Summary
The O2 diffusion constants D and K of tumor tissue (DS-Carcinosarcoma in the rat kidney) were determined at temperatures of 20, 30, 37, and 40°C. The following mean values were obtained for the conditions of 37°C: D=1.75·10−5 cm2/s and K=1.9·10−5 mlO2/cm·min·atm. Within the range of 20–40°C, temperature variations in tumor tissue cause changes in the O2 diffusion coefficient D of 2.0–2.5%/°C and in the Krogh O2 diffusion constant K of 0.5–1.5%/°C. The measured O2 diffusion constants for tumor tissue correspond to values of normal tissue with similar water content. This indicates that the insufficient O2 supply in DS-Carcinosarcoma is due not to unfavorable O2 diffusivity of the tumor tissue but rather to a decreased convective O2 transport and to insufficient capillarization. An analysis of O2 diffusion in DS-Carcinosarcoma tissue using the determined O2 diffusion constants lead to the result that, under the conditions of arterial normoxia and normocapnia, critical O2 supply conditions are to be expected when the intercapillary distance exceeds approximately 120 μm.
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References
Aisenberg, A. C.: The glycolysis and respiration of tumors. New York-London: Academic Press (1961)
Bässler, K. H., Vaupel, P.: Personal communication
Cater, D. B.: Oxygen tension in neoplastic tissues. Tumori50, 435–444 (1964)
Cater, D. B., Silver, I. A.: Quantitative measurements of oxygen in normal tissues and in the tumors of patients before and after radiotherapy. Acta Radiol. (Stockh.)53, 233–256 (1960)
Diem, K., Leutner, C.: Wissenschaftliche Tabellen Documenta Geigy, 7. Auf. Stuttgart: Thieme 1975
Ganfield, R. A., Nair, P., Whalten, W. J.: Mass transfer, storage, and utilization of O2 in cat cerebral cortex. Am. J. Physiol.219, 814–821 (1970)
Gertz, K. H., Loeschcke, H. H.: Bestimmung der Diffusions-Koeffizienten von H2, O2, N2 und He in Wasser und Blutserum bei konstant gehaltener Konvektion. Z. Naturforsch.9b, 1–9 (1954)
Goldstick, T. K., Ciuryla, V. T., Zuckerman, L.: Diffusion of oxygen in plasma and blood. In: Oxygen transport to tissue-II (J. Grote, D. Reneau and G. Thews, eds.), Adv. exp. Med. Biol., vol. 75, pp. 183–190. New York-London: Plenum Press 1976
Gonsalvez, M., Weinhouse, S.: Control mechanisms of oxygen and glucose utilization in tumors. In: Oxygen transport to tissue-II (J. Grote, D. Reneau and G. Thews, eds.), Adv. exp. Med. Biol., vol. 75, 587–596. New York-London: Plenum Press 1976
Greven, K.: Der O2-Diffusionskoeffizient von Leber, Nierenrinde und Hirnrinde unter verschiedenen Bedingungen. Pflügers Arch. ges. Physiol.271, 14–22 (1960)
Grote, J.: Die Sauerstoffdiffusionskonstanten im Lungengewebe und Wasser und ihre Temperaturabhängigkeit. Pflügers Arch. ges. Physiol.295, 245–254 (1967)
Grote, J.: Die Bestimmng der Sauerstoffbindungskurve in hochverdünnten Hämoglobinlösungen. Pflügers Arch. ges. Physiol.296, 202–211 (1967)
Grote, J., Thews, G.: Die Bedingungen für die Sauerstoffversorgung des Herzmuskelgewebes. Pflügers Arch. ges. Physiol.276, 142–165 (1962)
Grote, J., Süsskind, R., Vaupel, P.: The oxygen diffusion coefficients of tumor tissue (DS-Carcinosaroma) at 37°C and 40°C. Pflügers Arch.347, R41 (1974)
Gullino, P. M.: In vivo utilization of oxygen and glucose by neoplastic tissue. In: Oxygen transport to tissue-II (J. Grote, D. Reneau and G. Thews, eds.), Adv. exp. Med. Biol. vol. 75, pp. 521–536. New York-London: Plenum Press 1976
Gullino, P. M., Grantham, F. H.: Studies on the exchange of fluids between host and tumor. I. A method for growing “tissue-isolated” tumors in laboratory animals. J. Nat. Cancer Inst.27, 679–693 (1961)
Himmelblau, D. M.: Diffusion of dissolved gases in liquids. Chem. Rev.64, 527–550 (1964)
Kawashiro, T., Nüsse, W., Scheid, P.: Determination of diffusivity of oxygen and carbon dioxide in respiring tissue: Results in rat skeletal muscle. Pflügers Arch.359, 231–251 (1975)
Kirk, J. E., Laursen, T. J. S.: Diffusion coefficients of various solutes for human aortic tissue. With special reference to variation in tissue permeability with age. J. Gerontol.10, 288–302 (1955)
Kreuzer, F.: Über die Diffusion von Sauerstoff in Serumeiweißlösungen verschiedener Konzentration. Helv. Physiol. Pharmacol. Acta8, 505–516 (1950)
Krogh, A.: The rate of diffusion of gases through animal tissue with some remarks on the coefficient of invasion. J. Physiol. (Lond.)52, 391–408 (1918/1919)
Krogh, A.: The number and distribution of capillaries in muscles with calculations of the oxygen pressure head necessary for supplying the tissue. J. Physiol. (Lond.)52, 409–415 (1918/1919)
Pütter, J.: Der Glucosestoffwechsel bei bösartigen Tumoren In: D-Glucose und verwandte Verbindungen in Medizin und Biologie (H. Barthelheimer, W. Heyde und W. Thorn, eds.), pp. 988–1042. Stuttgart: F. Enke 1966
Reinhold, H. S.: Improved microcirculation in irradiated tumours. Eur. J. Cancer7, 273–280 (1971)
Reneau, D. D., Bruley, D. F., Knisely, M. H.: A computer simulation for prediction of oxygen limitations in cerebral gray matter. J. Ass Advan. Med. Instrum.4, 211–223 (1970)
Rieger, F.: Diffusionskoeffizienten und Kapillar-Versorgungsradien des O2- und des Glucosestoffwechsels beim DS-Karzinosarkom. Zur mathematischen in-vivo-Theorie der Begründung des Krebs-Mehrschritt-Therapie-Konzeptes 1973. Arch. Geschwulstforsch.43, 52–55 (1974)
Schwarz, W., Schulz, V., Kersten, M., Wörz, R.,, Vaupel, P.: Durchblutung und Sauerstoffverbrauch gewebsisolierter Impftumoren (DS-Carcinosarkom) in vivo. Z. Krebsforsch.75, 161–173 (1971)
Spector, W. S.: Handbook of biological data. Philadelphia-London: W. B. Saunders Comp. 1956
Stein, T. R., Martin, J. C., Keller, K. H.: Steady-state oxygen transport through red blood cell suspensions. J. Appl. Physiol.31, 397–402 (1971)
Swabb, E. A., Wei, J., Gullino, P. M.: Diffusion and convection in normal and neoplastic tissues. Cancer Res.34, 2814–2822 (1974)
Tannock, I. F.: The relation between cell proliferation and the vascular system in a transplanted mouse mammary tumour. Br. J. Cancer22, 258–273 (1968)
Tannock, I. F.: Oxygen diffusion and the distribution of cellular radiosensitivity in tumours. Br. J. Radiol.45, 515–524 (1972)
Tannock, I. F.: Oxygen distribution in tumors: Influence on cell proliferation and implications for tumour therapy. In: Oxygen transport to tissue-II (J. Grote, D. Reneau and G. Thews, eds.), Adv. exp. Med. Biol., vol. 75, pp. 597–603. New York-London: Plenum Press 1976
Thews, G.: Die Sauerstoffdiffusion im Gehirn. Ein Beitrag zur Frage der Sauerstoffversorgung der Organe. Pflügers Arch. ges. Physiol.271, 197–226 (1960)
Thews, G.: Ein Verfahren zur Bestimmung des O2-Diffusions-koeffizienten, der O2-Leitfähigkeit und des O2-Löslichkeitskoeffizienten im Gehirngewebe. Pflügers Arch. ges. Physiol.271, 227–244 (1960)
Thews, G., Vaupel, P.: O2 supply conditions in tumor tissue in vivo. In: Oxygen transport to tissue-II (J. Grote, D. Reneau and G. Thews, eds.), Adv. exp. Med. Biol. vol. 75, pp. 537–545. New York-London: Plenum Press 1976
Thomlinson, R. H., Gray, L. H.: The histological structure of some human lung cancers and the possible implications for radiotherapy. Br. J. Cancer9, 539–549 (1955)
Vaupel, P.: Atemgasswechsel und Glucosestoffwechsel von Implantationstumoren (DS-Carcinosarkom) in vivo. Experimentelle Untersuchungen und theoretische Analysen zur Frage der kritischen Sauerstoff- und Glucoseversorgung im Tumorgewebe. In: Funktionsanalyse biologischer Systeme (G. Thews, ed.), vol. 1. Wiesbaden: Steiner 1974
Vaupel, P.: Effect of percentual water content in tissue and liquids on the diffusion coefficient of O2, CO2, and H2. Pflügers Arch.361, 201–204 (1976)
Vaupel, P., Günther, H., Grote, J., Aumüller, G.: Atemgaswechsel und Glucosestoffwechsel von Tumoren (DS-Carcinosarkom) in vivo. I. Experimentelle Untersuchungen der versorgungsbestimmenden Parameter. Z. Ges. Exp. Med.156, 283–294 (1971)
Visschedijk, P. J. B. J., Schultz, J. S., Kreuzer, F.: Determination of the diffusion coefficient of oxygen in respiring rat diaphragm. Proc. 15th Dutch Federation Meeting, p. 367 (1974)
Yoshida, F., Ohshima, N.: Diffusivity of oxygen in blood serum. J. Appl. Physiol.21, 915–919 (1966)
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Grote, J., Süsskind, R. & Vaupel, P. Oxygen diffusivity in tumor tissue (DS-Carcinosarcoma) under temperature conditions within the range of 20–40°C. Pflugers Arch. 372, 37–42 (1977). https://doi.org/10.1007/BF00582204
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DOI: https://doi.org/10.1007/BF00582204