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Non-parametric deconvolution using Bézier curves for quantification of cerebral perfusion in dynamic susceptibility contrast MRI

Chakwizira, Arthur LU ; Ahlgren, André LU ; Knutsson, Linda LU orcid and Wirestam, Ronnie LU orcid (2022) In Magnetic Resonance Materials in Physics, Biology, and Medicine 35(5). p.791-804
Abstract
Objective Deconvolution is an ill-posed inverse problem that tends to yield non-physiological residue functions R(t) in
dynamic susceptibility contrast magnetic resonance imaging (DSC-MRI). In this study, the use of Bézier curves is proposed
for obtaining physiologically reasonable residue functions in perfusion MRI.
Materials and methods Cubic Bézier curves were employed, ensuring R(0)=1, bounded-input, bounded-output stability and
a non-negative monotonically decreasing solution, resulting in 5 parameters to be optimized. Bézier deconvolution (BzD),
implemented in a Bayesian framework, was tested by simulation under realistic conditions, including efects of arterial delay
and dispersion. BzD was also applied to... (More)
Objective Deconvolution is an ill-posed inverse problem that tends to yield non-physiological residue functions R(t) in
dynamic susceptibility contrast magnetic resonance imaging (DSC-MRI). In this study, the use of Bézier curves is proposed
for obtaining physiologically reasonable residue functions in perfusion MRI.
Materials and methods Cubic Bézier curves were employed, ensuring R(0)=1, bounded-input, bounded-output stability and
a non-negative monotonically decreasing solution, resulting in 5 parameters to be optimized. Bézier deconvolution (BzD),
implemented in a Bayesian framework, was tested by simulation under realistic conditions, including efects of arterial delay
and dispersion. BzD was also applied to DSC-MRI data from a healthy volunteer.
Results Bézier deconvolution showed robustness to diferent underlying residue function shapes. Accurate perfusion estimates were observed, except for boxcar residue functions at low signal-to-noise ratio. BzD involving corrections for delay,
dispersion, and delay with dispersion generally returned accurate results, except for some degree of cerebral blood fow
(CBF) overestimation at low levels of each efect. Maps of mean transit time and delay were markedly diferent between
BzD and block-circulant singular value decomposition (oSVD) deconvolution.
Discussion A novel DSC-MRI deconvolution method based on Bézier curves was implemented and evaluated. BzD produced physiologically plausible impulse response, without spurious oscillations, with generally less CBF underestimation
than oSVD.
(Less)
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author
; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Magnetic Resonance Materials in Physics, Biology, and Medicine
volume
35
issue
5
pages
14 pages
publisher
Springer
external identifiers
  • scopus:85123116842
  • pmid:35025071
ISSN
1352-8661
DOI
10.1007/s10334-021-00995-0
language
English
LU publication?
yes
id
3b36a9ac-9c03-48fe-887d-562fceaed645
alternative location
https://link.springer.com/10.1007/s10334-021-00995-0
date added to LUP
2022-01-13 18:40:24
date last changed
2023-05-24 14:09:47
@article{3b36a9ac-9c03-48fe-887d-562fceaed645,
  abstract     = {{Objective Deconvolution is an ill-posed inverse problem that tends to yield non-physiological residue functions R(t) in<br/>dynamic susceptibility contrast magnetic resonance imaging (DSC-MRI). In this study, the use of Bézier curves is proposed<br/>for obtaining physiologically reasonable residue functions in perfusion MRI.<br/>Materials and methods Cubic Bézier curves were employed, ensuring R(0)=1, bounded-input, bounded-output stability and<br/>a non-negative monotonically decreasing solution, resulting in 5 parameters to be optimized. Bézier deconvolution (BzD),<br/>implemented in a Bayesian framework, was tested by simulation under realistic conditions, including efects of arterial delay<br/>and dispersion. BzD was also applied to DSC-MRI data from a healthy volunteer.<br/>Results Bézier deconvolution showed robustness to diferent underlying residue function shapes. Accurate perfusion estimates were observed, except for boxcar residue functions at low signal-to-noise ratio. BzD involving corrections for delay,<br/>dispersion, and delay with dispersion generally returned accurate results, except for some degree of cerebral blood fow<br/>(CBF) overestimation at low levels of each efect. Maps of mean transit time and delay were markedly diferent between<br/>BzD and block-circulant singular value decomposition (oSVD) deconvolution.<br/>Discussion A novel DSC-MRI deconvolution method based on Bézier curves was implemented and evaluated. BzD produced physiologically plausible impulse response, without spurious oscillations, with generally less CBF underestimation<br/>than oSVD.<br/>}},
  author       = {{Chakwizira, Arthur and Ahlgren, André and Knutsson, Linda and Wirestam, Ronnie}},
  issn         = {{1352-8661}},
  language     = {{eng}},
  number       = {{5}},
  pages        = {{791--804}},
  publisher    = {{Springer}},
  series       = {{Magnetic Resonance Materials in Physics, Biology, and Medicine}},
  title        = {{Non-parametric deconvolution using Bézier curves for quantification of cerebral perfusion in dynamic susceptibility contrast MRI}},
  url          = {{http://dx.doi.org/10.1007/s10334-021-00995-0}},
  doi          = {{10.1007/s10334-021-00995-0}},
  volume       = {{35}},
  year         = {{2022}},
}