Protein self-assembly into supramolecular structures
is important
for cell biology. Theoretical methods employed to investigate protein
aggregation and analogous processes include molecular dynamics simulations,
stochastic models, and deterministic rate equations based on the mass-action
law. In molecular dynamics simulations, the computation cost limits
the system size, simulation length, and number of simulation repeats.
Therefore, it is of practical interest to develop new methods for
the kinetic analysis of simulations. In this work we consider the
Smoluchowski rate equations modified to account for reversible aggregation
in finite systems. We present several examples and argue that the
modified Smoluchowski equations combined with Monte Carlo simulations
of the corresponding master equation provide an effective tool for
developing kinetic models of peptide aggregation in molecular dynamics
simulations.