A. Courteix et A. Bergel, MODEL OF CRYSTALLIZATION IN A CONFINED SPACE APPLIED TO IRON UPTAKE AND RELEASE BY FERRITIN, AIChE journal, 42(3), 1996, pp. 829-836
Many living organisms Store iron in solid form, Fe(lll), as a crystal
in the inner cavity of the ferritin molecule. When iron is needed for
biosynthesis, a reducing agent reduces Fe(lll) into the soluble form F
e2+ released by ferritin. Crystallization and release processes are re
versible, and their rates evolve in an identical way as a function of
the number n of iron atoms in the molecule. The rate increases with n,
showing a maximum value when n is approximately 1,300, and then stabi
lizes for the highest values of n, which can reach 4,500. On the other
hand plotting the amount of released iron as a function of time gives
curves with a sigmoid shape. The proposed model was based on the theo
retical description of different steps involved in crystal growth insi
de the protein shell: several independent crystals grow freely at the
inner protein wall, and then a distribution function takes into accoun
t possible overlapping of different crystallite clusters, whose furthe
r growth is limited by diminution of the available space inside the ca
vity. The kinetics derived was then used to calculate the release curv
e as a function of time. Solving the system of differential mass-balan
ce equations was simplified by describing the ferritin population as a
large discrete distribution of species. The model fully fitted and ex
plained the variation in the crystallization rate with n, and the sigm
oid shape of the release curve as a function of time obtained experime
ntally in a thin-layer electrochemical cell.