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Research ArticleBrain

Is Volume Transfer Coefficient (Ktrans) Related to Histologic Grade in Human Gliomas?

Tufail F. Patankar, Hamied A. Haroon, Samantha J. Mills, Danielle Balériaux, David L. Buckley, Geoff J.M. Parker and Alan Jackson
American Journal of Neuroradiology November 2005, 26 (10) 2455-2465;
Tufail F. Patankar
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Hamied A. Haroon
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Samantha J. Mills
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Danielle Balériaux
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David L. Buckley
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Geoff J.M. Parker
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Alan Jackson
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  • Fig 1.
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    Fig 1.

    Representative Ktrans maps from (A) a grade II fibrillary astrocytoma, (B) a grade III anaplastic astrocytoma, and (C) a grade IV glioblastoma multiforme. The white boxes enclose the tumor area in each image. Note that vasculature does not appear in these maps, and Ktrans values in normal brain are insignificant and consistent with noise. The Ktrans values in the grade II tumor (A) are insignificant corresponding to the lack of enhancement with contrast. The high-grade-defining necrotic core is clearly evident in the middle of the tumor in panel C. The heterogeneity of Ktrans is clearly evident in the enhancing tumor portion in panels B and C.

  • Fig 2.
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    Fig 2.

    Representative CBV maps from (A) a grade II fibrillary astrocytoma, (B) a grade III anaplastic astrocytoma, and (C) a grade IV glioblastoma multiforme. The white boxes enclose the tumor area in each image. The normal cerebral vasculature is clearly seen on these maps, particularly the superior sagittal sinus and other major vessels. The grade II tumor in panel A homogeneously shows very low blood volume, which is below the measurement accuracy of the technique. The necrotic core is clearly evident in the middle of the tumor in panel C. The heterogeneity of CBV is clearly evident in the enhancing tumor portion in panels B and C and shows very different distributions to those in Fig 1 (A and B).

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    Fig 3.

    Scattergrams showing the relationships between histologic grade and median values of Ktrans, Ktrans (95%), CBV, and CBV (95%). Individual cases are indicated by circles, multiple cases are represented by the addition of “petals” to the glyph with the number of petals representing the number of cases. Lines indicate the optimal linear regression fit for the data and the 95th percentile confidence limits for the regression fit for the entire dataset. The correlation between grade and the median values of each of the parametric variables is significant (Ktrans, Ktrans [95%], CBV, and CBV [95%]; P < .01).

  • Fig 4.
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    Fig 4.

    Scattergram showing the relationship between values of median CBV and Ktrans (95%) for all individual cases. The grade II tumors show lower values of both CBV and Ktrans (95%). Higher values are seen in grade III and IV tumors, but there is a considerable overlap in these distributions.

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    Fig 5.

    ROC analysis showing effect of using each individual variable or the discriminant function (C1) in differentiating between high- and low-grade tumors. The area under the ROC curve for high- versus low-grade is greatest for the discriminant function (0.993). Within the independent parametric variables the area was highest for Ktrans (95%) (0.986), though similarly high values were seen for Ktrans and CBV (0.979 and 0.966, respectively). (Areas under the ROC curves are shown in Table 7.)

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    Fig 6.

    ROC analysis for separation of grade III and IV tumors. Areas under the ROC curves are shown in Table 7.

Tables

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    TABLE 1:

    Patient demographics

    Patient No./Sex/Age (y)Histological Grade
    1/M/52IV
    2/M/58IV
    3/F/31II
    4/F/46III
    5/M/75III
    6/M/55IV
    7/M/52IV
    8/M/53III
    9/M/53IV
    10/M/45IV
    11/M/54IV
    12/F/71IV
    13/M/64IV
    14/M/69IV
    15/M/69IV
    16/M/50IV
    17/M/55IV
    18/M/65IV
    19/F/56IV
    20/M/47II*
    21/F/46II*
    22/M/44II*
    23/F/34II*
    24/M/45II
    25/F/42II
    26/M/38III
    27/M/46III
    28/M/53IV
    29/M/58IV
    30/M/48IV
    31/F/40II*
    32/F/60IV
    33/M/55IV
    34/M/72II
    35/M/61IV
    36/M/50IV
    37/M/77IV
    38/M/42III
    39/F/33II
    • Note.—Grading is according to World Health Organisation criteria for histopathologic findings of tissue biopsy samples taken after imaging. In general, glioma grade II indicates fibrillary astrocytoma; III, anaplastic astrocytoma; IV, glioblastoma multiforme.

    • * Oligodendroglioma, but has been included.

    • View popup
    TABLE 2:

    Means and standard deviations of volume transfer coefficient (Ktrans) and cerebral blood volume (CBV) measurements in gliomas grouped by World Health Organization grade

    WHO Histological GradeNo. of PatientsKtrans (min−1)CBV (%)
    MeanSDMeanSD
    Median values*
        II100.0007120.0007121.2840.75
        III60.01850.01022.9950.44
        IV230.0250.01774.0221.352
    95% values
        II100.0180.01264.632.47
        III60.0730.0338.831.64
        IV230.1120.05512.244.37
    • Note.—Assumes that values are normally distributed.

    • View popup
    TABLE 3:

    Post hoc pairwise comparisons between grades (Tamahane test)

    Grade IIIGrade IV
    Grade II
        CBV<.001<.001
        KtransNS<.001
        CBV (95%)<.01<.001
        Ktrans (95%)<.05<.001
    Grade III
        CBV<.05
        KtransNS
        CBV (95%)<.05
        Ktrans (95%)NS
    • Note.—CBV indicates cerebral blood volume; Ktrans, volume transfer coefficient. Grading is according to World Health Organization criteria.

    • View popup
    TABLE 4:

    Correlation values (Spearman rho) and significance of the correlation between each of the four parameteric variables and grade

    Spearman rhoSignificance
    CBV0.719<.001
    Ktrans0.656<.001
    CBV (95%)0.718<.01
    Ktrans (95%)0.740<.001
    • Note.—CBV indicates cerebral blood volume; Ktrans, volume transfer coefficient.

    • View popup
    TABLE 5:

    Classification results using the canonical discriminate variable

    Predicted/ObservedGrade IIGrade IIIGrade IV
    Grade II9 (90)1 (10)0
    Grade III06 (100)0
    Grade IV09 (39.1)14 (60.9)
    • Note.—Numbers in parentheses represent percentages of correct classification. The total number of cases correctly classified is 74.4%

    • C1=0.695 (CBV) + 0.577 (Ktrans (95%)), where CBV indicate cerebral blood volume and Ktrans is the volume transfer coefficient.

    • View popup
    TABLE 6:

    Classification results using canonical discriminate functions derived using a leave-one-out (jackknife) cross-validation analysis

    Predicted/ObservedGrade IIGrade IIIGrade IV
    Grade II9 (90)1 (10)0
    Grade III1 (16.7)4 (66.7)1 (16.7)
    Grade IV09 (39.1)14 (60.9)
    • Note.—This approach can be expected to represent classifications more accurately that are expected in a larger population. Numbers in parentheses represent percentages. The number of cases correctly classified is 69.2%.

    • View popup
    TABLE 7:

    Results of the receiver operator curve analysis for each variable and for the discriminate function C1 in differentiating between low-grade tumors and grades III IV high-grade tumors

    High Versus Low GradeGrade III Versus Grade IV
    CBV0.966 (<.001)0.754 (NS)
    Ktrans0.979 (<.05)0.551 (NS)
    CBV (95%)0.955 (<.001)0.754 (NS)
    Ktrans (95%)0.986 (<.001)0.725 (NS)
    CI0.993 (<.001)0.732 (NS)
    • Note.—CBV indicates cerebral blood volume; Ktrans, volume transfer coefficient. Values are areas under ROC followed by significance (P values) in parentheses.

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American Journal of Neuroradiology: 26 (10)
American Journal of Neuroradiology
Vol. 26, Issue 10
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Tufail F. Patankar, Hamied A. Haroon, Samantha J. Mills, Danielle Balériaux, David L. Buckley, Geoff J.M. Parker, Alan Jackson
Is Volume Transfer Coefficient (Ktrans) Related to Histologic Grade in Human Gliomas?
American Journal of Neuroradiology Nov 2005, 26 (10) 2455-2465;

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Is Volume Transfer Coefficient (Ktrans) Related to Histologic Grade in Human Gliomas?
Tufail F. Patankar, Hamied A. Haroon, Samantha J. Mills, Danielle Balériaux, David L. Buckley, Geoff J.M. Parker, Alan Jackson
American Journal of Neuroradiology Nov 2005, 26 (10) 2455-2465;
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