deletions | additions       diff --git a/section_Supporting_Information_subsection_Kinetic__.tex b/section_Supporting_Information_subsection_Kinetic__.tex  index 4abb463..f917687 100644  --- a/section_Supporting_Information_subsection_Kinetic__.tex  +++ b/section_Supporting_Information_subsection_Kinetic__.tex 
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\begin{equation}  \label{eqn:model-wulff}  \frac{dx_i}{d \xi} = R_i - x_i \quads \qquad  i = 1, \dots, N-1 \end{equation}  where $x$ is the dimensionless perpendicular distance of face $i$ from the shape center, $\xi$ is the dimensionless time, $R_i$ is the relative growth rate of face $i$, and $N$ is the number of faces. When the relative growth rates are constant, it has a unique and stable steady state solution of