Analytical comparison between Nixon–Logvinenko’s and Jung–Brown’s theories of slow neurofilament transport in axons

Кузнецов, И. А.; Кузнецов, А. В.

doi:10.1016/j.mbs.2013.08.001

Cited by 4 publications

(5 citation statements)

References 40 publications

(90 reference statements)

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“…The dynamics of NF transport have been mathematically modeled ( Brown et al, 2005 ; Craciun et al, 2005 ). This model describes a pool of NFs associated with motors (‘on’), a pool that is dissociated from motors (‘off’) but can readily re-associate with them, and a third pool (‘away’) that is in some manner restricted from entering the pool of NFs which can reversibly associate with motors ( Brown et al, 2005 ; Craciun et al, 2005 ; Trivedi et al, 2007 ; Kuznetsov and Kuznetsov, 2013 ). The findings of the present study provide further evidence that phospho-mediated formation of NF-NF associations, which withdraw NFs at least transiently from the transporting pool ( Lee et al, 2011a ; Kushkuley et al, 2009 ; Sunil et al, 2012 ; Yabe et al, 2001a , b ), represents the pool of NFs that is characterized as ‘away’ in modeling.…”

Section: Discussionmentioning

confidence: 99%

Assembly and turnover of neurofilaments in growing axonal neurites

et al. 2017

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Neurofilaments (NFs) are thought to provide stability to the axon. We examined NF dynamics within axonal neurites of NB2a/d1 neuroblastoma by transient transfection with green fluorescent protein-tagged NF-heavy (GFP-H) under the control of a tetracycline-inducible promoter. Immunofluorescent and biochemical analyses demonstrated that GFP-H expressed early during neurite outgrowth associated with a population of centrally-situated, highly-phosphorylated crosslinked NFs along the length of axonal neurites (‘bundled NFs’). By contrast, GFP-H expressed after considerable neurite outgrowth displayed markedly reduced association with bundled NFs and was instead more evenly distributed throughout the axon. This differential localization was maintained for up to 2 weeks in culture. Once considerable neurite outgrowth had progressed, GFP that had previously associated with the NF bundle during early expression was irreversibly depleted by photobleaching. Cessation of expression allowed monitoring of NF turnover. GFP-H associated bundled NFs underwent slower decay than GFP-H associated with surrounding, less-phosphorylated NFs. Notably, GFP associated with bundled NFs underwent similar decay rates within the core and edges of this bundle. These results are consistent with previous demonstration of a resident NF population within axonal neurites, but suggest that this population is more dynamic than previously considered.

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Section: Discussionmentioning

confidence: 99%

Assembly and turnover of neurofilaments in growing axonal neurites

et al. 2017

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“…Mathematical models based on population dynamics approaches have been proposed to decipher the collective motion of IFs in cells; see e.g. [18,19,20,21,22]. However, to the best of our knowledge, there is only one model for the motion of IFs associated with microtubules and it is concerned with segregation of axonal microtubules and neurofilaments [20].…”

Section: Introductionmentioning

confidence: 99%

Stochastic modeling reveals how motor protein and filament properties affect intermediate filament transport

Dallon

Leduc

Etienne-Manneville

et al. 2019

Journal of Theoretical Biology

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Intermediate filaments are a key component of the cytoskeleton. Their transport along microtubules plays an essential role in the control of the shape and structural organization of cells. To identify the key parameters responsible for the control of intermediate filament transport, we generated a model of elastic filament transport by microtubule-associated dynein and kinesin. The model is also applicable to the transport of any elastically-coupled cargoes. We investigate the effect of filament properties such as number of motor binding sites, length, and elasticity on motion of filaments. Additionally, we consider the effect of motor properties, i.e. off rates, on filament transport. When one motor has a catch bond off rate it dictates the motion, whereas when motors have the same type of off rate filaments can alternate between retrograde and anterograde motions. The elasticity of filaments optimizes the filament transport and the coordination of motors along the length of the filament.

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“…The effort required for coding the analytical solution is significantly less than the effort that would be required for numerical solution of the system of partial differential (1)-(4) by using a finite difference method. We implemented (23), (24) and (26), (27) using the software package Mathematica 9.0 (Wolfram Research, Champaign, IL). Numerical integration was implemented via the built-in function NIntegrate.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…In this research, we assumed that all mobile MTs are transported as part of slow comportment "a". However, a portion of tubulin, at least in some neurons, moves in slow component "b" (that is 5-10 times faster) [2,[25][26][27]. Future models should account for both populations of mobile MTs, those moving in slow component "a" and those moving in slow component "b".…”

Section: Discussionmentioning

confidence: 99%

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

Кузнецов

2013

J Biol Phys

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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.

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Analytical comparison between Nixon–Logvinenko’s and Jung–Brown’s theories of slow neurofilament transport in axons

Cited by 4 publications

References 40 publications

Assembly and turnover of neurofilaments in growing axonal neurites

Assembly and turnover of neurofilaments in growing axonal neurites

Stochastic modeling reveals how motor protein and filament properties affect intermediate filament transport

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

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