The morphology of a bleb and its changes are critical to the amoeboid migration of a cell. By releasing bonds between the membrane and the cortex of a cell, the formation of a bleb can be observed experimentally, but the mechanism that affects the size and shape of a bleb during amoeboid migration requires further study. In this study, by adapting the governing equations and discrete equations of the two-dimensional fluid–solid coupling model recommended by Strychalski and Guy [2013 “A computational model of bleb formation,” Mathematical Medicine and Biology 30(2), 115–130], we overcome the defect that the bleb by traditional means is always too small compared with experimental results, and simulate the behaviors of cell blebs successfully. The effects of various parameters such as the number of broken bonds, the viscosity coefficient of the cortex, and the cell’s membrane modulus on the size and the shape of the bleb are investigated. Numerical results show that the model effectively simulates the formation and evolution of a bleb, thus, the contributions of several factors to bleb shape and size are successfully derived.

中文翻译：

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气泡形成和演化的数值模型

泡的形态及其变化对细胞的变形虫迁移至关重要。通过释放细胞膜和皮层之间的键，可以通过实验观察泡的形成，但在变形虫迁移过程中影响泡大小和形状的机制需要进一步研究。在这项研究中，通过采用 Strychalski 和 Guy [2013 “气泡形成的计算模型”推荐的二维流固耦合模型的控制方程和离散方程，数理医学与生物学 30(2), 115-130]，我们克服了传统方法的气泡与实验结果相比总是太小的缺陷，成功地模拟了细胞气泡的行为。研究了断裂键数、皮层黏度系数和细胞膜模量等各种参数对气泡大小和形状的影响。数值结果表明，该模型有效地模拟了气泡的形成和演化，从而成功推导出了多个因素对气泡形状和大小的贡献。