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Aggregation–fragmentation model of vesicular transport in neurons
File(s)
aggregationR1.pdf (347.8 KB)
Accepted version
Author(s)
Bressloff, Paul C
Type
Journal Article
Abstract
We develop a mathematical model of the motor-based transport and delivery of vesicles to synaptic targets of an axon. Our model incorporates the 'stop-and-go' nature of bidirectional motor transport (which can be modeled in terms of advection–diffusion) and the reversible exchange of vesicles between motors and targets, both of which have been observed experimentally. Since motor-target interactions are reversible, it is necessary to keep track of the cluster size of vesicles bound to each motor-complex. This naturally leads to a modified version of the Becker–Doring model of aggregation–fragmentation processes. We analyze steady-state solutions of the transport model and obtain an explicit solution that supports a uniform distribution of synaptic resources along an axon. We thus establish a possible mechanism for the democratic distribution of synaptic resources along the length of an axon, based on reversible motor-target interactions. In the irreversible case, one finds that the motor-driven transport of newly synthesized proteins from the soma to presynaptic targets along the axon tends to favor the delivery of resources to more proximal synapses.
Date Issued
2016-04-08
Date Acceptance
2016-02-09
Citation
Journal of Physics A: Mathematical and Theoretical, 2016, 49 (14)
URI
URL
DOI
ISSN
1751-8113
Publisher
IOP Publishing
Journal / Book Title
Journal of Physics A: Mathematical and Theoretical
Volume
49
Issue
14
Copyright Statement
Copyright © 2016 IOP Publishing Ltd. This is an author-created, un-copyedited version of an article published in Journal of Physics A: Mathematical and Theoretical. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at 10.1088/1751-8113/49/14/145601
Identifier
http://dx.doi.org/10.1088/1751-8113/49/14/145601
Publication Status
Published
Article Number
145601
Date Publish Online
2016-02-26