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Declaration of Conflict of Interest or Relationship Speaker Name: Thomas Liu Speaker Name: Thomas Liu I have no conflicts of interest to disclose with regard to the I have no conflicts of interest to disclose with regard to the subject matter of subject matter of this presentation. this presentation.

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Page 1: Declaration of Conflict of Interest or Relationship Speaker Name: Thomas Liu I have no conflicts of interest to disclose with regard to the subject matter

Declaration of Conflict of Interest or Relationship

Speaker Name: Thomas LiuSpeaker Name: Thomas Liu

I have no conflicts of interest to disclose with regard to the subject matter I have no conflicts of interest to disclose with regard to the subject matter ofofthis presentation.this presentation.

Page 2: Declaration of Conflict of Interest or Relationship Speaker Name: Thomas Liu I have no conflicts of interest to disclose with regard to the subject matter

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Thomas LiuUniversity of California, San

DiegoMay 4, 2008

Functional MRISignal Interpretation and Calibration

Page 3: Declaration of Conflict of Interest or Relationship Speaker Name: Thomas Liu I have no conflicts of interest to disclose with regard to the subject matter

Topics

• BOLD signal model• Sources of Variability and Confounds• Normalization Methods• Calibration Methods

Page 4: Declaration of Conflict of Interest or Relationship Speaker Name: Thomas Liu I have no conflicts of interest to disclose with regard to the subject matter

BOLD Contrast

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Source: Ogawa et al., 1992

Page 5: Declaration of Conflict of Interest or Relationship Speaker Name: Thomas Liu I have no conflicts of interest to disclose with regard to the subject matter

BOLD Signal Change

ΔBOLDBOLD0

=SA − SBSB

= exp −TE ⋅ R2,A∗ − R2,B

∗( )( ) −1

= exp −TE ⋅ΔR2∗

( ) −1

SB = M0 exp −TE ⋅R2,B*

( )

Baseline Signal

TE

Activation Signal

SA = M0 exp −TE ⋅R2,A*

( )

ΔBOLDBOLD0

≈ −TE ⋅ΔR2∗

Page 6: Declaration of Conflict of Interest or Relationship Speaker Name: Thomas Liu I have no conflicts of interest to disclose with regard to the subject matter

Hemoglobin and Field Inhomogeneities

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Oxygen binds to the iron atoms to form oxyhemoglobin HbO2

Release of O2 to tissue results in deoxyhemoglobin dHBO2

http://www.people.virginia.edu/~rjh9u/hemoglob.html

B0

Field Maps

More dHB Less dHB

Page 7: Declaration of Conflict of Interest or Relationship Speaker Name: Thomas Liu I have no conflicts of interest to disclose with regard to the subject matter

Signal Decay

time0 TE

Some dHB, Some dephasing

More dHB, More dephasing, Decrease in MR signal

Page 8: Declaration of Conflict of Interest or Relationship Speaker Name: Thomas Liu I have no conflicts of interest to disclose with regard to the subject matter

BOLD Signal Equation

R2,dHB∗ = A ⋅CBV ⋅ dHb[ ]v

β

Ogawa et al, 1993; Boxerman et al 1995, Hoge et al. 1999

R2∗ = R2,dHb

∗ + R2,OTHER∗

Ogawa et al, 1993

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Large vesselsLinear =1

Diffusion around small vesselsQuadratic =2

Simulations suggest 1.5 is a reasonable value

Cerebral Blood Volume

Page 9: Declaration of Conflict of Interest or Relationship Speaker Name: Thomas Liu I have no conflicts of interest to disclose with regard to the subject matter

Blood Flow and Oxygen Metabolism

Cerebral Blood Flow (CBF) measures delivery of blood to brain tissue (units of ml/(g-min))

Cerebral Metabolic Rate of (CMRO2) is the rate of oxygen consumption (units of mol/(g-min))

CBF [O2]arterial

CMRO2

Oxygen extraction fraction (E)

CMRO2= E CBF [O2]arterial

Page 10: Declaration of Conflict of Interest or Relationship Speaker Name: Thomas Liu I have no conflicts of interest to disclose with regard to the subject matter

Deoxyhemoglobin

= CMRO2 / 4CBF

CMRO2 [dHB]venous

CBF [dHB]venous

O2

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[dHB]venous E [O2]arterial / 4

Page 11: Declaration of Conflict of Interest or Relationship Speaker Name: Thomas Liu I have no conflicts of interest to disclose with regard to the subject matter

fMRI: Spatial Temporal Dynamicsarteriole venulecapillary bed

CMRO2

CBF

oxyHbdeoxyHb

Initial dip

Positive BOLD

Post-stimulus Response

Neural activity

CMRO2

CBV

CBF

dHb

CMRO2

CBV

CBF

dHb

CMRO2

CBV

CBF

dHb

Page 12: Declaration of Conflict of Interest or Relationship Speaker Name: Thomas Liu I have no conflicts of interest to disclose with regard to the subject matter

BOLD Signal Equation (Davis Model)

ΔBOLDBOLD0

≈ −TE ⋅ΔR2,dHB∗

ΔBOLDBOLD0

≈ M 1−CBF

CBF0

⎝ ⎜

⎠ ⎟

α −βCMRO2

CMRO2,0

⎝ ⎜

⎠ ⎟

β ⎛

⎝ ⎜ ⎜

⎠ ⎟ ⎟

M = TE ⋅A ⋅CBV0 ⋅[dHb0]βMaximal BOLD signal

CBV

CBV0

⎝ ⎜

⎠ ⎟=CBF

CBF0

⎝ ⎜

⎠ ⎟

α

Grubb’s Relation; 0.38

Page 13: Declaration of Conflict of Interest or Relationship Speaker Name: Thomas Liu I have no conflicts of interest to disclose with regard to the subject matter

Davis Model

Hoge et al. 1999

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ΔBOLDBOLD0

≈ M 1−CBF

CBF0

⎝ ⎜

⎠ ⎟

α −βCMRO2

CMRO2,0

⎝ ⎜

⎠ ⎟

β ⎛

⎝ ⎜ ⎜

⎠ ⎟ ⎟

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Page 14: Declaration of Conflict of Interest or Relationship Speaker Name: Thomas Liu I have no conflicts of interest to disclose with regard to the subject matter

BOLD Signal Path

NeuralActivity

Metabolism(CMRO2)

Cerebral Blood Flow

Cerebral Blood Volume

deoxyHbBOLDSignal

Page 15: Declaration of Conflict of Interest or Relationship Speaker Name: Thomas Liu I have no conflicts of interest to disclose with regard to the subject matter

Interpreting BOLD

• Most fMRI studies assume that the BOLD signal is is proportional to brain activity.

• This is a reasonable assumption for basic studies of healthy young unmedicated subjects.

• However, the assumption is less valid for studies where disease, medication, and age may be a factor. Boynton et al, 1996

Page 16: Declaration of Conflict of Interest or Relationship Speaker Name: Thomas Liu I have no conflicts of interest to disclose with regard to the subject matter

Variability in BOLD amplitude

Data courtesy of J. Liau

Page 17: Declaration of Conflict of Interest or Relationship Speaker Name: Thomas Liu I have no conflicts of interest to disclose with regard to the subject matter

BOLD Signal Chain

Ianetti and Wise, MRI, 2007

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Page 18: Declaration of Conflict of Interest or Relationship Speaker Name: Thomas Liu I have no conflicts of interest to disclose with regard to the subject matter

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Effect of Age

D’Esposito et al 2003

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Page 19: Declaration of Conflict of Interest or Relationship Speaker Name: Thomas Liu I have no conflicts of interest to disclose with regard to the subject matter

Effects of Vascular Disease

D’Esposito et al 2003

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Iadecola et al 2003

Page 20: Declaration of Conflict of Interest or Relationship Speaker Name: Thomas Liu I have no conflicts of interest to disclose with regard to the subject matter

Cohen et al 2002

Carbon DioxideHigher CBFLower CBF

Page 21: Declaration of Conflict of Interest or Relationship Speaker Name: Thomas Liu I have no conflicts of interest to disclose with regard to the subject matter

Caffeine

Liu et al 2004

Lower CBF

Page 22: Declaration of Conflict of Interest or Relationship Speaker Name: Thomas Liu I have no conflicts of interest to disclose with regard to the subject matter

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Interpreting BOLD

Ianetti and Wise, MRI, 2007

Page 23: Declaration of Conflict of Interest or Relationship Speaker Name: Thomas Liu I have no conflicts of interest to disclose with regard to the subject matter

NeuralActivity

Metabolism(CMRO2)

Cerebral Blood Flow

Cerebral Blood Volume

deoxyHbBOLDSignal

Trust MRI Measures of whole brain venous

oxygenation

Response to Breathhold or CO2;

Resting-state Fluctuations

ASL measures of regional baseline CBF

Page 24: Declaration of Conflict of Interest or Relationship Speaker Name: Thomas Liu I have no conflicts of interest to disclose with regard to the subject matter

BOLD and Venous Oxygenation

ΔBOLDBOLD0

≈ M 1−CBF

CBF0

⎝ ⎜

⎠ ⎟

α −βCMRO2

CMRO2,0

⎝ ⎜

⎠ ⎟

β ⎛

⎝ ⎜ ⎜

⎠ ⎟ ⎟

M = TE ⋅A ⋅CBV0 ⋅[dHb0]β Inter-subject Differences in M can lead to inter-subject differences in BOLD

[dHb0]∝ E =1−Yv

TRUST MRI (Lu et al 2007): Measures of whole brain venous oxygenation saturation.

Yv [dHB]venous

BOLD

Page 25: Declaration of Conflict of Interest or Relationship Speaker Name: Thomas Liu I have no conflicts of interest to disclose with regard to the subject matter

Venous Oxygenation (TRUST MRI)

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Lu, ISMRM 2007

Page 26: Declaration of Conflict of Interest or Relationship Speaker Name: Thomas Liu I have no conflicts of interest to disclose with regard to the subject matter

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TRUST MRI

Lu et al, Abstract 855, ISMRM 2008

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Page 27: Declaration of Conflict of Interest or Relationship Speaker Name: Thomas Liu I have no conflicts of interest to disclose with regard to the subject matter

BOLD and Baseline CBF

ΔBOLDBOLD0

≈ M 1−CBF

CBF0

⎝ ⎜

⎠ ⎟

α −βCMRO2

CMRO2,0

⎝ ⎜

⎠ ⎟

β ⎛

⎝ ⎜ ⎜

⎠ ⎟ ⎟

M = TE ⋅A ⋅CBV0 ⋅[dHb0]β

≈TE ⋅A ⋅CBF0α ⋅[dHb0]β

?dHb BOLD

ΔCBF BOLD

CBF0 M BOLD

Page 28: Declaration of Conflict of Interest or Relationship Speaker Name: Thomas Liu I have no conflicts of interest to disclose with regard to the subject matter

BOLD variability and Baseline CBF

• M appears to be independent of CBF -- effects of increased CBF and decreased [dHb] appear to cancel out• Variability in the BOLD response across subjects appears to be driven by inter-subject differences in the

CBF response.

Liau et al, Abstract 854, ISMRM 2008

Page 29: Declaration of Conflict of Interest or Relationship Speaker Name: Thomas Liu I have no conflicts of interest to disclose with regard to the subject matter

Breathold/Hypercapnic Normalization

ΔBOLDBOLD0

≈ M 1−CBF

CBF0

⎝ ⎜

⎠ ⎟

α −βCMRO2

CMRO2,0

⎝ ⎜

⎠ ⎟

β ⎛

⎝ ⎜ ⎜

⎠ ⎟ ⎟

ΔBOLDBOLD0

⎝ ⎜

⎠ ⎟BH

≈ M 1−CBFBHCBF0

⎝ ⎜

⎠ ⎟

α −βCMRO2,BH

CMRO2,0

⎝ ⎜

⎠ ⎟

β ⎛

⎝ ⎜ ⎜

⎠ ⎟ ⎟

1

ΔBOLDBOLD0

⎝ ⎜

⎠ ⎟BH

≈ M 1−CBFBHCBF0

⎝ ⎜

⎠ ⎟

α −β ⎛

⎝ ⎜ ⎜

⎠ ⎟ ⎟

ΔBOLDBOLD0

ΔBOLD

BOLD0

⎝ ⎜

⎠ ⎟BH

M 1−CBF

CBF0

⎝ ⎜

⎠ ⎟

α −βCMRO2

CMRO2,0

⎝ ⎜

⎠ ⎟

β ⎛

⎝ ⎜ ⎜

⎠ ⎟ ⎟

M 1−CBFBHCBF0

⎝ ⎜

⎠ ⎟

α −β ⎛

⎝ ⎜ ⎜

⎠ ⎟ ⎟

ΔBOLDBOLD0

ΔBOLD

BOLD0

⎝ ⎜

⎠ ⎟BH

1−CBF

CBF0

⎝ ⎜

⎠ ⎟

α −βCMRO2

CMRO2,0

⎝ ⎜

⎠ ⎟

β ⎛

⎝ ⎜ ⎜

⎠ ⎟ ⎟

1−CBFBHCBF0

⎝ ⎜

⎠ ⎟

α −β ⎛

⎝ ⎜ ⎜

⎠ ⎟ ⎟

Page 30: Declaration of Conflict of Interest or Relationship Speaker Name: Thomas Liu I have no conflicts of interest to disclose with regard to the subject matter

Breathhold Calibration

Thomason et al, 2007

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Bre

athh

old

Sig

nal

Page 31: Declaration of Conflict of Interest or Relationship Speaker Name: Thomas Liu I have no conflicts of interest to disclose with regard to the subject matter

Breathhold Calibration

Thomason et al, 2007

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Page 32: Declaration of Conflict of Interest or Relationship Speaker Name: Thomas Liu I have no conflicts of interest to disclose with regard to the subject matter

Hypercapnic Calibration

Cohen et al, 2004

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Page 33: Declaration of Conflict of Interest or Relationship Speaker Name: Thomas Liu I have no conflicts of interest to disclose with regard to the subject matter

Scaling with Resting-State Fluctuations

Wise et al 2004;

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Page 34: Declaration of Conflict of Interest or Relationship Speaker Name: Thomas Liu I have no conflicts of interest to disclose with regard to the subject matter

Scaling with Resting-State Fluctuations

Birn et al 2006;

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Page 35: Declaration of Conflict of Interest or Relationship Speaker Name: Thomas Liu I have no conflicts of interest to disclose with regard to the subject matter

Scaling with Resting-State Fluctuations

Kannapurti and Biswal 2008; also Abstract 750

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Page 36: Declaration of Conflict of Interest or Relationship Speaker Name: Thomas Liu I have no conflicts of interest to disclose with regard to the subject matter

Summary of Normalization Approaches

• Additional measures can account for BOLD variability due to variations in baseline blood flow, volume, oxygenation, field strength, etc.

• Measures of venous oxygenation, cerebral blood flow, and resting fluctuations have the advantage of not requiring the subject to perform additional tasks.

• These approaches offer some insight into the factors that can affect the BOLD response between subjects, groups, and conditions.

Page 37: Declaration of Conflict of Interest or Relationship Speaker Name: Thomas Liu I have no conflicts of interest to disclose with regard to the subject matter

NeuralActivity

Metabolism(CMRO2)

Cerebral Blood Flow

Cerebral Blood Volume

deoxyHbBOLDSignal

ASLSignal

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Page 38: Declaration of Conflict of Interest or Relationship Speaker Name: Thomas Liu I have no conflicts of interest to disclose with regard to the subject matter

Calibrated fMRI (Davis et al 1998)

ΔBOLDBOLD0

≈ M 1−CBF

CBF0

⎝ ⎜

⎠ ⎟

α −βCMRO2

CMRO2,0

⎝ ⎜

⎠ ⎟

β ⎛

⎝ ⎜ ⎜

⎠ ⎟ ⎟

ΔBOLDBOLD0

⎝ ⎜

⎠ ⎟CO2

≈ M 1−CBFCO2

CBF0

⎝ ⎜

⎠ ⎟

α −βCMRO2,CO2

CMRO2,0

⎝ ⎜

⎠ ⎟

β ⎛

⎝ ⎜ ⎜

⎠ ⎟ ⎟

1

ΔBOLDBOLD0

⎝ ⎜

⎠ ⎟CO2

≈ M 1−CBFCO2

CBF0

⎝ ⎜

⎠ ⎟

α −β ⎛

⎝ ⎜ ⎜

⎠ ⎟ ⎟

M =

ΔBOLD

BOLD0

⎝ ⎜

⎠ ⎟CO2

1−CBFCO2

CBF0

⎝ ⎜

⎠ ⎟

α −β ⎛

⎝ ⎜ ⎜

⎠ ⎟ ⎟

CMRO2

CMRO2,0

⎝ ⎜

⎠ ⎟

β

=

1−ΔBOLD

M ⋅BOLD0

⎝ ⎜

⎠ ⎟

CBF

CBF0

⎝ ⎜

⎠ ⎟

α −β

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Page 39: Declaration of Conflict of Interest or Relationship Speaker Name: Thomas Liu I have no conflicts of interest to disclose with regard to the subject matter

Experimental Protocol

2x Block design visual stimulus

20s 60s

%∆CBF%∆BOLD

2x 5% CO2 Scans

2minair

3minCO2

2minair

M

%∆CMRO2

Page 40: Declaration of Conflict of Interest or Relationship Speaker Name: Thomas Liu I have no conflicts of interest to disclose with regard to the subject matter

Calibrated fMRIAnces et al, NIMG 2007

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Page 41: Declaration of Conflict of Interest or Relationship Speaker Name: Thomas Liu I have no conflicts of interest to disclose with regard to the subject matter

Calibrated fMRI of HIV

Ances et al, in preparation

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Page 42: Declaration of Conflict of Interest or Relationship Speaker Name: Thomas Liu I have no conflicts of interest to disclose with regard to the subject matter

Effect of age on CBF and BOLD

Restom et al, NIMG 2007

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Young Old

%ΔC

MR

O2

Young OldNorm

aliz

ed

CM

RO

2

Page 43: Declaration of Conflict of Interest or Relationship Speaker Name: Thomas Liu I have no conflicts of interest to disclose with regard to the subject matter

Calibrated fMRI

• Can provide insights that BOLD measures alone cannot provide.

• Can be difficult to apply to cognitive tasks and special populations, due to low sensitivity of ASL.

• The need for breathhold or hypercapnia can also be an issue. Hyperoxia-based method may be an alternative.

Page 44: Declaration of Conflict of Interest or Relationship Speaker Name: Thomas Liu I have no conflicts of interest to disclose with regard to the subject matter

Conclusions

• The BOLD signal is a complex function of the baseline state and changes in blood flow, volume, and metabolism.

• Differences in the BOLD signal do NOT always reflect differences in neural activity.

• Instead they may reflect differences in the baseline vascular or metabolic state.

• Normalization methods can help to reduce inter-subject variability.

• Calibrated fMRI can provide additional insights into differences in brain activity, especially in the presence of disease, medication, and age.

Page 45: Declaration of Conflict of Interest or Relationship Speaker Name: Thomas Liu I have no conflicts of interest to disclose with regard to the subject matter

Acknowledgements

Beau AncesYashar BehzadiRick BuxtonDavid DubowitzJoy LiauOleg LeontievJoanna PerthenKhaled RestomEric Wong

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