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Biophys J, September 2001, p. 1452-1463, Vol. 81, No. 3

and
*Department of Biomedical Engineering, Boston University, Boston,
Massachusetts 02215, USA;
Department of Biological
Science, University of Nagoya, Nagoya, Japan;
Life
Sciences Division, Lawrence Berkeley Laboratory, Berkeley, California
94720, USA; and §Department of Physics and Astronomy,
University of British Columbia, Vancouver, British Columbia V6T 2A6,
Canada
We have used an ultrasensitive force probe and optical
interferometry to examine the thickness compressibility of the red cell
membrane in situ. Pushed into the centers of washed-white red cell
ghosts lying on a coverglass, the height of the microsphere-probe tip
relative to its closest approach on the adjacent glass surface revealed
the apparent material thickness, which began at ~90 nm per membrane
upon detection of contact (force ~1-2 pN). With further impingement,
the apparent thickness per membrane diminished over a soft compliant
regime that spanned ~40 nm and stiffened on approach to ~50 nm
under forces of ~100 pN. The same force-thickness response was
obtained on recompression after retraction of the probe, which demonstrated elastic recoverability. Scaled by circumferences of the
microspheres, the forces yielded energies of compression per area which
exhibited an inverse distance dependence resembling that expected for
flexible polymers. Attributed to the spectrin component of the membrane
cytoskeleton, the energy density only reached one thermal energy unit
(kBT) per spectrin
tetramer near maximum compression. Hence, we hypothesized that the soft
compliant regime probed in the experiments represented the
compressibility of the outer region of spectrin loops and that the
stiff regime <50 nm was the response of a compact mesh of spectrin
backed by a hardcore structure. To evaluate this hypothesis, we used a
random flight theory for the entropic elasticity of polymer loops to model the spectrin network. We also examined the possibility that additional steric repulsion and apparent thickening could arise from
membrane thermal-bending excitations. Fixing the energy scale to
kBT/spectrin tetramer,
the combined elastic response of a network of ideal polymer loops plus
the membrane steric interaction correlated well with the measured
dependence of energy density on distance for a statistical segment
length of ~5 nm for spectrin (i.e., free chain end-to-end length of
~29 nm) and a hardcore limit of ~30 nm for underlying structure.
Biophys J, September 2001, p. 1452-1463, Vol. 81, No. 3
© 2001 by the Biophysical Society 0006-3495/01/09/1452/12 $2.00
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