Mathematical Characterization and Graphical Presentation of the Stiffhess‐Temperature‐Moisture Relationship of Gliadin

Published data for storage modulus (G′) vs temperature (T) relationships of gliadin at various moisture contents [deGraaf, E. M.; Madeka, H.; Cocero, A. M.; Kokini, J. Biotechnol Prog. 1993, 9, 210–213] were transformed into relative stiffness, R(T, M), vs temperature and moisture relationships, with the former being defined as R(T, M) = G′(T)/G′(‐50°C). These relationships could be described by the model R(T, M) = 1/{1 + exp[(T ‐ Tc(M)/a(M)]}, where both Tc(M) and a(M), as has been experimentally confirmed, are in the form of a single‐exponential decay term. This model, with the constants of the Tc(M) and a(M) terms incorporated, was also used to create three‐dimensional plots of the relative stiffness‐temperature‐moisture relationship of gliadin at and around its glass tranition, in which the combined effects of moisture and temperature are revealed visually. Although the model applicability is only demonstrated with gliadin data, there is evidence to suggest that it would also be appropriate for other biosolids.