Mathematical modeling of chronical hypoxia in tumors considering potential doubling time and hypoxic cell lifetime

Radiotherapy and Oncology

Volumn 54, Issue 2, 2000, Pages 171-177

  Måseide, Kårstein ^a   Rofstad, Einar K ^a  

^a OSLO UNIVERSITY HOSPITAL   (Norway)

Author keywords

Cell proliferation; Hypoxic fraction; Oxygen diffusion; pO2; T(pot); Tumor oxygenation

Indexed keywords

ARTICLE; CELL VIABILITY; HISTOLOGY; HYPOXIA; HYPOXIC CELL; MATHEMATICAL MODEL; PRIORITY JOURNAL; TISSUE OXYGENATION; TUMOR CELL;

ANOXIA; CAPILLARIES; CELL DIVISION; CHRONIC DISEASE; HUMANS; MODELS, THEORETICAL; NECROSIS; NEOPLASMS; OXYGEN;

EID: 0342470944     PISSN: 01678140     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-8140(99)00154-1     Document Type: Article

References (44)

1. pot. Int. J. Radiat. Oncol. Biol. Phys. 32:1995;1539-1541.
2. Begg A.C., Haustermans K., Hart A.A.M., et al. The value of pretreatment cell kinetic parameters as predictors for radiotherapy outcome in head and neck cancer: a multicenter analysis. Radiother. Oncol. 50:1999;13-23.
3. Brizel D.M., Rosner G.L., Prosnitz L.R., Dewhirst M.W. Patterns and variability of tumor oxygenation in human soft tissue sarcomas, cervical carcinomas, and lymph node metastases. Int. J. Radiat. Oncol. Biol. Phys. 32:1995;1121-1125.
4. Brizel D.M., Scully S.P., Harrelson J.M., et al. Tumor oxygenation predicts for the likelihood of distant metastases in human soft tissue sarcoma. Cancer Res. 56:1996;941-943.
5. Brizel D.M., Sibley G.S., Prosnitz L.R., Scher R.L., Dewhirst M.W. Tumor hypoxia adversely affects the prognosis of carcinoma of the head and neck. Int. J. Radiat. Oncol. Biol. Phys. 38:1997;285-289.
6. Coleman C.N. Hypoxia in tumors: a paradigm for the approach to biochemical and physiologic heterogeneity. J. Natl. Cancer Inst. 80:1988;310-317.
7. Degner F.L., Sutherland R.M. Mathematical modeling of oxygen supply and oxygenation in tumor tissues: prognostic, therapeutic, and experimental implications. Int. J. Radiat. Oncol. Biol. Phys. 15:1988;391-397.
8. Durand R.E., Sham E. The lifetime of hypoxic human tumor cells. Int. J. Radiat. Oncol. Biol. Phys. 42:1998;711-715.
9. Fenton B.M., Gayeski T.E.J. Determination of microvascular oxyhemoglobin saturations using cryospectrophotometry. Am. J. Physiol. 259:1990;H1912-H1920.
10. 2 saturations. Radiat. Res. 141:1995;49-56.
11. Fyles A.W., Milosevic M., Wong R., et al. Oxygenation predicts radiation response and survival in patients with cervix cancer. Radiother. Oncol. 48:1998;149-156.
12. Groebe K., Vaupel P. Evaluation of oxygen diffusion distances in human breast cancer xenografts using tumor-specific in vivo data: role of various mechanisms in the development of tumor hypoxia. Int. J. Radiat. Oncol. Biol. Phys. 15:1988;691-697.
13. pot? Radiother. Oncol. 46:1998;157-167.
14. Heacock C.S., Sutherland R.M. Enhanced synthesis of stress proteins caused by hypoxia and relation to altered cell growth and metabolism. Br. J. Cancer. 62:1990;217-225.
15. Hirst D.G., Denekamp J., Hobson B. Proliferation kinetics of endothelial and tumour cells in three mouse mammary carcinomas. Cell Tissue Kinet. 15:1982;251-261.
16. 2 predicts survival in advanced cancer of the uterine cervix. Ratiother. Oncol. 26:1993;45-50.
17. 2 tension measurements. Cancer Res. 51:1991;6098-6102.
18. Høyer M., Jorgensen K., Bundsgaard T., et al. Lack of predictive value of potential doubling time and iododeoxyuridine labelling index in radiotherapy of squamous cell carcinoma of the head and neck. Radiother. Oncol. 46:1998;147-155.
19. Kennedy A.S., Raleigh J.A., Perez G.M., et al. Proliferation and hypoxia in human squamous cell carcinoma of the cervix: first report of combined immunohistochemical assays. Int. J. Radiat. Oncol. Biol. Phys. 37:1997;897-905.
20. Krogh A. The number and distribution of capillaries in muscles with calculations of the oxygen pressure head necessary for supplying the tissue. J. Physiol. 52:1919;409-415.
21. Måseide K., Rofstad E.K. CCD imaging in cryospectrophotometric determination of microvascular oxyhemoglobin saturations. Am. J. Physiol. 273:1997;H2910-H2918.
22. Mueller-Klieser W. Method for the determination of oxygen consumption rates and diffusion coefficients in multicellular spheroids. Biophys. J. 46:1984;343-348.
23. Moulder J.E., Rockwell S. Hypoxic fractions of solid tumors: experimental techniques, methods of analysis, and a survey of existing data. Int. J. Radiat. Oncol. Biol. Phys. 10:1984;695-712.
24. Nordsmark M., Bentzen S.M., Overgaard J. Measurement of human tumour oxygenation status by a polarographic needle electrode. Acta Oncol. 33:1994;383-389.
25. Nordsmark M., Høyer M., Keller J., Nielsen O.S., Myhre Jensen O., Overgaard J. The relationship between tumor oxygenation and cell proliferation in human soft tissue sarcomas. Int. J. Radiat. Oncol. Biol. Phys. 35:1996;701-708.
26. Nordsmark M., Overgaard M., Overgaard J. Pretreatment oxygenation predicts radiation response in advanced squamous cell carcinoma of the head and neck. Radiother. Oncol. 41:1996;31-39.
27. Rofstad E.K., Måseide K. Fraction of radiobiologically hypoxic cells in human melanoma xenografts measured by using single-cell survival, tumour growth delay and local tumour control as end points. Br. J. Cancer. 78:1998;893-898.
28. Sasaki T., Sato Y., Sakka M. Cell population kinetics of human solid tumors: a statistical analysis in various histological types. Gann. 71:1980;520-529.
29. Schultz-Hector S., Begg A.C., Hofland I., Kummermehr J., Sund M. Cell kinetic analysis of murine squamous cell carcinomas: a comparison of single versus double labelling using flow cytometry and immunohistochemistry. Br. J. Cancer. 68:1993;1097-1103.
30. Secomb T.W., Hsu R., Dewhirst M.W., Klitzman B., Gross J.F. Analysis of oxygen transport to tumor tissue by microvascular networks. Int. J. Radiat. Oncol. Biol. Phys. 25:1993;481-489.
31. Secomb T.W., Hsu R., Ong E.T., Gross J.F., Dewhirst M.W. Analysis of the effects of oxygen supply and demand on hypoxic fraction in tumors. Acta Oncol. 34:1995;313-316.
32. Stone H.B., Brown J.M., Phillips T.L., Sutherland R.M. Oxygen in human tumors: correlations between methods of measurement and response to therapy. Radiat. Res. 136:1993;422-434.
33. Sundfør K., Lyng H., Rofstad E.K. Tumour hypoxia and vascular density as predictors of metastasis in squamous cell carcinoma of the uterine cervix. Br. J. Cancer. 78:1998;822-827.
34. Tannock I.F. Oxygen diffusion and the distribution of cellular radiosensitivity in tumours. Br. J. Radiol. 45:1972;515-524.
35. Tannock I. Oxygen distribution in tumours: influence on cell proliferation and implications for tumour therapy. Adv. Exp. Med. Biol. 75:1976;597-603.
36. Teicher B.A. Hypoxia and drug resistance. Cancer Metastasis Rev. 13:1994;139-168.
37. Thomlinson R.H., Gray L.H. The histological structure of some human lung cancers and the possible implications for radiotherapy. Br. J. Cancer. 9:1955;539-549.
38. Tsang R.W., Wong C.S., Fyles A.W., et al. Tumour proliferation and apoptosis in human uterine cervix carcinoma II: correlations with clinical outcome. Radiother. Oncol. 50:1999;93-101.
39. Vaupel P. Oxygen supply to malignant tumors. Peterson H.-I. Tumor blood circulation: angiogenesis, vascular morphology and blood flow of experimental and human tumors. 1979;143-168 CRC Press, Boca Raton, FL.
40. Vaupel P., Kallinowski F., Okunieff P. Blood flow, oxygen and nutrient supply, and metabolic microenvironment of human tumors: a review. Cancer Res. 49:1989;6449-6465.
41. 2 tension measurements. Cancer Res. 51:1991;3316-3322.
42. Wilson G.D. Assessment of human tumour proliferation using bromodeoxyuridine-current status. Acta Oncol. 30:1991;903-910.
43. Wong R.K.W., Fyles A., Milosevic M., Pintilie M., Hill R.P. Heterogeneity of polarographic oxygen tension measurements in cervix cancer: an evaluation of within and between tumor variability, probe position, and track depth. Int. J. Radiat. Oncol. Biol. Phys. 39:1997;405-412.
44. Wouters B.G., Brown J.M. Cells at intermediate oxygen levels can be more important than the 'hypoxic fraction' in determining tumor response to fractionated radiotherapy. Radiat. Res. 147:1997;541-550.