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Optimal Structure of the Circulatory System: Influence of the Energetics of Vascular Smooth Muscles

Author

Listed:
  • M.A. Khanin

    (Center for Theoretical Problems of Physical and Chemical Pharmacology, Russian Academy of Sciences)

  • I.B. Bukharov

    (Center for Theoretical Problems of Physical and Chemical Pharmacology, Russian Academy of Sciences)

Abstract

Based on the principle of minimum energy expenditure, a mathematical model of the structure of the circulatory system is presented. The energy expended by the vascular smooth muscles is taken into account, and the vascular smooth muscle efficiency is considered. The optimal vascular blood volume is determined depending on the generation parameters in the systemic circulation. Theoretical results are compared with experimental data for man. The model describes the branching pattern of vascular trees more adequately than other existing models.

Suggested Citation

  • M.A. Khanin & I.B. Bukharov, 2003. "Optimal Structure of the Circulatory System: Influence of the Energetics of Vascular Smooth Muscles," Journal of Optimization Theory and Applications, Springer, vol. 116(2), pages 347-357, February.
    • Handle: RePEc:spr:joptap:v:116:y:2003:i:2:d:10.1023_a:1022462021817
    DOI: 10.1023/A:1022462021817
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