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Related Experiment Videos

Interconnected-tubes model of hepatic elimination

Y G Anissimov1, A J Bracken, M S Roberts

  • 1Department of Mathematics, The University of Queensland, Brisbane, Queensland, 4072, Australia.

Journal of Theoretical Biology
|September 23, 1997
PubMed
Summary

A new interconnected-tubes model enhances hepatic elimination understanding by linking dispersion to flow heterogeneity and sinusoid interconnections. This model estimates an average of 10.3 interconnections in perfused liver preparations.

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Area of Science:

  • Physiology
  • Pharmacokinetics
  • Biomedical Engineering

Background:

  • Hepatic elimination modeling is crucial for drug development and understanding liver function.
  • Existing models like the distributed-tubes model have limitations in capturing complex sinusoidal interactions.
  • Interconnections between liver sinusoids significantly influence solute transport and elimination.

Purpose of the Study:

  • To extend the distributed-tubes model of hepatic elimination by incorporating inter-sinusoidal mixing.
  • To develop a novel interconnected-tubes model for hepatic elimination.
  • To express the dispersion number in terms of physiological parameters.

Main Methods:

  • Formulation of an interconnected-tubes model for hepatic elimination.

Related Experiment Videos

  • Mathematical analysis of the model for two interconnected tubes, yielding an exact solution.
  • Zeroth-order approximation of the model for many strongly interconnected tubes, leading to the convection-dispersion model.
  • Analysis of multiple indicator dilution data from a perfused liver preparation.

    • Main Results:

    • An exact solution was obtained for the two-tube interconnected model.
    • The convection-dispersion model was derived as a zeroth-order approximation for strongly interconnected tubes.
    • The dispersion number was expressed in terms of flow heterogeneity and sinusoid interconnection density.
    • An average of 10.3 interconnections was estimated from perfused liver data.

    Conclusions:

    • The interconnected-tubes model provides a more physiologically relevant framework for hepatic elimination.
    • Flow heterogeneity and sinusoid interconnections are key determinants of the dispersion number.
    • The model offers insights into the boundary conditions of the convection-dispersion model.