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The Small Intestine as a Target for Radiation

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Environmental Radiation Effects on Mammals

Abstract

Chapter 3 is devoted to the development and thorough study of the biologically motivated mathematical model, which describes the dynamics of the small intestinal epithelium in nonirradiated and acutely/chronically irradiated mammals. The model is implemented as the system of nonlinear differential equations. Their variables and constant parameters have real biological meaning that provides successful identification and verification of the model on hand. It is demonstrated that the predictions the model agree, on qualitative and quantitative levels, with the respective experimental data for rodents. All this testifies to the efficiency of employment of the developed model, after the appropriate identification, in investigation and prediction of radiation effects on the small intestinal epithelium system in humans.

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References

  1. Travis S., Ahmad T., Collier J., Steinhart A.H. Gastroenterology, 3rd edition. Malden, MA: Wiley-Blackwell, 2005.

    Google Scholar 

  2. Bond V.P., Fliendner T.M., Archambeau J.O. Mammalian Radiation Lethality: A Disturbance in Cellular Kinetics. New York: Academic Press, 1965.

    Google Scholar 

  3. Yarmonenko S.P., Vainson A.A. Radiobiology of Humans and Animals. Moscow: Vyisshaya shkola, 2004 (Russian).

    Google Scholar 

  4. Yarmonenko S.P. Radiobiology of Human and Animals. Moscow: Viysshaya shkola, 1988 (Russian).

    Google Scholar 

  5. Darenskaya N.G., Korotkevich A.O. Nonspecific Body Reactivity and Principles of Forming of Individual Radiosensitivity. Moscow: Voentexinizdat, 2001 (Russian).

    Google Scholar 

  6. Quastler H. The nature of intestinal radiation death. Radiation Research, v. 4, pp. 303–320, 1956.

    Google Scholar 

  7. Baer A.R., Cheeseman C.I., Thomson B.R. The assessment of recovery of the intestine after acute radiation injury. Radiation Research, v. 109, pp. 319–329, 1987.

    Article  Google Scholar 

  8. Geraci J.P., Jackson K.L., Mariano M.S. The intestinal radiation syndrome: Sepsis and endotoxin. Radiation Research, v. 101, pp. 442–450, 1985.

    Article  Google Scholar 

  9. Smirnova O.A. Mathematical simulation of the dynamics of postirradiation damage and recovery of intestinal epithelium. Radiobiologiya, v. 28, pp. 817–821, 1988 (Russian).

    Google Scholar 

  10. Smirnova O.A. Mathematical simulation of the intestinal epithelium dynamics in nonirradiated and irradiated mammals. Radiobiologiya, v. 32, pp. 751–756, 1992 (Russian).

    Google Scholar 

  11. Kovalev E.E., Smirnova O.A. Estimation of radiation risk based on the concept of individual variability of radiosensitivity. AFRRI Contract Report 96-1. Bethesda, MD: Armed Forces Radiobiology Research Institute, 1996.

    Google Scholar 

  12. Smirnova O.A. Mathematical models of dynamics of small intestine epithelium system in nonirradiated and irradiated mammals. Abstracts of the 24th Meeting of the European Study Group for Cell Proliferation (ESGCP), Leipzig, Germany, June 12–17, 2001. Cell Proliferation, v. 34(3), pp. 193–194, 2001.

    Google Scholar 

  13. Smirnova O.A. Radiation and Organism of Mammals: Modeling Approach. Moscow-Izhevsk: Scientific-Publishing Centre “Regular and Chaotic Dynamics,” Institute of Computer Science, 2006 (Russian).

    Google Scholar 

  14. Smirnova O.A. Radiation effects on small intestine epithelium system: Mathematical modeling. Proceedings of III International Symposium “Problems of Biochemistry, Radiation and Space Biology” dedicated to the centenary of Academician N.M. Sissakian’s birth, Dubna, pp. 250–256, 2007.

    Google Scholar 

  15. Smirnova O.A. Blood and small intestine cell kinetics under radiation exposures: Mathematical modeling. Advances in Space Research, v. 44, pp. 1457–1469, 2009.

    Article  ADS  Google Scholar 

  16. Loeffler M., Potten C.S. Stem cells and cellular pedigrees — A conceptual introduction; in Potten C.S. (Ed.): Stem Cells, ISBN 0-12-563455-2, Cambridge: Academic Press, pp. 1–27, 1997.

    Google Scholar 

  17. Potten C.S., Loeffler M. Stem cells: Attributes, cycles, spirals, pitfalls and uncertainties. Lessons for and from the crypt. Development, v. 110, pp. 1001–1020, 1990.

    Google Scholar 

  18. Loeffler M., Roeder I. Tissue stem cells: Definition, plasticity, heterogeneity, self-organization and models — A conceptual approach. Cells Tissues Organs, v. 171, pp. 8–26, 2002.

    Article  Google Scholar 

  19. Potten C.S., Gandara R., Mahida Y.R., Loeffler M., Wright N.A. The stem cells of small intestinal crypts: Where are they? Cell Proliferation, v. 42, pp. 731–750, 2009.

    Article  Google Scholar 

  20. Kwan W.B., Shui C., Ning S., Knox S.J. Enhancement of murine intestinal stem cell survival after irradiation by keratinocyte growth factor. Radiation Research, v. 148, p. 248, 1997.

    Article  Google Scholar 

  21. Romanov J.A., Ketlinsky S.A., Antokhin A.I., Okulov V.B. Chalones and Regulation of Cell Division. Moscow: Meditsina, 1984 (Russian).

    Google Scholar 

  22. Potten C.S., Booth C., Haley J.D. Pretreatment with transforming growth factor beta-3 protects small intestinal cells against radiation damage in vivo. British Journal of Cancer, v. 75, p. 1454, 1997.

    Article  Google Scholar 

  23. Loeffler M., Stein R., Wichmann H.E., Potten C.S., Kaur P., Chwalinski S. Intestinal cell proliferation: I. A comprehensive model of steady-state proliferation in the crypt. Cell and Tissue Kinetics, v. 19, pp. 627–645, 1986.

    Google Scholar 

  24. Loeffler M., Potten C.S., Paulus U., Glatzer J., Chwalinski S. Intestinal crypt proliferation: II. Computer modelling of mitotic index data provides further evidence for lateral and vertical cell migration in the absence of mitotic activity. Cell Proliferation, v. 21(4), pp. 247–258, 1988.

    Google Scholar 

  25. Potten C.S., Loeffler M. A comprehensive model of the crypts of the small intestine of the mouse provides insight into the mechanisms of cell migration and the proliferation hierarchy. Journal of Theoretical Biology, v. 127, pp. 381–391, 1987.

    Article  Google Scholar 

  26. Paulus U., Loeffler M., Zeidler J., Owen G., Potten C.S. The differentiation and lineage development of goblet cells in the murine small intestinal crypt: Experimental and modelling studies. Journal of Cell Science, v. 106, pp. 473–484, 1993.

    Google Scholar 

  27. Meineke F.A., Potten C.S., Loeffler M. Cell migration and organization in the intestinal crypt using a lattice-free model. Cell Proliferation, v. 34, pp. 253–266, 2001.

    Article  Google Scholar 

  28. Drasdo D., Loffler M. Individual-based models to growth and folding in one-layered tissues: Intestinal crypts and early development. Nonlinear Analysis, v. 47, pp. 245–256, 2001.

    Article  MathSciNet  MATH  Google Scholar 

  29. Shu-Han Lin A., Buist M.L., Smith N.P., Pullan A.J. Modelling slow wave activity in the small intestine. Journal of Theoretical Biology, v. 242(2), pp. 356–362, 2006.

    Article  MathSciNet  Google Scholar 

  30. Miftahof R., Akhmadeev N. Dynamics of intestinal propulsion. Journal of Theoretical Biology, v. 246(2), pp. 377–393, 2007.

    Article  MathSciNet  MATH  Google Scholar 

  31. Onofrio A., Tomlinson I.P.M. A nonlinear mathematical model of cell turnover, differentiation and tumorigenesis in the intestinal crypt. Journal of Theoretical Biology, v. 244(3), pp. 367–374, 2007.

    Article  MathSciNet  Google Scholar 

  32. Simpson M.J., Landman K.A., Bhaganagarapu K. Coalescence of interacting cell populations. Journal of Theoretical Biology, v. 247(3), pp. 525–543, 2007.

    Article  MathSciNet  Google Scholar 

  33. Qu K., Ortoleva P. Understanding stem cell differentiation through self-organization theory. Journal of Theoretical Biology, v. 250(4), pp. 606–620, 2008.

    Article  MathSciNet  Google Scholar 

  34. Guebel D.V., Torres N.V. A computer model of oxygen dynamics in human colon mucosa: Implications in normal physiology and early tumor development. Journal of Theoretical Biology, v. 250(3), pp. 389–409, 2008.

    Article  Google Scholar 

  35. Binder B.J., Landman K.A. Exclusion processes on a growing domain. Journal of Theoretical Biology, v. 259(3), pp. 541–551, 2009.

    Article  MathSciNet  Google Scholar 

  36. Gerike T.G., Paulus U., Potten C.S., Loeffler M. A dynamical model of proliferation and differentiation in the intestinal crypt based on a hypothetical intraepithelial growth factor. Cell Proliferation, v. 31, pp. 93–110, 1998.

    Article  Google Scholar 

  37. Tyazelova V.G. Dynamics of Haemopoiesis. Moscow: Meditsina, 1988 (Russian).

    Google Scholar 

  38. Gozenbuk V.L., Keirim-Markus I.B. Dosimetric Criteria of the Severity of Acute Man Irradiation. Moscow: Energoatomizdat, 1988 (Russian).

    Google Scholar 

  39. Sato F., Muramatsu S., Tsuchihashi S., et al. Radiation effects on cell populations in the intestinal epithelium of mice and its theory. Cell and Tissue Kinetics, v. 5, pp. 227–235, 1972.

    Google Scholar 

  40. Shiragai A., Sato F., Hiraoka T., et al. Kinetics of cell populations in the intestinal epithelium of mice after partial-body irradiations with X-rays and neutrons. International Journal of Radiation Biology, v. 29, pp. 377–383, 1976.

    Google Scholar 

  41. Kaur P., Potten C.S. Cell migration velocities in the crypts of the small intestine after cytotoxic insult are not dependent on mitotic activity. Cell and Tissue Kinetics, v. 19, p. 601, 1986.

    Google Scholar 

  42. Strdzidzovsky A.D. Quantitative analysis of the cellular aspects of the intestinal syndrome under ionizing radiation action. Theoretical premises and the models of the radiation damage processes in organism system. Pushchino, pp. 50–57, 1975 (Russian).

    Google Scholar 

  43. Romanovsky J.M., Stepanova N.V., Chernavsky D.S. Mathematical Modeling in Biophysics. Introduction to Theoretical Biophysics. Moscow-Izhevsk: Scientific-Publishing Centre “Regular and Chaotic Dynamics,” Institute of Computer Science, 2004 (Russian).

    Google Scholar 

  44. Romanovsky J.M., Stepanova N.V., Chernavsky D.S. Mathematical Modeling in Biophysics. Moscow: Nauka, 1975 (Russian).

    Google Scholar 

  45. Romanovsky J.M., Stepanova N.V., Chernavsky D.S. Kinetische Modelle in der Biophysik. Stuttgart: Gustav Fischer Verlag, 1974.

    Google Scholar 

  46. Pontryagin L.S. Ordinary Differential Equations. Moscow: Nauka, 1982 (Russian).

    MATH  Google Scholar 

  47. Andronov A.A., Vitt A.A., Khikin S.E. Theory of Oscillation. Moscow: Nauka, 1981 (Russian).

    Google Scholar 

  48. Andronov A.A., Leontovich E.A., Gordon I.I., Maier A.G. Theory of Bifurcations of Dynamical Systems on Plane. Moscow: Nauka, 1967 (Russian).

    Google Scholar 

  49. Hayashi C. Nonlinear Oscillations in Physical Systems. McGraw-Hill Book Company, New York, 1964.

    MATH  Google Scholar 

  50. Arrowsmith D.K., Place C.M. Ordinary Differential Equations. A Qualitative Approach with Applications. London: Chapman and Hall, 1982.

    MATH  Google Scholar 

  51. Dulac H. Sur les cycles limités. Bulletin de la Société Mathématique de France, v. 51, pp. 45–188, 1923.

    MathSciNet  MATH  Google Scholar 

  52. Korn G.A., Korn T.M. Mathematical Handbook. McGraw-Hill Book Company, New York, 1968.

    MATH  Google Scholar 

  53. Lea D.E. Action of Radiation on Living Cells, 2nd ed. Cambridge: Syndics of the Cambridge University Press, 1955.

    Google Scholar 

  54. Gruzdev G.P. Problems of Haemopoietic Tissue Damage Under Acute Radiation Pathology. Moscow: Meditsina, 1968 (Russian).

    Google Scholar 

  55. Lesher S. Compensatory reactions in intestinal crypt cells after 300 roentgens of Cobalt-60 gamma irradiation. Radiation Research, v. 32(3), pp. 510–519, 1967.

    Article  Google Scholar 

  56. Lesher J., Lesher S. Effects of single-dose, whole-body, Cobalt-60 gamma irradiation on number of cells in DNA synthesis and mitosis in the mouse duodenal ephithelium. Radiation Research, v. 43(2), pp. 429–438, 1970.

    Article  Google Scholar 

  57. Kononenko A.M. On the influence of cell abnormal growth on crypt cell population kinetics in irradiated intestinal epithelium. Citologiya, v. 10, pp. 1425–1431, 1968 (Russian).

    Google Scholar 

  58. Kononenko A.M., Pharaphonov G.V. On changes in the amount of epithelium cells on small intestine fibers of irradiated mice. Radiobiologiya, v. 9, pp. 209–212, 1969 (Russian).

    Google Scholar 

  59. Quastder H., Bensted J.P.M., Chir B. Adaptation to continuous irradiation: Observations on the rat intestine. British Journal of Radiology, v. 32(380), pp. 501–512, 1959.

    Article  Google Scholar 

  60. Fabrikant J.I. Adaptation of cell renewal systems under continuous irradiation. Health Physics, v. 52(5), pp. 561–570, 1987.

    Article  Google Scholar 

  61. Cairnie A.B. Cell proliferation studies in the intestinal epithelium of the rat: Response to continuous irradiation. Radiation Research, v. 32, pp. 240–264, 1967.

    Article  Google Scholar 

  62. Matsuzawa T., Wilson R. The intestinal mucosa of germfree mice after whole-body X-irradiation with 3 kiloroentgens. Radiation Research, v. 25(1), pp. 15–24, 1965.

    Article  Google Scholar 

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Smirnova, O.A. (2017). The Small Intestine as a Target for Radiation. In: Environmental Radiation Effects on Mammals. Springer, Cham. https://doi.org/10.1007/978-3-319-45761-1_3

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