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缺水條件下植物細胞力學模型研究
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國家自然科學基金資助項目(31071327)和江蘇高校優(yōu)勢學科建設(shè)工程資助項目(蘇財教(2011)8號)


Mechanical Model of Cell in Water Stressed Plant
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    摘要:

    為研究單個葉肉細胞在缺水條件下的力學行為,利用有限元方法(FEA)建立了符合生理學特征的葉肉細胞力學模型——內(nèi)部充滿液體的球形細胞力學模型。根據(jù)水分代謝方程,計算出由于蒸騰作用而產(chǎn)生葉肉細胞膨壓變化量,對單個細胞進行受力分析,得到細胞壁上任一點的膨壓隨時間變化的動力學方程,通過該模型得到膨壓改變與單細胞變形之間的關(guān)系。仿真結(jié)果表明:在細胞內(nèi)膨壓隨時間從200 kPa減小到120 kPa過程中,細胞半徑從3.55×10-5 m減小到2.42×10-5 m;同時可以看出細胞壁的力學性能參數(shù)對細胞的變形有明顯的影響:穆尼材料常數(shù)C1分別取0.7、1.0、1.5MPa時,細胞在初始膨壓200kPa作用下的細胞半徑大小分別為3.58×10-5、3.30×10-5、3.13×10-5m;穆尼材料常數(shù)C2分別取0.10、0.15、0.20 MPa時,細胞在初始膨壓200 kPa作用下細胞大小分別為1.41×10-5、1.22×10-5、1.10×10-5 m。

    Abstract:

    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. 

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李青林,毛罕平,李萍萍,顧寄南.缺水條件下植物細胞力學模型研究[J].農(nóng)業(yè)機械學報,2011,42(10):167-170,175. Li Qinglin, Mao Hanping,Li Pingping, Gu Ji’nan. Mechanical Model of Cell in Water Stressed Plant[J]. Transactions of the Chinese Society for Agricultural Machinery,2011,42(10):167-170,175.

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