Capillary Spatial Pattern and Muscle Fiber Geometry in Three Hamster Striated Muscles

  • R. A. O. Bennett
  • R. N. Pittman
  • S. M. Sullivan
Part of the Advances in Experimental Medicine and Biology book series (AEMB, volume 248)


The maintenance of an adequate tissue oxygen tension is a principal function of the respiratory and circulatory systems. In 1919, Krogh presented a mathematical model that described the diffusion of oxygen from capillaries to the surrounding tissue (Krogh, 1919). This was the first model to relate oxygen diffusion and capillary spacing within muscles and the first to quantify the relationship between the rate of delivery of the oxygen to various sites in the tissue to the rate of consumption of oxygen at those sites. Determinants of tissue oxygen tension include the PO2 of blood, blood flow, red blood cell spacing, diameter of microvessels, hemoglobin oxygen saturation, as well as the spatial pattern of capillaries within the tissue. Krogh’s model assumes homogeneity in the composition of blood and muscle tissue, uniform consumption of oxygen at every point in the tissue, and a uniform and radial movement of oxygen outward from the center of a capillary into the surrounding tissue independent of oxygen diffusion from all other capillaries within the tissue. Since the model neglects the intrinsic heterogeneities of capillary spacing and shape of the muscle fibers, it fails to characterize completely the movement of oxygen from the hemoglobin in the red blood cells to the sites of oxygen utilization in muscle tissue.


Fiber Type Soleus Muscle Poisson Point Process Complete Spatial Randomness Retractor Muscle 


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Copyright information

© Plenum Press, New York 1989

Authors and Affiliations

  • R. A. O. Bennett
    • 1
  • R. N. Pittman
    • 1
  • S. M. Sullivan
    • 1
  1. 1.Department of PhysiologyMedical College of Virginia Virginia Commonwealth UniversityRichmondUSA

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