RESUMO
A lot of experimental findings have confirmed that: Animal cells acquire a spherical shape just before the division; Under biochemical stimulus of mitotic apparatus aster the cells form a contractile ring in equator plane, and the mother cell divides into two daughter cells; meanwhile the total volume keeps constant. In Zinemanas and Nir's model the reorientation of microfilament and the visco-elasticity of cortex have been took into consideration. In our present work, the effective coefficient m due to biochemical stimulus was incorporated into the model, and the local distribution C was modified to diffuse with the plasma membrane motion. The numerical results showed that the formation of a contractile ring and parameters such as the surface tension in the furrow and internal pressure can be predicted successfully. Compared with Zinemanas and Nir's model, the results of our model are more correspondent with the experimental results. It can be concluded that the effective coefficient m has limited effects on the process control of cytokinesis.