Analytical investigation of transient molecular-motor-assisted transport in elongated cells

• Authors: Andrey Kuznetsov , Andriy Avramenko
• Languages of publication: EN

Abstracts

EN

This paper investigates analytically the molecular-motor-assisted transport between the cell nucleus and cell membrane in an elongated cell, which allows the formulation of governing equations in a cylindrical coordinate system. This problem is relevant to biomimetic transport systems as well as to many biological processes occurring in living cells, such as the viral infection of a cell. The obtained analytical solution is shown to agree well with a high-accuracy numerical solution of the same problem. The developed analytical technique extends the applicability of the generalized Fourier series method to a new type of problems involving intracellular transport of organelles.

Keywords

EN

molecular motors; motor-assisted transport; intracellular trafficking; separation of variables; generalized Fourier series solution

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2008
• Volume: 6
• Issue: 1
• Pages: 45-51

Dates

published

1 - 3 - 2008

online

26 - 3 - 2008

Contributors

author

Andrey Kuznetsov

• Department of Mechanical and Aerospace Engineering North Carolina State University Campus, Box 7910, Raleigh, NC, 27695-7910, USA

author

Andriy Avramenko

• Institute of Engineering Thermophysics National Academy of Sciences, 03057, Kiev, Ukraine

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Identifiers

DOI

10.2478/s11534-008-0009-1