To develop a bioreactor for solid-to-solid conversions, the conversion of s
olid Ca-maleate to solid Ca-D-malate by permeabilized Pseudomonas pseudoalc
aligenes was studied. In a bioreactor seeded with product (Ca-D-malate) cry
stals, growth of Ca-D-malate crystals is the last step in the solid-to-soli
d conversion and is described here. Crystal growth is described as a transp
ort process followed by surface processes. In contrast to the linear rate l
aw obeyed by the transport process, the surface processes of a crystal-grow
th process can also obey a parabolic or exponential rate law. Growth of Ca-
D-malate crystals from a supersaturated aqueous solution was found to be su
rface-controlled and obeyed an exponential rate law. Based on this rate law
, a kinetic model was developed which describes the decrease in supersatura
tion due to Ca-D-malate crystal growth as a function of the constituent ion
s, Ca2+ and D-malate(2-). The kinetic parameters depended on temperature, b
ut, as expected (surface-controlled), they were hardly affected by the stir
ring speed. (C) 2000 John Wiley & Sons, Inc.