A four kinetic state model of fast axonal transport: Model formulation and perturbation solution

• Authors: Andrey Kuznetsov
• Languages of publication: EN

Abstracts

EN

This paper formulates a four kinetic state model for fast axonal transport. The paper further develops the Smith-Simmons model that is based on equations governing intracellular molecular-motor-assisted transport; these equations are extended by considering four rather than three kinetic states for organelles. The model considers plus-end and minus-end-oriented organelles that can be either free (suspended in the cytosol) or attached to microtubules (MTs) (in the latter case organelles are transported by molecular motors). The paper then develops a method for uncoupling differential equations of the proposed model. A perturbation solution of this problem is obtained. The effect of transition between plus-end-oriented and minus-end oriented organelles is discussed. The accuracy of the obtained perturbation solution is evaluated by comparing the zero-order and the first-order results with a high-accuracy numerical solution.

Keywords

EN

molecular motors; fast axonal transport; intracellular organelles; perturbation solution

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2011
• Volume: 9
• Issue: 1
• Pages: 146-156

Dates

published

1 - 2 - 2011

online

24 - 9 - 2010

Contributors

author

Andrey Kuznetsov

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

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Identifiers

DOI

10.2478/s11534-010-0032-x