Zhelev D V, Needham D, Hochmuth R M
Department of Mechanical Engineering and Materials Science, Duke University, Durham, North Carolina 27708-0300.
Biophys J. 1994 Aug;67(2):696-705. doi: 10.1016/S0006-3495(94)80529-6.
The simplest model for a neutrophil in its "passive" state views the cell as consisting of a liquid-like cytoplasmic region surrounded by a membrane. The cell surface is in a state of isotropic contraction, which causes the cell to assume a spherical shape. This contraction is characterized by the cortical tension. The cortical tension shows a weak area dilation dependence, and it determines the elastic properties of the cell for small curvature deformations. At high curvature deformations in small pipets (with internal radii less than 1 micron), the measured critical suction pressure for cell flow into the pipet is larger than its estimate from the law of Laplace. A model is proposed where the region consisting of the cytoplasm membrane and the underlying cortex (having a finite thickness) is introduced at the cell surface. The mechanical properties of this region are characterized by the apparent cortical tension (defined as a free contraction energy per unit area) and the apparent bending modulus (introduced as a bending free energy per unit area) of its middle plane. The model predicts that for small curvature deformations (in pipets having radii larger than 1.2 microns) the role of the cortical thickness and the resistance for bending of the membrane-cortex complex is negligible. For high curvature deformations, they lead to elevated suction pressures above the values predicted from the law of Laplace. The existence of elevated suction pressures for pipets with radii from 1 micron down to 0.24 micron is found experimentally. The measured excess suction pressures cannot be explained only by the modified law of Laplace (for a cortex with finite thickness and negligible bending resistance), because it predicts unacceptable high cortical thicknesses (from 0.3 to 0.7 micron). It is concluded that the membrane-cortex complex has an apparent bending modulus from 1 x 10(-18) to 2 x 10(-18) J for a cortex with a thickness from 0.1 micron down to values much smaller than the radius of the smallest pipet (0.24 micron) used in this study.
中性粒细胞“被动”状态的最简单模型将细胞视为由被膜包围的类液体细胞质区域组成。细胞表面处于各向同性收缩状态,这使得细胞呈球形。这种收缩的特征是皮层张力。皮层张力表现出对面积扩张的微弱依赖性,并且它决定了细胞在小曲率变形时的弹性特性。在小吸管(内径小于1微米)中的高曲率变形情况下,测量到的细胞流入吸管的临界抽吸压力大于根据拉普拉斯定律的估计值。提出了一个模型,其中在细胞表面引入了由细胞质膜和下面的皮层(具有有限厚度)组成的区域。该区域的力学特性由其中间平面的表观皮层张力(定义为单位面积的自由收缩能)和表观弯曲模量(作为单位面积的弯曲自由能引入)来表征。该模型预测,对于小曲率变形(在半径大于1.2微米的吸管中),皮层厚度和膜 - 皮层复合体的弯曲阻力的作用可忽略不计。对于高曲率变形,它们会导致抽吸压力高于根据拉普拉斯定律预测的值。实验发现,对于内径从1微米到0.24微米的吸管存在升高的抽吸压力。测得的额外抽吸压力不能仅用修正的拉普拉斯定律(对于具有有限厚度且弯曲阻力可忽略不计的皮层)来解释,因为它预测的皮层厚度高得不可接受(从0.3到0.7微米)。得出的结论是,对于厚度从0.1微米到远小于本研究中使用的最小吸管半径(0.24微米)的值的皮层,膜 - 皮层复合体的表观弯曲模量为1×10^(-18)至2×10^(-18)焦耳。