Mathematical modelling of cancinogenesis

Authors

  • V. G. Knigavko Kharkiv National Medical University image/svg+xml Author
  • E. B. Radzishevskaya Kharkiv National Medical University image/svg+xml Author
  • M. A. Bondarenko Kharkiv National Medical University image/svg+xml Author

Keywords:

probability, mathematical modeling, cell malignancy, genes, time of a malignant tumor formation

Abstract

Object of work is process of a cell malignancy. The problem of construction of likelihood mathematical
model of damage of the genes interfering a malignancy, and formation of a malignant tumor is solved. At
calculations numerical methods, in particular, Newton's method were used at the decision of the equation
for definition of the most probable time of formation of a tumor and a Laplace method for reception of an
asymptotic estimation of average value of this time.

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Author Biographies

  • V. G. Knigavko, Kharkiv National Medical University

    61022, Kharkov, Lenin av.,4, bondaren-koma@yandex.ru

  • E. B. Radzishevskaya, Kharkiv National Medical University

    61022, Kharkov, Lenin av.,4, bondaren-koma@yandex.ru

  • M. A. Bondarenko, Kharkiv National Medical University

    61022, Kharkov, Lenin av.,4, bondaren-koma@yandex.ru

Issue

Section

Biophysics of complex systems

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