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288    CHAPTER 14  OCT fluid detection and quantification




                           100                       IRF                         0 m m ³  1 m m ³
                          Visual acuity (letters)  60  SRF
                            80


                                                      90
                            40
                                                      50
                            20                       VA  70
                             0    100   200  300         0    60   120   180  240   300   360
                         (A)          Days          (B)                  Days
                         FIG. 7
                         (A) VA trajectories of patients receiving anti-VEGF treatment. Each blue line represents the
                         development of one patient. Four cases are highlighted, illustrating the challenge in this
                         dataset that are the high variance in the data caused by varying disease state at the first
                         visit, different responses to treatment and drops in the VA trajectory from recurring fluid.
                         (B) Example of a patient’s disease trajectory over 1 year. The top rows show projections
                         of segmented IRF and SRF volumes and the bottom row shows the corresponding VA
                         measured in letters. An increase in fluid volume caused a drop in VA at months 6 and 10.

                         visiting intervals are a common issue in longitudinal data too and need to be con-
                         sidered by the model. As shown in Fig. 7B, there is an indication that vision loss
                         corresponds with an increase of fluid.
                            Here, we present a summary of published work [68] and propose a longitudinal
                         mixed effects regression model (MRM) [72] that captures the disease progression
                         both on a population mean and on an individual level. We model the progression
                         as a trajectory with VA measured at regular visits as the target and fluid volumes
                         measured in OCT images as covariates. With such a model, we assess how fluid ac-
                         cumulations in certain retinal areas influence vision. The model particularly takes
                         advantage of the longitudinal nature of the data, where VA measures from a patient
                         are not treated independently, by considering the differing variances in the VA within
                         the patients’ observations and between patients. Furthermore, this MRM tackles the
                         issue of variance introduced by various disease stages at the first visit and the differ-
                         ing responses to treatment. By introducing so-called subject-specific random effects
                         into the model, individual trajectories deviating from the population mean trend can
                         be modeled and thus variance in the disease stage at the first visit (random intercept)
                         and speed of recovery (random slope) handled. MRMs are specifically attractive for
                         longitudinal data analysis as they are capable of handling missing datapoints and ir-
                         regular intervals.

                         4.2.1   Method
                           Obtaining fluid volumes
                         First, we align the follow-up OCT scans of a patient, such that the fovea position is
                         always at the center, as described by Vogl et al. [73]. We use the semantic segmenta-
                         tion method of Schlegl et al. [21] to segment IRF and SRF in the OCT image. Then,
                         we compute the total fluid volume within the central 1-mm region around the fovea,
                         denoted as v fov-irf  and v fov-srf , and within the parafoveal region, which is a 1- to 3-mm
                         radius ring around the fovea. We denote them as v para-irf  and v para-srf  (Fig. 8).
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