While biological
crystallization processes have been studied on
the microscale extensively, there is a general lack of models addressing
the mesoscale aspects of such phenomena. In this work, we investigate
whether the phase-field theory developed in materials’ science
for describing complex polycrystalline structures on the mesoscale
can be meaningfully adapted to model crystallization in biological
systems. We demonstrate the abilities of the phase-field technique
by modeling a range of microstructures observed in mollusk shells
and coral skeletons, including granular, prismatic, sheet/columnar
nacre, and sprinkled spherulitic structures. We also compare two possible
micromechanisms of calcification: the classical route, via ion-by-ion
addition from a fluid state, and a nonclassical route, crystallization
of an amorphous precursor deposited at the solidification front. We
show that with an appropriate choice of the model parameters, microstructures
similar to those found in biomineralized systems can be obtained along
both routes, though the time-scale of the nonclassical route appears
to be more realistic. The resemblance of the simulated and natural
biominerals suggests that, underneath the immense biological complexity
observed in living organisms, the underlying design principles for
biological structures may be understood with simple math and simulated
by phase-field theory.