Radiobiological investigations at tumor cell lines by exploiting aspects of chronological dose administration

Waldemar Ulmer


Purpose: Using 31P-NMR spectroscopy the chronological behavior of the ATP-metabolism of the tumor spheroids C3H-MA, 9L-Gliome and the mono-layer L1210 has been analyzed via increase and decrease of the β-peak. The goal of this study is to elaborate an optimal fractionation scheme with regard to the irradiation of tumor spheroids and possibly to human tumors.  

Methods: The NMR-spectroscopy has been carried out by the FID technique (free induction decay), and the intensity of the β-peak provides a measure of the survival fraction S after radiation exposure with 30 kV X-rays. The linear-quadratic model has to be generalized in order to be valid for irradiation beyond the shoulder.

Results and Conclusion: All three cell lines show characteristic periods, and a homeostatic control cannot be recognized. Essential components of these periods are circadian (i.e. one day), circa-semiseptan (i.e. 3.5 days) and circa-septan (i.e. one week). The determination of the survival fractions provides an optimum exploitation of radiation damages, when the ATP-concentration assumes a maximum value. This optimum is reached, when all three cycles exhibit an ATP maximum, which is only possible by accounting for the circa-septan rhythm.


Cite this article as: Ulmer W. Radiobiological investigations at tumor cell lines by exploiting aspects of chronological dose administration. Int J Cancer Ther Oncol 2014; 2(3):020312. DOI:10.14319/ijcto.0203.12



31P-NMR Spectroscopy; Biorhythms; Tumor Spheroids; Radiobiology

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Wideroe H. Problems of fractionations. Strahlentherapie & Onkologie 1979; 155: 666 – 71.

Withers HR. Some changes in concept of dose fractionation over 20 years. Front Radiat Therapy Oncol 1988; 22: 1-3.

Schweiger H, Berger S, Kretschmer H, et al. Evidence for a circaseptan and circasemiseptan growth respons to light/dark cycle shifts in nucleated and enucleated Acetabularia cells. Proc Nat Acad Science USA 1986; 83: 8619–23.

Halberg F, Halberg J, Halberg E, Halberg F. Chronobiology, radiobiology and steps toward the timing of cancer radiotherapy. In: Kaiser, H., Goldson, A. (eds.) Cancer Growth and Progression. Dordrecht Kluwer Academic Publishers 1989; 9: 227–53.

Ulmer W. Experimentelle und theoretische Untersuchungen zum Wachstum und ATP-Metabolismus von Sphäroiden und ihre Bedeutung für die Computersimulation, Regelungstheorie und Radioonkologie. In: Festschrift Duechting, University of Siegen Press 1999; 77–93.

Ulmer W, Cornélissen G, Halberg F. Physical Chemistry and the Biologic week in the Perspective of Chrono-oncology. In Vivo 1995; 9: 363–74.

Ulmer W. On the role of the interactions of ions with external magnetic fields in physiologic processes and their importance in chronobiology. In Vivo 2002; 16: 31–6.

Ulmer W, Cornélisson G. Coupled electromagnetic circuits and their connection to quantum mechanical resonance interactions and biorhythms. Open journal biophysics 2013, 4: 253–74.

Duechting W, Ulmer W, Ginsberg T. Cancer: a challenge for control theory and computer modelling. Eur J Cancer 1996; 32A: 1283–92.

Duechting W, Ginsberg T, Ulmer W. Modeling of radiogenic responses induced by fractionated irradiation in malignant and normal tissue. Stem Cells 1995; 13/supplement: 30–6.

Ulmer W. Some aspects of the chronological dose distribution in the radiobiology and radiotherapy. Strahlenther Onkol 1986; 162: 374–86.

Stamatakos GS. In silico oncology: a paradigm for clinically oriented living matter engineering. Proc. 3rd International Advanced Research Workshop on In Silico Oncology, Istanbul, Turkey, 2008; 23-24. Edited by Stamatakos G, Dionysiou D. [Available from ].

Stamatakos GS, Kolokotroni E, Dionysiou D, Georgiadi E, Giatili S. In silico oncology: a topdown multiscale simulator of cancer dynamics. Studying the effect of symmetric stem cell division on the cellular constitution of a tumor. Proc. 11th Int Congress of the IUPESM, Medical Physics and Biomedical Engineering World Congress 2009; 7-12.


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