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Optimal arterial blood pressure.

M A Khanin1, I B Bukharov

  • 1Biomedical Cybernetics Research Council, Academy of Medical Sciences of U.S.S.R., Moscow.

Journal of Theoretical Biology
|February 7, 1991
PubMed
Summary

This study presents a mathematical model of the circulatory system based on minimum power expenditure. It determines mean arterial blood pressure using oxygen transport and activity levels, validated against human data.

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Area of Science:

  • Physiology
  • Biophysics
  • Mathematical Modeling

Background:

  • The circulatory system's energy consumption is complex.
  • Understanding energy optimization is key to physiological regulation.

Purpose of the Study:

  • To develop a mathematical model of the circulatory system based on the principle of minimum power.
  • To determine mean arterial blood pressure as a function of oxygen transport and locomotor activity.

Main Methods:

  • Formulation of an optimization model minimizing power expenditure.
  • Calculation of power for heart, bone marrow, and blood transport.
  • Determination of mean arterial blood pressure based on physiological parameters.

Main Results:

  • A novel mathematical model for the circulatory system's functional state.
  • Mean arterial blood pressure is predicted based on oxygen demand and physical activity.
  • Theoretical predictions align with experimental data in humans.

Conclusions:

  • The principle of minimum power provides a valid framework for modeling circulatory function.
  • The model successfully predicts mean arterial blood pressure under varying physiological conditions.
  • This approach offers insights into the energetic efficiency of the human circulatory system.

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