A Theoretical Approach to the Analysis of Axonal Transport

Overview

Journal Biophys J

Publisher Cell Press

Specialty Biophysics

Date 1980 Apr 1

PMID 6167296

Citations 4

Authors

S I Rubinow

J J Blum

Affiliations

Soon will be listed here.

Abstract

A theoretical model of intra-axonal transport is proposed that presupposes a carrier system moving down the axon in a distal direction. Protein and particle transport is achieved by their reversible association with the distally moving carriers. Mathematical equations representing the concentrations of moving carriers and proteins and/or particles within the axon at any position and time are proposed. Analysis of the equations demonstrates that a traveling wave solution for the particle concentration (an experimental fact) is possible provided the chemical interaction between particles and carriers exhibits positive cooperativity. The phase velocity of the wave solution is interpreted as the observed velocity of the intra-axonal transport, known to be independent of position of observation. In addition, the theory predicts a spectrum of transport velocities for different proteins, in agreement with observations. The velocity of a given protein is dependent on its affinity to the carrier.

Citing Articles

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Oscillatory motion of intra-axonal organelles of Xenopus laevis following inhibition of their rapid transport.

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A study of the motion of organelles which undergo retrograde and anterograde rapid axonal transport in Xenopus.

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Dependence of fast axonal transport on the local concentration of organelles.

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References

SCHMITT F . Fibrous proteins--neuronal organelles. Proc Natl Acad Sci U S A. 1968; 60(4):1092-101. PMC: 224885. DOI: 10.1073/pnas.60.4.1092. View

Lasek R . Axonal transport of proteins in dorsal root ganglion cells of the growing cat: A comparison of growing and mature neurons. Brain Res. 1970; 20(1):121-6. DOI: 10.1016/0006-8993(70)90160-5. View

Edstrom A, Mattsson H . Fast axonal transport in vitro in the sciatic system of the frog. J Neurochem. 1972; 19(1):205-21. DOI: 10.1111/j.1471-4159.1972.tb01270.x. View

GRAFSTEIN B . Axonal transport: communication between soma and synapse. Adv Biochem Psychopharmacol. 1969; 1:11-25. View

Ochs S . Fast transport of materials in mammalian nerve fibers. Science. 1972; 176(4032):252-60. DOI: 10.1126/science.176.4032.252. View

REBHUN L . Polarized intracellular particle transport: saltatory movements and cytoplasmic streaming. Int Rev Cytol. 1972; 32:93-137. DOI: 10.1016/s0074-7696(08)60339-3. View

Ochs S . Rate of fast axoplasmic transport in mammalian nerve fibres. J Physiol. 1972; 227(3):627-45. PMC: 1331279. DOI: 10.1113/jphysiol.1972.sp010051. View

Byers M . Structural correlates of rapid axonal transport: evidence that microtubules may not be directly involved. Brain Res. 1974; 75(1):97-113. DOI: 10.1016/0006-8993(74)90773-2. View

Willard M, Cowan W, VAGELOS P . The polypeptide composition of intra-axonally transported proteins: evidence for four transport velocities. Proc Natl Acad Sci U S A. 1974; 71(6):2183-7. PMC: 388415. DOI: 10.1073/pnas.71.6.2183. View

10.

Gaskin F, Kramer S, Cantor C, Adelstein R, Shelanski M . A dynein-like protein associated with neurotubules. FEBS Lett. 1974; 40(2):281-6. DOI: 10.1016/0014-5793(74)80244-9. View

11.

Banks P, Mayor D . Intra-axonal transport in noradrenergic neurons in the sympathetic nervous system. Biochem Soc Symp. 1972; (36):133-49. View

12.

Breuer A, Christian C, Henkart M, Nelson P . Computer analysis of organelle translocation in primary neuronal cultures and continuous cell lines. J Cell Biol. 1975; 65(3):562-76. PMC: 2109434. DOI: 10.1083/jcb.65.3.562. View

13.

Hoffman P, Lasek R . The slow component of axonal transport. Identification of major structural polypeptides of the axon and their generality among mammalian neurons. J Cell Biol. 1975; 66(2):351-66. PMC: 2109569. DOI: 10.1083/jcb.66.2.351. View

14.

FRIEDE R, Ho K . The relation of axonal transport of mitochondria with microtubules and other axoplasmic organelles. J Physiol. 1977; 265(2):507-19. PMC: 1307831. DOI: 10.1113/jphysiol.1977.sp011727. View

15.

Willard M, Hulebak K . The intra-axonal transport of polypeptide H: evidence for a fifth (very slow) group of transported proteins in the retinal ganglion cells of the rabbit. Brain Res. 1977; 136(2):289-306. DOI: 10.1016/0006-8993(77)90804-6. View

16.

Griffin J, Hoffman P, CLARK A, Carroll P, Price D . Slow axonal transport of neurofilament proteins: impairment of beta,beta'-iminodipropionitrile administration. Science. 1978; 202(4368):633-5. DOI: 10.1126/science.81524. View

17.

Brimijoin S, Olsen J, Rosenson R . Comparison of the temperature-dependence of rapid axonal transport and microtubules in nerves of the rabbit and bullfrog. J Physiol. 1979; 287:303-14. PMC: 1281496. DOI: 10.1113/jphysiol.1979.sp012660. View

18.

Willard M, Wiseman M, Levine J, Skene P . Axonal transport of actin in rabbit retinal ganglion cells. J Cell Biol. 1979; 81(3):581-91. PMC: 2110393. DOI: 10.1083/jcb.81.3.581. View

19.

Caron J, BERLIN R . Interaction of microtubule proteins with phospholipid vesicles. J Cell Biol. 1979; 81(3):665-71. PMC: 2110388. DOI: 10.1083/jcb.81.3.665. View