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Kinetic model of changes in genetic controlling systems in cells into a state of proliferation and differentiation

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Abstract

A kinetic model of changes in genetic controlling systems in cells into a state of proliferation and differentiation was built. A mathematical description of that model in a form of differential equations systems was made. Solutions of those systems were presented graphically. It was shown that at minimum values of reaction rate constants linear time changes were observed in kinetic model parameters and at maximum levels they were non-linear that was characteristic of the living systems. These results point to the fact that changes in genetic controlling systems in living cells occur when reaction rate constants are maximum.

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References

  1. B. Coila, Cell differentiation and proliferation biology, Biology 32, 241 (2009).

    Google Scholar 

  2. T. Ravasi, Nature Genetics 41, 553 (2009).

    Article  Google Scholar 

  3. K. Zavitz and L. Zipursky, Curr. Opin. Cell Biol. 9, 773 (1997).

    Article  Google Scholar 

  4. L. Ho, J. Ronan, and J. Wu, Proc. Natl. Acad. Sci. 106, 5181 (2009).

    Article  ADS  Google Scholar 

  5. L. J. Stein, J. B. Lian, and J. S. Stein, Int. J. Obes. Relat. Metab. Disor. 3, 84 (1996).

    Google Scholar 

  6. R. E. Allen, S. M. Sheehan, and R. G. Taylor, J. Cell. Physiol. 165(2), 307 (1995).

    Article  Google Scholar 

  7. T. Floss, H. H. Arnold, and T. Braun, Genes Dev. 11, 2040 (1997).

    Article  Google Scholar 

  8. S. Kastner, M. C. Elias, and A. J. Rivera, J. Histochem. Cytochem. 48(8), 1079 (2000).

    Article  Google Scholar 

  9. M. H. Lee, A. Javed, and H. J. Kim, J. Cell Biochem. 73, 114 (1999).

    Article  Google Scholar 

  10. P. Minoo, W. Sullivan, and L. Solomon, J. Cell Biol. 109(5), 1937 (1989).

    Article  Google Scholar 

  11. P. Seale, L. A. Sabourin, and A. Girgis-Gabardo, Cell 102(6), 777 (2000).

    Article  Google Scholar 

  12. S. M. Sheehan and R. E. Allen, J. Cell Physiol. 181(3), 499 (1999).

    Article  Google Scholar 

  13. R. Tatsumi, J. E. Anderson, and C. J. Nevoret, Dev. Biol. 194(1), 114 (1998).

    Article  Google Scholar 

  14. R. Tatsumi, A. Hattori, and Y. Ikeuchi, Mol. Biol. Cell 13(8), 2909 (2002).

    Article  Google Scholar 

  15. Z. Yablonka-Reuveni, R. Seger, and A. J. Rivera, J. Histochem. Cytochem. 47(1), 23 (1999).

    Article  Google Scholar 

  16. E. Canalis, A. N. Economides, and E. Gazzero, Endocrinology Rev. 24(2), 218 (2003).

    Article  Google Scholar 

  17. E. M. Füchtbauer and H. Westphal, Developmental Dynamics: An Official Publication of the American Association of Anatomists 193, 34 (1992).

    Article  Google Scholar 

  18. M. D. Grounds, K. L. Garrett, and M. C. Lai, Cell and Tissue Res. 267(1), 99 (1992).

    Article  Google Scholar 

  19. Z. Yablonka-Reuveni and A. J. Rivera, Dev. Biol. 164(2) 588 (1994).

    Article  Google Scholar 

  20. P. S. Zammit, J. P. Golding, and Y. Nagata, J. Cell Biol. 166(3) 347 (2004).

    Article  Google Scholar 

  21. X. Kai, D. Dong, and Z. Shanshan, PloS Comput. Biol. 4, 124 (2006).

    Article  Google Scholar 

  22. X. Zhao, Z. Yang, G. Liang, et al., Anesthesiology 118(3), 537 (2013).

    Article  Google Scholar 

  23. R. Binggeli and R. C. Weinstein, J. Theor. Biol. 123, 377 (1986).

    Article  Google Scholar 

  24. L. K. Putney, J. Biol. Chem. 278, 44645 (2003).

    Article  Google Scholar 

  25. Y. Kim, X. Zheng, and Y. Zheng, Cell Res. 55, 213 (2013).

    Google Scholar 

  26. C. D. Cone, J. Theoret. Biol. 30, 151 (1971).

    Article  Google Scholar 

  27. S. Sundelacruz, M. Levin, and D. Kaplan, Stem Cell Review and Reproduction 5, 231 (2009).

    Article  Google Scholar 

  28. S. Sundelacruz, M. Levin, and D. Kaplan, PLoS ONE 3(11), 325 (2008).

    Article  Google Scholar 

  29. A. A. Samarskii, Introduction to Numerical Methods (Nauka, Moscow, 1987) [in Russian].

    Google Scholar 

  30. V. P. D’yakonov, MATLAB and SIMULINK for Radio Engineers (DMK-Press, Moscow, 2011) [in Russian].

    Google Scholar 

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Authors and Affiliations

  1. Department of Biology, Lviv Ivan Franko National University, Lviv, 79005, Ukraine

    I. V. Stadnyk & D. I. Sanagursky

Authors
  1. I. V. Stadnyk
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  2. D. I. Sanagursky
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Correspondence to I. V. Stadnyk.

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Original Russian Text © I.V. Stadnyk, D.I. Sanagursky, 2014, published in Biofizika, 2014, Vol. 59, No. 4, pp. 732–739.

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Stadnyk, I.V., Sanagursky, D.I. Kinetic model of changes in genetic controlling systems in cells into a state of proliferation and differentiation. BIOPHYSICS 59, 601–607 (2014). https://doi.org/10.1134/S0006350914040071

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  • DOI: https://doi.org/10.1134/S0006350914040071

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