Pressure-driven membrane inflation through nanopores on the cell wall
Qi Zhong(钟祺)1, Chen-Xu Wu(吴晨旭)1,2, and Rui Ma(马锐)1,2,†
1. Department of Physics, College of Physical Science and Technology, Xiamen University, Xiamen 361005, China; 2. Fujian Provincial Key Laboratory for Soft Functional Materials Research, Research Institute for Biomimetics and Soft Matter, Xiamen University, Xiamen 361005, China
Abstract Walled cells, such as in plants and fungi, compose an important part of the model systems in biology. The cell wall primarily prevents the cell from over-expansion when exposed to water, and is a porous material distributed with nanosized pores on it. In this paper, we study the deformation of a membrane patch by an osmotic pressure through a nanopore on the cell wall. We find that there exists a critical pore size or a critical pressure beyond which the membrane cannot stand against the pressure and would inflate out through the pore and further expand. The critical pore size scales linearly with the membrane tension and quadratically with the spontaneous curvature. The critical pressure is inversely proportional to the pore radius. Our results also show that the fluid membrane expansion by pressure is mechanically different from the solid balloon expansion, and predict that the bending rigidity of the membrane in walled cells should be much larger than that of the mammalian cells so as to prevent membrane inflation through the pores on the cell wall.
Fund: We acknowledge financial support from the National Natural Science Foundation of China (Grant No.12004317), Fundamental Research Funds for Central Universities of China (Grant No.20720200072), and 111 Project (Grant No.B16029).
Corresponding Authors:
Rui Ma
E-mail: ruima@xmu.edu.cn
Cite this article:
Qi Zhong(钟祺), Chen-Xu Wu(吴晨旭), and Rui Ma(马锐) Pressure-driven membrane inflation through nanopores on the cell wall 2023 Chin. Phys. B 32 088704
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