0000000000352582
AUTHOR
K. Groebe
Evaluation of Oxygen Diffusion Distances in Human Breast Cancer Using Cell Line Specific in Vivo Data: Role of Various Pathogenetic Mechanisms in the Development of Tumor Hypoxia
Radiobiological hypoxia in malignant tumors has been shown to originate (i) from spatial and temporal functional disturbances of tumor microcirculation resulting in a limited convective O2 flux in microregions even in tissue areas exhibiting high vascular densities, and (ii) from morphological abnormalities of the microcirculatory bed leading to a limitation of the diffusive O2 flux. In addition to these pathogenetic mechanisms, systemic factors (anemia, arterial hypoxia) can also play a role in the development of tumor hypoxia.
An easy-to-use model for O2 supply to red muscle. Validity of assumptions, sensitivity to errors in data
An easy-to-use capillary cylinder model of O2 supply to muscle is presented that considers all those factors that are known to be most important for realistic results: (1) red blood cell (RBC) O2 unloading along the capillary, (2) effects of the particulate nature of blood, (3) free and hemoglobin-facilitated O2 diffusion and reaction kinetics inside RBCs, (4) free and myoglobin-facilitated O2 diffusion inside the muscle cell, and (5) carrier-free region separating RBC and tissue. In a first approach, a highly simplified yet reasonably accurate treatment of the complex three-dimensional oxygen diffusion field in and next to capillaries is employed. As an alternative, a more realistic descri…
A versatile model of steady state O2 supply to tissue. Application to skeletal muscle
A model of combined convective and diffusive O2 transport to tissue is suggested which allows for the calculation of PO2 distributions in a cuboid tissue region with arbitrary microvascular geometries and blood flows. Carrier-facilitated O2 diffusion in the erythrocytes and in the tissue and red blood cell reaction kinetics are considered. The model is based on analytical descriptions of the PO2 fields of single erythrocytes surrounded by carrier-free layers in an infinite three-dimensional space containing an O2 carrier such as myoglobin. These PO2 fields are overlaid to obtain a solution of the differential equation of diffusion in respiring tissue. The model has been applied to a situati…
Role of geometry and anisotropic diffusion for modelling PO2 profiles in working red muscle
A 3-dimensional analytical model of O2 diffusion in heavily working muscle is proposed which considers anisotropic, myoglobin (Mb)-facilitated O2 diffusion inside the muscle fiber and a carrier-free layer separating erythrocytes and fiber. The model is used to study the effects of some commonly applied simplifying assumptions (reduced dimensionality, neglected anisotropy) on the resulting PO2 distributions: (1) In order not to underestimate PO2 drops near erythrocytes, modelling O2 transport in 3 dimensions is important. (2) For a capillary-to-fiber ratio of 1, the results from the 2-dimensional version of the present model and from a Krogh-type model which incorporates a carrier-free layer…
Effects of Red Cell Spacing and Red Cell Movement Upon Oxygen Release Under Conditions of Maximally Working Skeletal Muscle
The impacts of the particulate nature of blood upon capillary O 2 release have been studied extensively by Federspiel and Sarelius [8] and by Federspiel and Popel [9]. The latter authors found that the O 2 flux out of a capillary decreases rapidly as intracapillary red blood cell spacing increases. The O 2 flux out of a single RBC, however, is enhanced as long as the inter-erythrocytic plasma gap does not exceed the “zone-of-influence” of a single RBC, which they determined to be about 1 capillary diameter. In their model, they considered spherical red cells contained in a cylindrical tube filled with plasma, on the lateral surface of which a boundary Po 2 was specified. Based on earlier st…