A mathematical model describing tannin-protein association.

A quantitative model is derived for tannin-protein binding and protein precipitation in solution. This model is based on the assumption that precipitation occurs when the number of tannin molecules associated with one protein molecule attains a critical value. Precipitation occurs at this point because tannin crosslinking causes formation of large protein aggregates. Analytical expressions were derived for the dependence of protein precipitate yields upon the concentrations of the protein and tannin in solution. This expression fits reasonably well the experimentally observed bell-shaped dependencies of bovine serum albumin or gelatin precipitation upon total protein and tannin concentrations.