Two kinds of mathematical correlations are proposed, one between the biomass concentration and the rheological parameter consistency index (K) from the ’Power law’ and another between either the specific growth rate or the specific glucoamylase production rate and K. Experimental data from Aspergillus awamori batch cultivations, with initial polysaccharide concentrations in the range of 20 to 180 g.L(-1), were used to define these correlations.