Article: Evaluation of continuous labelling data by a practical mathematical method with application to a virus-induced sarcoma of the rat

A simple mathematical function is established which renders the increase of the labelling index during continuous labelling of an exponentially growing tumor. By known values of proliferative fraction, mean cell cycle time and tumor doubling time, the mode and extent of cell loss is determined. Three models for different modes of cell loss are introduced: Model A for cell loss equally affecting proliferative and resting cells; Model B for cell loss predominantly affecting one of the two cell compartments; Model C for cell loss during mitosis. The range of validity of the model function is specified. Experimental data of a Polyoma virus-induced renal sarcoma of the rat provide an example of applicability of the theoretical model.

Citing Articles

Determination of growth kinetics in a renal sarcoma of the rat by double labeling with 14C- and 3H-thymidine.

Lang W, Kienzle S, Georgii A J Cancer Res Clin Oncol. 1983; 105(1):55-61.

PMID: 6833340 DOI: 10.1007/BF00391832.

References

1.

STEEL G, Hanes S . The technique of labelled mitoses: analysis by automatic curve-fitting. Cell Tissue Kinet. 1971; 4(1):93-105. DOI: 10.1111/j.1365-2184.1971.tb01520.x. View

2.

Valleron A, FRINDEL E . Computer simulation of growing cell populations. Cell Tissue Kinet. 1973; 6(1):69-79. DOI: 10.1111/j.1365-2184.1973.tb01595.x. View

3.

Dombernowsky P, Hartmann N . Analysis of variations in the cell population kinetics with tumor age in the L1210 ascites tumor. Cancer Res. 1972; 32(11):2452-8. View

4.

Mendelsohn M . Autoradiographic analysis of cell proliferation in spontaneous breast cancer of C3H mouse. III. The growth fraction. J Natl Cancer Inst. 1962; 28:1015-29. View

5.

Dombernowsky P, Bichel P, Hartmann N . Cytokinetic studies of the regenerative phase in the JB-1 ascites tumour. Cell Tissue Kinet. 1974; 7(1):47-60. DOI: 10.1111/j.1365-2184.1974.tb00398.x. View

6.

Lala P, PATT H . Cytokinetic analysis of tumor growth. Proc Natl Acad Sci U S A. 1966; 56(6):1735-42. PMC: 220164. DOI: 10.1073/pnas.56.6.1735. View

7.

Quastler H, SHERMAN F . Cell population kinetics in the intestinal epithelium of the mouse. Exp Cell Res. 1959; 17(3):420-38. DOI: 10.1016/0014-4827(59)90063-1. View

8.

Lang W, Zobl H, Georgii A . The effect of neonatal thymectomy on the growth kinetics of a virus-induced renal sarcoma of the rat. Eur J Cancer (1965). 1978; 14(4):431-7. DOI: 10.1016/0014-2964(78)90215-3. View

9.

Post J, Hoffman J . A G2 population of cells in autogenous rodent sarcoma. Exp Cell Res. 1969; 57(1):111-3. DOI: 10.1016/0014-4827(69)90373-5. View

10.

Zobl H, Lang W, Georgii A . Proliferation kinetics of a virus-induced sarcoma in the rat kidney. Eur J Cancer (1965). 1975; 11(3):159-67. DOI: 10.1016/0014-2964(75)90111-5. View

11.

STEEL G, Adams K, Barrett J . Analysis of the cell population kinetics of transplanted tumours of widely-differing growth rate. Br J Cancer. 1966; 20(4):784-800. PMC: 2008152. DOI: 10.1038/bjc.1966.90. View

12.

Cleaver J . The relationship between the duration of the S phase and the fraction of cells which incorporate 3-H-thymidine during exponential growth. Exp Cell Res. 1965; 39(2):697-700. DOI: 10.1016/0014-4827(65)90074-1. View

Evaluation of Continuous Labelling Data by a Practical Mathematical Method with Application to a Virus-induced Sarcoma of the Rat