Fornix Integrity and Hippocampal Volume in Male Schizophrenic Patients

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other brain regions. Abnormal connections between the hippocampus and other brain regions might therefore figure prominently in understanding the pathophysiology of schizophrenia. Few studies have evaluated the fornix in schizophrenia, however.
Of particular note, pyramidal cell axons from the subiculum and Ammon's horn enter the fimbria via the alveus and then enter the fornix. Separately, the left and right fornix, exiting the left and right hippocampi, form the crux of the fornix, which ascends below the splenium of the corpus callosum, and then merge to form the body of the fornix. Most axons are ipsilateral, but some cross in the body of the fornix. The fornix then separates again into left and right columns above the anterior commissure and descends just posterior to the anterior commissure (e.g., postcommissural fornix) but also sends branches (e.g., precommissural fornix) to other regions (i.e., nucleus accumbens).
Axons arising from Ammon's horn go to the septal regions and the subiculum. Axons arising from the subiculum terminate at the nucleus accumbens, medial prefrontal cortex, and septal regions (Carr and Sesack 1996;Jay et al 1992). These excitatory axons from the subiculum and dopaminergic axons from the ventral tegmental area often terminate in close proximity in the prefrontal cortex (Carr and Sesack 1996) and the nucleus accumbens (Totterdell et al 1989) and can modulate activities in both the prefrontal cortex (Floresco and Grace 2003;Gurden et al 1999) and the nucleus accumbens Yang and Mogenson 1986). Moreover, excitatory inputs from the hippocampus (subiculum) to the nucleus accumbens indirectly regulate activity of dopamine neurons .
The hippocampus, ventral tegmental area, prefrontal cortex, and nucleus accumbens, as well as the mediodorsal thalamus, form a crucial circuit for cognitive function. Projections from hippocampus to prefrontal cortex or nucleus accumbens via the fornix are involved in the modulation of sensorimotor processes (e.g., sensory gating: Bast and Feldon 2003;Pouzet et al 1999 and spatial learning and memory (Brasted et al 2003;Floresco et al 1999;Galani et al 2002;White et al 2003). Functional abnormalities in sensory gating are present in schizophrenia (Ludewig et al 2003;Perry et al 2002); thus the hippocampus-fornix-target zone pathway may be important for understanding schizophrenia.
Hippocampal volume reduction is a consistent finding in schizophrenia neuroimaging studies (McCarley et al 1999;Nelson et al 1998;Shenton et al 2001). Postmortem studies of schizophrenia have reported abnormalities in hippocampus in schizophrenia (Heckers and Konradi 2002), including reduced neuron size (Benes et al 1991) and abnormal cell orientation (Kuroki and Matsushita 1998). Such abnormalities in morphology and cell arrangement may reflect abnormal connectivity in the hippocampal formation, which may in turn result in abnormal hippocampal output and cognitive dysfunction.
In one of the few studies of the fornix in schizophrenia, Chance et al (1999) found significant increased fiber density in the postmortem left fornix in male subjects with schizophrenia, without significant differences in cross-sectional area or total fiber number and concluded that the fornix is not a primary site of neuroanatomic changes in schizophrenia. In magnetic resonance imaging (MRI) studies, Zahajszky et al (2001) found no differences in fornix volume between patients with chronic schizophrenia and normal control subjects but did report a significant correlation between fornix and hippocampus volumes only in the schizophrenic group. In contrast, Davies et al (2001) found a significantly larger cross-sectional area of the fornix in early-onset schizophrenia. Differences in subject characteristics (i.e., early-onset patients, chronic patients, or aged patients) and methods (i.e., conventional MR images are insensitive to subtle abnormalities in the white matter) may contribute to the different structural MRI findings.
Diffusion tensor imaging (DTI; Basser 1995) affords an opportunity to detect subtle abnormalities in directionally organized tissues such as white matter. More specifically, the axons in white matter are directionally organized along the axis of the bundle, resulting in high diffusion anisotropy, that is, restricted in directions not parallel with the bundle. Mean diffusivity (D m ) is a measure of the average diffusion. In white matter, D m depends on water content and restrictions of water molecule movement. Fractional anisotropy (FA, an index of anisotropy) in white matter depends on several factors, including axon density and coherence (Basser and Jones 2002;Beaulieu 2002). In younger brains, anisotropy increases and mean diffusivity decreases in white matter with increasing age (Neil et al 2002). In healthy older subjects, anisotropy reduces and mean diffusivity increases in white matter with increasing age (Sullivan and Pfefferbaum 2003). Pathological white matter axonal degeneration or demyelination show reduced anisotropy and increased mean diffusivity, as, for example, in multiple sclerosis (Filippi et al 2001), amyotrophic lateral sclerosis (Ellis et al 1999), and Alzheimer's disease (Rose et al 2000). These changes may reflect demyelination, axonal loss, or edema (Beaulieu 2002;Horsfield and Jones 2002). Generally, reduced FA in white matter suggests less coherence of fibers (e.g., crossing fibers) or less dense fibers. In contrast, increased D m may suggest immaturity or degeneration in this region. A few studies in schizophrenia report low anisotropy in prefrontal cortex (Buchsbaum et al 1998), in the splenium of the corpus callosum (Agartz et al 2001;Foong et al 2000), or in the whole white matter (Agartz et al 2001;Lim et al 1999;Minami et al 2003). Kubicki et al (2002) found a lack of normal asymmetry in anisotropy in the uncinate fasciculus and lower anisotropy and area of the cingulum bundle (Kubicki et al 2003) in patients with schizophrenia compared with control subjects. Voxel-based methods have reported abnormalities in several areas in patients with schizophrenia (Ardekani et al 2003;Burns et al 2003). There are, however, no DTI studies of the fornix in schizophrenia, most likely because the size of the fornix is near the limit of resolution for reliable measurement of current methods.
The pathology of the fornix in schizophrenia is thus not well understood. In this study, DTI was used to evaluate the fornix. Hippocampal volume was evaluated using high-resolution MR images. Associations between fornix DTI measures and hippocampal structural MRI measures were examined.

Methods and Materials Subjects
Twenty-four male patients with chronic schizophrenia, recruited from inpatient, day treatment, outpatient, and foster care programs at the Veteran's Administration Boston Healthcare System, Brockton, Massachusetts, and 31 male normal control subjects, recruited through newspaper advertisement, participated in the study. Subjects included 21 new subjects (8 patients, 13 control subjects) and 34 subjects (16 patients, 18 control subjects) common to our most recently published DTI study of cingulum bundle (Kubicki et al 2003). The research was approved by the local institutional review board. Following a complete description of the study, written informed consent was obtained.
The protocols for diagnosis and clinical evaluations have been previously described (Kubicki et al 2002(Kubicki et al , 2003Onitsuka et al 2003). All subjects met the following criteria: aged 18 to 55, IQ greater than 75, right handed (Oldfield 1971), no history of seizures or head trauma with loss of consciousness or a neurological disorder, and no alcohol or drug dependence in the past 5 years. Normal control subjects had no history of Axis I mental disorders in themselves or their first-degree relatives and no Axis II disorder as confirmed by the SCID-NP (Spitzer et al 1990b) and SCID II (Spitzer et al 1990c) by a trained interviewer (MF). The same trained interviewer (MF) diagnosed patients based on the DSM-IV, using the SCID (Spitzer et al 1990a) and a review of medical records. All patients were receiving antipsychotic medication when the MR scan was acquired. Five patients were taking typical antipsychotics, 17 patients were taking atypical antipsychotics, and two patients were taking both. All medication dosages were converted to chlorpromazine equivalents (Bezchlibnyk-Butler et al 1996;Stoll 2001).
Socioeconomic status (SES) of patients and control subjects and of their parents (PSES) were evaluated (Hollingshead 1965). Demographic data are shown in Table 1. As part of a comprehensive neuropsychological battery, all subjects were evaluated by the Wechsler Memory Scale-3rd ed. (WMS-III; Wechsler 1997), which includes immediate and delayed measures of verbal and visual memory. Clinical symptoms were measured by the Scale for the Assessment of Positive Symptoms (SAPS; Andreasen 1984) and the Scale for the Assessment of Negative Symptoms (SANS; Andreasen 1981).

MRI Acquisition and Processing
All subjects underwent line-scan diffusion tensor imaging (LSDI; Gudbjartssen et al 1996; Maier et al 1998) using a quadrature head coil on a 1.5-Tesla GE Echospeed system (General Electric Medical Systems, Milwaukee, Wisconsin), permitting maximum gradient amplitudes of 40 mT/m. Three T1-weighted (T1W) images were used as localizers (sagittal, axial oblique aligned to the anterior commissure-posterior commissure [AC-PC] line, and sagittal oblique aligned to the interhemispheric fissure). From the sagittal oblique T1W image, the doubleoblique LSDI sequence plane was tilted toward the axial plane and rotated about the z-axis resulting in an orientation perpendicular to the AC-PC line. For each line, six images with high (1000 sec/mm 2 ) diffusion-weighting along six noncollinear and noncoplanar directions were collected. For low (5 sec/mm 2 ) diffusion weighting, only two images were collected, because diffusion-related signal changes are minimal. The following scan parameters were used: field of view (FOV) 220 × 165 mm; scan matrix 128 × 96 (image matrix 256 × 192); slice thickness = 4 mm; interslice distance = 1 mm; receiver bandwidth ± 4 kHz; echo time = 64 msec; effective repetition time = 2592 msec; scan time = 60 sec/slice. The entire brain was acquired (31-35 coronal slices depending on brain size). Reconstructed diffusion-weighted images were transferred to a SUN workstation, where eigenvalues (λ 1 , λ 2 , λ 3 ), eigenvectors (Figure 1), fractional anisotropy (FA), and diffusivity (D m ) maps of the diffusion tensor were calculated. FA and D m were calculated using the following formulae (Papadakis et al 1999): Movement artifacts were detected and replaced with interpolated data from neighboring line segments. Motion-related artifact maps were also constructed. This measure was defined as the number of line segments missing in the raw LSDI data.
To evaluate hippocampal volume, two additional MRI protocols were executed. A coronal series of contiguous spoiled gradient/recall acquisition (SPGR) images (repetition time = 35 msec, echo time = 5 msec, 1 repetition, 45° nutation angle, 24-cm field of view, number of excitations = 1.0, matrix = 256 × 256 [192 phase encoding steps] × 124, voxel dimensions: . 9375 × .9375 × 1.5 mm) was used for measuring hippocampus. An axial series of contiguous double-echo (proton density and T2-weighted) images (repetition time = 3000 msec, echo time = 30 and 80 msec, 24-cm field of view, an interleaved acquisition with 3-mm slice thickness, Voxel dimensions: .9375 × .9375 × 3.0 mm) was used to measure total intracranial contents (ICC). Presaturation of a slab inferior to the head was performed for both acquisitions to reduce flow-related artifacts and to obtain low arterial signal intensity.

DTI Definitions of Fornix
The body of the fornix is visible as one structure on FA maps, with three to four slices between the anterior commissure and the crux of the fornix. The coronal slice most perpendicular to the fornix was used to evaluate the cross-sectional area of the fornix, reducing partial volume effects. To detect the fornix, a method similar to that of Kubicki et al (2002Kubicki et al ( , 2003 was used. A point centered within each fiber tract was selected on the FA coronal map. To extract the fornix from neighboring structures, segmentation was done by thresholding the out-of-plane principal diffusion component (Figure 2), calculated using the following formula. We used 1.35 × 10 -3 mm 2 /sec as the fixed threshold for all cases ( Figure 2).
We also used angular information of e 1 for each voxel to separate the fornix from other structures and to remove artifacts. We excluded voxels where the direction of eigenvector e 1 deviated more than 20 degrees from the neighboring voxels. We also generated two angular maps for e 1 to select the most perpendicular slice of the fornix to the double-oblique coronal plane for each case. Two angular values were calculated at each voxel, that is, an angular deviation e 1 from the sagittal plane, which indicated deviation of x (i.e., in-plane horizontal axis We selected the slice with the lowest value of mean magnitude of two angles, averaged in the delineated fornix over each slice (Figure 2). Cross-sectional area of the fornix was calculated for this slice.
To calculate the mean FA and D m , we used three slices, including the slice just anterior to the selected slice, the selected slice, and the slice just posterior to the selected slice. To avoid potential effects of low FA values in the surrounding area due to partial volume effects, we selected 16 voxels with the highest FA values in delineated fornix, usually located at the center of the fornix for each slice. The mean FA and D m of these 48 voxels were calculated.

Definition of Hippocampus on Structural MRI Scans Using Anatomic Landmarks
The hippocampus was manually delineated blind to diagnosis and included Ammon's horn, dentate gyrus, and subiculum. Using criteria similar to Pantel et al (2000), the head of the hippocampus was separated from the amygdala in the sagittal plane. The fimbria and alveus, white matter in the hippocampus visible on SPGR images, were used to separate the hippocampus from the amygdala rostrally and choroid plexus caudally. The posterior border of the hippocampus was defined as the last slice showing the fornix along the crux of the hippocampus. All editing was confirmed on sagittal, axial, and coronal planes. Interrater reliability for the hippocampus was evaluated by three independent raters (NK, JL, SW) on 10 randomly selected cases. Intraclass correlation coefficients were .95 for the left hippocampus and .93 for the right hippocampus.

Statistical Analysis
Mann-Whitney's U tests were performed to assess group differences in age, SES, parental SES, IQ, handedness, and between the groups of subjects taking typical and atypical antipsychotics with medication dosage converted to chlorpromazine equivalents. Fisher's Exact Tests were performed to assess group difference in a past history of alcohol abuse or other substance abuse.
The Shapiro-Wilk test of normality demonstrated normal distributions (p > .10) for all MR measures, including FA values, mean D m values, cross-sectional area of the fornix, and hippocampal volumes. Student's t tests were performed to assess group differences in the number of missing line segments due to movement artifacts. The statistical conclusions reported later remained the same when we performed analyses of covariance (ANCOVAs), using one between-subjects factor (group: schizophrenia patients or control subjects) and one covariate (age).
To test for group differences in ICC, a Student's t test was performed. For comparison of the hippocampal volume, a two-factor analysis of variance (ANOVA) was performed, using one between-subjects factor (group: schizophrenia patients or control subjects) and one withinsubjects factor (hemisphere: left or right). Absolute volume and relative volume (region of interest [ROI] volume/ICC volume) were separately used as the dependent measure. Of note, the statistical conclusions reported below remained the same when absolute volume was analyzed with ICC as a covariate. Moreover, statistical conclusions also remained the same when a two-factor ANCOVA was performed, using one covariate (age). The same analyses were performed to assess differences between groups of subjects taking typical and atypical antipsychotics.
To evaluate correlations between DTI measures of fornix and hippocampal volumes Pearson's Product-Moment correlation coefficients were calculated. Absolute volumes were used for hippocampal volumes. Due to statistically significant correlations among mean FA, crosssectional area of the fornix, and medication dosage, we also computed partial correlation coefficients to control for medication.
Exploratory analyses of the relationship between MRI measures and clinical measures (i.e., age, age at onset, duration of illness, medication dosage, four SAPS and five SANS subscores, total scores for SAPS and SANS, IQ, and the score for "general memory" of WMS-III) were computed using Spearman's rho. Because these analyses were exploratory in nature, we used p < .05 for statistical significance, rather than correcting for multiple correlations. We also computed partial correlation coefficients controlling for medication.

Results
There were no significant group differences in age or PSES. Patients with schizophrenia showed significantly lower SES and IQ than control subjects (Table 1). There were no significant group differences in history of alcohol abuse or other substance abuse (p > .1). There were no significant differences between groups taking typical and atypical antipsychotics in medication dosages (t[20] = -.454, p = .654). There were no significant group differences in ICC volume.
For movement artifacts, there were no significant differences in the number of missing line segments between two groups (t[53] = -.122, p = .904). Table 2.

Correlations Between Measures of the Fornix and Hippocampal Volumes
Mean D m of the fornix negatively correlated with both left hippocampal volume (r = -.437, p = .033, partial correlation coefficients controlling for medication dosage: r = -.423, p = . 044), and right hippocampal volume (r = -.587, p = .003, partial correlation coefficients: r = -.576, p = .004) for the schizophrenia group only ( Figure 5). The cross-sectional area of the fornix positively correlated with both left hippocampal volume (r = .457, p = .025, partial correlation coefficients: r = .450, p = .031) and right hippocampal volume (r = .477, p = .018, partial correlation coefficients: r = .453, p = .030) for the schizophrenic group only ( Figure 5). FA was not correlated with hippocampal volumes. Hippocampal volumes were not correlated with any measures of the fornix in the control group.

Correlation of MR Measures of the Fornix and the Hippocampus with Clinical Measures
Age was positively correlated with mean D m (rho = .403, p = .025) of the fornix for the control group. This is similar to findings reporting an increase in mean diffusivity within other regions of the brain in normal aging (Abe et al 2002;Moseley 2002). IQ was not statistically significantly correlated with any MRI measures for either group. In the schizophrenic group, age, age at onset of illness, and duration of illness were not correlated with any MRI measures of the fornix or the hippocampus for the schizophrenic group. Medication dosage was negatively correlated with mean FA (rho = -.679, p < .001) and cross-sectional area of the fornix (rho = -.477, p = .018) and was positively correlated with mean D m (rho = .525, p = . 009).
Cross-sectional area of the fornix was negatively correlated with the SANS score for global attention (rho = -.520, p = .016), one of five SANS subscores, as reduced cross-sectional area of the fornix correlated with worse SANS rating of global attention. The correlation did not remain significant when controlling for medication dosage (partial correlation coefficients: r = .351, p = .129). In contrast, for neuropsychologic measures of memory, reduced scores on the WMS-III general memory (delayed memory for both verbal and visual material) correlated with reduced left (rho = .524, p = .018, partial correlation coefficients controlling for medication dosage: r = .600, p = .007, Figure 6) and right (rho = .477, p = .034, partial correlation coefficients: r = .590, p = .008, Figure 6) hippocampal volumes, and these correlations remained significant even when controlling for medication dosage. There were no such correlations for the control group.

Discussion
To our knowledge, this is the first study to evaluate the fornix specifically using DTI methods. In this study, fiber integrity of the fornix and hippocampal volume were measured in patients with chronic schizophrenia and in normal control subjects. The results showed reduced FA and cross-sectional area and increased D m in the fornix in the schizophrenia patients compared with normal control subjects. Additionally, bilateral hippocampal volume was reduced in patients with schizophrenia compared with normal control subjects. Moreover, reduced hippocampal volume was correlated with increased D m and reduced cross-sectional area of the fornix in the schizophrenic group.
As discussed previously, FA and D m are observed to change as a function of normal aging processes and neurodegenerative processes. Reduced FA and simultaneous increased D m indicate that fornix abnormalities may be due to either immaturity or degeneration of the fiber tract. The findings that patients with chronic schizophrenia have abnormalities in the integrity of the fornix indicate abnormal connectivity between the hippocampus and other brain regions. These abnormalities may reflect decreased axonal density, axonal damage, or decreased degree of myelination (Beaulieu 2002). In a postmortem study, Chance et al (1999) found high fiber density in the left fornix in male schizophrenia patients, without significant differences in the total number of fibers. They also measured fiber density in different parts of the fornix (measured in left and right columns of the fornix, which is located superior to the anterior commissure, whereas we measured fornix integrity in the body of the fornix), and their subjects were older (male schizophrenia patients: 62.1 years, male control subjects: 67.3 years) than our subjects. These differences may contribute to inconsistencies in the findings. Kuzniecky et al (1999) found fornix atrophy in 86% of temporal lobe epilepsy patients with unilateral hippocampal atrophy and in almost all patients with bilateral symmetrical hippocampal atrophy. This finding suggests that hippocampal atrophy may cause secondary fornix atrophy. Disrupted fornix integrity and reduced cross-sectional area of the fornix in our study may thus reflect abnormal hippocampi in schizophrenia. Of note, the bilateral hippocampal volume reductions and positive correlation between cross-sectional area of the fornix and hippocampal volume in our patients with schizophrenia support this interpretation.
In our study, patients with schizophrenia showed a statistically significantly lower IQ than normal control subjects; however, IQ was not significantly correlated with any MRI measures for either group. Nonetheless, the question of IQ and disease-related structural changes, as revealed by MRI and DTI, requires further study.
Furthermore, reduced volume of the hippocampus and a disruption in connectivity between the hippocampus and other brain regions may result in dysfunction in important neural circuits, such as between prefrontal cortex, striatum, and thalamus. The correlations between hippocampal volumes and scores on the WMS-III and between the cross-sectional area of the fornix and a measure of negative symptoms (the global attention SANS subscore) are consistent with this disruption hypothesis. Our prior findings revealed evidence of a double dissociation of left uncinate fasciculus and cingulate bundle with deficits in declarative episodic memory and executive function, respectively (Nestor et al 2004). Our current findings add to these data by linking disease-related abnormalities of the fornix and the hippocampus to reduced declarative memory. Taken together, the current and past findings help to demarcate the distributed nature of the functional neuroanatomy of memory disturbance in schizophrenia.
Because this patient population was on antipsychotic mediation, it is not known to what degree the illness itself and chronic antipsychotic treatment contribute to this pathology. There was a correlation between higher dose of antipsychotic medication and reduced mean FA, reduced cross-sectional area of the fornix, and increased mean D m . Antipsychotic medication may thus affect both fornix integrity and the size of the fornix. There are only a small number of studies that have evaluated the relationship between antipsychotic medication and diffusion measures. Buchsbaum and coworkers (1998) did not find statistically significant differences in FA in the prefrontal cortex between groups receiving antipsychotic treatment for the first time and those patients receiving chronic antipsychotic treatment. Foong et al (2000) also did not find a statistically significant correlation between medication dosage and FA or D m in the corpus callosum. Minami et al (2003), however, found a statistically significant correlation between higher FA of left frontal white matter and higher dose of antipsychotic medication. Thus, the effect of antipsychotic medication on DTI measures is still not well understood. On the other hand, there have been several studies of association between antipsychotics and brain morphology. For example, Selemon et al (1999) reported increased volume and astroglial density in prefrontal cortex of monkey brain after 6 months medication for both typical and atypical antipsychotics. It has been suggested that astroglial proliferation may occur in white matter as well, but this is not well documented.
In human studies evaluating the association between white matter morphology and antipsychotics, Christensen et al (2004) found nonsignificant increased white matter volume in schizophrenia patients who failed to respond to antipsychotics after 4 weeks medication but a statistically significant decrease in white matter volume in responders. There was no relationship between receiving medication and white matter changes, and they found no evidence that antipsychotic medication itself caused volumetric change in cerebral white matter. Lieberman et al (2005) also found no significant changes in white matter volume in patients with first-episode psychosis during 104 weeks of receiving either olanzapine or haloperidol. The effect of antipsychotic medication on white matter is thus still not well understood, and a longitudinal study of first-episode patients will be needed to clarify this issue. Whether abnormalities in the integrity of the fornix and the hippocampus are progressive also requires further study. Of note, Davies et al (2001) reported an increase in cross-sectional area of the fornix in patients with early-onset schizophrenia. This suggests that the cross-sectional area of the fornix may be reduced in the postonset course of the illness, although the methodology for measuring cross-sectional area of the fornix, using conventional MRI differs among studies. Other explanations are, however, possible, and further studies are required to know whether illness itself or antipsychotic medication contribute to our findings.
There are several limitations in this study. First, subject populations included men only. Second, we do not know whether the group differences in MR measures reflect effects of diagnosis per se or secondary effects of having a chronic illness such as lack of environmental stimulation, being unemployed, or disabling effects of normative aging processes, although duration of illness was not significantly correlated with any MR measures in the schizophrenic group. Moreover, age was correlated with only one MR measure, mean D m for control subjects (rho = -.43, p = .025), but when we covaried for age, all group differences remained the same. Third, we selected three slices to evaluate the integrity of the fornix. We could not, however, evaluate abnormalities in specific regions of the fornix (i.e., left and right columns and crux of fornix, the precommissural fornix) because peripheral parts of the fornix are too small to evaluate reliably using our acquisition method. A better approach for future studies might be to use fiber tractography methods to evaluate the whole fornix. This method is still in development, however. We also note that our LSDI sequence has relatively higher in-plane resolution than out-of-plane resolution, thus making it better for ROI measurement of fiber tracts perpendicular to the coronal (acquisition) plane. Moreover, we used angular information to select the most perpendicular slice of the fornix to the coronal plane. Such a choice should reduce potential effects of partial volumes despite relatively low out-of-plane resolution. Fourth, because of this choice, we were more likely to evaluate slightly different parts of the fornix across subjects. An alternative way to measure the fornix might be to use a predetermined distance along the fornix; however, the fact that the body of fornix has no branches may reduce variation of our measurements. We believe that it should have more advantages to select the most perpendicular slice of the fornix first to reduce potential effects of partial volumes as mentioned earlier. Another alternative way to perform diffusion measurements within the fornix would be to define the ROI on one of the high-resolution structural images and then transfer these coordinates to the DTI image. Small errors of manual segmentation of the fornix and misregistration for transforming these segmentations to DTI images could, however, have significant effects on DTI measures because of the small size of the fornix. We believe that our method, which is to select a reliable portion of the fornix on the DTI image, has more advantages.
In conclusion, abnormal fornix integrity is present in patients with chronic schizophrenia. This abnormality was correlated with bilateral hippocampal volume reduction. In addition, for the patients only, reduced neuropsychologic scores on standardized tests of declarative memory correlated with reduced hippocampal volumes (possibly related more to the entorhinal than the fornix efferent pathway). Our findings strongly suggest that hippocampal dysfunction and disrupted connectivity between the hippocampus and other brain regions may play an important role in both the pathology of schizophrenia as well as in the core neuropsychologic disturbance of the disease. Further studies are nonetheless needed to determine what contributes to fornix and hippocampal abnormalities in schizophrenia, and whether or not they are progressive. (A) An illustration showing anisotropic diffusion. In directionally well-organized tissue, such as the white-matter fiber bundles, diffusion along one direction is greater than the others (i.e., λ 1 >>λ 2 >λ 3 ). λ1: the largest eigenvalue, which corresponds to the length of the long radial of the ellipsoid; λ 2 : the second eigenvalue; λ 3 : the smallest eigenvalue; e 1 : the eigenvector with the largest eigenvalue; e 2 : the eigenvector with the second eigenvalue; e 3 : the eigenvector with the smallest eigenvalue. (B) An illustration showing the x-y-z coordinate system that we used. Images are FA maps. x: in-plane horizontal axis (left-right), y: in-plane vertical axis (superiorinferior), z: out-of-plane axis (anterior-posterior). Fractional anisotropy map, out-of-plane principal diffusion component map, and color-coded map. Upper row: the selected slice. Lower row: the slice just anterior to the selected slice. The boundary of fornix is shown in the out-of-plane principal diffusion component maps and the color-coded maps. In out-of-plane principal diffusion component map, high-intensity corresponds to the fiber tract perpendicular to the plane, and the fornix is easy to differentiate. Two angle maps were merged in this color-coded map to make it more intuitively understandable to the reader. One is a map for the angle between the first eigenvector and the sagittal plane. The other is a map for the angle between the first eigenvector and the axial plane. The color table shows these two angular values of each color. Red color means the first eigenvector closely perpendicular to the coronal plane. Green color means the eigenvector with medial-lateral direction. Green color in the superior part of each color-coded image corresponds to the corpus callosum. Blue color means the eigenvector with superior-inferior direction. Blue color in the inferior part of both sides corresponds to the internal capsule. Blue color in the delineated fornix of the slice just anterior to the selected slice indicates that the fornix is descending inferiorly in this slice. CB, cingulum bundle; CC, corpus callosum; IC, internal capsule.  Fractional anisotropy map of a schizophrenic patient (SZ, left) and control subject (NC, right). Red color area with a white outline shows the delineated fornix. Scattergrams between D m and absolute volume of left and right hippocampus between crosssectional area of the fornix in patients with schizophrenia. Pearson's Product-Moment correlation coefficients were used for testing statistical significance, and a least squares line is also shown. Scattergrams between absolute volume of left and right hippocampus and general memory index scores of Wechsler Memory Scale-3rd edition (WMS-III) in patients with schizophrenia. Spearman's rho was used for testing statistical significance; we also plotted a least squares line for the convenience of the reader.