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Polymer Reaction Engineering, Vol.2, No.1, 1-15, 1994
ESTIMATION OF AGAROSE NETWORK CHARACTERISTIC PARAMETERS
Physical gels have been described by a mathematical model proposed by Hermans (1965), in which high functionality molecules and low degree of crosslinkings were considered. The more general model suggested by Clark and Ross-Murphy (1985) was used as a tool to determine the f, K and a characteristic parameters, known respectively as the functionality of the macromolecule, the dimerization equilibrium constant and the nonideality factor, for an agarose commercial sample of known viscosity average molecular weight. The knowledge of these parameters should contribute to a better understanding of the gelling process. A computational routine based on the statistical maximum likelihood principle was employed to estimate the parameters of Clark and Ross-Murphy (1985) in relation to experimental Young's modulus data. Statistical t-test and F-test were used to critically analyse the set of parameters. The F-test showed that the choice of the smallest objective function had failed to best adjust the f, K and a values. The C. values aimed by the t-test for the 3 less-than-or-equal-to f less-than-or-equal-to 100 interval were in agreement with the experimental observation.
Keywords:GELS;DEPENDENCE