Mechanical vibration model for chromosomes in metaphase of mitosis and possible application to the interruption of cell division

The behavior of chromosomes subjected to external mechanical vibration in metaphase of mitosis is modeled, and its possible applications to the interruption of cell divisions is investigated. The modeling is based on a mass and string coupled system where the mass and the string correspond to the condensed chromosome and the kinetochore microtubule, respectively. After establishing the motion of equation for a chromosome, the frequency response to the forced vibration from the outside of the cell is formulated. This will lead to an efficient method for kinetic energy transfer to chromosomes by finding the resonant frequencies of the cell system. There is a possibility that the increased kinetic energy in one chromosome will affect the cell as a whole, thereby interrupting the mitosis by the mechanisms that are discussed in this report. Rough calculation shows that the vibration in the frequency range of 22–50 kHz is effective for controlling the mitosis of human cells.