Enzymatic cellulose hydrolysis was described by pseudo-second order adsorption kinetics and a cellulase-cellulose complex dependent rate equation. The fermentation at low cell growth was modeled by a segregated model with two distinct active cell populations, each of which was described by black box kinetics. The model was fitted to batch hydrolysis and batch SSCF data, and was validated using data from fed-batch experiments. The multifeed SSCF process was modeled as a sequence of batch processes. The approach resulted in better reproducibility, extended life span of dividing yeast cells and improved xylose utilization, compared to batch SSCF. The simulation results indicated a correlation between yeast tolerance towards birch hydrolysate and the level of birch hydrolysate used in the propagation. The second-order adsorption kinetics was an efficient and reliable method to describe enzyme adsorption on lignocellulosic materials. The segrated cell model offered the flexibility required for modeling fermentation at low cell growth. The validated model can be used for e.g. optimization of feed strategies.