Laura W.M. Vergoossen1,2, Jacobus F.A. Jansen1,2,3, Daan Huybrechs4, Miranda T. Schram2,5,6, Walter H. Backes1,2, and on behalf of The Maastricht Study5
1Radiology and Nuclear Medicine, Maastricht University Medical Center, Maastricht, Netherlands, 2Mental Health and Neuroscience, Maastricht University, Maastricht, Netherlands, 3Electrical Engineering, Eindhoven University of Technology, Eindhoven, Netherlands, 4Computer Science, KU Leuven, Leuven, Belgium, 5Internal Medicine, Maastricht University Medical Center, Maastricht, Netherlands, 6School for Cardiovascular Disease, Maastricht University, Maastricht, Netherlands
Synopsis
In
addition to spatial patterns, also temporal patterns can be identified in brain
signal as non-stationary components. Fourier-transform provides only
information about characteristic frequency components in dynamic brain signals
and assumes that these are of stationary nature. However, brain signals are
non-stationary and discrete wavelet transformation can be used to separate the
signal into both frequency subbands and time-scales. In The Maastricht Study
(n=1730), we found that wavelet analysis is a suitable
method to demonstrate that physiological measures are associated with specific
frequency subbands of the BOLD signal, and to separate the neurovascular signal
into subbands representing different physiological measures.
Introduction
The vast majority of functional MRI studies investigating brain activity
patterns consider the magnitude of the neuronal signal or correlations of
dynamic signals between various brain regions to determine the brain network
based on functional connectivity. In multiple studies, it has been demonstrated
that the resting-state frequency (10-100 mHz) components reflects the neurovascular
coupling signal as these components correlate with cognitive performance.
Recent studies have indicated that, in addition to spatial patterns
(i.e., functional activity as well as connectivity between brain regions); also
temporal patterns (i.e., patterns at specific time-scales) can be found in the
brain signal with non-stationary components1,2. Whereas Fourier-transform can reveal
various characteristic frequency components in dynamic brain signals, it
assumes periodically continuing components (i.e., stationary). Alternatively,
discrete wavelet transformation (DWT) can be used to separate signal
time-series into different frequency subbands with different time resolutions
and it can properly manage non-stationary components.
With this study, we aim to decompose the dynamic brain signal into
wavelet components and explore to which extend the various frequency subbands
(see Figure 1) correlate with obtained physiological measures in 1730
participants of the Maastricht study. Methods
Subjects: In a subsample of the population-based Maastricht Study (n=1730, 52%
men, aged 59±8 years), we performed 3T MRI (MAGNETOM Prisma fit, Siemens
Healthcare, Erlangen, Germany).
MRI:
3D T1-weighted magnetization prepared rapid acquisition gradient echo (MPRAGE)
sequence (TR/TI/TE 2300/900/2.98 ms, 176 slices, 256×240 matrix size, 1.00 mm
cubic voxel size). Resting-state functional MRI (rs-fMRI) data were acquired
using a T2*-weighted blood oxygen level-dependent (BOLD) sequence
(TR/TE 2000/29 ms, flip angle 90°, 32 slices, 104×104 matrix size, 2.00×2.00 mm
pixel size, 4.00 mm thick transverse slices, and 195 dynamic volumes).
Physiological
measures: Physiological measures for the physiological frequency subbands (as
depicted in Figure 1) are described in Table 1. Further details about the
measurements can be found in3.
Processing: Steps included
correction for field-inhomogeneities, slice-timing, and head motion.
Time-series were extracted for all gray matter voxels, standardized by
subtraction of the mean signal, and divided by the standard deviation.
For DWT, each time-series was decomposed into seven
wavelet subbands, with the Daubechies-4 wavelet chosen as the mother wavelet
function. To determine to which extend the signal is structured, the energy per
decomposition level was calculated with the following formula:
Energyj per decomposition level j: Ej=∑Sj(k)2, S=signal; k=time-point.
Statistics: Linear regression analysis was used to investigate
the association of energy per subband with physiological measures. In this
model, the energy per subband was used as the independent variable, and age,
sex, educational level, and the physiological measures from Table 1 were
included as dependent variables. Results
Figure 2 shows that the energy in the wavelet subbands
more or less exponentially decreases from lower to higher frequency subbands, which
is due to the low-pass nature of the slow and delayed hemodynamic response.
In general, we observed significant associations
between the energy of specific subbands with the expected physiological
measures (Table 2). More specifically, we found associations of myogenic and
respiratory measures with the energy of subband 2. SysBP and IPS with the
energy of subband 3, long-term blood glucose (HbA1c) with the energy of subband
5, and the endothelial component of skin microvascular flow motion with the
energy of subband 6. The HR is associated with the energy of subband 1, 4, and
5, which is likely due to aliasing of the cardiac signal into various lower
frequency subbands, because of its high frequency compared to the maximum
frequency of the fMRI signal (250 mHz). Long-term blood glucose (HbA1c) was also
associated with the energy of subband 1, and the myogenic activity measures
(DiaLF and SysBP) were both only significantly associated with one of the two
matching subband energies (2 and 3). Conclusion
These results suggest that physiological signals are
associated with specific frequency subbands of the BOLD signal, but that some
signals can also be detected in other subbands. The subband analysis showed
that subband 3 contains the most specific information about the neurovascular
signal in terms of cognitive function. To filter out cardiac and respiratory,
scans with a lower repetition time (and thus higher sampling frequency) should
be used. Interestingly, the low frequency subbands (<10mHz), which are
usually excluded from fMRI analysis, contain relevant information about endothelial
and metabolic activity. In future studies, these subbands can possibly be used
to study the temporal influences of hypertension or diabetes on the
neurovascular signal. In conclusion, wavelet analysis turned out to be a
suitable method to separate the neurovascular signal into subbands representing
different physiological measures. Acknowledgements
No acknowledgement found.References
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