Abstract
For the diagnosis and monitoring of retinal diseases, the spatial context of retinal thickness is highly relevant but often under-utilised. Despite the data being spatially collected, current approaches are not spatial: they involve analysing each location separately, or they analyse all image sectors together but they ignore the possible spatial correlations such as linear models, and multivariate analysis of variance (MANOVA). We propose spatial statistical inference framework for retinal images, which is based on a linear mixed effect model and which models the spatial topography via fixed effect and spatial error structures. We compare our method with MANOVA in analysis of spatial retinal thickness data from a prospective observational study, the Early Detection of Diabetic Macular Oedema (EDDMO) study involving 89 eyes with maculopathy and 168 eyes without maculopathy from 149 diabetic participants. Heidelberg Optical Coherence Tomography (OCT) is used to measure retinal thickness. MANOVA analysis suggests that the overall retinal thickness of eyes with maculopathy are not significantly different from the eyes with no maculopathy (p = 0.11), while our spatial framework can detect the difference between the two disease groups (p = 0.02). We also evaluated our spatial statistical model framework on simulated data whereby we illustrate how spatial correlations can affect the inferences about fixed effects. Our model addresses the need of correct adjustment for spatial correlations in ophthalmic images and to improve the precision of association in clinical studies. This model can be potentially extended into disease monitoring and prognosis in other diseases or imaging technologies.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Bernal-Rusiel, J.L., et al.: Spatiotemporal linear mixed effects modeling for the mass-univariate analysis of longitudinal neuroimage data. Neuroimage 81, 358–370 (2013)
Bowman, F.D., Waller, L.A.: Modelling of cardiac imaging data with spatial correlation. Stat. Med. 23(6), 965–985 (2004)
BuAbbud, J.C., Al-latayfeh, M.M., Sun, J.K.: Optical coherence tomography imaging for diabetic retinopathy and macular edema. Curr. Diab. Rep. 10(4), 264–269 (2010)
Cressie, N.: Statistics for spatial data. Terra Nova 4(5), 613–617 (1992)
Laird, N.M., Ware, J.H., et al.: Random-effects models for longitudinal data. Biometrics 38(4), 963–974 (1982)
Lindquist, M.A., et al.: The statistical analysis of fMRI data. Stat. Sci. 23(4), 439–464 (2008)
MacCormick, I.J., et al.: Accurate, fast, data efficient and interpretable glaucoma diagnosis with automated spatial analysis of the whole cup to disc profile. PloS one 14(1), e0209409 (2019)
MacCormick, I.J., et al.: Spatial statistical modelling of capillary non-perfusion in the retina. Sci. Rep. 7(1), 16792 (2017)
Nussenblatt, R.B., Kaufman, S.C., Palestine, A.G., Davis, M.D., Ferris, F.L.: Macular thickening and visual acuity: measurement in patients with cystoid macular edema. Ophthalmology 94(9), 1134–1139 (1987)
Pinheiro, J., Bates, D., DebRoy, S., Sarkar, D., R Core Team: nlme: Linear and Nonlinear Mixed Effects Models (2018). https://CRAN.R-project.org/package=nlme. R package version 3.1-137
Early Treatment Diabetic Retinopathy Study Research Group: Grading diabetic retinopathy from stereoscopic color fundus photographs-an extension of the modified Airlie House classification: ETDRS report no. 10. Ophthalmology 98(5), 786–806 (1991)
Hee, M.R., et al.: Quantitative assessment of macular edema with optical coherence tomography. Arch. Ophthalmol. 113(8), 1019–1029 (1995)
Van Buuren, S., Groothuis-Oudshoorn, K.: MICE: multivariate imputation by chained equations in R. J. Stat. Softw. 45(3), 1–67 (2011). https://www.jstatsoft.org/v45/i03/
Vogl, W.D., Waldstein, S.M., Gerendas, B.S., Schmidt-Erfurth, U., Langs, G.: Predicting macular edema recurrence from spatio-temporal signatures in optical coherence tomography images. IEEE Trans. Med. Imaging 36(9), 1773–1783 (2017)
Ying, G.S., Maguire, M.G., Glynn, R., Rosner, B.: Tutorial on biostatistics: linear regression analysis of continuous correlated eye data. Ophthalmic Epidemiol. 24(2), 130–140 (2017)
Ying, G.S., Maguire, M.G., Glynn, R., Rosner, B.: Tutorial on biostatistics: statistical analysis for correlated binary eye data. Ophthalmic Epidemiol. 25(1), 1–12 (2018)
Zhang, H.G., Ying, G.S.: Statistical approaches in published ophthalmic clinical science papers: a comparison to statistical practice two decades ago. Br. J. Ophthalmol. 102(9), 1188–1191 (2018)
Acknowledgement
Wenyue Zhu would like to acknowledge the PhD funding from Institute of Ageing and Chronic Disease and Institute of Translational Medicine at University of Liverpool and the Royal Liverpool University Hospital.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2020 Springer Nature Switzerland AG
About this paper
Cite this paper
Zhu, W. et al. (2020). Spatial Modelling of Retinal Thickness in Images from Patients with Diabetic Macular Oedema. In: Zheng, Y., Williams, B., Chen, K. (eds) Medical Image Understanding and Analysis. MIUA 2019. Communications in Computer and Information Science, vol 1065. Springer, Cham. https://doi.org/10.1007/978-3-030-39343-4_10
Download citation
DOI: https://doi.org/10.1007/978-3-030-39343-4_10
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-39342-7
Online ISBN: 978-3-030-39343-4
eBook Packages: Computer ScienceComputer Science (R0)