where EtoH, is the concentration of ethanol at time t, EtoHo is the initial ethanol concentration, mass is the dry biomass concentration at the beginning of fermentation (g/L), 0.511 is the conversion factor for glucose to ethanol, and is the conversion factor for cellulose to glucose. Productivity and percentage volume of ethanol per volume of solution (v ethanol v solution) was also determined at the time the highest ethanol concentration was reached for each experiment.