Abstract The formation of through pores in lipid bilayer membranes occurs in a number of cellular processes and is also applied for biotechnological and biomedical purposes. In the classical theory of pore formation, diffusion of membrane defects in space of radii is considered. When the first pore reaches a critical radius, the membrane irreversibly ruptures. It is usually presumed that the diffusion of defects occurs independently; their possible lateral interactions are not taken into account. In this paper, we consider a possible influence of lateral interactions of metastable through pores on their kinetics. It is assumed that the interaction occurs due to the overlap of elastic deformation fields arising at the edges of two pores. The interaction energy of two circular pores was calculated in the Derjaguin approximation for rapidly decaying potentials. The unidimensional potential of interaction of two linear parallel edges of pores formed in membranes of different lipid composition was calculated in the framework of the theory of elasticity of liquid crystals adapted to lipid membranes. It is shown that this interaction should lead to a considerable reduction of the measured line tension of the pore edge. In addition, the lifetime of two optimally situated metastable pores can increase approximately 10 times due to the interaction. Extrapolation of the obtained results to the case of a larger number of interacting pores makes it possible to predict an additional increase in the lifetime by one or two orders of magnitude.

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横向相互作用影响脂质膜中亚稳态孔的动力学

摘要 脂质双层膜中通孔的形成发生在许多细胞过程中，也用于生物技术和生物医学目的。在孔形成的经典理论中，考虑了膜缺陷在半径空间中的扩散。当第一个孔达到临界半径时，膜不可逆地破裂。通常假定缺陷的扩散是独立发生的；不考虑它们可能的横向相互作用。在本文中，我们考虑了亚稳态通孔的横向相互作用对其动力学的可能影响。假设相互作用是由于在两个孔隙边缘产生的弹性变形场的重叠而发生的。两个圆形孔的相互作用能在快速衰减电位的 Derjaguin 近似中计算。在适应脂质膜的液晶弹性理论的框架内计算了在不同脂质成分的膜上形成的孔的两个线性平行边缘相互作用的一维电位。结果表明，这种相互作用会导致孔边缘测量线张力的显着降低。此外，由于相互作用，两个处于最佳位置的亚稳态孔的寿命可增加约 10 倍。将获得的结果外推到大量相互作用的孔隙的情况下，可以预测寿命额外增加一到两个数量级。在适应脂质膜的液晶弹性理论的框架内计算了在不同脂质成分的膜上形成的孔的两个线性平行边缘相互作用的一维电位。结果表明，这种相互作用会导致孔边缘测量线张力的显着降低。此外，由于相互作用，两个处于最佳位置的亚稳态孔的寿命可增加约 10 倍。将获得的结果外推到大量相互作用的孔隙的情况下，可以预测寿命额外增加一到两个数量级。在适应脂质膜的液晶弹性理论的框架内计算了在不同脂质成分的膜上形成的孔的两个线性平行边缘相互作用的一维电位。结果表明，这种相互作用会导致孔边缘测量线张力的显着降低。此外，由于相互作用，两个处于最佳位置的亚稳态孔的寿命可增加约 10 倍。将获得的结果外推到大量相互作用的孔隙的情况下，可以预测寿命额外增加一到两个数量级。