GROWTH KINETICS OF MULTICELLULAR TUMOR SPHEROIDS: ANALYSIS BY MATHEMATICAL MODELLING

  • G. Solyanik R.E. Kavetsky Institute of Experimental Pathology, Oncology and Radiobiology, National Academy of Sciences of Ukraine
Keywords: mathematical modeling

Abstract

Effect of oxygen and glucose on the cellular heterogeneity and growth kinetics of multicellulat tumor spheroids has been analyzed by a mathematical model. The model takes into account the processes of cell division, death and transition from proliferation to rsst in which oxygen and glucose are considered as nonspecific regulatory factors of cell viability. The model was used to analyze growth kinetics and cellular heterogeneity of EMT6/Ro murine mammary carcinoma cell spheroids growing under the standard conditions. The model gives a good representation of growth kinetics and oxygen distribution in spheroids and allows to study the proliferative heterogeneity of their cells. The comparison of model predictions with experimental data showed, that oxygen consumption rate per cell estimated theoretically more than 4 times lower as that measured experimentally.

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Author Biography

G. Solyanik, R.E. Kavetsky Institute of Experimental Pathology, Oncology and Radiobiology, National Academy of Sciences of Ukraine

 45 Vasil'kovskaya Str., Kiev, 232022, Ukraine

References

1. Tong J.Z., Sarrazin S., Cassio D., Gauthier F., Alvarez F. // Biol.of Cell. 1994. 81. 77 c.


2. Groebe K., Muller-Klieser W. // lnt.J.Radiat.Oncol.,Biol.,Physics. 1996. V.34. P.395.


3. Gorlach A., Bolling В., Holtermann G., Schwachofer J., Carlsson J., Acker H. //Int.J.Oncol. 1995.V.7.P.831.


4. Franko A.J., Koch C.J., Boisvert P.J. // Cancer Res. 1992. V.25.P. 3831.


5. Freyer J.P., Sutherland R.M. // Cancer Res. 1986. V.46.P. 3513.


6. Steeg P.S., Alley M.C., Grever M.R. // J.of the Nat.Cancer Inst. 1994. V.86.P. 953.


7.Freitas I. & Baronzio G.F. // Anticancer Res. 1994. V.14.P. 1097-1102.


8. Weibull W., Sweden S. // J. Appl. Mech. 1951 .V. 18. P.293-297.


9. Li C.K.N. // Cancer. 1982. V.50. P. 2066-2073.


10. Casciari J.J., Sotirchos S.V., Sutherland R.M.// Cell Prolif.1992.V.25.P. 1 -22.

11 .Solyanik G., Berezetskaya N., Bulkiewicz R., Kulik G. // Cell Prolif. 1995. V.28. P. 263 -278.


12.Freyer J.P., Sutherland R.M. // Cancer Res. 1986. V.46. P. 3504.


13.Hlatky L.,Sachs R.K.,Ring C. S. // Br. J. Cancer .1989. V.59. P. 375-380.


14.Thews G., Hutten H. Biophysics of respiratory gas transport. ln:Biophysics.W.Hoppe, H.Lohmann, H.Markl, H.Ziegler, eds. Springer-Verlag, Berlin. 1983.P. 503.


15.Landry J, Freyer J.P., Sutherland R.M.// Cell Tissue Kin. 1982.V.15.P. 585.

16.Freyer J.P., Sutherland R.M. // J.Cell Physiol. 1985. V.154. P. 516.
Cited
How to Cite
Solyanik, G. (1). GROWTH KINETICS OF MULTICELLULAR TUMOR SPHEROIDS: ANALYSIS BY MATHEMATICAL MODELLING. Biophysical Bulletin, 1(1). Retrieved from https://periodicals.karazin.ua/biophysvisnyk/article/view/2048
Section
Biophysics of complex systems