A model for slow axonal transport and its application to neurofilamentous neuropathies

Blum, J. J.; Reed, Michael C.

doi:10.1002/cm.970120107

Cited by 34 publications

(16 citation statements)

References 59 publications

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“…(4.18) (Blum and Reed, 1989;Craciun et al, 2005;Reed et al, 1990). For example, Blum and Reed (1989) considered the following system on the semi-infinite domain 0 ≤ x < ∞:…”

Section: Quasi-steady-state (Qss) Reduction Of Pde Models Of Activmentioning

confidence: 99%

Stochastic models of intracellular transport

2013

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The interior of a living cell is a crowded, heterogenuous, fluctuating environment. Hence, a major challenge in modeling intracellular transport is to analyze stochastic processes within complex environments. Broadly speaking, there are two basic mechanisms for intracellular transport: passive diffusion and motor-driven active transport. Diffusive transport can be formulated in terms of the motion of an over-damped Brownian particle. On the other hand, active transport requires chemical energy, usually in the form of ATP hydrolysis, and can be direction specific, allowing biomolecules to be transported long distances; this is particularly important in neurons due to their complex geometry. In this review we present a wide range of analytical methods and models of intracellular transport. In the case of diffusive transport, we consider narrow escape problems, diffusion to a small target, confined and single-file diffusion, homogenization theory, and fractional diffusion. In the case of active transport, we consider Brownian ratchets, random walk models, exclusion processes, random intermittent search processes, quasisteady-state reduction methods, and mean field approximations. Applications include receptor trafficking, axonal transport, membrane diffusion, nuclear transport, protein-DNA interactions, virus trafficking, and the self-organization of subcellular structures.

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“…(4.18) (Blum and Reed, 1989;Craciun et al, 2005;Reed et al, 1990). For example, Blum and Reed (1989) considered the following system on the semi-infinite domain 0 ≤ x < ∞:…”

Section: Quasi-steady-state (Qss) Reduction Of Pde Models Of Activmentioning

confidence: 99%

Stochastic models of intracellular transport

2013

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“…A mathematical model for slow axonal transport has been proposed by Blum and Reed (1989). The model assumed the existence of a hypothetical engine that moves at a constant velocity.…”

Section: Introductionmentioning

confidence: 99%

A dynamical system model of neurofilament transport in axons

Crăciun

Brown

Friedman

2005

Journal of Theoretical Biology

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We develop a dynamical system model for the transport of neurofilaments in axons, inspired by Brown's "stop-and-go" model for slow axonal transport. We use fast/slow time-scale arguments to lower the number of relevant parameters in our model. Then, we use experimental data of Wang and Brown to estimate all but one parameter. We show that we can choose this last remaining parameter such that the results of our model agree with pulse-labeling experiments from three different nerve cell types, and also agree with stochastic simulation results.

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“…8, 151 (1996). 17 784 19. Scanning electron micrograph microprobe samples were prepared in an argon-filled inert-atmosphere box and loaded for analysis with a minimum of air exposure (<30 s).…”

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confidence: 99%

Visualization of Slow Axonal Transport in Vivo

Terada

Nakata

Peterson

et al. 1996

Science

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In axons, cytoskeletal constituents move by slow transport. However, it remains controversial whether axonal neurofilaments are dynamic structures in which only subunits are transported or whether filaments assemble in the proximal axon and are transported intact as polymers to the axon terminus. To investigate the form neurofilament proteins take during transport, neurons of transgenic mice lacking axonal neurofilaments were infected with a recombinant adenoviral vector encoding epitope-tagged neurofilament M. Confocal and electron microscopy revealed that the virally encoded neurofilament M was transported in unpolymerized form along axonal microtubules. Thus, neurofilament proteins are probably transported as subunits or small oligomers along microtubules, which are major routes for slow axonal transport.

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A model for slow axonal transport and its application to neurofilamentous neuropathies

Cited by 34 publications

References 59 publications

Stochastic models of intracellular transport

Stochastic models of intracellular transport

A dynamical system model of neurofilament transport in axons

Visualization of Slow Axonal Transport in Vivo

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