Journal of Biological Physics

, Volume 40, Issue 1, pp 41–53 | Cite as

Modeling anterograde and retrograde transport of short mobile microtubules from the site of axonal branch formation

  • I. A. Kuznetsov
  • A. V. Kuznetsov
Original Paper


This theoretical research is motivated by a recent model of microtubule (MT) transport put forward by Baas and Mozgova (Cytoskeleton 69:416–425, 2012). According to their model, in an axon all plus-end-distal mobile MTs move anterogradely while all minus-end-distal mobile MTs move retrogradely. Retrograde MT transport thus represents a mechanism by which minus-end-distal MTs are removed from the axon. We suggested equations that implement Baas and Mozgova’s model. We employed these equations to simulate transport of short mobile MTs from a region (such as the site of axonal branch formation) where MT severing activity results in generation of a large number of short MTs of both orientations. We obtained the exact and approximate transient solutions of these equations utilizing the Laplace transform technique. We applied the obtained solutions to calculate the average rates of anterograde and retrograde transport of short MTs.


Microtubule transport Neurons Molecular motors Exact solution 



The authors are indebted to the anonymous reviewers for their constructive comments. AVK gratefully acknowledges support of the Alexander von Humboldt Foundation though the Humboldt Research Award.


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Copyright information

© Springer Science+Business Media Dordrecht 2013

Authors and Affiliations

  1. 1.Department of Biomedical EngineeringJohns Hopkins UniversityBaltimoreUSA
  2. 2.Department of Mechanical and Aerospace EngineeringNorth Carolina State UniversityRaleighUSA

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