An updated version is presented of the algebraical deposition model introduced previously. The model has been based on a statistical analysis of the data. Additional experimental data have been taken into account, and where no experimental data were available, theoretical deposition data have been used. This allowed to differentiate bronchial and bronchiolar deposition, and to include in the model the dependence of regional deposition on gender and age. Furthermore the model has been extended to describe the biological variability of the data. This model will serve as deposition standard as part of the ICRP dosimetry model.