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Compartmental models: theory and practice using the SAAM II software system

C Cobelli1, D M Foster

  • 1Department of Electronics and Informatics, University of Padua, Italy.

Advances in Experimental Medicine and Biology
|October 22, 1998
PubMed
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Mathematical modeling, specifically deterministic compartmental models, is essential for understanding whole-body metabolic systems. This approach uses ordinary differential equations to represent dynamic biological processes, aiding research in endocrinology and metabolism.

Area of Science:

  • Physiology
  • Mathematical Biology
  • Biophysics

Background:

  • Understanding in vivo metabolic system function requires mathematical models.
  • Models can be deterministic or stochastic, dynamic or static, with lumped or distributed parameters.
  • Metabolic systems are dynamic, making differential equation models crucial.

Purpose of the Study:

  • To discuss the theory of compartmental models.
  • To explain their application in understanding metabolic systems.
  • To introduce the SAAM II software for model development and testing.

Main Methods:

  • Focus on deterministic compartmental models, a widely used class of dynamic models.
  • These models are based on the principle of conservation of mass.

Related Experiment Videos

  • They utilize ordinary differential equations to describe systems with a finite number of variables.

    • Main Results:

    • Compartmental models formalize physical intuition in a simple and reasonable manner.
    • Deterministic versions allow for exact relationships between model variables.
    • These models are extensively used in endocrinology and metabolism studies.

    Conclusions:

    • Compartmental models provide a robust framework for studying metabolic systems.
    • The SAAM II software facilitates the development and validation of these models.
    • This approach is vital for advancing research in endocrinology and metabolism.