  Nanoscale precipitates in the microstructure of nickel-based superalloys
hinder dislocation motion, which results in an extraordinary strengthening
effect at elevated temperatures. We used molecular dynamics (MD) with classical
effective potential to observe the movement of an
$\frac{a}{2}\langle110\rangle\{111\}$ edge dislocation under shear in pure Ni,
which represents the Ni solid solution matrix, and extracted the locations of
the dislocations. We show how a Differential Evolution Monte Carlo (DE-MC)
analysis is an effective way to find the parameters of an equation of motion
for the dislocation lines with quantified uncertainties. The parameters of
interest were the effective mass, drag coefficient, and force experienced by
the dislocation. The marginal parameter and joint posterior distributions were
estimated from the accepted samples produced by the DE-MC algorithm. The
equation of motion and parameter distributions were used to predict the
dislocation positions and velocities at the simulation timesteps, and the mean
fit was found to match the MD trajectories with a root mean square error (RMSE)
of \SI{0.2}{\nano\metre}. We also discuss how the selected model can be
extended to account for the presence of multiple dislocations as well as
dislocation-precipitate interactions. This work serves as the first step
towards building a predictive surrogate model that describes the deformation
behaviour of Ni-based superalloys.
