Discreetness of a cell is the key to life, with the cell membrane separating the interior cytosol from its environment. In this regard, cytosol is never connected to the external media even during the course of cell fission or fusion. However, watersoluble peptides called protein transduction domain (PTD) can spontaneously translocate through the cell membranes without any particular transporter or receptor. Here, we propose that the translocation of PTD can be described based on a local and temporal dynamic topological transformation of the membrane structure to mesh phase.Biological membrane functions as a protection for the interior cytosol from the exterior environment to execute normal biological functions of the cell. In recent years, however, watersoluble membrane-permeable substances, namely, protein transduction domain (PTD), 1 which can penetrate cell membrane without any particular transporter or receptor, have become known. Examples of PTD include peptides with plurality of arginine units that are often found in natural DNA-and RNAbinding peptide segments such as HIV TAT peptide. 26 Since no crucial perturbation of cell viability accompanies the translocation of PTD through the biological membranes, it would be a promising drug delivery system if we could find a way to control this phenomenon. As such, various applications of PTD in drug delivery have been proposed in which PTDs are combined with a drug (like a cargo) and are expected to penetrate through a biological membrane together with the drug. Although a handful of data are reported for trans-membrane trafficking of varieties of PTD molecules with different types of cargos, no conclusive mechanism has been established. Hence, clear understanding of the mechanism and the way to control PTD penetration is of great interest, and this is the objective of this research.Cell membranes have a bilayer lamellar structure with L¡-type lyotropic liquid crystal (LC) phase. An LC consists of organized aqueous solution consisting of amphiphilic lipids. This L¡ phase makes the cell membranes flexible enough to accommodate the change in shape of cells while still maintaining the ordered-lipid-orientation barriers. We have investigated the peculiar translocation of PTD through the cell membranes with the viewpoint of physicochemical phase transition of LC rather than from the biological viewpoint adopted for various types of endocytosis. 4 In general, LC with a highly ordered self-organized amphiphiles has a variety of structures such as hexagonal, cubic, or lamellar. The topology of each LC is determined by a molecular geometry parameter of the amphiphile called critical packing parameter (CPP), defined by Israelachvili et al.,7 and this CPP corresponds to the proportion of hydrophilic and hydrophobic part in the amphiphile. CPP correlates to the surface curvature of the molecular assembly of the LC, and is determined from the structure of the amphiphile constituting the LC. If the cross sectional area per molecule at the hydrophilichydrophobic interface be ...