Augmenting intraoperative MRI with preoperative fMRI and DTI by biomechanical simulation of brain deformation

Warfield, Simon K.; Talos, Florin; Kemper, Corey; Cosman, E.R.; Tei, Alida; Ferrant, Matthieu; Macq, Benoı̂t; Wells, William M.; Black, Peter McLaren; Jólesz, Ferenc A.; Kikinis, Ron

doi:10.1117/12.480364

Cited by 3 publications

(7 citation statements)

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“…Motivated by these concerns, a new accurate and unifying Fourier‐based theory of DW‐MRI has been developed by returning to the first principles of DW‐MR signal formation in (Özcan,2010c; Özcan,2011; Özcan et al,2011). The DW‐MRI signal is modeled by expressing the evolution of the phase (Ω i ) of the i th spin's transverse magnetization, …”

Section: A Higher Dimensional Fourier Relationshipmentioning

confidence: 99%

“…The magnetization changes according to the displacement w i from the initial position x i ( t 0 ): because of the diffusion sensitizing magnetic field gradients (see Section I). When the signal formation is derived for the PGSE experiment (Özcan,2010c) using Eq. (32) and (33), the initial position x i ( t 0 ) and the i th spin's displacement integral, $ W_i^{\rm d} $ , (see Fig.…”

Section: A Higher Dimensional Fourier Relationshipmentioning

confidence: 99%

“…1 for the definition of t d i ) appear in the formulations. Furthermore, the derivations in (Özcan,2010c) show that the complex valued DW‐MRI signal that comes out of the MR scanner is the Fourier transform of the joint distribution of the number of spins starting from the initial position x and possessing W d displacement integrals: P cfd ( x , W d ): …”

Section: A Higher Dimensional Fourier Relationshipmentioning

confidence: 99%

“…It is very important to note that Eq. (33) is the final product of intermediate steps that guarantee the preservation of S cfd 's Hermitian symmetry (Özcan,2010c). This property is the only physical evidence at hand because the only known fact is that P cfd is a real valued function being the count of (large but) finite number of spins.…”

Section: A Higher Dimensional Fourier Relationshipmentioning

confidence: 99%

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Background and mathematical analysis of diffusion MRI methods

Özcan

Wong

Larson‐Prior

et al. 2012

Int J Imaging Syst Tech

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The addition of a pair of magnetic field gradient pulses had initially provided the measurement of spin motion with nuclear magnetic resonance (NMR) techniques. In the adaptation of DW-NMR techniques to magnetic resonance imaging (MRI), the taxonomy of mathematical models is divided in two categories: model matching and spectral methods. In this review, the methods are summarized starting from early diffusion weighted (DW) NMR models followed up with their adaptation to DW MRI. Finally, a newly introduced Fourier analysis based unifying theory, so-called Complete Fourier Direct MRI, is included to explain the mechanisms of existing methods.

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Section: A Higher Dimensional Fourier Relationshipmentioning

confidence: 99%

Section: A Higher Dimensional Fourier Relationshipmentioning

confidence: 99%

Section: A Higher Dimensional Fourier Relationshipmentioning

confidence: 99%

Section: A Higher Dimensional Fourier Relationshipmentioning

confidence: 99%

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Background and mathematical analysis of diffusion MRI methods

Özcan

Wong

Larson‐Prior

et al. 2012

Int J Imaging Syst Tech

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“…The FEM-software tool Metafor (http://metafor.ltas.ulg.ac.be) developed in our mechanical-engineering department is used, which we have added a XFEM module to. The initial stress state of the brain is unknown and is thus set to zero [11, 43]. The resulting volume displacement field of the biomechanical model is shown in Fig.…”

Section: Description Of Baseline Systemmentioning

confidence: 99%

3D XFEM-based modeling of retraction for preoperative image update

Vigneron

Warfield

Robe³

et al. 2011

Computer Aided Surgery

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The problematic of improving outcomes for neurosurgery patients by enhancing intraoperative navigation and guidance is considered. Current navigation systems do not accurately account for intraoperative brain deformation. So far, most studies of brain deformation have focused on brain shifts while this paper focuses on the brain deformation due to retraction. The heart of our system is a 3D nonrigid registration technique using a biomechanical model driven by the deformations of key surfaces tracked between two intraoperative images. The key surfaces, e.g the whole-brain region boundary and the lips of the retraction cut, thus deform due to the combination of gravity and retractor deployment. The tissue discontinuity due to retraction is handled via the eXtented Finite Element Method (XFEM), which has the appealing feature of being able to handle arbitrarily-shaped discontinuity without any remeshing. Our approach is shown to significantly improve alignment of intraoperative MRI.

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Serial FEM/XFEM-Based Update of Preoperative Brain Images Using Intraoperative MRI

Vigneron

Noels

Warfield

et al. 2012

International Journal of Biomedical Imaging

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Current neuronavigation systems cannot adapt to changing intraoperative conditions over time. To overcome this limitation, we present an experimental end-to-end system capable of updating 3D preoperative images in the presence of brain shift and successive resections. The heart of our system is a nonrigid registration technique using a biomechanical model, driven by the deformations of key surfaces tracked in successive intraoperative images. The biomechanical model is deformed using FEM or XFEM, depending on the type of deformation under consideration, namely, brain shift or resection. We describe the operation of our system on two patient cases, each comprising five intraoperative MR images, and we demonstrate that our approach significantly improves the alignment of nonrigidly registered images.

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Augmenting intraoperative MRI with preoperative fMRI and DTI by biomechanical simulation of brain deformation

Cited by 3 publications

References 0 publications

Background and mathematical analysis of diffusion MRI methods

Background and mathematical analysis of diffusion MRI methods

3D XFEM-based modeling of retraction for preoperative image update

Serial FEM/XFEM-Based Update of Preoperative Brain Images Using Intraoperative MRI

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