Random Walk Model for Single-File Transport of Water Molecules through Carbon Nanotubes

2003 ◽  
Author(s):  
Alexander Berezhkovskii
Keyword(s):  
Carbon Nanotubes ◽  
Random Walk ◽  
Random Walk Model ◽  
Water Molecules ◽  
Single File ◽  
Single File Transport

Structure, dynamics and thermodynamics of single-file water under confinement: effects of polarizability of water molecules

RSC Advances ◽  
2015 ◽  
Vol 5 (3) ◽  
pp. 1893-1901 ◽  
Author(s):  
Hemant Kumar ◽  
Chandan Dasgupta ◽  
Prabal K. Maiti
Keyword(s):  
Carbon Nanotubes ◽  
Thermodynamic Properties ◽  
Single Wall Carbon Nanotubes ◽  
Water Molecules ◽  
Confinement Effects ◽  
Structural Dynamic ◽  
Single Wall Carbon ◽  
Structure Dynamics ◽  
Single File ◽  
Water Models

Various structural, dynamic and thermodynamic properties of water molecules confined in single-wall carbon nanotubes are investigated using both polarizable and non-polarizable water models.

scholarly journals Water permeability of gramicidin A-treated lipid bilayer membranes.

1978 ◽  
Vol 72 (3) ◽  
pp. 341-350 ◽  
Author(s):  
P A Rosenberg ◽  
A Finkelstein
Keyword(s):  
Water Permeability ◽  
Permeability Coefficient ◽  
Pore Radius ◽  
Gramicidin A ◽  
Water Molecules ◽  
Lipid Bilayer Membranes ◽  
Bilayer Membranes ◽  
Single File ◽  
Water Permeability Coefficient ◽  
Single File Transport

In membranes containing aqueous pores (channels), the osmotic water permeability coefficient, P f, is greater than the diffusive water permeability coefficient, P d. In fact, the magnitude of P f/P d is commonly used to determine pore radius. Although, for membranes studied to date, P f/P d monotonically declines with decreasing pore radius, there is controversy over the value it theoretically assumes when that radius is so small that water molecules cannot overtake one another within the channel (single-file transport). In one view it should equal 1, and in another view it should equal N, the number of water molecules in the pore. Gramicidin A forms, in lipid bilayer membranes, narrow aqueous channels through which single-file transport may occur. For these channels we find that P f/P d approximately 5. In contrast, for the wider nystatin and amphotericin B pores, P f/P d approximately 3. These findings offer experimental support for the view that P f/P d = N for single-file transport, and we therefore conclude that there are approximately five water molecules in a gramicidin A channel. A similar conclusion was reached independently from streaming potential data. Using single-channel conductance data, we calculate the water permeability of an individual gramicidin A channel. In the Appendix we report that there is a wide range of channel sizes and lifetimes in cholesterol-containing membranes.

A Multi-Label Classification Algorithm Based on Random Walk Model

2010 ◽  
Vol 33 (8) ◽  
pp. 1418-1426 ◽  
Author(s):  
Wei ZHENG ◽  
Chao-Kun WANG ◽  
Zhang LIU ◽  
Jian-Min WANG
Keyword(s):  
Random Walk ◽  
Classification Algorithm ◽  
Random Walk Model
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