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Topological Detection of Alzheimer’s Disease Using Betti Curves

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Interpretability of Machine Intelligence in Medical Image Computing, and Topological Data Analysis and Its Applications for Medical Data (IMIMIC 2021, TDA4MedicalData 2021)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 12929))

Abstract

Alzheimer’s disease is a debilitating disease in the elderly, and is an increasing burden to the society due to an aging population. In this paper, we apply topological data analysis to structural MRI scans of the brain, and show that topological invariants make accurate predictors for Alzheimer’s. Using the construct of Betti Curves, we first show that topology is a good predictor of Age. Then we develop an approach to factor out the topological signature of age from Betti curves, and thus obtain accurate detection of Alzheimer’s disease. Experimental results show that topological features used with standard classifiers perform comparably to recently developed convolutional neural networks. These results imply that topology is a major aspect of structural changes due to aging and Alzheimer’s. We expect this relation will generate further insights for both early detection and better understanding of the disease.

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Notes

  1. 1.

    https://github.com/ameertg/BrainAgingTDA.

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Acknowledgements

RA is supported by the UKRI (grant EP/S02431X/1).

Author information

Authors and Affiliations

  1. School of Informatics, University of Edinburgh, Edinburgh, UK

    Ameer Saadat-Yazdi, Rayna Andreeva & Rik Sarkar

Authors
  1. Ameer Saadat-Yazdi
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  2. Rayna Andreeva
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  3. Rik Sarkar
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Corresponding author

Correspondence to Ameer Saadat-Yazdi .

Editor information

Editors and Affiliations

  1. University of Bern, Bern, Switzerland

    Mauricio Reyes

  2. CISUC, FCTUC, Coimbra, Portugal

    Pedro Henriques Abreu

  3. INESC, FEUP, Porto, Portugal

    Jaime Cardoso

  4. Santa Clara University, Santa Clara, CA, USA

    Mustafa Hajij

  5. National Institutes of Health, Bethesda, MD, USA

    Ghada Zamzmi

  6. Massachusetts General Hospital, Harvard, Boston, MA, USA

    Paul Rahul

  7. Broad Institute of MIT and Harvard, Cambridge, MA, USA

    Lokendra Thakur

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Saadat-Yazdi, A., Andreeva, R., Sarkar, R. (2021). Topological Detection of Alzheimer’s Disease Using Betti Curves. In: Reyes, M., et al. Interpretability of Machine Intelligence in Medical Image Computing, and Topological Data Analysis and Its Applications for Medical Data. IMIMIC TDA4MedicalData 2021 2021. Lecture Notes in Computer Science(), vol 12929. Springer, Cham. https://doi.org/10.1007/978-3-030-87444-5_12

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  • DOI: https://doi.org/10.1007/978-3-030-87444-5_12

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-87443-8

  • Online ISBN: 978-3-030-87444-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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