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Biophys J, May 2002, p. 2360-2372, Vol. 82, No. 5


and
*Department of Physiology, Johns Hopkins University School of
Medicine, Baltimore, Maryland 21205;
Department
of Neurosciences, Lerner Research Institute, Cleveland Clinic
Foundation, Cleveland, Ohio 44195; and
Department of Chemical Engineering, Johns Hopkins
University, Baltimore, Maryland 21218 USA
Neurofilaments (NFs) have been proposed to interact with
one another through mutual steric exclusion of their unstructured C-terminal "sidearm" domains, producing order in axonal NF
distributions and conferring mechanical strength to the axon. Here we
apply theory developed for polymer brushes to examine the relationship between the brush properties of the sidearms and NF organization in
axons. We first measure NF-NF radial distribution functions and
occupancy probability distributions for adult mice. Interpreting the
probability distributions using information theory, we show that the NF
distributions may be represented by a single pair potential of mean
force. Then, to explore the relationship between model parameters and
NF architecture, we conduct two-dimensional Monte Carlo simulations of
NF cross-sectional distributions. We impose purely repulsive
interaction potentials in which the sidearms are represented as neutral
and polyelectrolyte chains. By treating the NFs as telechelic polymer
brushes, we also incorporate cross-bridging interactions. Both
repulsive potentials are capable of reproducing NF cross-sectional
densities and their pair correlations. We find that NF structure is
sensitive to changes in brush thickness mediated by chain charge,
consistent with the experimental observation that sidearm
phosphorylation regulates interfilament spacing. The presence of
attractive cross-bridging interactions contributes only modestly to
structure for moderate degrees of cross-bridging and leads to NF
aggregation for extensive cross-bridging.
Biophys J, May 2002, p. 2360-2372, Vol. 82, No. 5
© 2002 by the Biophysical Society 0006-3495/02/05/2360/13 $2.00
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