Zusammenfassung
For an ideal polysaccharide gel with a known total polymer chain contour
length, crosslinks all of the same functionality and elastic chains
all with the same contour length and stiffness, the gel crosslink
density can readily be determined from measurements of the maximum
volume of the swollen gel (Moe et al., (1991) Food Hydrocolloids,
5, (1/2), 119-23. In the case of randomly crosslinked polysaccharide
gels, where the chain contour length between two adjacent crosslinks
may vary greatly, it is often much more difficult to determine the
crosslink density. This paper reports on an attempt to extend the
use of maximum gel volume measurements to estimate crosslink density
for the latter type of gel. This is done by calculating the maximum
swelling volume for polymer networks with four-functional crosslinks,
known elastic chain mean contour length and standard deviation. The
numerical analysis involves the calculation of the equilibrium force
at each crosslink as the network expands. This allows a detailed
study of how the distribution of individual polymer chain contour
lengths affects the maximum swelling volume. The computer simulation
results are compared with the results from experimental measurements
of the maximum volume of swollen covalently crosslinked sodium alginate
gels.
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