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Analysis of the left hippocampus in left TLE. (a) Four hippocampi (superior and inferior views) of TLE patients aligned to a template built from 33 control subjects. The template is shown in transparent red. The patients’ hippocampi are in solid blue (purple shows areas of overlap with the template). (b) Signed surface-normal component maps of the displacement vectors (SNV; color scale in mm, -/+ signs indicate inward/outward deformation). Paired black arrows indicate the region where a local shifting/bending is detected. These changes at the level of the hippocampal tail are clearly visible in (a). (c) Surface-based Jacobian determinant maps (SJD; color scale in mm 3 , -/+ signs indicate volume loss/growth). 

Analysis of the left hippocampus in left TLE. (a) Four hippocampi (superior and inferior views) of TLE patients aligned to a template built from 33 control subjects. The template is shown in transparent red. The patients’ hippocampi are in solid blue (purple shows areas of overlap with the template). (b) Signed surface-normal component maps of the displacement vectors (SNV; color scale in mm, -/+ signs indicate inward/outward deformation). Paired black arrows indicate the region where a local shifting/bending is detected. These changes at the level of the hippocampal tail are clearly visible in (a). (c) Surface-based Jacobian determinant maps (SJD; color scale in mm 3 , -/+ signs indicate volume loss/growth). 

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Analysis of surface-based displacement vectors using spherical harmonic description (SPHARM) localizes shape changes accurately. However, it does not allow differentiating volume variations from shifting and/or bending. We propose a new approach to quantify local volume changes by computing the surface-based Jacobian determinant. This measurement i...

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... differences were assessed by vertex-wise t-tests with correction for multiple comparisons using FDR. In patients, SNV detected areas of inward deformations at the level of hippocampal head and body ipsilateral to the seizure focus, and areas of mirrored inward/outward deformations in the tail due to local shifting (Figure 4-a). There were also areas of subtle focal inward deformation at the level of the contralateral hippocampal body. ...
Context 2
... extent of ipsi-and contralateral atrophy in the SJD maps was more widespread than in SNV. Representative examples are shown in four patients in Figure 4. ...

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... As labels were created in a stereotaxic space, correction for intracranial volume was not required. A previously validated surface-based approach (Kim et al. 2008) was used to measure local volume changes by computing Jacobian determinants on surface-based displacement vectors between a given subject and a template surface (Styner et al. 2006). Caudate labels were converted to surface meshes using a spherical parameterization (SPHARM) based on area-preserving, distortionminimizing mapping. ...
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... 13 The individual surface is then registered to either a group surface or a template, followed by computation of some type of displacement measure at each vertex in relation to the group surface or template. 14,15 Yet this displacement measure often not only captures local shape changes but also includes confounds such as changes in position (mirroring) between the individual surface and the template, although some investigators have minimized this by using nonlinear methods. 15,16 A method invariant to position changes and registration artifacts would thus be attractive. ...
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... 37 Furthermore, it computes surface-based, point-wise jacobian determinants that represent local volume changes of a given hippocampus relative to the mean shape of all healthy hippocampi. 38 Compared to conventional surface shape analyses, 23,33 our technique, derived from other approaches, 37,39 allows the measurement of actual changes in volume independent of positional changes. 38,40 ...
... 38 Compared to conventional surface shape analyses, 23,33 our technique, derived from other approaches, 37,39 allows the measurement of actual changes in volume independent of positional changes. 38,40 ...
... To assess local volume changes, we fi nally calculated jacobian determinants from these vector fi elds. 38 By projecting these jacobian determinants back onto the surface using trilinear interpolation and subtracting one from them, we obtained a metric of growth (J > 0) or shrinkage (J < 0) in a unit-size cube defi ned on each vertex ( Figure 2F). We have previously shown that volume change at a vertex is driven by the structure underneath the surface. ...
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... To localize disease progression at a subregional level, we applied our previously developed and validated method based on spherical harmonic shape descriptors. 8 METHODS Subjects. We studied 134 patients referred to our hospital for the investigation of drug-resistant TLE. ...
... We have previously developed and validated a method to localize subregional structural changes. 8 In brief, mesiotemporal labels of the baseline scan were converted to surface meshes and parameterized using spherical harmonics with a point distribution model (SPHARM-PDM). 14 For each mesiotemporal structure, SPHARM-PDM surfaces of each individual were rigidly aligned to a template (constructed from the mean surface of controls and patients) with respect to the centroid and the longitudinal axis of the first-order ellipsoid. ...
... 14 To compute cross-sectional volume changes, we applied the heat equation to interpolate the vertex-wise displacement vectors within the volume enclosed by the SPHARM-PDM surface boundary. 8 The Jacobian determinant of the resulting vector field was projected back onto the surface. By subtracting 1 from the Jacobian determinant, we quantified growth (J . ...
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Evidence for disease progression in the mesiotemporal lobe is mainly derived from global volumetry of the hippocampus. In this study, we tracked progressive structural changes in the hippocampus, amygdala, and entorhinal cortex in drug-resistant temporal lobe epilepsy at a subregional level. Furthermore, we evaluated the relation between disease progression and surgical outcome. We combined cross-sectional modeling of disease duration in a large cohort of patients (n = 134) and longitudinal analysis in a subset that delayed surgery (n = 31). To track subregional pathology, we applied surface-shape analysis techniques on manual mesiotemporal labels. Longitudinal and cross-sectional designs showed consistent patterns of progressive atrophy in hippocampal CA1, anterolateral entorhinal, and the amygdalar laterobasal group bilaterally. These regions also exhibited more marked age-related volume loss in patients compared with controls. We found a faster progression of hippocampal atrophy in patients with a seizure frequency ≥6 per month. High rates of contralateral entorhinal cortex atrophy predicted postsurgical seizure relapse. We observed progressive atrophy in hippocampal, amygdalar, and entorhinal subregions that frequently display neuronal loss on histology. The bilateral character of cumulative atrophy highlights the importance of early surgery. In patients who nevertheless delay this procedure, serial scanning may provide markers of surgical outcome.
... Volumetric analysis demonstrated atrophy in multiple limbic structures, including the hippocampus, entorhinal cortex, amygdala (Cendes et al., 1993a,b;Bernasconi et al., 2001Bernasconi et al., , 2003a, temporopolar, perirhinal, lateral temporal neocortices (Jutila et al., 2001;Moran et al., 2001;Sankar et al., 2008), and the thalamus (Dreifuss et al., 2001;Natsume et al., 2003;Bernhardt et al., 2012). In the hippocampus and thalamus, surface shape mapping has furthermore allowed localizing structural anomalies at a subregional level (Hogan et al., 2004;Kim et al., 2008;Bernhardt et al., 2012, in press). In the thalamus, for example, we found volume loss located primarily in mediodorsal segments (Bernhardt et al., 2012). ...
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