COMMIT: Convex Optimization Modeling for Microstructure Informed Tractography
Open accessAbstract
Tractography is a class of algorithms aiming at in vivo mapping the major neuronal pathways in the white matter from diffusion magnetic resonance imaging (MRI) data. These techniques offer a powerful tool to noninvasively investigate at the macroscopic scale the architecture of the neuronal connections of the brain. However, unfortunately, the reconstructions recovered with existing tractography algorithms are not really quantitative even though diffusion MRI is a quantitative modality by nature. As a matter of fact, several techniques have been proposed in recent years to estimate, at the voxel level, intrinsic microstructural features of the tissue, such as axonal density and diameter, by using multicompartment models. In this paper, we present a novel framework to reestablish the link between tractography and tissue microstructure. Starting from an input set of candidate fiber-tracts, which are estimated from the data using standard fiber-tracking techniques, we model the diffusion MRI signal in each voxel of the image as a linear combination of the restricted and hindered contributions generated in every location of the brain by these candidate tracts. Then, we seek for the global weight of each of them, i.e., the effective contribution or volume, such that they globally fit the measured signal at best. We demonstrate that these weights can be easily recovered by solving a global convex optimization problem and using efficient algorithms. The effectiveness of our approach has been evaluated both on a realistic phantom with known ground-truth and in vivo brain data. Results clearly demonstrate the benefits of the proposed formulation, opening new perspectives for a more quantitative and biologically plausible assessment of the structural connectivity of the brain.
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
Streamline filtering techniques can optimize the signal prediction error in order to reduce tractography biases.
“Streamline filtering techniques can optimize the signal prediction error in order to reduce tractography biases14, 16, 51.”
From Tractography-based connectomes are dominated by false-positive connections (2016) · cites this paper as [16]
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Cites
A note on two problems in connexion with graphs
Dijkstra, E. (1959) · Numerische Mathematik · doi:10.1007/bf01386390 · Cited by 24,351 · see citing works
Donoho, D. L. (2006) · IEEE Transactions on Information Theory · doi:10.1109/tit.2006.871582 · Cited by 23,994 · see citing works
Donoho, D. L. (2004) · Cited by 17,049 · see citing works
Candes, E. J., Romberg, J., & Tao, T. (2006) · IEEE Transactions on Information Theory · doi:10.1109/tit.2005.862083 · Cited by 15,639 · see citing works
Iterative Methods for Sparse Linear Systems
Saad, Y. E.-M. (2003) · Society for Industrial and Applied Mathematics eBooks · doi:10.1137/1.9780898718003 · Cited by 13,931 · see citing works
Solving Least Squares Problems
Lawson, C. L., & Hanson, R. J. (1995) · doi:10.1137/1.9781611971217 · Cited by 7,103 · see citing works
N4ITK: Improved N3 Bias Correction
Tustison, N. J., Avants, B., Cook, P. A., Zheng, Y., Egan, A., Yushkevich, P. A., & Gee, J. C. (2010) · IEEE Transactions on Medical Imaging · doi:10.1109/tmi.2010.2046908 · Cited by 6,119 · see citing works
Basser, P. J., & Pierpaoli, C. (1996) · Journal of Magnetic Resonance, Series B · doi:10.1006/jmrb.1996.0086 · Cited by 4,306 · see citing works
Le Bihan, D., Breton, E., Lallemand, D., Grenier, P., Cabanis, E., & Laval-Jeantet, M. (1986) · Radiology · doi:10.1148/radiology.161.2.3763909 · Cited by 3,912 · see citing works
Three-dimensional tracking of axonal projections in the brain by magnetic resonance imaging
Mori, S., Crain, B. J., Chacko, V. P., & van Zijl, P. C. M. (1999) · Annals of Neurology · doi:10.1002/1531-8249(199902)45:2 · Cited by 3,479 · see citing works
NODDI: Practical in vivo neurite orientation dispersion and density imaging of the human brain
Zhang, H., Schneider, T., Wheeler-Kingshott, C. A., & Alexander, D. C. (2012) · NeuroImage · doi:10.1016/j.neuroimage.2012.03.072 · Cited by 3,288 · see citing works
Characterization and propagation of uncertainty in diffusion-weighted MR imaging
Behrens, T. E. J., Woolrich, M. W., Jenkinson, M., Johansen‐Berg, H., Nunes, R. G., Clare, S., Matthews, P. M., Brady, J. M., & Smith, S. M. (2003) · Magnetic Resonance in Medicine · doi:10.1002/mrm.10609 · Cited by 3,038 · see citing works
White matter integrity, fiber count, and other fallacies: The do's and don'ts of diffusion MRI
Jones, D. K., Knösche, T. R., & Turner, R. (2013) · NeuroImage · doi:10.1016/j.neuroimage.2012.06.081 · Cited by 2,479 · cited 1× · see citing works
“In fact, the structural connectivity between different brain regions is usually quantified by counting the number of recovered pathways or averaging some scalar maps along them [14].”
BackgroundTournier, J., Calamante, F., & Connelly, A. (2007) · NeuroImage · doi:10.1016/j.neuroimage.2007.02.016 · Cited by 2,191 · see citing works
Probing the Pareto Frontier for Basis Pursuit Solutions
van den Berg, E., & Friedlander, M. P. (2008) · SIAM Journal on Scientific Computing · doi:10.1137/080714488 · Cited by 1,940 · see citing works
Solving Least Squares Problems
Bjork, A., Lawson, C. L., & Hanson, R. J. (1976) · Mathematics of Computation · doi:10.2307/2005340 · Cited by 1,154 · see citing works
Implementing sparse matrix-vector multiplication on throughput-oriented processors
Bell, N., & Garland, M. (2009) · doi:10.1145/1654059.1654078 · Cited by 911 · see citing works
Composite hindered and restricted model of diffusion (CHARMED) MR imaging of the human brain
Assaf, Y., & Basser, P. J. (2005) · NeuroImage · doi:10.1016/j.neuroimage.2005.03.042 · Cited by 856 · see citing works
Axcaliber: A method for measuring axon diameter distribution from diffusion MRI
Assaf, Y., Blumenfeld‐Katzir, T., Yovel, Y., & Basser, P. J. (2008) · Magnetic Resonance in Medicine · doi:10.1002/mrm.21577 · Cited by 849 · see citing works
Mapping Human Whole-Brain Structural Networks with Diffusion MRI
Hagmann, P., Kurant, M., Gigandet, X., Thiran, P., Wedeen, V. J., Meuli, R., & Thiran, J.-P. (2007) · PLoS ONE · doi:10.1371/journal.pone.0000597 · Cited by 788 · see citing works
Self-citationSIFT: Spherical-deconvolution informed filtering of tractograms
Smith, R. E., Tournier, J.-D., Calamante, F., & Connelly, A. (2013) · NeuroImage · doi:10.1016/j.neuroimage.2012.11.049 · Cited by 752 · see citing works
Orientationally invariant indices of axon diameter and density from diffusion MRI
Alexander, D. C., Hubbard, P. L., Hall, M. G., Moore, E. A., Ptito, M., Parker, G. J. M., & Dyrby, T. B. (2010) · NeuroImage · doi:10.1016/j.neuroimage.2010.05.043 · Cited by 683 · see citing works
Tractography: Where Do We Go from Here?
Jbabdi, S., & Johansen-Berg, H. (2011) · Brain Connectivity · doi:10.1089/brain.2011.0033 · Cited by 614 · see citing works
Parker, G. J. M., Haroon, H. A., & Wheeler‐Kingshott, C. A. M. (2003) · Journal of Magnetic Resonance Imaging · doi:10.1002/jmri.10350 · Cited by 527 · see citing works
Spin echo of spins diffusing in a bounded medium
Neuman, C. H. (1974) · The Journal of Chemical Physics · doi:10.1063/1.1680931 · Cited by 438 · see citing works
Compartment models of the diffusion MR signal in brain white matter: A taxonomy and comparison
Panagiotaki, E., Schneider, T., Siow, B., Hall, M. G., Lythgoe, M. F., & Alexander, D. C. (2012) · NeuroImage · doi:10.1016/j.neuroimage.2011.09.081 · Cited by 422 · see citing works
Quantitative evaluation of 10 tractography algorithms on a realistic diffusion MR phantom
Fillard, P., Descoteaux, M., Goh, A., Gouttard, S., Jeurissen, B., Malcolm, J., Ramirez-Manzanares, A., Reisert, M., Sakaie, K., Tensaouti, F., et al. (2011) · NeuroImage · doi:10.1016/j.neuroimage.2011.01.032 · Cited by 418 · see citing works
Calamante, F., Tournier, J., Jackson, G. D., & Connelly, A. (2010) · NeuroImage · doi:10.1016/j.neuroimage.2010.07.024 · Cited by 399 · see citing works
Global fiber reconstruction becomes practical
Reisert, M., Mader, I., Anastasopoulos, C., Weigel, M., Schnell, S., & Kiselev, V. (2011) · NeuroImage · doi:10.1016/j.neuroimage.2010.09.016 · Cited by 312 · see citing works
Parker, G. J. M., Wheeler‐Kingshott, C. A. M. G., & Barker, G. J. (2002) · IEEE Transactions on Medical Imaging · doi:10.1109/tmi.2002.1009386 · Cited by 303 · see citing works
Jespersen, S. N., Bjarkam, C. R., Nyengaard, J. R., Chakravarty, M. M., Hansen, B., Vosegaard, T., Østergaard, L., Yablonskiy, D., Nielsen, N. C., & Vestergaard-Poulsen, P. (2010) · NeuroImage · doi:10.1016/j.neuroimage.2009.08.053 · Cited by 290 · see citing works
The Connectome Mapper: An Open-Source Processing Pipeline to Map Connectomes with MRI
Daducci, A., Gerhard, S., Griffa, A., Lemkaddem, A., Cammoun, L., Gigandet, X., Meuli, R. A., Hagmann, P., & Thiran, J. (2012) · PLoS ONE · doi:10.1371/journal.pone.0048121 · Cited by 266 · see citing works
Self-citationWhite, N. S., Leergaard, T. B., D'Arceuil, H. E., Bjaalie, J. G., & Dale, A. M. (2012) · Human Brain Mapping · doi:10.1002/hbm.21454 · Cited by 263 · see citing works
Tractometer: Towards validation of tractography pipelines
Côté, M.-A., Girard, G., Boré, A., Garyfallidis, E., Houde, J.-C., & Descoteaux, M. (2013) · Medical Image Analysis · doi:10.1016/j.media.2013.03.009 · Cited by 228 · see citing works
Poupon, C., Rieul, B., Kezele, I., Perrin, M., Poupon, F., & Mangin, J. (2008) · Magnetic Resonance in Medicine · doi:10.1002/mrm.21789 · Cited by 198 · see citing works
The physical and biological basis of quantitative parameters derived from diffusion MRI.
Winston, G. P. (2012) · Europe PMC (PubMed Central) · doi:10.3978/j.issn.2223-4292.2012.12.05 · Cited by 174 · see citing works
Quantitative Comparison of Reconstruction Methods for Intra-Voxel Fiber Recovery From Diffusion MRI
Daducci, A., Canales-Rodríguez, E. J., Descoteaux, M., Garyfallidis, E., Gur, Y., Lin, Y., Mani, M., Merlet, S., Paquette, M., Ramírez-Manzanares, A., et al. (2013) · IEEE Transactions on Medical Imaging · doi:10.1109/tmi.2013.2285500 · Cited by 167 · see citing works
Self-citationJespersen, S. N., Leigland, L. A., Cornea, A. M., & Kroenke, C. D. (2011) · IEEE Transactions on Medical Imaging · doi:10.1109/tmi.2011.2162099 · Cited by 158 · see citing works
Accurate Anisotropic Fast Marching for Diffusion‐Based Geodesic Tractography
Jbabdi, S., Bellec, P., Toro, R., Jean Daunizeau, A., Pélégrini‐Issac, M., & Benali, H. (2007) · International Journal of Biomedical Imaging · doi:10.1155/2008/320195 · Cited by 125 · see citing works
Mangin, J.-F., Fillard, P., Cointepas, Y., Le Bihan, D., Frouin, V., & Poupon, C. (2013) · NeuroImage · doi:10.1016/j.neuroimage.2013.04.009 · Cited by 121 · see citing works
A Novel Global Tractography Algorithm Based on an Adaptive Spin Glass Model
Fillard, P., Poupon, C., & Mangin, J. (2009) · Lecture notes in computer science · doi:10.1007/978-3-642-04268-3_114 · Cited by 105 · see citing works
MicroTrack: An Algorithm for Concurrent Projectome and Microstructure Estimation
Sherbondy, A. J., Rowe, M. C., & Alexander, D. C. (2010) · Lecture notes in computer science · doi:10.1007/978-3-642-15705-9_23 · Cited by 75 · see citing works
Ji, X., Sun, J., & Turner, T. (2012) · ACM Transactions on Mathematical Software · doi:10.1145/2331130.2331137 · Cited by 63 · see citing works
Think Global, Act Local; Projectome Estimation with BlueMatter
Sherbondy, A. J., Dougherty, R. F., Ananthanarayanan, R., Modha, D. S., & Wandell, B. A. (2009) · Lecture notes in computer science · doi:10.1007/978-3-642-04268-3_106 · Cited by 48 · see citing works
A convex optimization framework for global tractography
Daducci, A., Palù, A. D., Lemkaddem, A., & Thiran, J. (2013) · IEEE International Symposium on Biomedical Imaging (ISBI) · doi:10.1109/isbi.2013.6556527 · Cited by 35 · see citing works
Self-citationRowe, M. C., Zhang, H. G., Oxtoby, N. P., et al. (2013) · Lecture notes in computer science · doi:10.1007/978-3-642-38868-2_34 · Cited by 24 · see citing works
High-Performance Matrix-Vector Multiplication on the GPU
Sørensen, H. H. B. (2012) · Lecture notes in computer science · doi:10.1007/978-3-642-29737-3_42 · Cited by 16 · see citing works
SMT: A Reliability Based Interactive DTI Tractography Algorithm
Yoldemir, B., Acar, B., Fırat, Z., & Kılıçkesmez, Ö. (2012) · IEEE Transactions on Medical Imaging · doi:10.1109/tmi.2012.2210052 · Cited by 9 · see citing works
Basser (2000) · doi:10.1002/1522-2594(200010)44:4
Flagged first, then by citations
Research works printed but not linked: 2
- J.-F. Mangin, P. Fillard, Y. Cointepas, D. Le Bihan, V. Frouin, and C. Poupon, "Towards global tractography," NeuroImage, vol. 80, pp. 290-6, 2013.
- D. Kim, S. Sra, and I. S. Dhillon, "A non-monotonic method for large- scale non-negative least squares," Optim Methods Softw, pp. 1-28, 2012.
Cited by
Sorted by citations
Tractography-based connectomes are dominated by false-positive connections
Maier-Hein, K. H., Neher, P., Houde, J.-C., Côté, M.-A., Garyfallidis, E., Zhong, J., Chamberland, M., Yeh, F.-C., Lin, Y.-C., Ji, Q., et al. (2016) · doi:10.1101/084137 · Cited by 1,361 · see citing works
Self-citationDiffusion MRI fiber tractography of the brain
Jeurissen, B., Descoteaux, M., Mori, S., & Leemans, A. (2019) · NMR in Biomedicine · doi:10.1002/nbm.3785 · Cited by 574 · see citing works
“The main problem with global methods is that they rely on stochastic optimization procedures and consequently do not guarantee convergence to a globally optimal solution.(74) A further problem is the arbitrariness in defining prior knowledge.”
MethodZhang, F., Daducci, A., He, Y., Schiavi, S., Seguin, C., Smith, R. E., Yeh, C.-H., Zhao, T., & O’Donnell, L. J. (2022) · NeuroImage · doi:10.1016/j.neuroimage.2021.118870 · Cited by 302 · see citing works
“Many software packages are available to perform tractography research, including ANIMA [134], BrainSUITE [433], Camino [112], COMMIT [122, 123, 410, 342], Diffusion toolkit [523], Dipy [178], DMIPY [160], DSI studio [566], DTIstudio [249], ExploreDTI [283], FiberNavigator [83], FSL”
MethodInfluentialSelf-citationLimits to anatomical accuracy of diffusion tractography using modern approaches
Schilling, K. G., Nath, V., Hansen, C., Parvathaneni, P., Blaber, J., Gao, Y., Neher, P., Aydogan, D. B., Shi, Y., Ocampo-Pineda, M., et al. (2019) · NeuroImage · doi:10.1016/j.neuroimage.2018.10.029 · Cited by 260 · see citing works
Self-citationMapping Structural Connectivity Using Diffusion <scp>MRI</scp> : Challenges and Opportunities
Yeh, C., Jones, D. K., Liang, X., Descoteaux, M., & Connelly, A. (2021) · Journal of Magnetic Resonance Imaging · doi:10.1002/jmri.27188 · Cited by 187 · see citing works
Microstructure informed tractography: pitfalls and open challenges
Daducci, A., Dal Palú, A., Descoteaux, M., & Thiran, J.-P. (2016) · Frontiers in Neuroscience · doi:10.3389/fnins.2016.00247 · Cited by 138 · see citing works
Self-citationGirard, G., Caminiti, R., Battaglia-Mayer, A., St-Onge, E., Ambrosen, K. S., Eskildsen, S. F., Krug, K., Dyrby, T. B., Descoteaux, M., Thiran, J.-P., et al. (2020) · NeuroImage · doi:10.1016/j.neuroimage.2020.117201 · Cited by 83 · see citing works
Self-citationAydogan, D. B., Jacobs, R., Dulawa, S., Thompson, S. L., Francois, M. C., Toga, A. W., Dong, H., Knowles, J. A., & Shi, Y. (2018) · Brain Structure and Function · doi:10.1007/s00429-018-1663-8 · Cited by 72 · see citing works
Fiber tractography using machine learning
Neher, P. F., Côté, M.-A., Houde, J.-C., Descoteaux, M., & Maier-Hein, K. H. (2017) · NeuroImage · doi:10.1016/j.neuroimage.2017.07.028 · Cited by 68 · see citing works
Fiber length profiling: a novel approach to structural brain organization
Bajada, C. J., Schreiber, J., & Caspers, S. (2019) · NeuroImage · doi:10.1016/j.neuroimage.2018.10.070 · Cited by 55 · see citing works
Hierarchical microstructure informed tractography
Ocampo-Pineda, M., Schiavi, S., Rheault, F., Girard, G., Petit, L., Descoteaux, M., & Daducci, A. (2021) · Brain Connectivity · doi:10.1089/brain.2020.0907 · Cited by 19 · see citing works
Self-citation
- Authors
- Daducci, A., Dal Palu, A., Lemkaddem, A., & Thiran, J.-P.
- Affiliations
- Centre Hospitalier Universitaire Vaudois (CH)
- École Polytechnique Fédérale de Lausanne (CH)
- Venue
- IEEE Transactions on Medical Imaging
- Published
- 2015-01
- Volume
- 34
- Issue
- 1
- Pages
- 246-257
- ISSN
- 0278-0062 (ISSN-L)
- 1558-254X
- OpenAlex
- W2077095532
- Cited by
- 255
- References
- 49
- Citations by year
- 2026: 15 · 2025: 23 · 2024: 26 · 2023: 18 · 2022: 25 · 2021: 32 · 2020: 27 · 2019: 26 · 2018: 21 · 2017: 18 · 2016: 12 · 2015: 9 · 2014: 2 · 2013: 1
- FWCI
- 10.69
- Type
- journal article
- Language
- en
- Open access
- green
- infoscience.epfl.ch
- Locations
- IEEE Transactions on Medical Imaging (publishedVersion)
- PubMed (publishedVersion)
- Infoscience (Ecole Polytechnique Fédérale de Lausanne) (submittedVersion, cc-by-nc-nd)
- Infoscience (Ecole Polytechnique Fédérale de Lausanne) (submittedVersion)
- IRIS (submittedVersion)
- SERVAL (Université de Lausanne) (submittedVersion)
- Funders
- Swiss National Science Foundation (205321-144529)
- Center for Biomedical Imaging (CIBM) of the Geneva-Lausanne Universities and the EPFL
- Topics
- Health Sciences › Medicine › Radiology, Nuclear Medicine and Imaging › Advanced Neuroimaging Techniques and Applications
- Health Sciences › Medicine › Radiology, Nuclear Medicine and Imaging › Advanced MRI Techniques and Applications
- Life Sciences › Neuroscience › Cognitive Neuroscience › Functional Brain Connectivity Studies
- Keywords
- tractography, diffusion MRI, white matter microstructure, multi-compartment model, convex optimization, axon density, structural connectivity, quantitative diffusion MRI
- MeSH terms
- Algorithms, Brain, Brain Mapping, Humans, Image Processing, Computer-Assisted, Phantoms, Imaging, Diffusion Magnetic Resonance Imaging, Diffusion Tensor Imaging
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review