Transients of Gas Exchange Processes in the Upper Skin Calculated by the Capillary Loop Model

  • U. Grossmann
  • P. Winkler
Part of the Advances in Experimental Medicine and Biology book series (AEMB, volume 180)


The use of transcutaneous PO2 measuring techniques in clinics induces an enhanced need to understand the oxygen exchange processes within the upper skin. Several authors (Eberhard, 1976; Quinn, 1978; Lübbers, 1979; Thunstrom et al., 1979) used the combined approach of a Krogh model for stratum papillare and a layer model for epidermis to analyze the oxygen exchange processes within this part of the skin. The capillary loop model (Grossmann et al., 1980; Grossmann, 1982) was developed to simulate steady states of oxygen exchange within the upper skin. This model has the advantage of taking into account the loop shaped capillary structure of stratum papilläre and the nonlinear effects of the binding of oxygen by hemoglobin. In order to simulate processes varying with time we modified this steady state model. The numerical treatment of the basic parabolic initial boundary value problem was performed by the “Hopscotch”-method. The following sections show a short review of the model, a presentation of the method and some results.


Steady State Model Breathing Oxygen Original Article Series Stop Blood Flow Oxygen Exchange Process 
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Copyright information

© Plenum Press, New York 1984

Authors and Affiliations

  • U. Grossmann
    • 1
  • P. Winkler
    • 1
  1. 1.Max-Planck-Institut für SystemphysiologieDortmund 1Germany

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