Within an immobilized cell matrix, mass transfer limitations on substr
ate delivery or product removal can often lead to a wide range of loca
l chemical environments. As immobilized living cell populations active
ly grow and adapt to their surroundings, these mass transfer effects o
ften lead to strong, time-dependent spatial variations in substrate co
ncentration and biomass densities and growth rates. This review focuse
s on the methods that have been devised, both experimentally and theor
etically, to study the nonuniform growth patterns that arise in the ma
ss transfer limited environment of an immobilization matrix, with part
icular attention being paid to cell growth in polysaccharide gels.