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A fractional order-based mixture of central Wishart (FMoCW) model for reconstructing white matter fibers from diffusion MRI

Puri, Ashishi ; Shakya, Snehlata LU and Kumar, Sanjeev (2023) In Psychiatry Research - Neuroimaging 333.
Abstract

This paper introduces an algorithm for reconstructing the brain's white matter fibers (WMFs). In particular, a fractional order mixture of central Wishart (FMoCW) model is proposed to reconstruct the WMFs from diffusion MRI data. The pseudo super diffusive modality of anomalous diffusion is coupled with the mixture of central Wishart (MoCW) model to derive the proposed model. We have shown results on multiple synthetic simulations, including fibers orientations in 2 and 3 directions per voxel and experiments on real datasets of rat optic chiasm and a healthy human brain. In synthetic simulations, a varying Rician distributed noise levels, σ=0.01−0.09 is also considered. The proposed model can efficiently distinguish multiple fibers even... (More)

This paper introduces an algorithm for reconstructing the brain's white matter fibers (WMFs). In particular, a fractional order mixture of central Wishart (FMoCW) model is proposed to reconstruct the WMFs from diffusion MRI data. The pseudo super diffusive modality of anomalous diffusion is coupled with the mixture of central Wishart (MoCW) model to derive the proposed model. We have shown results on multiple synthetic simulations, including fibers orientations in 2 and 3 directions per voxel and experiments on real datasets of rat optic chiasm and a healthy human brain. In synthetic simulations, a varying Rician distributed noise levels, σ=0.01−0.09 is also considered. The proposed model can efficiently distinguish multiple fibers even when the angle of separation between fibers is very small. This model outperformed, giving the least angular error when compared to fractional mixture of Gaussian (MoG), MoCW and mixture of non-central Wishart (MoNCW) models.

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author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Bloch-Torrey equation, Central Wishart distribution, Crossing white matter fibers, Gaussian diffusion, Magnetic resonance imaging, Psuedo super diffusion
in
Psychiatry Research - Neuroimaging
volume
333
article number
111673
publisher
Elsevier
external identifiers
  • pmid:37354809
  • scopus:85163188456
ISSN
0925-4927
DOI
10.1016/j.pscychresns.2023.111673
language
English
LU publication?
yes
id
a0a60e8e-d1ea-4941-b91b-d65b0a1a4040
date added to LUP
2023-09-06 09:05:32
date last changed
2025-03-09 09:49:51
@article{a0a60e8e-d1ea-4941-b91b-d65b0a1a4040,
  abstract     = {{<p>This paper introduces an algorithm for reconstructing the brain's white matter fibers (WMFs). In particular, a fractional order mixture of central Wishart (FMoCW) model is proposed to reconstruct the WMFs from diffusion MRI data. The pseudo super diffusive modality of anomalous diffusion is coupled with the mixture of central Wishart (MoCW) model to derive the proposed model. We have shown results on multiple synthetic simulations, including fibers orientations in 2 and 3 directions per voxel and experiments on real datasets of rat optic chiasm and a healthy human brain. In synthetic simulations, a varying Rician distributed noise levels, σ=0.01−0.09 is also considered. The proposed model can efficiently distinguish multiple fibers even when the angle of separation between fibers is very small. This model outperformed, giving the least angular error when compared to fractional mixture of Gaussian (MoG), MoCW and mixture of non-central Wishart (MoNCW) models.</p>}},
  author       = {{Puri, Ashishi and Shakya, Snehlata and Kumar, Sanjeev}},
  issn         = {{0925-4927}},
  keywords     = {{Bloch-Torrey equation; Central Wishart distribution; Crossing white matter fibers; Gaussian diffusion; Magnetic resonance imaging; Psuedo super diffusion}},
  language     = {{eng}},
  publisher    = {{Elsevier}},
  series       = {{Psychiatry Research - Neuroimaging}},
  title        = {{A fractional order-based mixture of central Wishart (FMoCW) model for reconstructing white matter fibers from diffusion MRI}},
  url          = {{http://dx.doi.org/10.1016/j.pscychresns.2023.111673}},
  doi          = {{10.1016/j.pscychresns.2023.111673}},
  volume       = {{333}},
  year         = {{2023}},
}