Model-based Bayesian inference of brain oxygenation using quantitative BOLD

Streamlined Quantitative BOLD (sqBOLD) is an MR technique that can non-invasively measure physiological parameters including Oxygen Extraction Fraction (OEF) and deoxygenated blood volume (DBV) in the brain. Current sqBOLD methodology rely on fitting a linear model to log-transformed data acquired using an Asymmetric Spin Echo (ASE) pulse sequence. In this paper, a non-linear model implemented in a Bayesian framework was used to fit physiological parameters to ASE data. This model makes use of the full range of available ASE data, and incorporates the signal contribution from venous blood, which was ignored in previous analyses. Simulated data are used to demonstrate the intrinsic difficulty in estimating OEF and DBV simultaneously, and the benefits of the proposed non-linear model are shown. In vivo data are used to show that this model improves parameter estimation when compared with literature values. The model and analysis framework can be extended in a number of ways, and can incorporate prior information from external sources, so it has the potential to further improve OEF estimation using sqBOLD.

[1]  R B Buxton,et al.  Susceptibility induced MR line broadening: applications to brain iron mapping. , 1988, Journal of computer assisted tomography.

[2]  Dmitriy A Yablonskiy,et al.  Blood oxygenation level‐dependent (BOLD)‐based techniques for the quantification of brain hemodynamic and metabolic properties – theoretical models and experimental approaches , 2013, NMR in biomedicine.

[3]  Felix W. Wehrli,et al.  Interleaved quantitative BOLD: Combining extravascular R2ʹ - and intravascular R2-measurements for estimation of deoxygenated blood volume and hemoglobin oxygen saturation , 2018, NeuroImage.

[4]  Michael Brady,et al.  Improved Optimization for the Robust and Accurate Linear Registration and Motion Correction of Brain Images , 2002, NeuroImage.

[5]  P E Roland,et al.  Does mental activity change the oxidative metabolism of the brain? , 1987, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[6]  D. Yablonskiy,et al.  Quantitation of intrinsic magnetic susceptibility‐related effects in a tissue matrix. Phantom study , 1998, Magnetic resonance in medicine.

[7]  Weili Lin,et al.  Impact of intravascular signal on quantitative measures of cerebral oxygen extraction and blood volume under normo‐ and hypercapnic conditions using an asymmetric spin echo approach , 2003, Magnetic resonance in medicine.

[8]  P Jezzard,et al.  Partial volume correction of multiple inversion time arterial spin labeling MRI data , 2011, Magnetic resonance in medicine.

[9]  Thomas W Okell,et al.  Prospects for investigating brain oxygenation in acute stroke: Experience with a non‐contrast quantitative BOLD based approach , 2019, Human brain mapping.

[10]  C. Peota Novel approach. , 2011, Minnesota medicine.

[11]  A. Sukstanskii,et al.  Theory of FID NMR signal dephasing induced by mesoscopic magnetic field inhomogeneities in biological systems. , 2001, Journal of magnetic resonance.

[12]  D. Yablonskiy,et al.  Water proton MR properties of human blood at 1.5 Tesla: Magnetic susceptibility, T1, T2, T  *2 , and non‐Lorentzian signal behavior , 2001, Magnetic resonance in medicine.

[13]  M. E. Moseley,et al.  MR vascular fingerprinting: A new approach to compute cerebral blood volume, mean vessel radius, and oxygenation maps in the human brain , 2014, NeuroImage.

[14]  Sebastian Weingärtner,et al.  Oxygen extraction fraction mapping at 3 Tesla using an artificial neural network: A feasibility study , 2018, Magnetic resonance in medicine.

[15]  Z. Liu,et al.  Cortical Cerebral Blood Flow, Oxygen Extraction Fraction, and Metabolic Rate in Patients with Middle Cerebral Artery Stenosis or Acute Stroke , 2016, American Journal of Neuroradiology.

[16]  W J Powers,et al.  Comparison of PET oxygen extraction fraction methods for the prediction of stroke risk. , 2001, Journal of nuclear medicine : official publication, Society of Nuclear Medicine.

[17]  Zachary B. Rodgers,et al.  MRI-based methods for quantification of the cerebral metabolic rate of oxygen , 2016, Journal of cerebral blood flow and metabolism : official journal of the International Society of Cerebral Blood Flow and Metabolism.

[18]  Hanzhang Lu,et al.  Quantitative evaluation of oxygenation in venous vessels using T2‐Relaxation‐Under‐Spin‐Tagging MRI , 2008, Magnetic resonance in medicine.

[19]  S. Posse,et al.  Analytical model of susceptibility‐induced MR signal dephasing: Effect of diffusion in a microvascular network , 1999, Magnetic resonance in medicine.

[20]  Stephen M. Smith,et al.  Segmentation of brain MR images through a hidden Markov random field model and the expectation-maximization algorithm , 2001, IEEE Transactions on Medical Imaging.

[21]  Nicholas P. Blockley,et al.  A streamlined acquisition for mapping baseline brain oxygenation using quantitative BOLD , 2017, NeuroImage.

[22]  D. Yablonskiy,et al.  Quantitative BOLD: Mapping of human cerebral deoxygenated blood volume and oxygen extraction fraction: Default state , 2007, Magnetic resonance in medicine.

[23]  G Bruce Pike,et al.  Transverse signal decay under the weak field approximation: Theory and validation , 2018, Magnetic resonance in medicine.

[24]  Robin Fåhræus,et al.  THE VISCOSITY OF THE BLOOD IN NARROW CAPILLARY TUBES , 1931 .

[25]  Nicholas P. Blockley,et al.  Improving the specificity of R2′ to the deoxyhaemoglobin content of brain tissue: Prospective correction of macroscopic magnetic field gradients , 2016, NeuroImage.

[26]  Stephen M Smith,et al.  Fast robust automated brain extraction , 2002, Human brain mapping.

[27]  Thomas Christen,et al.  Comparison of R2′ measurement methods in the normal brain at 3 tesla , 2015, Magnetic resonance in medicine.

[28]  Johannes C. Klein,et al.  Oxygenation-Sensitive Magnetic Resonance Imaging in Acute Ischemic Stroke Using T2′/R2′ Mapping: Influence of Relative Cerebral Blood Volume , 2017, Stroke.

[29]  Richard B. Buxton,et al.  An analysis of the use of hyperoxia for measuring venous cerebral blood volume: Comparison of the existing method with a new analysis approach , 2013, NeuroImage.

[30]  Fernando Calamante,et al.  A novel approach to measure local cerebral haematocrit using MRI , 2016, Journal of cerebral blood flow and metabolism : official journal of the International Society of Cerebral Blood Flow and Metabolism.

[31]  Wen-Ming Luh,et al.  Gas-free calibrated fMRI with a correction for vessel-size sensitivity , 2018, NeuroImage.

[32]  Mark W. Woolrich,et al.  Variational bayes inference of spatial mixture models for segmentation , 2006, IEEE Transactions on Medical Imaging.

[33]  Guy B. Williams,et al.  Quantitative BOLD: The effect of diffusion , 2010, Journal of magnetic resonance imaging : JMRI.

[34]  M Takahashi,et al.  Use of fluid-attenuated inversion recovery (FLAIR) pulse sequences in perinatal hypoxic-ischaemic encephalopathy. , 1998, The British journal of radiology.

[35]  E. Haacke,et al.  Theory of NMR signal behavior in magnetically inhomogeneous tissues: The static dephasing regime , 1994, Magnetic resonance in medicine.

[36]  Mark W. Woolrich,et al.  Combined spatial and non-spatial prior for inference on MRI time-series , 2009, NeuroImage.

[37]  Nicholas P. Blockley,et al.  Data acquired to demonstrate a streamlined approach to mapping and quantifying brain oxygenation using quantitative BOLD , 2016 .

[38]  Mark W. Woolrich,et al.  Variational Bayesian Inference for a Nonlinear Forward Model , 2020, IEEE Transactions on Signal Processing.

[39]  K. Hossmann Viability thresholds and the penumbra of focal ischemia , 1994, Annals of neurology.

[40]  Stephen M. Smith,et al.  Improved Optimization for the Robust and Accurate Linear Registration and Motion Correction of Brain Images , 2002, NeuroImage.

[41]  Jenny Caesar,et al.  Segmentation of the Brain from MR Images , 2005 .

[42]  David J. Dubowitz,et al.  A novel Bayesian approach to accounting for uncertainty in fMRI-derived estimates of cerebral oxygen metabolism fluctuations , 2016, NeuroImage.

[43]  Hagai Attias,et al.  A Variational Bayesian Framework for Graphical Models , 1999 .

[44]  T. Mosher,et al.  Removal of local field gradient artifacts in T2*‐weighted images at high fields by gradient‐echo slice excitation profile imaging , 1998, Magnetic resonance in medicine.

[45]  G Marchal,et al.  Regional cerebral oxygen consumption, blood flow, and blood volume in healthy human aging. , 1992, Archives of neurology.

[46]  Joseph V. Hajnal,et al.  Use of Fluid Attenuated Inversion Recovery (FLAIR) Pulse Sequences in MRI of the Brain , 1992, Journal of computer assisted tomography.