Mathematical modelling of cancinogenesis

  • V. G. Knigavko Kharkov National Medical University
  • E. B. Radzishevskaya Kharkov National Medical University
  • M. A. Bondarenko Kharkov National Medical University
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, Kharkov National Medical University

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

E. B. Radzishevskaya, Kharkov National Medical University

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

M. A. Bondarenko, Kharkov National Medical University

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

References

1. Гродзинський Д.М. Радіобіологія. К.: Либідь, 2000. – 448 с.

2. Ярыгин В.Н. Биология. Кн. 1. М.: Высшая школа, 2000.- 448 с.

3. Федорюк М.В. Асимптотика: Интегралы и ряды. – М.: Наука, 1987. – 544 с.
Cited
How to Cite
Knigavko, V. G., Radzishevskaya, E. B., & Bondarenko, M. A. (1). Mathematical modelling of cancinogenesis. Biophysical Bulletin, 2(25). Retrieved from https://periodicals.karazin.ua/biophysvisnyk/article/view/2768
Section
Biophysics of complex systems