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Diffusion MRI Tractography: Limitations and advanced solutions January 2010 Jennifer Campbell

Diffusion MRI Tractography - McGill University · 2010-01-12 · Diffusion MRI tractography results include many false positives and false negatives: priors are essential. – Tractography

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Page 1: Diffusion MRI Tractography - McGill University · 2010-01-12 · Diffusion MRI tractography results include many false positives and false negatives: priors are essential. – Tractography

Diffusion MRI Tractography:Limitations and advanced solutions

January 2010

Jennifer Campbell

Page 2: Diffusion MRI Tractography - McGill University · 2010-01-12 · Diffusion MRI tractography results include many false positives and false negatives: priors are essential. – Tractography

• Introduction• Considerations for optimal tractography• Applications of advanced diffusion processing

Diffusion MRI Tractography:Limitations and advanced solutions

Page 3: Diffusion MRI Tractography - McGill University · 2010-01-12 · Diffusion MRI tractography results include many false positives and false negatives: priors are essential. – Tractography

Diffusion MRI measures Brownian motion of water molecules

Path of diffusing water molecule

Water displacement distribution

Page 4: Diffusion MRI Tractography - McGill University · 2010-01-12 · Diffusion MRI tractography results include many false positives and false negatives: priors are essential. – Tractography

Tissue structures determine which directions of motion are most probable

White matter fibre bundle: oriented

structure

Water molecules prefer to travel parallel to fibre

direction

Page 5: Diffusion MRI Tractography - McGill University · 2010-01-12 · Diffusion MRI tractography results include many false positives and false negatives: priors are essential. – Tractography

Diffusion tensor imaging (DTI)

λ1λ3

λ2e1

diffusion tensor measurement: model the displacement distribution as 3D Gaussian, which can be described by the diffusion tensor, D.

−−•

∆∆

=d

T

d

rrrrrrPτπτ 4

)()(exp)4(|)(|

1),|( 01

012

DD 3

Page 6: Diffusion MRI Tractography - McGill University · 2010-01-12 · Diffusion MRI tractography results include many false positives and false negatives: priors are essential. – Tractography

Fibre tracking using diffusion MRI data

Diffusion MRI data

Water displacement profile

Fibre directions

Fibre tracts

Page 7: Diffusion MRI Tractography - McGill University · 2010-01-12 · Diffusion MRI tractography results include many false positives and false negatives: priors are essential. – Tractography

Tractography

Streamline integration methods:- “fibre assignment using continuous tracking” (FACT)-Euler-RK4

S. Mori et al, AN 45:265-269, 1999

Page 8: Diffusion MRI Tractography - McGill University · 2010-01-12 · Diffusion MRI tractography results include many false positives and false negatives: priors are essential. – Tractography

Tractography

What does tractography tell us?-is A connected to B?-how are A and B connected?-how confident are we in this

connection?

Applications of tractography:-visualization: localization, education-segmentation (both white matter and

grey matter)-investigating clinically differences

between pathways in different populations-neuroanatomical questions

Page 9: Diffusion MRI Tractography - McGill University · 2010-01-12 · Diffusion MRI tractography results include many false positives and false negatives: priors are essential. – Tractography

Tractography

Lateral connections?

Page 10: Diffusion MRI Tractography - McGill University · 2010-01-12 · Diffusion MRI tractography results include many false positives and false negatives: priors are essential. – Tractography

Considerations for optimal tractography

• angular resolution• choice of processing/modeling• spatial resolution• quantification of uncertainty

Page 11: Diffusion MRI Tractography - McGill University · 2010-01-12 · Diffusion MRI tractography results include many false positives and false negatives: priors are essential. – Tractography

Considerations for optimal tractography

• angular resolution• choice of processing/modeling• spatial resolution• quantification of uncertainty

Page 12: Diffusion MRI Tractography - McGill University · 2010-01-12 · Diffusion MRI tractography results include many false positives and false negatives: priors are essential. – Tractography

Diffusion weighted images

Page 13: Diffusion MRI Tractography - McGill University · 2010-01-12 · Diffusion MRI tractography results include many false positives and false negatives: priors are essential. – Tractography

Diffusion weighted signal intensity: high value in directions perpendicular to fibres

Diffusion weighted signal profile

Page 14: Diffusion MRI Tractography - McGill University · 2010-01-12 · Diffusion MRI tractography results include many false positives and false negatives: priors are essential. – Tractography

Probability of water displacement orientation distribution function (ODF)

Diffusion tensor model

Page 15: Diffusion MRI Tractography - McGill University · 2010-01-12 · Diffusion MRI tractography results include many false positives and false negatives: priors are essential. – Tractography

High Angular Resolution Diffusion Imaging (HARDI)

q-ball imaging

Page 16: Diffusion MRI Tractography - McGill University · 2010-01-12 · Diffusion MRI tractography results include many false positives and false negatives: priors are essential. – Tractography

QBI DTI

High Angular Resolution Diffusion Imaging (HARDI)

Page 17: Diffusion MRI Tractography - McGill University · 2010-01-12 · Diffusion MRI tractography results include many false positives and false negatives: priors are essential. – Tractography

Why use high angular resolution diffusion MRI?• Reduce false positive and false negative tractography results due to

crossings• In voxels where fibres cross, single fibre approaches can yield:

– ambiguous fibre direction– incorrect fibre direction– only one fibre direction

(that of fascicle with largest volume fraction) • Examples of such regions:

– basis pontis, subcortical white matter, superior longitudinal fasciculus, acoustic radiations, projection from subgenual white matter to amygdala, optic chiasm, caudate nucleus, corpus callosum, cortical spinal tract, cingulate bundle.

Page 18: Diffusion MRI Tractography - McGill University · 2010-01-12 · Diffusion MRI tractography results include many false positives and false negatives: priors are essential. – Tractography

DTI vs. HARDI :Tractography in phantom

single fibre multi-fibreCampbell et al. ISBI 2006.

Page 19: Diffusion MRI Tractography - McGill University · 2010-01-12 · Diffusion MRI tractography results include many false positives and false negatives: priors are essential. – Tractography

DTI vs. HARDI: tractography in vivo

single fibre tractography

multi fibre tractography

Catani et al. Cortex 2008. Behrens et al. NeuroImage 2007.

Page 20: Diffusion MRI Tractography - McGill University · 2010-01-12 · Diffusion MRI tractography results include many false positives and false negatives: priors are essential. – Tractography

Considerations for optimal tractography

• angular resolution• choice of processing/modeling• spatial resolution• quantification of uncertainty

Page 21: Diffusion MRI Tractography - McGill University · 2010-01-12 · Diffusion MRI tractography results include many false positives and false negatives: priors are essential. – Tractography

Crossing fibre reconstruction approaches

• multi-tensor approaches (Alexander et al., Parker et al., others)

• multi ball and stick (Behrens et al.)

• Composite hindered and restricted model of diffusion (CHARMED) (Assaf et al.)

• diffusion spectrum imaging (DSI) (Wedeen et al.)

• q-ball imaging (QBI) (Tuch et al.)

• spherical deconvolution (Tournier et al., Anderson, others)

• other variants

Page 22: Diffusion MRI Tractography - McGill University · 2010-01-12 · Diffusion MRI tractography results include many false positives and false negatives: priors are essential. – Tractography

Multi-tensor model

Page 23: Diffusion MRI Tractography - McGill University · 2010-01-12 · Diffusion MRI tractography results include many false positives and false negatives: priors are essential. – Tractography

Behrens’ ball and stick model

Page 24: Diffusion MRI Tractography - McGill University · 2010-01-12 · Diffusion MRI tractography results include many false positives and false negatives: priors are essential. – Tractography

Composite hindered and restricted model of diffusion

(CHARMED)

hindered restricted

Page 25: Diffusion MRI Tractography - McGill University · 2010-01-12 · Diffusion MRI tractography results include many false positives and false negatives: priors are essential. – Tractography

Diffusion Spectrum Imaging (DSI)

3D diffusion pdf 2D diffusion ODF

Page 26: Diffusion MRI Tractography - McGill University · 2010-01-12 · Diffusion MRI tractography results include many false positives and false negatives: priors are essential. – Tractography

q-ball Imaging (QBI)

Page 27: Diffusion MRI Tractography - McGill University · 2010-01-12 · Diffusion MRI tractography results include many false positives and false negatives: priors are essential. – Tractography

Crossing fibre detection:QBI vs. Deconvolution

Diffusion ODF Deconvolved ODF

Page 28: Diffusion MRI Tractography - McGill University · 2010-01-12 · Diffusion MRI tractography results include many false positives and false negatives: priors are essential. – Tractography

Crossing fibre reconstruction approaches

• multi-tensor approaches (Alexander et al., Parker et al., others)

• multi ball and stick (Behrens et al.)

• Composite hindered and restricted model of diffusion (CHARMED) (Assaf et al.)

• diffusion spectrum imaging (DSI) (Wedeen et al.)

• q-ball imaging (QBI) (Tuch et al.)

• spherical deconvolution (Tournier et al., Anderson, others)

• other variants

Page 29: Diffusion MRI Tractography - McGill University · 2010-01-12 · Diffusion MRI tractography results include many false positives and false negatives: priors are essential. – Tractography

Inferring higher angular resolution from limited datasets

DTI QBI regularized DTI

Curve Inference using neighbourhood information

Page 30: Diffusion MRI Tractography - McGill University · 2010-01-12 · Diffusion MRI tractography results include many false positives and false negatives: priors are essential. – Tractography

Savadjiev et al. NeuroImage 2008.

Beyond crossing: other complex subvoxel geometries

Curve Inference to distinguish fanning from bending fibres

Page 31: Diffusion MRI Tractography - McGill University · 2010-01-12 · Diffusion MRI tractography results include many false positives and false negatives: priors are essential. – Tractography

Beyond crossing: other complex subvoxel geometries

subvoxel fanning of fibres

Page 32: Diffusion MRI Tractography - McGill University · 2010-01-12 · Diffusion MRI tractography results include many false positives and false negatives: priors are essential. – Tractography

Beyond crossing: other complex subvoxel geometries

tracking without fanning

tracking with fanning

Page 33: Diffusion MRI Tractography - McGill University · 2010-01-12 · Diffusion MRI tractography results include many false positives and false negatives: priors are essential. – Tractography

Considerations for optimal tractography

• angular resolution• choice of processing/modeling• spatial resolution• quantification of uncertainty

Page 34: Diffusion MRI Tractography - McGill University · 2010-01-12 · Diffusion MRI tractography results include many false positives and false negatives: priors are essential. – Tractography

Jumping from tract system to tract system

Effects of limited spatial resolution

Page 35: Diffusion MRI Tractography - McGill University · 2010-01-12 · Diffusion MRI tractography results include many false positives and false negatives: priors are essential. – Tractography

Jumping from tract system to tract system

Effects of limited spatial resolution

Page 36: Diffusion MRI Tractography - McGill University · 2010-01-12 · Diffusion MRI tractography results include many false positives and false negatives: priors are essential. – Tractography

Interpreting results:using priors in tractography

Mori 2001

Page 37: Diffusion MRI Tractography - McGill University · 2010-01-12 · Diffusion MRI tractography results include many false positives and false negatives: priors are essential. – Tractography

Missing information: small volume fractions

Page 38: Diffusion MRI Tractography - McGill University · 2010-01-12 · Diffusion MRI tractography results include many false positives and false negatives: priors are essential. – Tractography

Missing information: small volume fractions

Page 39: Diffusion MRI Tractography - McGill University · 2010-01-12 · Diffusion MRI tractography results include many false positives and false negatives: priors are essential. – Tractography

Missing information: small volume fractions

user-assisted tractography using priors

Page 40: Diffusion MRI Tractography - McGill University · 2010-01-12 · Diffusion MRI tractography results include many false positives and false negatives: priors are essential. – Tractography

Considerations for optimal tractography

• angular resolution• choice of processing/modeling• spatial resolution• quantification of uncertainty

Page 41: Diffusion MRI Tractography - McGill University · 2010-01-12 · Diffusion MRI tractography results include many false positives and false negatives: priors are essential. – Tractography

residual bootstrap statistical technique to estimate uncertainty in fibre directions

Fibre directions and uncertainty

Page 42: Diffusion MRI Tractography - McGill University · 2010-01-12 · Diffusion MRI tractography results include many false positives and false negatives: priors are essential. – Tractography

Fibre directions and uncertainty

Page 43: Diffusion MRI Tractography - McGill University · 2010-01-12 · Diffusion MRI tractography results include many false positives and false negatives: priors are essential. – Tractography

Tractography incorporating uncertainty

Page 44: Diffusion MRI Tractography - McGill University · 2010-01-12 · Diffusion MRI tractography results include many false positives and false negatives: priors are essential. – Tractography

Uncertainty and fanning fibres

no fanning fanning

Page 45: Diffusion MRI Tractography - McGill University · 2010-01-12 · Diffusion MRI tractography results include many false positives and false negatives: priors are essential. – Tractography

Tractography

Lateral connections?

Page 46: Diffusion MRI Tractography - McGill University · 2010-01-12 · Diffusion MRI tractography results include many false positives and false negatives: priors are essential. – Tractography

Tractographydifferent algorithmic approaches to the problem:

“ are A and B connected, and what is our confidence in this connection?”

vs.“A and B are connected. What is our confidence in this connection?”

Jbabdi et al. NeuroImage 2007

Page 47: Diffusion MRI Tractography - McGill University · 2010-01-12 · Diffusion MRI tractography results include many false positives and false negatives: priors are essential. – Tractography

SummaryDiffusion MRI tractography results include many false positives and false negatives: priors are essential.– Tractography is good for segmentation of parts of

pathways, but segmenting the entire pathway can be challenging.

– Characterizing unknown new anatomy is much more difficult than studying known anatomy.

– Tractography does not distinguish between afferent and efferent pathways, or between mono- and multisynapticconnection.

– Diffusion MRI has relatively course resolution: jumping from pathway to pathway is common.

– Tractography gives us a nice way to visualize fibredirectionality in 3D.

Page 48: Diffusion MRI Tractography - McGill University · 2010-01-12 · Diffusion MRI tractography results include many false positives and false negatives: priors are essential. – Tractography

Applications: studies using crossing fibre approaches

• basic neuroanatomy• nonhuman primates• structure and function• understanding disease• understanding therapies

Page 49: Diffusion MRI Tractography - McGill University · 2010-01-12 · Diffusion MRI tractography results include many false positives and false negatives: priors are essential. – Tractography

Applications: basic neuroanatomy

Page 50: Diffusion MRI Tractography - McGill University · 2010-01-12 · Diffusion MRI tractography results include many false positives and false negatives: priors are essential. – Tractography

Applications: tractography in regions of crossing fibres

fibre crossings in regions of partial volume averaging of pathways, e.g., SLF - CC - CST

Page 51: Diffusion MRI Tractography - McGill University · 2010-01-12 · Diffusion MRI tractography results include many false positives and false negatives: priors are essential. – Tractography

Applications: tractography in regions of crossing fibres

Page 52: Diffusion MRI Tractography - McGill University · 2010-01-12 · Diffusion MRI tractography results include many false positives and false negatives: priors are essential. – Tractography

Applications: basic neuroanatomy

Frey et al. J.NSci 2008.

Page 53: Diffusion MRI Tractography - McGill University · 2010-01-12 · Diffusion MRI tractography results include many false positives and false negatives: priors are essential. – Tractography

Applications – nonhuman primates

Page 54: Diffusion MRI Tractography - McGill University · 2010-01-12 · Diffusion MRI tractography results include many false positives and false negatives: priors are essential. – Tractography

Applications – nonhuman primates

Schmamann et al. Brain 2007.

Page 55: Diffusion MRI Tractography - McGill University · 2010-01-12 · Diffusion MRI tractography results include many false positives and false negatives: priors are essential. – Tractography

Applications: structure and function

Page 56: Diffusion MRI Tractography - McGill University · 2010-01-12 · Diffusion MRI tractography results include many false positives and false negatives: priors are essential. – Tractography

Applications: structure and function

Powell et al. NeuroImage 2006.

Page 57: Diffusion MRI Tractography - McGill University · 2010-01-12 · Diffusion MRI tractography results include many false positives and false negatives: priors are essential. – Tractography

Applications: structure and function

Page 58: Diffusion MRI Tractography - McGill University · 2010-01-12 · Diffusion MRI tractography results include many false positives and false negatives: priors are essential. – Tractography

Applications: structure and function

Boorman et al. Curr. Biol. 2007.

paired pulse transcranialmagnetic stimulation

correlate modulation of motor evoked potentials (MEPs) with fractional anisotropy (FA)

seed tractography in correlated regions

Page 59: Diffusion MRI Tractography - McGill University · 2010-01-12 · Diffusion MRI tractography results include many false positives and false negatives: priors are essential. – Tractography

Applications: clinical research

Page 60: Diffusion MRI Tractography - McGill University · 2010-01-12 · Diffusion MRI tractography results include many false positives and false negatives: priors are essential. – Tractography

Applications: clinical research

Yogarajah et al. NeuroImage 2008.

Findings:

increased left intratract FA in L TLE

22% reduction in left tract volume in L TLE

Page 61: Diffusion MRI Tractography - McGill University · 2010-01-12 · Diffusion MRI tractography results include many false positives and false negatives: priors are essential. – Tractography

Applications: understanding therapies

Page 62: Diffusion MRI Tractography - McGill University · 2010-01-12 · Diffusion MRI tractography results include many false positives and false negatives: priors are essential. – Tractography

Gutman et al. Biol. Psych. 2009

Applications: understanding therapies

tractography seeded at sites used for deep brain stimulation

overlap in tractography maps corresponds to areas involved in depression

furthers our understanding of why this therapy is effective

Page 63: Diffusion MRI Tractography - McGill University · 2010-01-12 · Diffusion MRI tractography results include many false positives and false negatives: priors are essential. – Tractography

Acknowledgements

G. Bruce PikeKaleem SiddiqiIlana LeppertPeter SavadjievParya Mamayyez SiahkalSteve FreyVladimir Rymar

Ives LevesqueJean ChenMike FerreiraChristine TardifClarisse MarkIleana Jelescu