Acta Chimica Sinica ›› 2013, Vol. 71 ›› Issue (08): 1183-1188.DOI: 10.6023/A13030266 Previous Articles    

Article

相场动力学模型研究细胞运动中的形态变化

刘专, 郭坤琨   

  1. 湖南大学材料科学与工程学院 长沙 410082
  • 收稿日期:2013-03-11 出版日期:2013-08-14 发布日期:2013-05-06
  • 通讯作者: 郭坤琨, E-mail: kunkunguo@hnu.edu.cn E-mail:kunkunguo@hnu.edu.cn
  • 基金资助:

    项目受国家自然科学基金(Nos. 21004018, 21274038)和中央高校基本科研业务费资助.

Cell Morphodynamics via Phase Field Dynamics Model

Liu Zhuan, Guo Kunkun   

  1. College of Materials Science and Technology, Hunan University, Changsha 410082
  • Received:2013-03-11 Online:2013-08-14 Published:2013-05-06
  • Supported by:

    Project supported by the National Natural Science Foundation of China (Nos. 21004018, 21274038) and the Fundamental Research Funds for the Central Universities.

Cell motion is a complex biological process that involves the cooperative interactions between the cytoskeleton and cell membrane, and these interactions generally include these interactive energies generated from the surface tension and the bending elastic energy of the cell membrane, the “protrusive” and “contractile” forces separately driven by actin polymerization into cytoskeletons and myosin contraction, and the adhesion between the cell and the substrate. Herein, one computational model based on the phase field method and the reaction-diffusion model is subsequently developed to describe this complicated biological process, coupling the cell movement and cell morphologenis with the dynamic behaviors of actin assemble into actin filaments, the physiological functions of myosin, and the interaction between the cell and the substrate. In the computational model for cell motion, the moving boundary with physical membrane properties is proposed to numerically solve the problem involved in the computational efficiency. The fish keratocytes, fast moving cells that maintain their morphology, are applied in the present study, and the related system parameters are chosen. The steady state and movement velocity of cells are obtained with a wide range of aspect ratios and movement velocities in the computational model, which are found to be well in agreement with the associated experimental results in vitro. In addition, the dependences of the movement velocity and the steady state of the cells are in detail studied on system parameters that are the concentrations of the actin and myosin, as well as the actin rate constants. It will be straightforward to extend this method to more complicated systems, such as cell contraction, cell division, and cell movement in actin flow and shear flow.

Key words: cell motion, cell morphology, actin, myosin, phase field method