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2020 | OriginalPaper | Buchkapitel

Fisher-Rao Regularized Transport Analysis of the Glymphatic System and Waste Drainage

verfasst von : Rena Elkin, Saad Nadeem, Hedok Lee, Helene Benveniste, Allen Tannenbaum

Erschienen in: Medical Image Computing and Computer Assisted Intervention – MICCAI 2020

Verlag: Springer International Publishing

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Abstract

In this work, a unified representation of all the time-varying dynamics is accomplished with a Lagrangian framework for analyzing Fisher-Rao regularized dynamical optimal mass transport (OMT) derived flows. While formally equivalent to the Eulerian based Schrödinger bridge OMT regularization scheme, the Fisher-Rao approach allows a simple and interpretable methodology for studying the flows of interest in the present work. The advantage of the proposed Lagrangian technique is that the time-varying particle trajectories and attributes are displayed in a single visualization. This provides a natural capability to identify and distinguish flows under different conditions. The Lagrangian analysis applied to the glymphatic system (brain waste removal pathway associated with Alzheimer’s Disease) successfully captures known flows and distinguishes between flow patterns under two different anesthetics, providing deeper insights into altered states of waste drainage.

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Vorheriges Kapitel Edge-Variational Graph Convolutional Networks for Uncertainty-Aware Disease Prediction

Nächstes Kapitel Joint Neuroimage Synthesis and Representation Learning for Conversion Prediction of Subjective Cognitive Decline

Benamou, J.D., Brenier, Y.: A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem. Numerische Math. 84, 375–393 (2000)MathSciNetMATHCrossRef

Benveniste, H., et al.: Anesthesia with dexmedetomidine and low-dose isoflurane increases solute transport via the glymphatic pathway in rat brain when compared with high-dose isoflurane. Anesthesiol.: J. Am. Soc. Anesthesiol. 127(6), 976–988 (2017)CrossRef

Buttazzo, G., Jimenez, C., Oudet, E.: An optimization problem for mass transportation with congested dynamics. SIAM J. Control Optim. 48(3), 1961–1976 (2009)MathSciNetMATHCrossRef

Chen, Y., Georgiou, T.T., Pavon, M.: On the relation between optimal transport and Schrödinger bridges: a stochastic control viewpoint. J. Optim. Theory Appl. 169(2), 671–691 (2016)MathSciNetMATHCrossRef

Chizat, L., Peyré, G., Schmitzer, B., Vialard, F.X.: Unbalanced optimal transport: dynamic and Kantorovich formulations. J. Funct. Anal. 274(11), 3090–3123 (2018)MathSciNetMATHCrossRef

Cuturi, M.: Sinkhorn distances: lightspeed computation of optimal transport. In: Advances in Neural Information Processing Systems, pp. 2292–2300 (2013)

Elkin, R., et al.: GlymphVIS: visualizing glymphatic transport pathways using regularized optimal transport. In: Frangi, A.F., Schnabel, J.A., Davatzikos, C., Alberola-López, C., Fichtinger, G. (eds.) MICCAI 2018. LNCS, vol. 11070, pp. 844–852. Springer, Cham (2018). https://doi.org/10.1007/978-3-030-00928-1_95CrossRef

Elkin, R., et al.: Optimal mass transport kinetic modeling for head and neck DCE-MRI: initial analysis. Magn. Reson. Med. 82(6), 2314–2325 (2019)CrossRef

Feydy, J., Charlier, B., Vialard, F.-X., Peyré, G.: Optimal transport for diffeomorphic registration. In: Descoteaux, M., Maier-Hein, L., Franz, A., Jannin, P., Collins, D.L., Duchesne, S. (eds.) MICCAI 2017. LNCS, vol. 10433, pp. 291–299. Springer, Cham (2017). https://doi.org/10.1007/978-3-319-66182-7_34CrossRef

10.

Garyfallidis, E., Brett, M., Correia, M.M., Williams, G.B., Nimmo-Smith, I.: Quickbundles, a method for tractography simplification. Front. Neurosci. 6, 175 (2012)CrossRef

11.

Gerber, S., Niethammer, M., Styner, M., Aylward, S.: Exploratory population analysis with unbalanced optimal transport. In: Frangi, A.F., Schnabel, J.A., Davatzikos, C., Alberola-López, C., Fichtinger, G. (eds.) MICCAI 2018. LNCS, vol. 11072, pp. 464–472. Springer, Cham (2018). https://doi.org/10.1007/978-3-030-00931-1_53CrossRef

12.

Haker, S., Zhu, L., Tannenbaum, A., Angenent, S.: Optimal mass transport for registration and warping. Int. J. Comput. Vis. 60(3), 225–240 (2004)CrossRef

13.

Iliff, J.J., et al.: Brain-wide pathway for waste clearance captured by contrast-enhanced MRI. J. Clin. Investig. 123(3), 1299–1309 (2013)CrossRef

14.

Iliff, J.J., et al.: A paravascular pathway facilitates CSF flow through the brain parenchyma and the clearance of interstitial solutes, including amyloid \(\beta \). Sci. Transl. Med. 4(147), 147ra111 (2012)

15.

Jiang, Q., et al.: Impairment of the glymphatic system after diabetes. J. Cereb. Blood Flow Metab. 37(4), 1326–1337 (2017)CrossRef

16.

Koundal, S., et al.: Optimal mass transport with Lagrangian workflow reveals advective and diffusion driven solute transport in the glymphatic system. Sci. Rep. 10(1), 1–18 (2020)MathSciNetCrossRef

17.

Lee, H., et al.: The effect of body posture on brain glymphatic transport. J. Neurosci. 35(31), 11034–11044 (2015)CrossRef

18.

Li, W., Yin, P., Osher, S.: Computations of optimal transport distance with fisher information regularization. J. Sci. Comput. 75(3), 1581–1595 (2018)MathSciNetMATHCrossRef

19.

Liero, M., Mielke, A., Savaré, G.: Optimal transport in competition with reaction: the Hellinger-Kantorovich distance and geodesic curves. SIAM J. Math. Anal. 48(4), 2869–2911 (2016)MathSciNetMATHCrossRef

20.

Otto, F.: The geometry of dissipative evolution equations: the porous medium equation. Communications in Partial Differential Equations (2001)

21.

Papadakis, N., Peyré, G., Oudet, E.: Optimal transport with proximal splitting. SIAM J. Imaging Sci. 7(1), 212–238 (2014)MathSciNetMATHCrossRef

22.

Peng, W., et al.: Suppression of glymphatic fluid transport in a mouse model of Alzheimer’s disease. Neurobiol. Dis. 93, 215–225 (2016)CrossRef

23.

Ratner, V., et al.: Cerebrospinal and interstitial fluid transport via the glymphatic pathway modeled by optimal mass transport. Neuroimage 152, 530–537 (2017)CrossRef

24.

Shokri-Kojori, E., et al.: \(\beta \)-amyloid accumulation in the human brain after one night of sleep deprivation. Proc. Natl. Acad. Sci. 115(17), 4483–4488 (2018)

25.

Steklova, K., Haber, E.: Joint hydrogeophysical inversion: state estimation for seawater intrusion models in 3D. Comput. Geosci. 21(1), 75–94 (2017)MathSciNetMATHCrossRef

26.

Villani, C.: Topics in Optimal Transportation No. 58. American Mathematical Society, Providence (2003)MATH

27.

Villani, C.: Optimal Transport: Old and New, vol. 338. Springer, Cham (2008). https://doi.org/10.1007/978-3-540-71050-9MATHCrossRef

28.

Xie, L., et al.: Sleep drives metabolite clearance from the adult brain. Science 342(6156), 373–377 (2013)CrossRef

Titel: Fisher-Rao Regularized Transport Analysis of the Glymphatic System and Waste Drainage
verfasst von: Rena Elkin
Saad Nadeem
Hedok Lee
Helene Benveniste
Allen Tannenbaum
Verlag: Springer International Publishing
Buch: Medical Image Computing and Computer Assisted Intervention – MICCAI 2020
Print ISBN: 978-3-030-59727-6

Electronic ISBN: 978-3-030-59728-3

Copyright-Jahr: 2020
DOI: https://doi.org/10.1007/978-3-030-59728-3_56

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