"Modeling the division of biological cells in the stage of metaphase on the "Lomonosov-2" supercomputer"
Krivov M.A., Zaytsev A.V., Ataullakhanov F.I., and Ivanov P.S.

This paper is devoted to the construction of a mathematical model for a biological cell to describe the process of its division during the $M$-phase. We propose a refinement for one of the well-known models by extending it from two-dimensional to three-dimensional case. The modified model is implemented as an universal software package for modeling the cell division in the stages of prometaphase, metaphase, and anaphase on workstations and supercomputers. Using this software and the "Lomonosov-2" supercomputer, we study the relation between the size of the kinetochore active area and the number of merotelic attachments in the metaphase. It is shown that the observed correlation is not a result of geometric constraints, as it was earlier assumed, but is an effect of large rotation angles of chromosome pairs.

Keywords: mitosis, metaphase, kinetochore, merotelic microtubules, mathematical simulation, supercomputer.

  • Krivov M.A. – Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics; Leninskie Gory, Moscow, 119991, Russia; Mathematician, e-mail: m_krivov@cs.msu.su
  • Zaytsev A.V. – Center of Theoretical Problems in Physico-Chemical Pharmacology, Russian Academy of Sciences; ulitsa Kosygina 4, Moscow, 119991, Russia; Ph.D., Senior Scientist, e-mail: zaytsev.anatoly@gmail.com
  • Ataullakhanov F.I. – Center of Theoretical Problems in Physico-Chemical Pharmacology, Russian Academy of Sciences; ulitsa Kosygina 4, Moscow, 119991, Russia; Dr. Sci., Professor, Corresponding Member of Russian Academy of Sciences, Director, e-mail: ataullakhanov.fazly@gmail.com
  • Ivanov P.S. – Lomonosov Moscow State University, Faculty of Physics; Leninskie Gory, Moscow, 119991, Russia; Ph.D., Senior Scientist, e-mail: psmart@rambler.ru