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A Simulation Model for In Vitro Kinetics of Normal and Irradiated Cells

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Computer Simulation in Cell Radiobiology

Part of the book series: Lecture Notes in Biomathematics ((LNBM,volume 74))

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Abstract

The model proposed here simulates development in time of a cell population which, depending on a chosen model structure and initial values of the parameters, may correspond to either an exponentially growing or stationary culture of normal or tumour cells, as well as to a stem-cell population from embryonal or somatic definitive renewing tissues. It is designed primarily for studying the effect of radiation on the kinetics of cell populations following a single or fractionated exposure. Radiation effect is assessed from the clonogenic capacity of cells. The computer realization of the model was accomplished with the aid of the GPSS/36O language. The individual blocks of the model will be described and substantiated from the standpoint of present-day radiobiological concepts.

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References

  1. Alper, T. Elkind recovery and “sub-lethal damage”: a misleading association?, Brit. J. Radiol., 50, 459–467, 1977.

    Article  Google Scholar 

  2. Alper, T. Keynote address: survival curve models. In: Radiation Biology in Cancer Research, Raven Press, New York, 3–18, 1980.

    Google Scholar 

  3. Barendsen, G.W. Damage to the reproductive capacity of human cells in tissue culture by ionizing radiations of different linear energy transfer, In: The Initial Effects of Ionizing Radiations on Cells, Academic Press, Lond., 183–199, 1961,

    Google Scholar 

  4. Belli, J.A. and Shelton, M. Potentially lethal radiation damage: repair by mammalian cells in culture, Science, 165, 490–492, 1969.

    Article  Google Scholar 

  5. Bender, M.A. and Gooch, P.C. The kinetics of X-ray survival of mammalian cells in vitro, Int. J. Radiat. Biol., 5, 133–145, 1962.

    Article  Google Scholar 

  6. Brown, J.M. Long G1 or G0 state: a method of resolvings the dilemma for the cell cycle and in vivo population. Exper. Cell Res., 52, 565–570, 1968.

    Article  Google Scholar 

  7. Burns, F.J. and Tannock, I.F. On the existence of a G0-phase in the cell cycle, Cell Tissue Kinet., 3, 321–324, 1970.

    Google Scholar 

  8. Chadwick, K.H. and Leenhouts, H.P. A molecular theory of cell survival, Phys. Med. Biol., 18, 78–87, 1973.

    Article  Google Scholar 

  9. Cox, R. and Masson, W.K. Changes in radiosensitivity during the in vitro growth of diploid human fibroblasts, Int. J. Radiat, Biol., 26, 193–196, 1974.

    Article  Google Scholar 

  10. De Maertelaer, V. and Galand, P. Some properties of a “G0” model of the cell cycle. I. Investigations on the posible existence of natural constraints on the theoretical model in steady state conditions, Cell Tissue, Kinet., 8, 11–22, 1975.

    Google Scholar 

  11. De Maertelaer, V. and Galand, P. Some properties of a “G0” model of the cell cycle. II. Natural constraints of the theoretical modeli in exponential growth conditions, Cell Tissue. Kinet., 10, 35–42, 1977.

    Google Scholar 

  12. Djordjevic, B., Evans, R.G., Perez, A.G. and Weill, M.K. Spontaneous unscheduled DNA synthesis in G1 HeLa cells, Nature, 224, 803–804, 1969.

    Article  Google Scholar 

  13. Dritschilo, A., Piro, A.J. and Belli, J.A. Repair of radiation damage in plateau-phase mammalian cells: relationship between sub-lethal and potentially lethal damage states, Int. J. Radiat. Biol., 30, 565–569, 1976.

    Article  Google Scholar 

  14. Elkind, M.M. Cells targets and molecules in radiation biology. In: Radiation Biology in Cancer Research, Raven Press, New York, 71–93, 1980.

    Google Scholar 

  15. Elking, M.M. and Sutton, H.X-ray damage and recovery in mammalian cells in culture, Nature, 184, 1293–1295, 1959.

    Article  Google Scholar 

  16. Elkind, M.M., Sutton-Gilbert, H., Moses, W.B. and Kamper, C. Sub-lethal and lethal radiation damage, Nature, 214, 1088–1092, 1967.

    Article  Google Scholar 

  17. Elkind, M.M. and Whitmore, G.P. The radiobiology of cultured mammalian cells, Gordon and Breach, New York, Lond., Paris, 1967.

    Google Scholar 

  18. Evans, R.G., Bagshaw, M.A., Gordon, L.F., Kurkjian, S.D. and Hahn, G.M. Modification of recovery fromp potentially lethal X-ray damage in plateau phase Chinese humster cells, Radiat. Res., 59, 597–605, 1974.

    Article  Google Scholar 

  19. Fidorra, J. and Linden, W.A. Radiosensitivity and recovery of mouse L cells, Radiat, and Environ. Bipphys., 14, 285–294, 1977.

    Google Scholar 

  20. Garrett, W.R. and Payne, M.G. Applications of models for cell survival: the fixation time picture, Radiat. Res., 73, 201–211, 1978.

    Article  Google Scholar 

  21. Ginsberg, D.M. and Jagger, J. Evidence that initial ultraviolet lethal damage in Escherichia coli strain 15 T-A-U- is independent of growth phase, J. Gen. Microbiol., 40, 171–184, 1965

    Article  Google Scholar 

  22. Coodhead, D.T. Models of radiation inactivation and mutagenesis, In:Radiation Biology in Cancer Research, Raven Press, New York, 231–247, 1980.

    Google Scholar 

  23. Goodhead, D.T., Thacker, J. and Cox, R. The conflict between the biological effects of ultrasoft X-rays and microdosimetric measurements and application, In Proceedings of the Sixth Symposium on Microdosimetry, Commission of the European Communities, 829–843, 1978.

    Google Scholar 

  24. Green, A.E.S. and Burki, J. A note on survival curves with shoulders, Radiat. Res., 60, 536–540, 1974.

    Article  Google Scholar 

  25. Grove, G.L. and Cristofalo, V.J. The transition probability model and the regulation of proliferation of human diploid cell cultures during aging, Cell Tissue Kinet., 9, 395–399, 1976.

    Google Scholar 

  26. Grove, G.L. and Cristofalo, V.J. Transition probability model and aging human diploid cell cultures, Cell, Biol. Int. Rep., 2, 185–188, 1978.

    Article  Google Scholar 

  27. Gushchin, V.A. Branching of the G1-phase in the mitotic cycle of guinea-pig colon crypt cells, Cytology, 18, 1455–1463, 1976, (In Russian).

    Google Scholar 

  28. Hahn, G.M. and Little, J.B. Plateau-phase cultures of mammalian cells: on in vitro model for human cancer, Curr. Topic Radiat. Res., 8, 39–43, 1972.

    Google Scholar 

  29. Hahn, G.M., Bagshaw, M.A., Evans, R.G and Gordon, L.F. Repair of potentially lethal lesions in X-irradiated, density-inhibited Chinese hamster cells: metabolic effects and hypoxia, Radiat. Res., 55, 280–290, 1973.

    Article  Google Scholar 

  30. Haha, G.M., Rockwell, S., Kallman, R.F., Gordon, L.P. and Prindel, E. Repair of potentially lethal damage in vivo in solid tumor cells after irradiation, Cancer Res., 34, 351–354, 1974.

    Google Scholar 

  31. Harris, J.-R., Murthy, A.K. and Belli, J.A. Repair following combined X-ray and heat at 41° in plateau-phase mammalian cells, Cancer Res., 37, 3374–3378, 1977.

    Google Scholar 

  32. Hartmann, N.P., Gilbert, C.M., Jansson, B., Macdonald, P.D.M., Steel, G.G. and Valieron, A.J. A comparison of computer methods for the analysis of fraction labelled mitoses curves, Cell Tissue Kinet., 8, 119–124, 1975.

    Google Scholar 

  33. Haynes, R.H. The interpretaion of mecrobial inactivation and recovery phenomena, Radiat. Res., suppl., 6, 1–29, 1966.

    Article  Google Scholar 

  34. Haynes, R.H. The effect of reparation process on survival curves, In: Cell Survival after Low Doses of Radiation: Theoretical and Clinical Implications, Proceedings of the Sixth L.H. Gray Conference (T. Apler, Editor), the Institute of Physics, John Wiley and Sons, 1975.

    Google Scholar 

  35. Hetzel, F.W., Kruuv, J. and Prey, H.E. Repair of potentially lethal damage in X-irradiated V79 cells, Radiat, Res., 68, 308–319. 1976.

    Article  Google Scholar 

  36. Hill, R.P., Warren, B.F. and Bush, R.S. The effect of intercellular contact on the radiation sensitivity of KHT sarcoma cells, Radiat. Res., 77, 182–192, 1979.

    Article  Google Scholar 

  37. Hug, O. and Kellerer, A.M. Stochastik der Strahlenwirkung, Springer-Verlag, Berlin, Heidelberg, New York, 1966.

    Book  Google Scholar 

  38. Kapul’tcevich, Yu. G. Quantitative regularities of cell radiation injury, Atomizdat, Moscow, 1964, (In Russian).

    Google Scholar 

  39. Kapul’tcevich, Yu. G. and Korogodin, V.I. Statistical models of postradiation recovery of cells, Radiobiology, 4, 349–356, 1964, (In Russian).

    Google Scholar 

  40. Katz, R., Ackeron, B., Hamayconfar, M. and Sharma, S.G. Inactivation of cells by heavy ion bombardment, Radiat. Res., 47, 402–425, 1971.

    Article  Google Scholar 

  41. Kellerer, A.M. and Rossi, H.H. The theory of dual radiation action, Curr. Topic Radiat. Res., 8, 85–153, 1972.

    Google Scholar 

  42. Kellerer, A.M. and Rossi, H.H. A generalized formulation of dual radiation action, Radiat, Res., 75, 471–488, 1978.

    Article  Google Scholar 

  43. Laurie, J.J., Orr, S. and Poster, C.J. Repair processes and cell survival, Brit. J. Radiol., 45, 362–368, 1972.

    Article  Google Scholar 

  44. Leenhouts, H.P. and Chadwick, K.H. Stopping power and the radio-biological effect of electrons, gamma rays and ions. In: Proceedings of the Fifth Symposium on Microdosimetry, Commission of the European Communities, Luxembourg, 289–308, 1976.

    Google Scholar 

  45. Leeper, D.B. and Hagemann, R.P. Repair kinetics of radiation-induced mitotic delay, Biophys, J., 13, 179–185, 1973.

    Article  Google Scholar 

  46. Little, J.B. Repair of sub-lethal and potentially lethal radiation damage in plateau phase cultures of human cells, Nature, 224, 804–806, 1969.

    Article  Google Scholar 

  47. Little, J.B. Factors influencing the repair of potentially lethal radiation damage in growth-inhibited human cells, Radiat. Res., 56, 320–333, 1973.

    Article  Google Scholar 

  48. Little, J.B., Hahn, G.M., Frindel, E. and Tubiana, M. Repair of potentially lethal radiation damage in vitro and in vivo, Radiology, 106, 689–694, 1973.

    Google Scholar 

  49. Mak, S. and Till, J.F. The effects of X-rays on the progress of L-cells through the cell cycle, Radiat. Res., 30, 600–618, 1963.

    Article  Google Scholar 

  50. Mets, T. and Verdonk, G. The theory of transition probability and division pattern of WI-38 cells, Cell Biol. Int. Rep., 2, 561–564, 1978.

    Article  Google Scholar 

  51. Mitchell, J.B. and Bedford, J.S. Dose-rate effects in synchronous mammalian cells in culture. I. A comparison of the life cycle of HeLa cells during continuous irradiation or multiple-dose fractionation, Radiat, Res., 71, 547–560, 1977.

    Article  Google Scholar 

  52. Okada, S., Radiation biochemistry, Volume I: Cells, Academic Press New York, Lond., 1970.

    Google Scholar 

  53. Orr, J.S., Wakerley, S.E. and Stark, J.M. A metabolic theory of cell survival curves, Phys. Med. Biol., 1, 103–108, 1966.

    Article  Google Scholar 

  54. Painter, R.B. and Robertson, J.S. Effect of irradiation and theory of role of mitotic delay on the time course of labelling of HeLa S3 cells with tritiated thymidine, Radiat. Res., 11, 206–217, 1959.

    Article  Google Scholar 

  55. Payne, M.G. and Garrett, W.R. Some relations between cell survival models having different inactivation mechanism, Radiat. Res., 62, 382–394, 1975.

    Google Scholar 

  56. Pelevina, I.I., Afanas’ev, G.G. and Gotlig, V.Y. Cell factors in tumour reaction to irradiation and chemotherapy, Nauka, Moscow, 1978 (In Russian).

    Google Scholar 

  57. Phillips, R.A. and Tolmach, L.J. Repair of potentially lethal damage in X-irradiated HeLa cells, Radiat. Res., 29, 413–432, 1966.

    Article  Google Scholar 

  58. Powers, E.L. Considerations of survival curves and target theory, Phys. Med. Biol., 7, 3–28, 1962.

    Article  Google Scholar 

  59. Puck, T.T. and Marcus, P.I. Action of X-rays on mammalian cells, J. Exper. Med., 103, 653–666, 1956.

    Article  Google Scholar 

  60. Raaphort, G.P. and Dewey, W.C. A study of the repair of potentially lethal and sublethal radiation damage in Chinese hamster cells exposed to extremely hypo-or-hypertonic NaCl solutions, Radiat, Res., 77, 325–340, 1979.

    Article  Google Scholar 

  61. Raju, M.R., Frank, J.P., Bain, E., Trujillo, T.T. and Tobey R.A. Repair of potentially lethal damage in Chinese hamster cells after X and -irradiation, Radiat. Res., 71, 614–621, 1977.

    Article  Google Scholar 

  62. Schaer, J.C. and Ramseier, L. Studies on the division cycle of mammalian cells. X-ray sensitivity and repair capacity of synchronous by dividing murine mastocytoma cells, Radiat. Res., 56, 259–270, 1973.

    Article  Google Scholar 

  63. Shields, R. Transition probability and the origin of variation in the cell cycle, Nature, 267, 704–707, 1977.

    Article  Google Scholar 

  64. Shields, R. and Smith, J.A. Cells regulate their proliferation through alterations in transition probability, J. Cell Phyiol., 91, 345–356, 1977.

    Article  Google Scholar 

  65. Shipley, W.U., Stanley, J.A., Contenay, V.D. and Fields, S.B. Repair of radiation damage in Leuis carcinoma cells following in situ treatment with fast neutrons and — rays, Cancer Res., 35, 932–938, 1975.

    Google Scholar 

  66. Sinclair, W.K. Sensitization by hydroxyurea and protection by cysteamin of Chinese hamster cells during the cell cycle. In: Radiation Protection and Sensitization, Tailor and Francis LTD, Lond., 201–210, 1970.

    Google Scholar 

  67. Sinclair, W.K. N-ethylmaleimide and the cyclic response to X-rays of synchronous Chinese hamster cells, Radiat. Res., 55, 41–57, 1973.

    Article  Google Scholar 

  68. Smith, J.A. Application of the theory of transition probability in “ageing” WI-38 cells: similar behaviour of clonogenic cells from early and late passage cultures, Cell. Biol. Int. Rep., 1, 283–289, 1977.

    Article  Google Scholar 

  69. Smith, J.A. and Martin, L. Do cells cycle?, Proc. Nat. Acad. Scien. USA, 70, 1263–1267, 1973.

    Article  Google Scholar 

  70. Svetina, S. and Zeks, B. Transition probability models of the cell cycle exhibiting the age distribution for cells in the intermediate state of the cell cycle, In: Biomathematics and Cell Kinetics, Biomedical Press, Amsterdam New York, Oxford, 71–82, 1978.

    Google Scholar 

  71. Terasima, T. and Tolmach, L.J. Variation in several responses of HeLa cells to X-radiation during the division cycle, Biophys, J., 3, 11–33, 1963.

    Article  Google Scholar 

  72. Tolmach, L.J., Griffiths, T.D. and Jones, R.W. Susceptibility of X-ray-arrested HeLa S3 cells to additional arrest, Radiat. Res., 66, 649–654, 1976.

    Article  Google Scholar 

  73. Tolmach, L.J. and Jones, R.W. Dependence of the rate of DNA synthesis in irradiated HeLa S3 cells on dose and after exposure, Radiat. Res., 69, 117–133, 1977.

    Article  Google Scholar 

  74. Urano, M., Nesumi, N., Ando, K., Koike, S., Ohnuma, N., Repair of potentially lethal radiation damage in acute and chronically hypoxic tumor cells in vivo, Radiology, 118, 447–451, 1976.

    Google Scholar 

  75. Utsumi, H. and Elkind, M.M. Potentially lethal damage. Qualitative differences between ionizing and non-ionizing radiation and implications for “single-hit” killing, Int. J. Radiat. Biol., 35, 373–380, 1979.

    Article  Google Scholar 

  76. Utsumi, H. and Elkind, M.M. Potentially lethal damage versus sub-lethal damage: independent repair processes in actively growing Chinese hamster cells, Radiat. Res., 77, 346–360, 1779.

    Article  Google Scholar 

  77. Weichselbaum, R.R. and Little, J.B. The differential response of human tumours to fractionated radiation may be due to a post-irradiation repair process, Brit. J. Cancer, 46, 532–537, 1982.

    Article  Google Scholar 

  78. Weichselbaum, R.R. and Little, J.B. Repair of potentially lethal X-ray damage and possible applications to clinical radiotherapy, Int. J. Radiat. Oncol. Biol. Phys., 9, 91–96, 1983.

    Article  Google Scholar 

  79. Weichselbaum, R.R., Nove, J. and Little, J.B. Radiation response of human tumor cells in vitro, In: Radiation Biology in Cancer Research, Raven Press, New York, 345–351, 1979.

    Google Scholar 

  80. Weichselbaum, R.R., Malcolm, A.W. and Little, J.B. Fraction size and the repair of potentially lethal radiation damage in human melanoma cell line, Radiology, 142, 225–227, 1982.

    Google Scholar 

  81. Weichselbaum, R.R., Schmit, A. and Little, J.B. Celular repair factors influencing radiocurability of human malignant tumors, Brit. J. Cancer, 45, 10–16, 1982.

    Article  Google Scholar 

  82. Weiss, B.G. Perturbations in precursor incorporation into DNA of X-irradiated HeLa S3 cells, Radiat. Res., 48, 128–145, 1971.

    Article  Google Scholar 

  83. Wideröe, R., A comparison of radiation effects on mammalian cells in vitro caused by X-rays, high energy neutrons and negative pions, Radiat. Environ. Biphys., 15, 57–75, 1978.

    Article  Google Scholar 

  84. Winans, L.F., Dewey, W.C. and Dettor, C.M. Repair of sublethal and potentially lethal X-ray damage in synchronous Chinese hamser cells, Radiat. Res., 52, 333–351, 1972.

    Article  Google Scholar 

  85. Yakovlev, A.Yu., Zorin, A.V. and Isanin, N.A. The kinetic analysis of induced cell proliferation, J. Theor. Biol., 64, 1–25, 1977.

    Article  Google Scholar 

  86. Yarmonenko, S.P., Wainson, A.A., Kalendo, G.S. and Rampan, Yu.I. Biological bases of radiation therapy of tumours, Medicine, Moscow, 1976, (In Russian).

    Google Scholar 

  87. Zinninger, G.F. and Little, J.B. Fractionated radiation response of human cells in stationary and exponentialp phases of growth, Radiology, 103, 423–428, 1973.

    Google Scholar 

  88. Zorin, A.V., Gushchin, V. A., Stefanenko, F.A., Cherepanova, O.N. and Yakovlev, A.Yu. Computer simulation of kinetics of irradiated cell populations in tumours, Experimental Oncology, 5, 27–30, 1983, (In Russian).

    Google Scholar 

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Yakovlev, A.Y., Zorin, A.V. (1988). A Simulation Model for In Vitro Kinetics of Normal and Irradiated Cells. In: Computer Simulation in Cell Radiobiology. Lecture Notes in Biomathematics, vol 74. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-51716-7_3

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  • DOI: https://doi.org/10.1007/978-3-642-51716-7_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-19457-6

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