An MR-Linac can provide motion information of tumour and organs-at-risk before,
during, and after beam delivery. However, MR imaging cannot provide real-time
high-quality volumetric images which capture breath-to-breath variability of
respiratory motion. Surrogate-driven motion models relate the motion of the
internal anatomy to surrogate signals, thus can estimate the 3D internal motion
from these signals. Internal surrogate signals based on patient anatomy can be
extracted from 2D cine-MR images, which can be acquired on an MR-Linac during
treatment, to build and drive motion models. In this paper we investigate
different MRI-derived surrogate signals, including signals generated by applying
principal component analysis to the image intensities, or control point
displacements derived from deformable registration of the 2D cine-MR images. We
assessed the suitability of the signals to build models that can estimate the
motion of the internal anatomy, including sliding motion and breath-to-breath
variability. We quantitatively evaluated the models by estimating the 2D motion
in sagittal and coronal slices of 8 lung cancer patients, and comparing them to
motion measurements obtained from image registration. For sagittal slices, using
the first and second principal components on the control point displacements as
surrogate signals resulted in the highest model accuracy, with a mean error over
patients around 0.80 mm which was lower than the in-plane resolution. For
coronal slices, all investigated signals except the skin signal produced mean
errors over patients around 1 mm. These results demonstrate that surrogate
signals derived from 2D cine-MR images, including those generated by applying
principal component analysis to the image intensities or control point
displacements, can accurately model the motion of the internal anatomy within a
single sagittal or coronal slice. This implies the signals should also be
suitable for modelling the 3D respiratory motion of the internal anatomy.