Hypersampling of Pseudo-periodic Signals by Analytic Phase Projection

Overview

Journal Comput Biol Med

Publisher Elsevier

Specialties Biology
General Medicine
Medical Informatics

Date 2018 May 26

PMID 29800881

Citations 4

Authors

Henning U Voss

Affiliations

Soon will be listed here.

Abstract

A method to upsample insufficiently sampled experimental time series of pseudo-periodic signals is proposed. The result is an estimate of the pseudo-periodic cycle underlying the signal. This "hypersampling" requires a sufficiently sampled reference signal that defines the pseudo-periodic dynamics. The time series and reference signal are combined by projecting the time series values to the analytic phase of the reference signal. The resulting estimate of the pseudo-periodic cycle has a considerably higher effective sampling rate than the time series. The procedure is applied to time series of MRI images of the human brain. As a result, the effective sampling rate could be increased by three orders of magnitude. This allows for capturing the waveforms of the very fast cerebral pulse waves traversing the brain. Hypersampling is numerically compared to the more commonly used retrospective gating. An outlook regarding EEG and optical recordings of brain activity as the reference signal is provided.

Citing Articles

Robust data-driven segmentation of pulsatile cerebral vessels using functional magnetic resonance imaging.

Wright A, Xu T, Ingram J, Koo J, Zhao Y, Tong Y Interface Focus. 2024; 14(6):20240024.

PMID: 39649451 PMC: 11620823. DOI: 10.1098/rsfs.2024.0024.

Pulsatility analysis of the circle of Willis.

Voss H, Razlighi Q Aging Brain. 2024; 5:100111.

PMID: 38495808 PMC: 10940807. DOI: 10.1016/j.nbas.2024.100111.

WHOCARES: WHOle-brain CArdiac signal REgression from highly accelerated simultaneous multi-Slice fMRI acquisitions.

Colenbier N, Marino M, Arcara G, Frederick B, Pellegrino G, Marinazzo D J Neural Eng. 2022; 19(5).

PMID: 35998568 PMC: 9673276. DOI: 10.1088/1741-2552/ac8bff.

Extraction of the cardiac waveform from simultaneous multislice fMRI data using slice sorted averaging and a deep learning reconstruction filter.

Aslan S, Hocke L, Schwarz N, Frederick B Neuroimage. 2019; 198:303-316.

PMID: 31129302 PMC: 6592732. DOI: 10.1016/j.neuroimage.2019.05.049.

References

Henskens L, Kroon A, van Oostenbrugge R, Gronenschild E, Fuss-Lejeune M, Hofman P . Increased aortic pulse wave velocity is associated with silent cerebral small-vessel disease in hypertensive patients. Hypertension. 2008; 52(6):1120-6. DOI: 10.1161/HYPERTENSIONAHA.108.119024. View

Neuner I, Arrubla J, Felder J, Jon Shah N . Simultaneous EEG-fMRI acquisition at low, high and ultra-high magnetic fields up to 9.4 T: perspectives and challenges. Neuroimage. 2013; 102 Pt 1:71-9. DOI: 10.1016/j.neuroimage.2013.06.048. View

Wagshul M, Eide P, Madsen J . The pulsating brain: A review of experimental and clinical studies of intracranial pulsatility. Fluids Barriers CNS. 2011; 8(1):5. PMC: 3042979. DOI: 10.1186/2045-8118-8-5. View

Lewis L, Setsompop K, Rosen B, Polimeni J . Fast fMRI can detect oscillatory neural activity in humans. Proc Natl Acad Sci U S A. 2016; 113(43):E6679-E6685. PMC: 5087037. DOI: 10.1073/pnas.1608117113. View

Bateman G . Pulse-wave encephalopathy: a comparative study of the hydrodynamics of leukoaraiosis and normal-pressure hydrocephalus. Neuroradiology. 2002; 44(9):740-8. DOI: 10.1007/s00234-002-0812-0. View

Hu X, Le T, Parrish T, Erhard P . Retrospective estimation and correction of physiological fluctuation in functional MRI. Magn Reson Med. 1995; 34(2):201-12. DOI: 10.1002/mrm.1910340211. View

Dagli M, Ingeholm J, Haxby J . Localization of cardiac-induced signal change in fMRI. Neuroimage. 1999; 9(4):407-15. DOI: 10.1006/nimg.1998.0424. View

ORourke M, Pauca A, Jiang X . Pulse wave analysis. Br J Clin Pharmacol. 2001; 51(6):507-22. PMC: 2014492. DOI: 10.1046/j.0306-5251.2001.01400.x. View

Ouzounov D, Wang T, Wang M, Feng D, Horton N, Cruz-Hernandez J . In vivo three-photon imaging of activity of GCaMP6-labeled neurons deep in intact mouse brain. Nat Methods. 2017; 14(4):388-390. PMC: 6441362. DOI: 10.1038/nmeth.4183. View

10.

Moeller S, Yacoub E, Olman C, Auerbach E, Strupp J, Harel N . Multiband multislice GE-EPI at 7 tesla, with 16-fold acceleration using partial parallel imaging with application to high spatial and temporal whole-brain fMRI. Magn Reson Med. 2010; 63(5):1144-53. PMC: 2906244. DOI: 10.1002/mrm.22361. View

11.

Schreiber S, Franke U, Doepp F, Staccioli E, Uludag K, Valdueza J . Dopplersonographic measurement of global cerebral circulation time using echo contrast-enhanced ultrasound in normal individuals and patients with arteriovenous malformations. Ultrasound Med Biol. 2002; 28(4):453-8. DOI: 10.1016/s0301-5629(02)00477-5. View

12.

Bianciardi M, Toschi N, Polimeni J, Evans K, Bhat H, Keil B . The pulsatility volume index: an indicator of cerebrovascular compliance based on fast magnetic resonance imaging of cardiac and respiratory pulsatility. Philos Trans A Math Phys Eng Sci. 2016; 374(2067). PMC: 4822444. DOI: 10.1098/rsta.2015.0184. View

13.

Rabkin S . Arterial stiffness: detection and consequences in cognitive impairment and dementia of the elderly. J Alzheimers Dis. 2012; 32(3):541-9. DOI: 10.3233/JAD-2012-120757. View

14.

Yao J, Tridandapani S, Wick C, Bhatti P . Seismocardiography-Based Cardiac Computed Tomography Gating Using Patient-Specific Template Identification and Detection. IEEE J Transl Eng Health Med. 2017; 5:1900314. PMC: 5568038. DOI: 10.1109/JTEHM.2017.2708100. View

15.

Yan L, Liu C, Smith R, Jog M, Langham M, Krasileva K . Assessing intracranial vascular compliance using dynamic arterial spin labeling. Neuroimage. 2015; 124(Pt A):433-441. PMC: 4651759. DOI: 10.1016/j.neuroimage.2015.09.008. View

16.

Tong Y, Hocke L, Frederick B . Short repetition time multiband echo-planar imaging with simultaneous pulse recording allows dynamic imaging of the cardiac pulsation signal. Magn Reson Med. 2013; 72(5):1268-76. PMC: 4198428. DOI: 10.1002/mrm.25041. View

17.

Wentland A, Grist T, Wieben O . Review of MRI-based measurements of pulse wave velocity: a biomarker of arterial stiffness. Cardiovasc Diagn Ther. 2014; 4(2):193-206. PMC: 3996237. DOI: 10.3978/j.issn.2223-3652.2014.03.04. View

18.

Rabbani H, Mahjoob M, Farahabadi E, Farahabadi A . R peak detection in electrocardiogram signal based on an optimal combination of wavelet transform, hilbert transform, and adaptive thresholding. J Med Signals Sens. 2012; 1(2):91-8. PMC: 3342622. View

19.

Voss H, Dyke J, Tabelow K, Schiff N, Ballon D . Magnetic resonance advection imaging of cerebrovascular pulse dynamics. J Cereb Blood Flow Metab. 2016; 37(4):1223-1235. PMC: 5453446. DOI: 10.1177/0271678X16651449. View

20.

Simek J, Wichterle D, Melenovsky V, Malik J, Svacina S, Widimsky J . Second derivative of the finger arterial pressure waveform: an insight into dynamics of the peripheral arterial pressure pulse. Physiol Res. 2005; 54(5):505-13. View