Individualised prediction of longitudinal change in multimodal brain imaging

Weikang Gong, Christian F. Beckmann, Stephen M. Smith
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Abstract

Abstract It remains largely unknown whether individualised longitudinal changes of brain imaging features can be predicted based only on the baseline brain images. This would be of great value, for example, for longitudinal data imputation, longitudinal brain-behaviour associations, and early prediction of brain-related diseases. We explore this possibility using longitudinal data of multiple modalities from UK Biobank brain imaging, with around 3,500 subjects. As baseline and follow-up images are generally similar in the case of short follow-up time intervals (e.g., 2 years), a simple copy of the baseline image may have a very good prediction performance. Therefore, for the first time, we propose a new mathematical framework for guiding the longitudinal prediction of brain images, providing answers to fundamental questions: (1) what is a suitable definition of longitudinal change; (2) how to detect the existence of changes; (3) what is the “null” prediction performance; and (4) can we distinguish longitudinal change prediction from simple data denoising. Building on these, we designed a deep U-Net based model for predicting longitudinal changes in multimodal brain images. Our results show that the proposed model can predict to a modest degree individualised longitudinal changes in almost all modalities, and outperforms other potential models. Furthermore, compared with the true longitudinal changes computed from real data, the predicted longitudinal changes have a similar or even improved accuracy in predicting subjects’ non-imaging phenotypes, and have a high between-subject discriminability. Our study contributes a new theoretical framework for longitudinal brain imaging studies, and our results show the potential for longitudinal data imputation, along with highlighting several caveats when performing longitudinal data analysis.
多模态脑成像纵向变化的个性化预测
摘要 仅根据基线大脑图像能否预测大脑成像特征的个体化纵向变化,这在很大程度上仍是个未知数。这对于纵向数据归因、纵向脑行为关联以及脑相关疾病的早期预测等具有重要价值。我们利用英国生物库约 3,500 名受试者的多种模式脑成像纵向数据来探索这种可能性。在随访时间间隔较短(如 2 年)的情况下,基线图像和随访图像通常是相似的,因此简单复制基线图像可能会有很好的预测效果。因此,我们首次提出了指导脑图像纵向预测的新数学框架,为以下基本问题提供了答案:(1)什么是纵向变化的合适定义;(2)如何检测变化的存在;(3)什么是 "空 "预测性能;以及(4)我们能否将纵向变化预测与简单的数据去噪区分开来。在此基础上,我们设计了一个基于深度 U-Net 的模型,用于预测多模态脑图像的纵向变化。我们的研究结果表明,所提出的模型可以在一定程度上预测几乎所有模态的个性化纵向变化,并且优于其他潜在模型。此外,与根据真实数据计算出的真实纵向变化相比,预测出的纵向变化在预测受试者的非成像表型方面具有相似甚至更高的准确性,并且在受试者之间具有很高的可区分性。我们的研究为纵向脑成像研究提供了一个新的理论框架,我们的研究结果表明了纵向数据估算的潜力,同时也强调了在进行纵向数据分析时的一些注意事项。
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