is presented. The methods of analysis are general in that they include much of the theory in common use, such as direct solution of differential equations, integral equations, transfer functions, fitting of data to sums of exponentials, matrix solutions, etc. The key to the formalism presented lies in the fact that a basic operational unit—called “compartment”—has been defined, in terms of which physical and mathematical models as well as input and output functions can be expressed. Additional features for calculating linear combinations of functions and for setting linear dependence relations between parameters add to the versatility of this method. The actual computations for the values of model parameters to yield a least squares fit of the data are performed on a digital computer. A general computer program was developed that permits the routine fitting of data and the evolution of models.

Full text

PDF
289

Selected References

These references are in PubMed. This may not be the complete list of references from this article.

  1. AYERS C. R., DAVIS J. O., LIEBERMAN F., CARPENTER C. C., BERMAN M. The effects of chronic hepatic venous congestion on the metabolism of d,1-aldosterone and d-aldosterone. J Clin Invest. 1962 Apr;41:884–895. doi: 10.1172/JCI104545. [DOI] [PMC free article] [PubMed] [Google Scholar]
  2. BERMAN M., SHAHN E., WEISS M. F. The routine fitting of kinetic data to models: a mathematical formalism for digital computers. Biophys J. 1962 May;2:275–287. doi: 10.1016/s0006-3495(62)86855-6. [DOI] [PMC free article] [PubMed] [Google Scholar]
  3. HEARON J. Z. Rate behavior of metabolic systems. Physiol Rev. 1952 Oct;32(4):499–523. doi: 10.1152/physrev.1952.32.4.499. [DOI] [PubMed] [Google Scholar]
  4. ROBERTSON J. S. Theory and use of tracers in determining transfer rates in biological systems. Physiol Rev. 1957 Apr;37(2):133–154. doi: 10.1152/physrev.1957.37.2.133. [DOI] [PubMed] [Google Scholar]
  5. SEGAL S., BERMAN M., BLAIR A. The metabolism of variously C14-labeled glucose in man and an estimation of the extent of glucose metabolism by the hexose monophosphate pathway. J Clin Invest. 1961 Jul;40:1263–1279. doi: 10.1172/JCI104356. [DOI] [PMC free article] [PubMed] [Google Scholar]

Articles from Biophysical Journal are provided here courtesy of The Biophysical Society

RESOURCES