Skip to main content

Developing and Testing Integrated Multicompartment Models to Describe a Single-Input Multiple-Output Study Using the SAAM II Software System

  • Chapter
Mathematical Modeling in Experimental Nutrition

Part of the book series: Advances in Experimental Medicine and Biology ((AEMB,volume 445))

Abstract

As measurement devices become more sophisticated, it is possible to design more complex input-output studies, i.e., studies where data are obtained from several sites in the system under study. To interpret the resulting data requires models which can integrate known information about the system under study while simultaneously describing the data. In this chapter, we will illustrate how to develop and test a model structure for a single-input multiple-output study using the SAAM II software system. This system has been designed to make the use of sound modeling principles easy.

It will be assumed that a known amount of a radiolabeled substance was injected as a bolus into plasma, that this substance can bind to and be taken up by red cells, that its. only route of elimination is through the urine, and that external measurements are possible over a target organ. The steps in developing a model structure will make use of SAAM II’s forcing function capability to show how the system can be decoupled; this will permit us to postulate model structures for the various subsystems accessible to measurement. We will then show how to use this information to postulate a model describing all the data, and how to test this model structure. This will permit us to comment on those parts of the system not accessible for experimental measurement. We will end with a general discussion of how to test for goodness-of-fit and model order.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Audoly S; D’Angio’ L; Saccomani MP; Cobelli C. Global identifiability of linear compartmental models: A computer algebra algorithm. IEEE Trans Biomed Engr, 1998, 45(1):36–47.

    Article  CAS  Google Scholar 

  • Bates DM; Watts DG. Nonlinear Regression and its Application. John Wiley and Sons: New York. 1988.

    Book  Google Scholar 

  • Bell BM; Burke JV; Schumitzky A. A relative weighting method for estimating parameters and variances in multiple data sets. Comput Stat and Data Anal, (in press).

    Google Scholar 

  • Carson ER; Cobelli C; Finkelstein L. The Mathematical Modeling of Metabolic and Endocrine Systems. John Wiley and Sons: New York. 1983.

    Google Scholar 

  • Cobelli C; Foster DM. Compartmental models: Theory and practices using the SAAM II software system. (this volume).

    Google Scholar 

  • Dixon WJ; Massey Jr FJ. Introduction to Statistical Analysis. McGraw-Hill: New York. 1969.

    Google Scholar 

  • Foster DM; Aamodt RL; Henkin RI; Berman M. Zinc metabolism in humans: A kinetic model. Am J Phys, 1979, 237:R340–R349.

    CAS  Google Scholar 

  • Foster DM; Boston RC. The use of computers in compartmental analysis: The SAAM and CONSAM programs, in: Compartmental Distribution of Radiotracers. Robertson JS; Ed. CRC Press: Boca Raton, FL. 1983.

    Google Scholar 

  • Neter J; Wasserman W. Applied Linear Statistical Models. R. D. Irwin, Inc.: Homewood, IL. 1974.

    Google Scholar 

  • SAAM II User Guide. SAAM Institute: Seattle, WA. 1997.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1998 Springer Science+Business Media New York

About this chapter

Cite this chapter

Foster, D.M. (1998). Developing and Testing Integrated Multicompartment Models to Describe a Single-Input Multiple-Output Study Using the SAAM II Software System. In: Clifford, A.J., Müller, HG. (eds) Mathematical Modeling in Experimental Nutrition. Advances in Experimental Medicine and Biology, vol 445. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-1959-5_4

Download citation

  • DOI: https://doi.org/10.1007/978-1-4899-1959-5_4

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4899-1961-8

  • Online ISBN: 978-1-4899-1959-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics