为研究单个叶肉细胞在缺水条件下的力学行为,利用有限元方法(FEA)建立了符合生理学特征的叶肉细胞力学模型——内部充满液体的球形细胞力学模型。根据水分代谢方程,计算出由于蒸腾作用而产生叶肉细胞膨压变化量,对单个细胞进行受力分析,得到细胞壁上任一点的膨压随时间变化的动力学方程,通过该模型得到膨压改变与单细胞变形之间的关系。仿真结果表明:在细胞内膨压随时间从200 kPa减小到120 kPa过程中,细胞半径从3.55×10-5 m减小到2.42×10-5 m;同时可以看出细胞壁的力学性能参数对细胞的变形有明显的影响:穆尼材料常数C1分别取0.71、.0、1.5 MPa时,细胞在初始膨压200 kPa作用下的细胞半径大小分别为3.58×10-5、3.30×10-5、3.13×10-5 m;穆尼材料常数C2分别取0.10、0.15、0.20 MPa时,细胞在初始膨压200 kPa作用下细胞大小分别为1.41×10-5、1.22×10-5、1.10×10-5 m。
A mechanical model of a cell was established by using finite element technique to study mechanical behavior of the cell on condition that the plant was water stressed.Based on the biophysical equation,the change of the turgor pressure in cell caused by transpiration was obtained.Then the dynamics equation of turgor pressure was got.The result showed the relation between the turgor pressure and the deformation of the cell.The results also showed that the radius of the cell decreased from 3.55×10-5 m to 2.42×10-5 m nonlinearly when the turgor pressure changed from 200 kPa to 120 kPa linearly;and the deformation was influenced by material mechanical parameter of cell wall.The radius of the cell was 3.58×10-5 m,3.30×10-5 m,3.13×10-5 m respectively as the Mooney-Rivlin constant(C1) was 0.7 MPa,1.0 MPa,1.5 MPa when the turgor pressure was 200 kPa;the radius of the cell was 1.41×10-5 m,1.22×10-5 m,1.10×10-5 m.respectively as the Mooney-Rivlin constant(C2) was 0.10 MPa,0.15 MPa,0.20 MPa when the turgor pressure was 200 kPa.