Fig. 3. Temperature dependence of physical crosslinking interactions.

a Schematic of a physically crosslinked network and the associated equations used to describe the shear storage modulus. b Schematic of one binding interaction and the associated equations that relate the thermodynamics to the equilibrium constant (K_eq), the dissociation constant (k_d), and the fraction of bound crosslinks (θ). c Calculated curves of θ versus temperature using the thermodynamic parameters for PSNP/HPMC-C₁₂ interactions and other notable physical interactions^{28–30,33,36} using Equation 7 (Supplementary Discussion). d Calculated k_d values for these same systems as a function of temperature from Equation 10 (Supplementary Discussion).